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---
language:
- en
tags:
- sentence-transformers
- sentence-similarity
- feature-extraction
- generated_from_trainer
- dataset_size:557850
- loss:MatryoshkaLoss
- loss:MultipleNegativesRankingLoss
base_model: answerdotai/ModernBERT-base
widget:
- source_sentence: A construction worker is standing on a crane placing a large arm
    on top of a stature in progress.
  sentences:
  - A man is playing with his camera.
  - A person standing
  - Nobody is standing
- source_sentence: A boy in red slides down an inflatable ride.
  sentences:
  - a baby smiling
  - A boy is playing on an inflatable ride.
  - A boy pierces a knife through an inflatable ride.
- source_sentence: A man in a black shirt is playing a guitar.
  sentences:
  - A group of women are selling their wares
  - The man is wearing black.
  - The man is wearing a blue shirt.
- source_sentence: A man with a large power drill standing next to his daughter with
    a vacuum cleaner hose.
  sentences:
  - A man holding a drill stands next to a girl holding a vacuum hose.
  - Kids ride an amusement ride.
  - The man and girl are painting the walls.
- source_sentence: A middle-aged man works under the engine of a train on rail tracks.
  sentences:
  - A guy is working on a train.
  - Two young asian men are squatting.
  - A guy is driving to work.
datasets:
- sentence-transformers/all-nli
pipeline_tag: sentence-similarity
library_name: sentence-transformers
metrics:
- pearson_cosine
- spearman_cosine
model-index:
- name: SentenceTransformer based on estrogen/ModernBERT-base-sbert-initialized
  results:
  - task:
      type: semantic-similarity
      name: Semantic Similarity
    dataset:
      name: sts dev
      type: sts-dev
    metrics:
    - type: pearson_cosine
      value: 0.8601586939371598
      name: Pearson Cosine
    - type: spearman_cosine
      value: 0.8650559283517015
      name: Spearman Cosine
  - task:
      type: semantic-similarity
      name: Semantic Similarity
    dataset:
      name: sts test
      type: sts-test
    metrics:
    - type: pearson_cosine
      value: 0.8483904083763342
      name: Pearson Cosine
    - type: spearman_cosine
      value: 0.8504558364206114
      name: Spearman Cosine
---

# SentenceTransformer based on estrogen/ModernBERT-base-sbert-initialized

This is a [sentence-transformers](https://www.SBERT.net) model finetuned from [estrogen/ModernBERT-base-sbert-initialized](https://huggingface.co/estrogen/ModernBERT-base-sbert-initialized) on the [all-nli](https://huggingface.co/datasets/sentence-transformers/all-nli) dataset. It maps sentences & paragraphs to a 768-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.

## Model Details

### Model Description
- **Model Type:** Sentence Transformer
- **Base model:** [estrogen/ModernBERT-base-sbert-initialized](https://huggingface.co/estrogen/ModernBERT-base-sbert-initialized) <!-- at revision d80f2f10df59065d673fa4d9ef890aae3cbf4b68 -->
- **Maximum Sequence Length:** 8192 tokens
- **Output Dimensionality:** 768 dimensions
- **Similarity Function:** Cosine Similarity
- **Training Dataset:**
    - [all-nli](https://huggingface.co/datasets/sentence-transformers/all-nli)
- **Language:** en
<!-- - **License:** Unknown -->

### Model Sources

- **Documentation:** [Sentence Transformers Documentation](https://sbert.net)
- **Repository:** [Sentence Transformers on GitHub](https://github.com/UKPLab/sentence-transformers)
- **Hugging Face:** [Sentence Transformers on Hugging Face](https://huggingface.co/models?library=sentence-transformers)

### Full Model Architecture

```
SentenceTransformer(
  (0): Transformer({'max_seq_length': 8192, 'do_lower_case': False}) with Transformer model: ModernBertModel 
  (1): Pooling({'word_embedding_dimension': 768, 'pooling_mode_cls_token': False, 'pooling_mode_mean_tokens': True, 'pooling_mode_max_tokens': False, 'pooling_mode_mean_sqrt_len_tokens': False, 'pooling_mode_weightedmean_tokens': False, 'pooling_mode_lasttoken': False, 'include_prompt': True})
)
```

## Usage

### Direct Usage (Sentence Transformers)

First install the Sentence Transformers library:

```bash
pip install -U sentence-transformers
```

Then you can load this model and run inference.
```python
from sentence_transformers import SentenceTransformer

# Download from the 🤗 Hub
model = SentenceTransformer("estrogen/ModernBERT-base-nli-v3")
# Run inference
sentences = [
    'A middle-aged man works under the engine of a train on rail tracks.',
    'A guy is working on a train.',
    'A guy is driving to work.',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 768]

# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities.shape)
# [3, 3]
```

<!--
### Direct Usage (Transformers)

<details><summary>Click to see the direct usage in Transformers</summary>

</details>
-->

<!--
### Downstream Usage (Sentence Transformers)

You can finetune this model on your own dataset.

<details><summary>Click to expand</summary>

</details>
-->

<!--
### Out-of-Scope Use

*List how the model may foreseeably be misused and address what users ought not to do with the model.*
-->

## Evaluation

### Metrics

#### Semantic Similarity

* Datasets: `sts-dev` and `sts-test`
* Evaluated with [<code>EmbeddingSimilarityEvaluator</code>](https://sbert.net/docs/package_reference/sentence_transformer/evaluation.html#sentence_transformers.evaluation.EmbeddingSimilarityEvaluator)

| Metric              | sts-dev    | sts-test   |
|:--------------------|:-----------|:-----------|
| pearson_cosine      | 0.8602     | 0.8484     |
| **spearman_cosine** | **0.8651** | **0.8505** |

<!--
## Bias, Risks and Limitations

*What are the known or foreseeable issues stemming from this model? You could also flag here known failure cases or weaknesses of the model.*
-->

<!--
### Recommendations

*What are recommendations with respect to the foreseeable issues? For example, filtering explicit content.*
-->

## Training Details

### Training Dataset

#### all-nli

* Dataset: [all-nli](https://huggingface.co/datasets/sentence-transformers/all-nli) at [d482672](https://huggingface.co/datasets/sentence-transformers/all-nli/tree/d482672c8e74ce18da116f430137434ba2e52fab)
* Size: 557,850 training samples
* Columns: <code>anchor</code>, <code>positive</code>, and <code>negative</code>
* Approximate statistics based on the first 1000 samples:
  |         | anchor                                                                            | positive                                                                          | negative                                                                          |
  |:--------|:----------------------------------------------------------------------------------|:----------------------------------------------------------------------------------|:----------------------------------------------------------------------------------|
  | type    | string                                                                            | string                                                                            | string                                                                            |
  | details | <ul><li>min: 7 tokens</li><li>mean: 10.46 tokens</li><li>max: 46 tokens</li></ul> | <ul><li>min: 6 tokens</li><li>mean: 12.91 tokens</li><li>max: 40 tokens</li></ul> | <ul><li>min: 5 tokens</li><li>mean: 13.49 tokens</li><li>max: 51 tokens</li></ul> |
* Samples:
  | anchor                                                                     | positive                                         | negative                                                   |
  |:---------------------------------------------------------------------------|:-------------------------------------------------|:-----------------------------------------------------------|
  | <code>A person on a horse jumps over a broken down airplane.</code>        | <code>A person is outdoors, on a horse.</code>   | <code>A person is at a diner, ordering an omelette.</code> |
  | <code>Children smiling and waving at camera</code>                         | <code>There are children present</code>          | <code>The kids are frowning</code>                         |
  | <code>A boy is jumping on skateboard in the middle of a red bridge.</code> | <code>The boy does a skateboarding trick.</code> | <code>The boy skates down the sidewalk.</code>             |
* Loss: [<code>MatryoshkaLoss</code>](https://sbert.net/docs/package_reference/sentence_transformer/losses.html#matryoshkaloss) with these parameters:
  ```json
  {
      "loss": "MultipleNegativesRankingLoss",
      "matryoshka_dims": [
          768,
          512,
          256,
          128,
          64
      ],
      "matryoshka_weights": [
          1,
          1,
          1,
          1,
          1
      ],
      "n_dims_per_step": -1
  }
  ```

### Evaluation Dataset

#### all-nli

* Dataset: [all-nli](https://huggingface.co/datasets/sentence-transformers/all-nli) at [d482672](https://huggingface.co/datasets/sentence-transformers/all-nli/tree/d482672c8e74ce18da116f430137434ba2e52fab)
* Size: 6,584 evaluation samples
* Columns: <code>anchor</code>, <code>positive</code>, and <code>negative</code>
* Approximate statistics based on the first 1000 samples:
  |         | anchor                                                                            | positive                                                                         | negative                                                                          |
  |:--------|:----------------------------------------------------------------------------------|:---------------------------------------------------------------------------------|:----------------------------------------------------------------------------------|
  | type    | string                                                                            | string                                                                           | string                                                                            |
  | details | <ul><li>min: 6 tokens</li><li>mean: 18.25 tokens</li><li>max: 69 tokens</li></ul> | <ul><li>min: 5 tokens</li><li>mean: 9.88 tokens</li><li>max: 30 tokens</li></ul> | <ul><li>min: 5 tokens</li><li>mean: 10.48 tokens</li><li>max: 29 tokens</li></ul> |
* Samples:
  | anchor                                                                                                                                                                         | positive                                                    | negative                                                |
  |:-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|:------------------------------------------------------------|:--------------------------------------------------------|
  | <code>Two women are embracing while holding to go packages.</code>                                                                                                             | <code>Two woman are holding packages.</code>                | <code>The men are fighting outside a deli.</code>       |
  | <code>Two young children in blue jerseys, one with the number 9 and one with the number 2 are standing on wooden steps in a bathroom and washing their hands in a sink.</code> | <code>Two kids in numbered jerseys wash their hands.</code> | <code>Two kids in jackets walk to school.</code>        |
  | <code>A man selling donuts to a customer during a world exhibition event held in the city of Angeles</code>                                                                    | <code>A man selling donuts to a customer.</code>            | <code>A woman drinks her coffee in a small cafe.</code> |
* Loss: [<code>MatryoshkaLoss</code>](https://sbert.net/docs/package_reference/sentence_transformer/losses.html#matryoshkaloss) with these parameters:
  ```json
  {
      "loss": "MultipleNegativesRankingLoss",
      "matryoshka_dims": [
          768,
          512,
          256,
          128,
          64
      ],
      "matryoshka_weights": [
          1,
          1,
          1,
          1,
          1
      ],
      "n_dims_per_step": -1
  }
  ```

### Training Hyperparameters
#### Non-Default Hyperparameters

- `eval_strategy`: steps
- `per_device_train_batch_size`: 1024
- `per_device_eval_batch_size`: 1024
- `num_train_epochs`: 1
- `warmup_ratio`: 0.1
- `bf16`: True
- `batch_sampler`: no_duplicates

#### All Hyperparameters
<details><summary>Click to expand</summary>

- `overwrite_output_dir`: False
- `do_predict`: False
- `eval_strategy`: steps
- `prediction_loss_only`: True
- `per_device_train_batch_size`: 1024
- `per_device_eval_batch_size`: 1024
- `per_gpu_train_batch_size`: None
- `per_gpu_eval_batch_size`: None
- `gradient_accumulation_steps`: 1
- `eval_accumulation_steps`: None
- `torch_empty_cache_steps`: None
- `learning_rate`: 5e-05
- `weight_decay`: 0.0
- `adam_beta1`: 0.9
- `adam_beta2`: 0.999
- `adam_epsilon`: 1e-08
- `max_grad_norm`: 1.0
- `num_train_epochs`: 1
- `max_steps`: -1
- `lr_scheduler_type`: linear
- `lr_scheduler_kwargs`: {}
- `warmup_ratio`: 0.1
- `warmup_steps`: 0
- `log_level`: passive
- `log_level_replica`: warning
- `log_on_each_node`: True
- `logging_nan_inf_filter`: True
- `save_safetensors`: True
- `save_on_each_node`: False
- `save_only_model`: False
- `restore_callback_states_from_checkpoint`: False
- `no_cuda`: False
- `use_cpu`: False
- `use_mps_device`: False
- `seed`: 42
- `data_seed`: None
- `jit_mode_eval`: False
- `use_ipex`: False
- `bf16`: True
- `fp16`: False
- `fp16_opt_level`: O1
- `half_precision_backend`: auto
- `bf16_full_eval`: False
- `fp16_full_eval`: False
- `tf32`: None
- `local_rank`: 0
- `ddp_backend`: None
- `tpu_num_cores`: None
- `tpu_metrics_debug`: False
- `debug`: []
- `dataloader_drop_last`: False
- `dataloader_num_workers`: 0
- `dataloader_prefetch_factor`: None
- `past_index`: -1
- `disable_tqdm`: False
- `remove_unused_columns`: True
- `label_names`: None
- `load_best_model_at_end`: False
- `ignore_data_skip`: False
- `fsdp`: []
- `fsdp_min_num_params`: 0
- `fsdp_config`: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}
- `fsdp_transformer_layer_cls_to_wrap`: None
- `accelerator_config`: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}
- `deepspeed`: None
- `label_smoothing_factor`: 0.0
- `optim`: adamw_torch
- `optim_args`: None
- `adafactor`: False
- `group_by_length`: False
- `length_column_name`: length
- `ddp_find_unused_parameters`: None
- `ddp_bucket_cap_mb`: None
- `ddp_broadcast_buffers`: False
- `dataloader_pin_memory`: True
- `dataloader_persistent_workers`: False
- `skip_memory_metrics`: True
- `use_legacy_prediction_loop`: False
- `push_to_hub`: False
- `resume_from_checkpoint`: None
- `hub_model_id`: None
- `hub_strategy`: every_save
- `hub_private_repo`: None
- `hub_always_push`: False
- `gradient_checkpointing`: False
- `gradient_checkpointing_kwargs`: None
- `include_inputs_for_metrics`: False
- `include_for_metrics`: []
- `eval_do_concat_batches`: True
- `fp16_backend`: auto
- `push_to_hub_model_id`: None
- `push_to_hub_organization`: None
- `mp_parameters`: 
- `auto_find_batch_size`: False
- `full_determinism`: False
- `torchdynamo`: None
- `ray_scope`: last
- `ddp_timeout`: 1800
- `torch_compile`: False
- `torch_compile_backend`: None
- `torch_compile_mode`: None
- `dispatch_batches`: None
- `split_batches`: None
- `include_tokens_per_second`: False
- `include_num_input_tokens_seen`: False
- `neftune_noise_alpha`: None
- `optim_target_modules`: None
- `batch_eval_metrics`: False
- `eval_on_start`: False
- `use_liger_kernel`: False
- `eval_use_gather_object`: False
- `average_tokens_across_devices`: False
- `prompts`: None
- `batch_sampler`: no_duplicates
- `multi_dataset_batch_sampler`: proportional

</details>

### Training Logs
<details><summary>Click to expand</summary>

| Epoch  | Step | Training Loss | Validation Loss | sts-dev_spearman_cosine | sts-test_spearman_cosine |
|:------:|:----:|:-------------:|:---------------:|:-----------------------:|:------------------------:|
| 0      | 0    | -             | -               | 0.5576                  | -                        |
| 0.0018 | 1    | 36.2556       | -               | -                       | -                        |
| 0.0037 | 2    | 36.6329       | -               | -                       | -                        |
| 0.0055 | 3    | 36.9705       | -               | -                       | -                        |
| 0.0073 | 4    | 36.9173       | -               | -                       | -                        |
| 0.0092 | 5    | 36.8254       | -               | -                       | -                        |
| 0.0110 | 6    | 36.7313       | -               | -                       | -                        |
| 0.0128 | 7    | 36.5865       | -               | -                       | -                        |
| 0.0147 | 8    | 36.1709       | -               | -                       | -                        |
| 0.0165 | 9    | 36.0519       | -               | -                       | -                        |
| 0.0183 | 10   | 35.712        | -               | -                       | -                        |
| 0.0202 | 11   | 35.4072       | -               | -                       | -                        |
| 0.0220 | 12   | 35.0623       | -               | -                       | -                        |
| 0.0239 | 13   | 34.6996       | -               | -                       | -                        |
| 0.0257 | 14   | 34.2426       | -               | -                       | -                        |
| 0.0275 | 15   | 33.6913       | -               | -                       | -                        |
| 0.0294 | 16   | 33.2808       | -               | -                       | -                        |
| 0.0312 | 17   | 32.5487       | -               | -                       | -                        |
| 0.0330 | 18   | 31.6451       | -               | -                       | -                        |
| 0.0349 | 19   | 30.7017       | -               | -                       | -                        |
| 0.0367 | 20   | 29.8238       | -               | -                       | -                        |
| 0.0385 | 21   | 28.7414       | -               | -                       | -                        |
| 0.0404 | 22   | 27.316        | -               | -                       | -                        |
| 0.0422 | 23   | 26.1119       | -               | -                       | -                        |
| 0.0440 | 24   | 24.7211       | -               | -                       | -                        |
| 0.0459 | 25   | 24.0007       | -               | -                       | -                        |
| 0.0477 | 26   | 22.706        | -               | -                       | -                        |
| 0.0495 | 27   | 21.7943       | -               | -                       | -                        |
| 0.0514 | 28   | 21.5753       | -               | -                       | -                        |
| 0.0532 | 29   | 20.9671       | -               | -                       | -                        |
| 0.0550 | 30   | 20.5548       | -               | -                       | -                        |
| 0.0569 | 31   | 20.263        | -               | -                       | -                        |
| 0.0587 | 32   | 19.8474       | -               | -                       | -                        |
| 0.0606 | 33   | 18.846        | -               | -                       | -                        |
| 0.0624 | 34   | 18.5923       | -               | -                       | -                        |
| 0.0642 | 35   | 17.8432       | -               | -                       | -                        |
| 0.0661 | 36   | 17.6267       | -               | -                       | -                        |
| 0.0679 | 37   | 17.1291       | -               | -                       | -                        |
| 0.0697 | 38   | 16.6147       | -               | -                       | -                        |
| 0.0716 | 39   | 16.1403       | -               | -                       | -                        |
| 0.0734 | 40   | 16.5382       | -               | -                       | -                        |
| 0.0752 | 41   | 15.7209       | -               | -                       | -                        |
| 0.0771 | 42   | 15.565        | -               | -                       | -                        |
| 0.0789 | 43   | 15.2099       | -               | -                       | -                        |
| 0.0807 | 44   | 15.2644       | -               | -                       | -                        |
| 0.0826 | 45   | 14.8458       | -               | -                       | -                        |
| 0.0844 | 46   | 15.2214       | -               | -                       | -                        |
| 0.0862 | 47   | 15.194        | -               | -                       | -                        |
| 0.0881 | 48   | 15.53         | -               | -                       | -                        |
| 0.0899 | 49   | 14.893        | -               | -                       | -                        |
| 0.0917 | 50   | 14.4146       | -               | -                       | -                        |
| 0.0936 | 51   | 14.4308       | -               | -                       | -                        |
| 0.0954 | 52   | 13.8239       | -               | -                       | -                        |
| 0.0972 | 53   | 13.9299       | -               | -                       | -                        |
| 0.0991 | 54   | 14.6545       | -               | -                       | -                        |
| 0.1009 | 55   | 14.3374       | -               | -                       | -                        |
| 0.1028 | 56   | 14.5065       | -               | -                       | -                        |
| 0.1046 | 57   | 13.8447       | -               | -                       | -                        |
| 0.1064 | 58   | 14.179        | -               | -                       | -                        |
| 0.1083 | 59   | 13.8866       | -               | -                       | -                        |
| 0.1101 | 60   | 13.4879       | -               | -                       | -                        |
| 0.1119 | 61   | 13.6273       | -               | -                       | -                        |
| 0.1138 | 62   | 13.891        | -               | -                       | -                        |
| 0.1156 | 63   | 13.6066       | -               | -                       | -                        |
| 0.1174 | 64   | 13.4999       | -               | -                       | -                        |
| 0.1193 | 65   | 13.9862       | -               | -                       | -                        |
| 0.1211 | 66   | 13.4257       | -               | -                       | -                        |
| 0.1229 | 67   | 13.9192       | -               | -                       | -                        |
| 0.1248 | 68   | 13.5504       | -               | -                       | -                        |
| 0.1266 | 69   | 13.3689       | -               | -                       | -                        |
| 0.1284 | 70   | 13.4802       | -               | -                       | -                        |
| 0.1303 | 71   | 13.0249       | -               | -                       | -                        |
| 0.1321 | 72   | 13.2021       | -               | -                       | -                        |
| 0.1339 | 73   | 13.1101       | -               | -                       | -                        |
| 0.1358 | 74   | 13.0868       | -               | -                       | -                        |
| 0.1376 | 75   | 12.8536       | -               | -                       | -                        |
| 0.1394 | 76   | 12.9317       | -               | -                       | -                        |
| 0.1413 | 77   | 12.6403       | -               | -                       | -                        |
| 0.1431 | 78   | 12.9776       | -               | -                       | -                        |
| 0.1450 | 79   | 13.1359       | -               | -                       | -                        |
| 0.1468 | 80   | 13.0558       | -               | -                       | -                        |
| 0.1486 | 81   | 13.0849       | -               | -                       | -                        |
| 0.1505 | 82   | 12.6719       | -               | -                       | -                        |
| 0.1523 | 83   | 12.5796       | -               | -                       | -                        |
| 0.1541 | 84   | 12.472        | -               | -                       | -                        |
| 0.1560 | 85   | 12.4221       | -               | -                       | -                        |
| 0.1578 | 86   | 12.0878       | -               | -                       | -                        |
| 0.1596 | 87   | 12.6923       | -               | -                       | -                        |
| 0.1615 | 88   | 12.4428       | -               | -                       | -                        |
| 0.1633 | 89   | 12.2897       | -               | -                       | -                        |
| 0.1651 | 90   | 12.4254       | -               | -                       | -                        |
| 0.1670 | 91   | 12.3808       | -               | -                       | -                        |
| 0.1688 | 92   | 12.5224       | -               | -                       | -                        |
| 0.1706 | 93   | 12.48         | -               | -                       | -                        |
| 0.1725 | 94   | 11.8793       | -               | -                       | -                        |
| 0.1743 | 95   | 11.8582       | -               | -                       | -                        |
| 0.1761 | 96   | 12.5362       | -               | -                       | -                        |
| 0.1780 | 97   | 12.3912       | -               | -                       | -                        |
| 0.1798 | 98   | 12.7162       | -               | -                       | -                        |
| 0.1817 | 99   | 12.4455       | -               | -                       | -                        |
| 0.1835 | 100  | 12.4815       | 8.5398          | 0.8199                  | -                        |
| 0.1853 | 101  | 12.1586       | -               | -                       | -                        |
| 0.1872 | 102  | 11.8041       | -               | -                       | -                        |
| 0.1890 | 103  | 11.6278       | -               | -                       | -                        |
| 0.1908 | 104  | 11.8511       | -               | -                       | -                        |
| 0.1927 | 105  | 11.762        | -               | -                       | -                        |
| 0.1945 | 106  | 11.568        | -               | -                       | -                        |
| 0.1963 | 107  | 11.8152       | -               | -                       | -                        |
| 0.1982 | 108  | 11.9005       | -               | -                       | -                        |
| 0.2    | 109  | 11.9282       | -               | -                       | -                        |
| 0.2018 | 110  | 11.8451       | -               | -                       | -                        |
| 0.2037 | 111  | 12.1208       | -               | -                       | -                        |
| 0.2055 | 112  | 11.6718       | -               | -                       | -                        |
| 0.2073 | 113  | 11.0296       | -               | -                       | -                        |
| 0.2092 | 114  | 11.4185       | -               | -                       | -                        |
| 0.2110 | 115  | 11.337        | -               | -                       | -                        |
| 0.2128 | 116  | 10.9242       | -               | -                       | -                        |
| 0.2147 | 117  | 11.0482       | -               | -                       | -                        |
| 0.2165 | 118  | 11.3196       | -               | -                       | -                        |
| 0.2183 | 119  | 11.1849       | -               | -                       | -                        |
| 0.2202 | 120  | 10.9769       | -               | -                       | -                        |
| 0.2220 | 121  | 10.5047       | -               | -                       | -                        |
| 0.2239 | 122  | 11.1094       | -               | -                       | -                        |
| 0.2257 | 123  | 11.2565       | -               | -                       | -                        |
| 0.2275 | 124  | 11.1569       | -               | -                       | -                        |
| 0.2294 | 125  | 11.5391       | -               | -                       | -                        |
| 0.2312 | 126  | 10.8941       | -               | -                       | -                        |
| 0.2330 | 127  | 10.8196       | -               | -                       | -                        |
| 0.2349 | 128  | 11.0836       | -               | -                       | -                        |
| 0.2367 | 129  | 11.4241       | -               | -                       | -                        |
| 0.2385 | 130  | 11.4976       | -               | -                       | -                        |
| 0.2404 | 131  | 10.938        | -               | -                       | -                        |
| 0.2422 | 132  | 11.5283       | -               | -                       | -                        |
| 0.2440 | 133  | 11.4238       | -               | -                       | -                        |
| 0.2459 | 134  | 11.3364       | -               | -                       | -                        |
| 0.2477 | 135  | 11.225        | -               | -                       | -                        |
| 0.2495 | 136  | 11.0415       | -               | -                       | -                        |
| 0.2514 | 137  | 10.8503       | -               | -                       | -                        |
| 0.2532 | 138  | 10.9302       | -               | -                       | -                        |
| 0.2550 | 139  | 10.5476       | -               | -                       | -                        |
| 0.2569 | 140  | 10.8422       | -               | -                       | -                        |
| 0.2587 | 141  | 10.4239       | -               | -                       | -                        |
| 0.2606 | 142  | 10.5155       | -               | -                       | -                        |
| 0.2624 | 143  | 10.589        | -               | -                       | -                        |
| 0.2642 | 144  | 10.6116       | -               | -                       | -                        |
| 0.2661 | 145  | 10.7158       | -               | -                       | -                        |
| 0.2679 | 146  | 10.6952       | -               | -                       | -                        |
| 0.2697 | 147  | 10.3678       | -               | -                       | -                        |
| 0.2716 | 148  | 11.159        | -               | -                       | -                        |
| 0.2734 | 149  | 11.3336       | -               | -                       | -                        |
| 0.2752 | 150  | 10.7669       | -               | -                       | -                        |
| 0.2771 | 151  | 10.5946       | -               | -                       | -                        |
| 0.2789 | 152  | 10.9448       | -               | -                       | -                        |
| 0.2807 | 153  | 10.7132       | -               | -                       | -                        |
| 0.2826 | 154  | 10.5812       | -               | -                       | -                        |
| 0.2844 | 155  | 10.7827       | -               | -                       | -                        |
| 0.2862 | 156  | 10.7807       | -               | -                       | -                        |
| 0.2881 | 157  | 10.7351       | -               | -                       | -                        |
| 0.2899 | 158  | 10.7904       | -               | -                       | -                        |
| 0.2917 | 159  | 10.5921       | -               | -                       | -                        |
| 0.2936 | 160  | 10.2996       | -               | -                       | -                        |
| 0.2954 | 161  | 10.2353       | -               | -                       | -                        |
| 0.2972 | 162  | 10.2108       | -               | -                       | -                        |
| 0.2991 | 163  | 10.089        | -               | -                       | -                        |
| 0.3009 | 164  | 10.1736       | -               | -                       | -                        |
| 0.3028 | 165  | 10.2599       | -               | -                       | -                        |
| 0.3046 | 166  | 10.4347       | -               | -                       | -                        |
| 0.3064 | 167  | 10.9999       | -               | -                       | -                        |
| 0.3083 | 168  | 11.1655       | -               | -                       | -                        |
| 0.3101 | 169  | 10.8125       | -               | -                       | -                        |
| 0.3119 | 170  | 10.5497       | -               | -                       | -                        |
| 0.3138 | 171  | 10.6918       | -               | -                       | -                        |
| 0.3156 | 172  | 10.4792       | -               | -                       | -                        |
| 0.3174 | 173  | 10.6018       | -               | -                       | -                        |
| 0.3193 | 174  | 10.2092       | -               | -                       | -                        |
| 0.3211 | 175  | 10.5625       | -               | -                       | -                        |
| 0.3229 | 176  | 10.3539       | -               | -                       | -                        |
| 0.3248 | 177  | 9.5403        | -               | -                       | -                        |
| 0.3266 | 178  | 10.2351       | -               | -                       | -                        |
| 0.3284 | 179  | 10.1557       | -               | -                       | -                        |
| 0.3303 | 180  | 10.0721       | -               | -                       | -                        |
| 0.3321 | 181  | 9.721         | -               | -                       | -                        |
| 0.3339 | 182  | 9.7519        | -               | -                       | -                        |
| 0.3358 | 183  | 9.7737        | -               | -                       | -                        |
| 0.3376 | 184  | 9.5207        | -               | -                       | -                        |
| 0.3394 | 185  | 9.6557        | -               | -                       | -                        |
| 0.3413 | 186  | 9.7205        | -               | -                       | -                        |
| 0.3431 | 187  | 9.9902        | -               | -                       | -                        |
| 0.3450 | 188  | 10.1699       | -               | -                       | -                        |
| 0.3468 | 189  | 10.5102       | -               | -                       | -                        |
| 0.3486 | 190  | 10.2026       | -               | -                       | -                        |
| 0.3505 | 191  | 10.1148       | -               | -                       | -                        |
| 0.3523 | 192  | 9.5341        | -               | -                       | -                        |
| 0.3541 | 193  | 9.5213        | -               | -                       | -                        |
| 0.3560 | 194  | 9.7469        | -               | -                       | -                        |
| 0.3578 | 195  | 10.1795       | -               | -                       | -                        |
| 0.3596 | 196  | 10.3835       | -               | -                       | -                        |
| 0.3615 | 197  | 10.7346       | -               | -                       | -                        |
| 0.3633 | 198  | 9.9378        | -               | -                       | -                        |
| 0.3651 | 199  | 9.7758        | -               | -                       | -                        |
| 0.3670 | 200  | 10.3206       | 7.0991          | 0.8294                  | -                        |
| 0.3688 | 201  | 9.7032        | -               | -                       | -                        |
| 0.3706 | 202  | 9.8851        | -               | -                       | -                        |
| 0.3725 | 203  | 9.9285        | -               | -                       | -                        |
| 0.3743 | 204  | 10.0227       | -               | -                       | -                        |
| 0.3761 | 205  | 9.8062        | -               | -                       | -                        |
| 0.3780 | 206  | 9.9988        | -               | -                       | -                        |
| 0.3798 | 207  | 10.0256       | -               | -                       | -                        |
| 0.3817 | 208  | 9.8837        | -               | -                       | -                        |
| 0.3835 | 209  | 10.0787       | -               | -                       | -                        |
| 0.3853 | 210  | 9.5776        | -               | -                       | -                        |
| 0.3872 | 211  | 9.6239        | -               | -                       | -                        |
| 0.3890 | 212  | 9.717         | -               | -                       | -                        |
| 0.3908 | 213  | 10.1639       | -               | -                       | -                        |
| 0.3927 | 214  | 9.4994        | -               | -                       | -                        |
| 0.3945 | 215  | 9.6895        | -               | -                       | -                        |
| 0.3963 | 216  | 9.4938        | -               | -                       | -                        |
| 0.3982 | 217  | 9.3008        | -               | -                       | -                        |
| 0.4    | 218  | 9.6183        | -               | -                       | -                        |
| 0.4018 | 219  | 9.3632        | -               | -                       | -                        |
| 0.4037 | 220  | 9.3575        | -               | -                       | -                        |
| 0.4055 | 221  | 9.4888        | -               | -                       | -                        |
| 0.4073 | 222  | 9.337         | -               | -                       | -                        |
| 0.4092 | 223  | 9.9598        | -               | -                       | -                        |
| 0.4110 | 224  | 9.345         | -               | -                       | -                        |
| 0.4128 | 225  | 9.2595        | -               | -                       | -                        |
| 0.4147 | 226  | 9.3508        | -               | -                       | -                        |
| 0.4165 | 227  | 9.8293        | -               | -                       | -                        |
| 0.4183 | 228  | 9.8365        | -               | -                       | -                        |
| 0.4202 | 229  | 9.6528        | -               | -                       | -                        |
| 0.4220 | 230  | 9.9696        | -               | -                       | -                        |
| 0.4239 | 231  | 10.113        | -               | -                       | -                        |
| 0.4257 | 232  | 9.9706        | -               | -                       | -                        |
| 0.4275 | 233  | 9.577         | -               | -                       | -                        |
| 0.4294 | 234  | 9.7624        | -               | -                       | -                        |
| 0.4312 | 235  | 9.5083        | -               | -                       | -                        |
| 0.4330 | 236  | 9.5067        | -               | -                       | -                        |
| 0.4349 | 237  | 9.1004        | -               | -                       | -                        |
| 0.4367 | 238  | 8.914         | -               | -                       | -                        |
| 0.4385 | 239  | 9.6852        | -               | -                       | -                        |
| 0.4404 | 240  | 9.573         | -               | -                       | -                        |
| 0.4422 | 241  | 9.8598        | -               | -                       | -                        |
| 0.4440 | 242  | 10.1793       | -               | -                       | -                        |
| 0.4459 | 243  | 10.2789       | -               | -                       | -                        |
| 0.4477 | 244  | 9.9536        | -               | -                       | -                        |
| 0.4495 | 245  | 9.3878        | -               | -                       | -                        |
| 0.4514 | 246  | 9.6734        | -               | -                       | -                        |
| 0.4532 | 247  | 9.3747        | -               | -                       | -                        |
| 0.4550 | 248  | 8.8334        | -               | -                       | -                        |
| 0.4569 | 249  | 9.7495        | -               | -                       | -                        |
| 0.4587 | 250  | 8.8468        | -               | -                       | -                        |
| 0.4606 | 251  | 9.3828        | -               | -                       | -                        |
| 0.4624 | 252  | 9.1118        | -               | -                       | -                        |
| 0.4642 | 253  | 9.3682        | -               | -                       | -                        |
| 0.4661 | 254  | 9.3647        | -               | -                       | -                        |
| 0.4679 | 255  | 9.8533        | -               | -                       | -                        |
| 0.4697 | 256  | 9.2787        | -               | -                       | -                        |
| 0.4716 | 257  | 8.9831        | -               | -                       | -                        |
| 0.4734 | 258  | 9.0524        | -               | -                       | -                        |
| 0.4752 | 259  | 9.5378        | -               | -                       | -                        |
| 0.4771 | 260  | 9.4227        | -               | -                       | -                        |
| 0.4789 | 261  | 9.3545        | -               | -                       | -                        |
| 0.4807 | 262  | 8.8428        | -               | -                       | -                        |
| 0.4826 | 263  | 9.1284        | -               | -                       | -                        |
| 0.4844 | 264  | 8.7769        | -               | -                       | -                        |
| 0.4862 | 265  | 9.0381        | -               | -                       | -                        |
| 0.4881 | 266  | 9.0261        | -               | -                       | -                        |
| 0.4899 | 267  | 8.811         | -               | -                       | -                        |
| 0.4917 | 268  | 9.0848        | -               | -                       | -                        |
| 0.4936 | 269  | 9.0951        | -               | -                       | -                        |
| 0.4954 | 270  | 9.0682        | -               | -                       | -                        |
| 0.4972 | 271  | 9.0418        | -               | -                       | -                        |
| 0.4991 | 272  | 9.7316        | -               | -                       | -                        |
| 0.5009 | 273  | 9.263         | -               | -                       | -                        |
| 0.5028 | 274  | 9.624         | -               | -                       | -                        |
| 0.5046 | 275  | 10.0133       | -               | -                       | -                        |
| 0.5064 | 276  | 9.0789        | -               | -                       | -                        |
| 0.5083 | 277  | 9.1399        | -               | -                       | -                        |
| 0.5101 | 278  | 9.3854        | -               | -                       | -                        |
| 0.5119 | 279  | 8.9982        | -               | -                       | -                        |
| 0.5138 | 280  | 9.1342        | -               | -                       | -                        |
| 0.5156 | 281  | 9.0517        | -               | -                       | -                        |
| 0.5174 | 282  | 9.5637        | -               | -                       | -                        |
| 0.5193 | 283  | 9.5213        | -               | -                       | -                        |
| 0.5211 | 284  | 9.9231        | -               | -                       | -                        |
| 0.5229 | 285  | 10.3441       | -               | -                       | -                        |
| 0.5248 | 286  | 9.6162        | -               | -                       | -                        |
| 0.5266 | 287  | 9.4794        | -               | -                       | -                        |
| 0.5284 | 288  | 9.2728        | -               | -                       | -                        |
| 0.5303 | 289  | 9.411         | -               | -                       | -                        |
| 0.5321 | 290  | 9.5806        | -               | -                       | -                        |
| 0.5339 | 291  | 9.4193        | -               | -                       | -                        |
| 0.5358 | 292  | 9.3528        | -               | -                       | -                        |
| 0.5376 | 293  | 9.7581        | -               | -                       | -                        |
| 0.5394 | 294  | 9.4407        | -               | -                       | -                        |
| 0.5413 | 295  | 9.027         | -               | -                       | -                        |
| 0.5431 | 296  | 9.4272        | -               | -                       | -                        |
| 0.5450 | 297  | 9.2733        | -               | -                       | -                        |
| 0.5468 | 298  | 9.3           | -               | -                       | -                        |
| 0.5486 | 299  | 9.6388        | -               | -                       | -                        |
| 0.5505 | 300  | 9.0698        | 6.8356          | 0.8273                  | -                        |
| 0.5523 | 301  | 9.4613        | -               | -                       | -                        |
| 0.5541 | 302  | 9.9061        | -               | -                       | -                        |
| 0.5560 | 303  | 9.3524        | -               | -                       | -                        |
| 0.5578 | 304  | 9.1935        | -               | -                       | -                        |
| 0.5596 | 305  | 9.1243        | -               | -                       | -                        |
| 0.5615 | 306  | 8.8865        | -               | -                       | -                        |
| 0.5633 | 307  | 9.4411        | -               | -                       | -                        |
| 0.5651 | 308  | 9.1322        | -               | -                       | -                        |
| 0.5670 | 309  | 9.3072        | -               | -                       | -                        |
| 0.5688 | 310  | 8.4299        | -               | -                       | -                        |
| 0.5706 | 311  | 8.9471        | -               | -                       | -                        |
| 0.5725 | 312  | 8.5097        | -               | -                       | -                        |
| 0.5743 | 313  | 9.1158        | -               | -                       | -                        |
| 0.5761 | 314  | 9.0221        | -               | -                       | -                        |
| 0.5780 | 315  | 9.5871        | -               | -                       | -                        |
| 0.5798 | 316  | 9.3789        | -               | -                       | -                        |
| 0.5817 | 317  | 9.1566        | -               | -                       | -                        |
| 0.5835 | 318  | 9.0472        | -               | -                       | -                        |
| 0.5853 | 319  | 8.947         | -               | -                       | -                        |
| 0.5872 | 320  | 9.1791        | -               | -                       | -                        |
| 0.5890 | 321  | 8.8764        | -               | -                       | -                        |
| 0.5908 | 322  | 8.9794        | -               | -                       | -                        |
| 0.5927 | 323  | 9.2044        | -               | -                       | -                        |
| 0.5945 | 324  | 9.0374        | -               | -                       | -                        |
| 0.5963 | 325  | 9.3389        | -               | -                       | -                        |
| 0.5982 | 326  | 9.7387        | -               | -                       | -                        |
| 0.6    | 327  | 9.4248        | -               | -                       | -                        |
| 0.6018 | 328  | 9.4799        | -               | -                       | -                        |
| 0.6037 | 329  | 8.9019        | -               | -                       | -                        |
| 0.6055 | 330  | 9.113         | -               | -                       | -                        |
| 0.6073 | 331  | 9.3148        | -               | -                       | -                        |
| 0.6092 | 332  | 8.9871        | -               | -                       | -                        |
| 0.6110 | 333  | 8.5404        | -               | -                       | -                        |
| 0.6128 | 334  | 9.1587        | -               | -                       | -                        |
| 0.6147 | 335  | 8.9698        | -               | -                       | -                        |
| 0.6165 | 336  | 9.3393        | -               | -                       | -                        |
| 0.6183 | 337  | 9.4845        | -               | -                       | -                        |
| 0.6202 | 338  | 9.6075        | -               | -                       | -                        |
| 0.6220 | 339  | 9.426         | -               | -                       | -                        |
| 0.6239 | 340  | 9.0633        | -               | -                       | -                        |
| 0.6257 | 341  | 9.1017        | -               | -                       | -                        |
| 0.6275 | 342  | 9.2461        | -               | -                       | -                        |
| 0.6294 | 343  | 9.065         | -               | -                       | -                        |
| 0.6312 | 344  | 9.4668        | -               | -                       | -                        |
| 0.6330 | 345  | 9.0267        | -               | -                       | -                        |
| 0.6349 | 346  | 9.2938        | -               | -                       | -                        |
| 0.6367 | 347  | 9.391         | -               | -                       | -                        |
| 0.6385 | 348  | 9.2386        | -               | -                       | -                        |
| 0.6404 | 349  | 9.5285        | -               | -                       | -                        |
| 0.6422 | 350  | 9.5958        | -               | -                       | -                        |
| 0.6440 | 351  | 9.157         | -               | -                       | -                        |
| 0.6459 | 352  | 9.4166        | -               | -                       | -                        |
| 0.6477 | 353  | 9.358         | -               | -                       | -                        |
| 0.6495 | 354  | 9.4497        | -               | -                       | -                        |
| 0.6514 | 355  | 9.407         | -               | -                       | -                        |
| 0.6532 | 356  | 9.1505        | -               | -                       | -                        |
| 0.6550 | 357  | 9.403         | -               | -                       | -                        |
| 0.6569 | 358  | 9.1949        | -               | -                       | -                        |
| 0.6587 | 359  | 8.7922        | -               | -                       | -                        |
| 0.6606 | 360  | 8.883         | -               | -                       | -                        |
| 0.6624 | 361  | 8.6828        | -               | -                       | -                        |
| 0.6642 | 362  | 8.5654        | -               | -                       | -                        |
| 0.6661 | 363  | 8.705         | -               | -                       | -                        |
| 0.6679 | 364  | 8.8329        | -               | -                       | -                        |
| 0.6697 | 365  | 9.1604        | -               | -                       | -                        |
| 0.6716 | 366  | 9.1609        | -               | -                       | -                        |
| 0.6734 | 367  | 9.4693        | -               | -                       | -                        |
| 0.6752 | 368  | 9.1431        | -               | -                       | -                        |
| 0.6771 | 369  | 8.7564        | -               | -                       | -                        |
| 0.6789 | 370  | 9.1378        | -               | -                       | -                        |
| 0.6807 | 371  | 8.8472        | -               | -                       | -                        |
| 0.6826 | 372  | 8.9159        | -               | -                       | -                        |
| 0.6844 | 373  | 8.9551        | -               | -                       | -                        |
| 0.6862 | 374  | 9.2721        | -               | -                       | -                        |
| 0.6881 | 375  | 8.7511        | -               | -                       | -                        |
| 0.6899 | 376  | 9.1683        | -               | -                       | -                        |
| 0.6917 | 377  | 8.8438        | -               | -                       | -                        |
| 0.6936 | 378  | 8.6151        | -               | -                       | -                        |
| 0.6954 | 379  | 8.7015        | -               | -                       | -                        |
| 0.6972 | 380  | 7.6009        | -               | -                       | -                        |
| 0.6991 | 381  | 7.3242        | -               | -                       | -                        |
| 0.7009 | 382  | 7.4182        | -               | -                       | -                        |
| 0.7028 | 383  | 7.2576        | -               | -                       | -                        |
| 0.7046 | 384  | 7.0578        | -               | -                       | -                        |
| 0.7064 | 385  | 6.0212        | -               | -                       | -                        |
| 0.7083 | 386  | 5.9868        | -               | -                       | -                        |
| 0.7101 | 387  | 6.033         | -               | -                       | -                        |
| 0.7119 | 388  | 5.8085        | -               | -                       | -                        |
| 0.7138 | 389  | 5.6002        | -               | -                       | -                        |
| 0.7156 | 390  | 5.439         | -               | -                       | -                        |
| 0.7174 | 391  | 5.1661        | -               | -                       | -                        |
| 0.7193 | 392  | 5.1261        | -               | -                       | -                        |
| 0.7211 | 393  | 5.5393        | -               | -                       | -                        |
| 0.7229 | 394  | 4.8909        | -               | -                       | -                        |
| 0.7248 | 395  | 5.2803        | -               | -                       | -                        |
| 0.7266 | 396  | 5.1639        | -               | -                       | -                        |
| 0.7284 | 397  | 4.7125        | -               | -                       | -                        |
| 0.7303 | 398  | 4.842         | -               | -                       | -                        |
| 0.7321 | 399  | 5.0971        | -               | -                       | -                        |
| 0.7339 | 400  | 4.5101        | 5.0650          | 0.8590                  | -                        |
| 0.7358 | 401  | 4.3422        | -               | -                       | -                        |
| 0.7376 | 402  | 4.719         | -               | -                       | -                        |
| 0.7394 | 403  | 4.1823        | -               | -                       | -                        |
| 0.7413 | 404  | 3.7903        | -               | -                       | -                        |
| 0.7431 | 405  | 3.886         | -               | -                       | -                        |
| 0.7450 | 406  | 4.1115        | -               | -                       | -                        |
| 0.7468 | 407  | 3.9201        | -               | -                       | -                        |
| 0.7486 | 408  | 3.9291        | -               | -                       | -                        |
| 0.7505 | 409  | 4.0412        | -               | -                       | -                        |
| 0.7523 | 410  | 3.6614        | -               | -                       | -                        |
| 0.7541 | 411  | 3.5718        | -               | -                       | -                        |
| 0.7560 | 412  | 3.6689        | -               | -                       | -                        |
| 0.7578 | 413  | 3.7457        | -               | -                       | -                        |
| 0.7596 | 414  | 3.4272        | -               | -                       | -                        |
| 0.7615 | 415  | 3.5112        | -               | -                       | -                        |
| 0.7633 | 416  | 3.8348        | -               | -                       | -                        |
| 0.7651 | 417  | 3.5177        | -               | -                       | -                        |
| 0.7670 | 418  | 3.3441        | -               | -                       | -                        |
| 0.7688 | 419  | 3.362         | -               | -                       | -                        |
| 0.7706 | 420  | 3.4926        | -               | -                       | -                        |
| 0.7725 | 421  | 3.4722        | -               | -                       | -                        |
| 0.7743 | 422  | 2.8568        | -               | -                       | -                        |
| 0.7761 | 423  | 3.3396        | -               | -                       | -                        |
| 0.7780 | 424  | 2.972         | -               | -                       | -                        |
| 0.7798 | 425  | 3.6889        | -               | -                       | -                        |
| 0.7817 | 426  | 3.5154        | -               | -                       | -                        |
| 0.7835 | 427  | 3.4098        | -               | -                       | -                        |
| 0.7853 | 428  | 3.4569        | -               | -                       | -                        |
| 0.7872 | 429  | 3.4916        | -               | -                       | -                        |
| 0.7890 | 430  | 3.7394        | -               | -                       | -                        |
| 0.7908 | 431  | 3.332         | -               | -                       | -                        |
| 0.7927 | 432  | 3.3767        | -               | -                       | -                        |
| 0.7945 | 433  | 3.1173        | -               | -                       | -                        |
| 0.7963 | 434  | 3.2257        | -               | -                       | -                        |
| 0.7982 | 435  | 3.3629        | -               | -                       | -                        |
| 0.8    | 436  | 3.1992        | -               | -                       | -                        |
| 0.8018 | 437  | 3.1252        | -               | -                       | -                        |
| 0.8037 | 438  | 3.5155        | -               | -                       | -                        |
| 0.8055 | 439  | 3.2583        | -               | -                       | -                        |
| 0.8073 | 440  | 2.9001        | -               | -                       | -                        |
| 0.8092 | 441  | 3.1542        | -               | -                       | -                        |
| 0.8110 | 442  | 3.0473        | -               | -                       | -                        |
| 0.8128 | 443  | 3.0446        | -               | -                       | -                        |
| 0.8147 | 444  | 3.3807        | -               | -                       | -                        |
| 0.8165 | 445  | 3.1246        | -               | -                       | -                        |
| 0.8183 | 446  | 3.1922        | -               | -                       | -                        |
| 0.8202 | 447  | 3.09          | -               | -                       | -                        |
| 0.8220 | 448  | 3.4341        | -               | -                       | -                        |
| 0.8239 | 449  | 3.0926        | -               | -                       | -                        |
| 0.8257 | 450  | 2.9746        | -               | -                       | -                        |
| 0.8275 | 451  | 3.1014        | -               | -                       | -                        |
| 0.8294 | 452  | 3.2205        | -               | -                       | -                        |
| 0.8312 | 453  | 3.1147        | -               | -                       | -                        |
| 0.8330 | 454  | 2.9682        | -               | -                       | -                        |
| 0.8349 | 455  | 3.1681        | -               | -                       | -                        |
| 0.8367 | 456  | 2.9821        | -               | -                       | -                        |
| 0.8385 | 457  | 2.8484        | -               | -                       | -                        |
| 0.8404 | 458  | 3.0341        | -               | -                       | -                        |
| 0.8422 | 459  | 3.0632        | -               | -                       | -                        |
| 0.8440 | 460  | 3.2026        | -               | -                       | -                        |
| 0.8459 | 461  | 3.132         | -               | -                       | -                        |
| 0.8477 | 462  | 3.0209        | -               | -                       | -                        |
| 0.8495 | 463  | 2.7183        | -               | -                       | -                        |
| 0.8514 | 464  | 3.0257        | -               | -                       | -                        |
| 0.8532 | 465  | 3.1462        | -               | -                       | -                        |
| 0.8550 | 466  | 2.8747        | -               | -                       | -                        |
| 0.8569 | 467  | 3.0932        | -               | -                       | -                        |
| 0.8587 | 468  | 3.0097        | -               | -                       | -                        |
| 0.8606 | 469  | 3.0956        | -               | -                       | -                        |
| 0.8624 | 470  | 3.019         | -               | -                       | -                        |
| 0.8642 | 471  | 3.1342        | -               | -                       | -                        |
| 0.8661 | 472  | 2.688         | -               | -                       | -                        |
| 0.8679 | 473  | 2.8892        | -               | -                       | -                        |
| 0.8697 | 474  | 3.1589        | -               | -                       | -                        |
| 0.8716 | 475  | 2.9274        | -               | -                       | -                        |
| 0.8734 | 476  | 2.8554        | -               | -                       | -                        |
| 0.8752 | 477  | 2.694         | -               | -                       | -                        |
| 0.8771 | 478  | 2.7397        | -               | -                       | -                        |
| 0.8789 | 479  | 2.6452        | -               | -                       | -                        |
| 0.8807 | 480  | 3.0158        | -               | -                       | -                        |
| 0.8826 | 481  | 3.0148        | -               | -                       | -                        |
| 0.8844 | 482  | 2.5704        | -               | -                       | -                        |
| 0.8862 | 483  | 2.6755        | -               | -                       | -                        |
| 0.8881 | 484  | 2.7805        | -               | -                       | -                        |
| 0.8899 | 485  | 2.8554        | -               | -                       | -                        |
| 0.8917 | 486  | 2.6966        | -               | -                       | -                        |
| 0.8936 | 487  | 2.8759        | -               | -                       | -                        |
| 0.8954 | 488  | 2.8838        | -               | -                       | -                        |
| 0.8972 | 489  | 2.7885        | -               | -                       | -                        |
| 0.8991 | 490  | 2.7576        | -               | -                       | -                        |
| 0.9009 | 491  | 2.9139        | -               | -                       | -                        |
| 0.9028 | 492  | 2.6583        | -               | -                       | -                        |
| 0.9046 | 493  | 2.9654        | -               | -                       | -                        |
| 0.9064 | 494  | 2.551         | -               | -                       | -                        |
| 0.9083 | 495  | 2.5596        | -               | -                       | -                        |
| 0.9101 | 496  | 2.9595        | -               | -                       | -                        |
| 0.9119 | 497  | 2.8677        | -               | -                       | -                        |
| 0.9138 | 498  | 2.5793        | -               | -                       | -                        |
| 0.9156 | 499  | 2.5415        | -               | -                       | -                        |
| 0.9174 | 500  | 2.9738        | 4.8764          | 0.8651                  | -                        |
| 0.9193 | 501  | 2.5838        | -               | -                       | -                        |
| 0.9211 | 502  | 2.6544        | -               | -                       | -                        |
| 0.9229 | 503  | 2.7046        | -               | -                       | -                        |
| 0.9248 | 504  | 2.6339        | -               | -                       | -                        |
| 0.9266 | 505  | 2.687         | -               | -                       | -                        |
| 0.9284 | 506  | 2.7863        | -               | -                       | -                        |
| 0.9303 | 507  | 2.7409        | -               | -                       | -                        |
| 0.9321 | 508  | 2.656         | -               | -                       | -                        |
| 0.9339 | 509  | 2.7456        | -               | -                       | -                        |
| 0.9358 | 510  | 2.6589        | -               | -                       | -                        |
| 0.9376 | 511  | 2.697         | -               | -                       | -                        |
| 0.9394 | 512  | 2.6443        | -               | -                       | -                        |
| 0.9413 | 513  | 2.7357        | -               | -                       | -                        |
| 0.9431 | 514  | 2.969         | -               | -                       | -                        |
| 0.9450 | 515  | 2.4175        | -               | -                       | -                        |
| 0.9468 | 516  | 2.5424        | -               | -                       | -                        |
| 0.9486 | 517  | 2.4773        | -               | -                       | -                        |
| 0.9505 | 518  | 2.6269        | -               | -                       | -                        |
| 0.9523 | 519  | 2.6288        | -               | -                       | -                        |
| 0.9541 | 520  | 2.9471        | -               | -                       | -                        |
| 0.9560 | 521  | 2.9775        | -               | -                       | -                        |
| 0.9578 | 522  | 2.9949        | -               | -                       | -                        |
| 0.9596 | 523  | 2.7084        | -               | -                       | -                        |
| 0.9615 | 524  | 2.6431        | -               | -                       | -                        |
| 0.9633 | 525  | 2.5849        | -               | -                       | -                        |
| 0.9651 | 526  | 7.353         | -               | -                       | -                        |
| 0.9670 | 527  | 9.1463        | -               | -                       | -                        |
| 0.9688 | 528  | 10.9846       | -               | -                       | -                        |
| 0.9706 | 529  | 10.6362       | -               | -                       | -                        |
| 0.9725 | 530  | 10.0763       | -               | -                       | -                        |
| 0.9743 | 531  | 9.7147        | -               | -                       | -                        |
| 0.9761 | 532  | 9.3911        | -               | -                       | -                        |
| 0.9780 | 533  | 9.3722        | -               | -                       | -                        |
| 0.9798 | 534  | 10.794        | -               | -                       | -                        |
| 0.9817 | 535  | 11.661        | -               | -                       | -                        |
| 0.9835 | 536  | 11.4706       | -               | -                       | -                        |
| 0.9853 | 537  | 12.0868       | -               | -                       | -                        |
| 0.9872 | 538  | 12.0017       | -               | -                       | -                        |
| 0.9890 | 539  | 11.7965       | -               | -                       | -                        |
| 0.9908 | 540  | 12.5961       | -               | -                       | -                        |
| 0.9927 | 541  | 9.6563        | -               | -                       | -                        |
| 0.9945 | 542  | 11.5097       | -               | -                       | -                        |
| 0.9963 | 543  | 12.0945       | -               | -                       | -                        |
| 0.9982 | 544  | 10.7032       | -               | -                       | -                        |
| 1.0    | 545  | 10.5622       | -               | -                       | 0.8505                   |

</details>

### Framework Versions
- Python: 3.10.12
- Sentence Transformers: 3.3.1
- Transformers: 4.48.0.dev0
- PyTorch: 2.1.0+cu118
- Accelerate: 1.2.1
- Datasets: 3.2.0
- Tokenizers: 0.21.0

## Citation

### BibTeX

#### Sentence Transformers
```bibtex
@inproceedings{reimers-2019-sentence-bert,
    title = "Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks",
    author = "Reimers, Nils and Gurevych, Iryna",
    booktitle = "Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing",
    month = "11",
    year = "2019",
    publisher = "Association for Computational Linguistics",
    url = "https://arxiv.org/abs/1908.10084",
}
```

#### MatryoshkaLoss
```bibtex
@misc{kusupati2024matryoshka,
    title={Matryoshka Representation Learning},
    author={Aditya Kusupati and Gantavya Bhatt and Aniket Rege and Matthew Wallingford and Aditya Sinha and Vivek Ramanujan and William Howard-Snyder and Kaifeng Chen and Sham Kakade and Prateek Jain and Ali Farhadi},
    year={2024},
    eprint={2205.13147},
    archivePrefix={arXiv},
    primaryClass={cs.LG}
}
```

#### MultipleNegativesRankingLoss
```bibtex
@misc{henderson2017efficient,
    title={Efficient Natural Language Response Suggestion for Smart Reply},
    author={Matthew Henderson and Rami Al-Rfou and Brian Strope and Yun-hsuan Sung and Laszlo Lukacs and Ruiqi Guo and Sanjiv Kumar and Balint Miklos and Ray Kurzweil},
    year={2017},
    eprint={1705.00652},
    archivePrefix={arXiv},
    primaryClass={cs.CL}
}
```

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