SentenceTransformer based on google-bert/bert-base-uncased

This is a sentence-transformers model finetuned from google-bert/bert-base-uncased on the 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: google-bert/bert-base-uncased
  • Maximum Sequence Length: 512 tokens
  • Output Dimensionality: 768 dimensions
  • Similarity Function: Cosine Similarity
  • Training Dataset:
  • Language: en

Model Sources

Full Model Architecture

SentenceTransformer(
  (0): Transformer({'max_seq_length': 512, 'do_lower_case': False, 'architecture': 'BertModel'})
  (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:

pip install -U sentence-transformers

Then you can load this model and run inference.

from sentence_transformers import SentenceTransformer

# Download from the 🤗 Hub
model = SentenceTransformer("sentence_transformers_model_id")
# Run inference
sentences = [
    'A construction worker peeking out of a manhole while his coworker sits on the sidewalk smiling.',
    'A worker is looking out of a manhole.',
    'The workers are both inside the manhole.',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 768]

# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities)
# tensor([[1.0000, 0.6457, 0.1356],
#         [0.6457, 1.0000, 0.2649],
#         [0.1356, 0.2649, 1.0000]])

Evaluation

Metrics

Semantic Similarity

Metric sts-dev sts-test
pearson_cosine 0.8177 0.793
spearman_cosine 0.8188 0.7965

Training Details

Training Dataset

all-nli

  • Dataset: all-nli at d482672
  • Size: 557,850 training samples
  • Columns: anchor, positive, and negative
  • Approximate statistics based on the first 1000 samples:
    anchor positive negative
    type string string string
    details
    • min: 7 tokens
    • mean: 10.46 tokens
    • max: 46 tokens
    • min: 6 tokens
    • mean: 12.81 tokens
    • max: 40 tokens
    • min: 5 tokens
    • mean: 13.4 tokens
    • max: 50 tokens
  • Samples:
    anchor positive negative
    A person on a horse jumps over a broken down airplane. A person is outdoors, on a horse. A person is at a diner, ordering an omelette.
    Children smiling and waving at camera There are children present The kids are frowning
    A boy is jumping on skateboard in the middle of a red bridge. The boy does a skateboarding trick. The boy skates down the sidewalk.
  • Loss: MatryoshkaLoss with these parameters:
    {
        "loss": "MultipleNegativesRankingLoss",
        "matryoshka_dims": [
            768,
            512,
            256,
            128
        ],
        "matryoshka_weights": [
            1,
            1,
            1,
            1
        ],
        "n_dims_per_step": -1
    }
    

Evaluation Dataset

all-nli

  • Dataset: all-nli at d482672
  • Size: 6,584 evaluation samples
  • Columns: anchor, positive, and negative
  • Approximate statistics based on the first 1000 samples:
    anchor positive negative
    type string string string
    details
    • min: 6 tokens
    • mean: 17.95 tokens
    • max: 63 tokens
    • min: 4 tokens
    • mean: 9.78 tokens
    • max: 29 tokens
    • min: 5 tokens
    • mean: 10.35 tokens
    • max: 29 tokens
  • Samples:
    anchor positive negative
    Two women are embracing while holding to go packages. Two woman are holding packages. The men are fighting outside a deli.
    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. Two kids in numbered jerseys wash their hands. Two kids in jackets walk to school.
    A man selling donuts to a customer during a world exhibition event held in the city of Angeles A man selling donuts to a customer. A woman drinks her coffee in a small cafe.
  • Loss: MatryoshkaLoss with these parameters:
    {
        "loss": "MultipleNegativesRankingLoss",
        "matryoshka_dims": [
            768,
            512,
            256,
            128
        ],
        "matryoshka_weights": [
            1,
            1,
            1,
            1
        ],
        "n_dims_per_step": -1
    }
    

Training Hyperparameters

Non-Default Hyperparameters

  • eval_strategy: steps
  • per_device_train_batch_size: 16
  • per_device_eval_batch_size: 16
  • num_train_epochs: 5
  • warmup_ratio: 0.1
  • fp16: True

All Hyperparameters

Click to expand
  • overwrite_output_dir: False
  • do_predict: False
  • eval_strategy: steps
  • prediction_loss_only: True
  • per_device_train_batch_size: 16
  • per_device_eval_batch_size: 16
  • 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: 5
  • 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
  • bf16: False
  • fp16: True
  • 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}
  • parallelism_config: None
  • deepspeed: None
  • label_smoothing_factor: 0.0
  • optim: adamw_torch_fused
  • optim_args: None
  • adafactor: False
  • group_by_length: False
  • length_column_name: length
  • project: huggingface
  • trackio_space_id: trackio
  • 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
  • hub_revision: None
  • 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
  • include_tokens_per_second: False
  • include_num_input_tokens_seen: no
  • neftune_noise_alpha: None
  • optim_target_modules: None
  • batch_eval_metrics: False
  • eval_on_start: False
  • use_liger_kernel: False
  • liger_kernel_config: None
  • eval_use_gather_object: False
  • average_tokens_across_devices: True
  • prompts: None
  • batch_sampler: batch_sampler
  • multi_dataset_batch_sampler: proportional
  • router_mapping: {}
  • learning_rate_mapping: {}

Training Logs

Click to expand
Epoch Step Training Loss Validation Loss sts-dev_spearman_cosine sts-test_spearman_cosine
-1 -1 - - 0.5931 -
0.0029 100 8.7348 5.7611 0.6142 -
0.0057 200 8.1854 4.8268 0.6798 -
0.0086 300 6.2359 3.6486 0.7609 -
0.0115 400 4.5997 2.9608 0.7935 -
0.0143 500 3.8582 2.6669 0.8039 -
0.0172 600 3.4914 2.4884 0.8099 -
0.0201 700 3.1184 2.3471 0.8141 -
0.0229 800 3.1714 2.2095 0.8180 -
0.0258 900 3.1396 2.0758 0.8207 -
0.0287 1000 2.7186 1.9742 0.8233 -
0.0315 1100 2.8151 1.8615 0.8242 -
0.0344 1200 2.5506 1.7586 0.8261 -
0.0373 1300 2.7072 1.6880 0.8287 -
0.0402 1400 2.4229 1.6299 0.8289 -
0.0430 1500 2.2522 1.5959 0.8314 -
0.0459 1600 2.3755 1.5462 0.8343 -
0.0488 1700 2.0956 1.5280 0.8318 -
0.0516 1800 2.2212 1.4786 0.8319 -
0.0545 1900 2.3425 1.4454 0.8311 -
0.0574 2000 1.9474 1.4305 0.8305 -
0.0602 2100 2.0707 1.4150 0.8334 -
0.0631 2200 1.9839 1.3794 0.8335 -
0.0660 2300 2.0811 1.3449 0.8325 -
0.0688 2400 1.8551 1.3308 0.8342 -
0.0717 2500 2.0905 1.3162 0.8365 -
0.0746 2600 2.0011 1.3206 0.8360 -
0.0774 2700 1.9253 1.2619 0.8389 -
0.0803 2800 2.0329 1.2412 0.8356 -
0.0832 2900 1.8733 1.2466 0.8380 -
0.0860 3000 1.8727 1.2361 0.8356 -
0.0889 3100 1.8873 1.2287 0.8339 -
0.0918 3200 1.6856 1.2066 0.8345 -
0.0946 3300 1.9318 1.1863 0.8368 -
0.0975 3400 1.7349 1.1563 0.8373 -
0.1004 3500 1.7844 1.1676 0.8377 -
0.1033 3600 1.9462 1.1657 0.8372 -
0.1061 3700 1.7901 1.1549 0.8335 -
0.1090 3800 1.7568 1.1516 0.8357 -
0.1119 3900 1.7215 1.1333 0.8382 -
0.1147 4000 1.6737 1.1275 0.8343 -
0.1176 4100 1.6571 1.1294 0.8385 -
0.1205 4200 1.6899 1.1214 0.8365 -
0.1233 4300 1.7203 1.0832 0.8376 -
0.1262 4400 1.7742 1.0893 0.8345 -
0.1291 4500 1.4745 1.0656 0.8367 -
0.1319 4600 1.5975 1.0762 0.8348 -
0.1348 4700 1.6058 1.0833 0.8335 -
0.1377 4800 1.4312 1.0661 0.8372 -
0.1405 4900 1.5773 1.0430 0.8363 -
0.1434 5000 1.5056 1.0421 0.8322 -
0.1463 5100 1.5484 1.0659 0.8305 -
0.1491 5200 1.6143 1.0130 0.8389 -
0.1520 5300 1.5103 1.0204 0.8415 -
0.1549 5400 1.4742 1.0218 0.8378 -
0.1577 5500 1.7935 1.0141 0.8450 -
0.1606 5600 1.5722 1.0134 0.8343 -
0.1635 5700 1.4436 1.0016 0.8435 -
0.1664 5800 1.6854 0.9917 0.8398 -
0.1692 5900 1.5159 1.0294 0.8308 -
0.1721 6000 1.3993 1.0211 0.8387 -
0.1750 6100 1.4021 0.9957 0.8430 -
0.1778 6200 1.5673 0.9880 0.8381 -
0.1807 6300 1.2849 1.0067 0.8387 -
0.1836 6400 1.5855 0.9920 0.8346 -
0.1864 6500 1.4131 0.9890 0.8362 -
0.1893 6600 1.4261 0.9829 0.8318 -
0.1922 6700 1.627 0.9766 0.8341 -
0.1950 6800 1.4526 0.9849 0.8416 -
0.1979 6900 1.4136 1.0048 0.8345 -
0.2008 7000 1.5026 0.9567 0.8326 -
0.2036 7100 1.3597 0.9709 0.8269 -
0.2065 7200 1.388 1.0066 0.8282 -
0.2094 7300 1.4178 0.9624 0.8369 -
0.2122 7400 1.4304 0.9661 0.8321 -
0.2151 7500 1.4072 0.9517 0.8317 -
0.2180 7600 1.2968 1.0005 0.8316 -
0.2208 7700 1.6203 0.9581 0.8399 -
0.2237 7800 1.4057 0.9783 0.8339 -
0.2266 7900 1.5063 0.9566 0.8306 -
0.2294 8000 1.2327 0.9752 0.8290 -
0.2323 8100 1.4765 0.9619 0.8332 -
0.2352 8200 1.3242 0.9772 0.8383 -
0.2381 8300 1.3657 0.9561 0.8380 -
0.2409 8400 1.3552 0.9674 0.8305 -
0.2438 8500 1.2888 0.9937 0.8247 -
0.2467 8600 1.4021 0.9560 0.8289 -
0.2495 8700 1.3836 0.9735 0.8367 -
0.2524 8800 1.452 0.9804 0.8346 -
0.2553 8900 1.4159 0.9419 0.8393 -
0.2581 9000 1.2448 0.9661 0.8430 -
0.2610 9100 1.2965 0.9761 0.8386 -
0.2639 9200 1.4896 0.9499 0.8358 -
0.2667 9300 1.3372 0.9563 0.8406 -
0.2696 9400 1.4867 0.9610 0.8378 -
0.2725 9500 1.4572 1.0053 0.8356 -
0.2753 9600 1.2815 0.9905 0.8440 -
0.2782 9700 1.2638 1.0190 0.8413 -
0.2811 9800 1.3183 0.9929 0.8348 -
0.2839 9900 1.3715 1.0005 0.8354 -
0.2868 10000 1.3356 0.9677 0.8331 -
0.2897 10100 1.3566 0.9873 0.8280 -
0.2925 10200 1.3007 0.9530 0.8377 -
0.2954 10300 1.384 0.9960 0.8330 -
0.2983 10400 1.3925 0.9464 0.8375 -
0.3012 10500 1.1556 0.9543 0.8345 -
0.3040 10600 1.2287 0.9779 0.8326 -
0.3069 10700 1.3591 0.9614 0.8342 -
0.3098 10800 1.3842 0.9772 0.8358 -
0.3126 10900 1.3842 1.0355 0.8348 -
0.3155 11000 1.1536 0.9944 0.8351 -
0.3184 11100 1.3614 0.9911 0.8235 -
0.3212 11200 1.341 0.9650 0.8250 -
0.3241 11300 1.3629 0.9632 0.8354 -
0.3270 11400 1.3137 0.9745 0.8190 -
0.3298 11500 1.2692 0.9612 0.8300 -
0.3327 11600 1.3598 0.9521 0.8339 -
0.3356 11700 1.2724 0.9865 0.8308 -
0.3384 11800 1.4818 0.9892 0.8437 -
0.3413 11900 1.228 1.0159 0.8344 -
0.3442 12000 1.3967 0.9571 0.8369 -
0.3470 12100 1.3116 0.9666 0.8322 -
0.3499 12200 1.3725 0.9193 0.8422 -
0.3528 12300 1.3872 0.9328 0.8406 -
0.3556 12400 1.3482 1.0073 0.8292 -
0.3585 12500 1.4253 0.9571 0.8273 -
0.3614 12600 1.2713 0.9256 0.8324 -
0.3643 12700 1.4049 0.9648 0.8331 -
0.3671 12800 1.454 0.9971 0.8373 -
0.3700 12900 1.3805 0.9956 0.8308 -
0.3729 13000 1.2941 0.9573 0.8290 -
0.3757 13100 1.389 0.9948 0.8271 -
0.3786 13200 1.3231 1.0016 0.8323 -
0.3815 13300 1.484 0.9877 0.8260 -
0.3843 13400 1.3764 0.9948 0.8232 -
0.3872 13500 1.3531 0.9899 0.8260 -
0.3901 13600 1.3626 1.0002 0.8326 -
0.3929 13700 1.3346 0.9959 0.8421 -
0.3958 13800 1.3227 0.9889 0.8389 -
0.3987 13900 1.0623 0.9792 0.8380 -
0.4015 14000 1.258 1.0159 0.8231 -
0.4044 14100 1.2187 1.0001 0.8270 -
0.4073 14200 1.2658 1.0457 0.8296 -
0.4101 14300 1.4991 1.0421 0.8225 -
0.4130 14400 1.4551 0.9841 0.8293 -
0.4159 14500 1.2818 1.0168 0.8335 -
0.4187 14600 1.1906 1.0227 0.8373 -
0.4216 14700 1.1699 1.0209 0.8356 -
0.4245 14800 1.1618 1.0578 0.8289 -
0.4274 14900 1.2874 1.1065 0.8113 -
0.4302 15000 1.3954 1.0485 0.8246 -
0.4331 15100 1.3518 1.0581 0.8314 -
0.4360 15200 1.2648 1.0863 0.8301 -
0.4388 15300 1.3408 1.0481 0.8262 -
0.4417 15400 1.3745 1.0269 0.8300 -
0.4446 15500 1.3274 1.0375 0.8195 -
0.4474 15600 1.2695 1.0522 0.8190 -
0.4503 15700 1.2483 1.0237 0.8284 -
0.4532 15800 1.1733 1.0385 0.8315 -
0.4560 15900 1.1655 1.0429 0.8248 -
0.4589 16000 1.1894 1.0163 0.8264 -
0.4618 16100 1.345 1.0655 0.8195 -
0.4646 16200 1.5014 1.0326 0.8334 -
0.4675 16300 1.2911 1.0673 0.8265 -
0.4704 16400 1.2919 1.0550 0.8262 -
0.4732 16500 1.4291 1.0681 0.8299 -
0.4761 16600 1.2861 1.0408 0.8306 -
0.4790 16700 1.3671 1.0483 0.8266 -
0.4818 16800 1.3426 1.0214 0.8214 -
0.4847 16900 1.3282 1.0321 0.8209 -
0.4876 17000 1.2094 1.0578 0.8263 -
0.4904 17100 1.295 1.1166 0.8032 -
0.4933 17200 1.4292 1.0355 0.8127 -
0.4962 17300 1.3451 1.0276 0.8140 -
0.4991 17400 1.2089 1.1149 0.8143 -
0.5019 17500 1.4297 1.0895 0.8203 -
0.5048 17600 1.3945 1.0507 0.8267 -
0.5077 17700 1.3473 1.0606 0.8335 -
0.5105 17800 1.2312 1.1037 0.8252 -
0.5134 17900 1.3484 1.0622 0.8202 -
0.5163 18000 1.36 1.0514 0.8206 -
0.5191 18100 1.2448 1.0776 0.8296 -
0.5220 18200 1.2954 1.0885 0.8149 -
0.5249 18300 1.3463 1.0598 0.8170 -
0.5277 18400 1.3153 1.0510 0.8292 -
0.5306 18500 1.4062 1.0510 0.8294 -
0.5335 18600 1.3978 1.0890 0.8257 -
0.5363 18700 1.2895 1.1021 0.8162 -
0.5392 18800 1.199 1.0580 0.8270 -
0.5421 18900 1.1028 1.0497 0.8242 -
0.5449 19000 1.1285 1.1012 0.8219 -
0.5478 19100 1.3044 1.0894 0.8180 -
0.5507 19200 1.2351 1.0658 0.8205 -
0.5535 19300 1.3528 1.0234 0.8266 -
0.5564 19400 1.3065 1.0213 0.8293 -
0.5593 19500 1.2376 1.0347 0.8247 -
0.5622 19600 1.2244 1.0669 0.8246 -
0.5650 19700 1.2005 1.0594 0.8353 -
0.5679 19800 1.3831 0.9981 0.8394 -
0.5708 19900 1.1195 1.0038 0.8349 -
0.5736 20000 1.1088 1.0491 0.8239 -
0.5765 20100 1.2902 1.0324 0.8255 -
0.5794 20200 1.3086 1.0162 0.8318 -
0.5822 20300 1.265 1.0183 0.8236 -
0.5851 20400 1.2044 1.0093 0.8327 -
0.5880 20500 1.1063 1.0433 0.8327 -
0.5908 20600 1.1916 1.0404 0.8274 -
0.5937 20700 1.208 1.0275 0.8229 -
0.5966 20800 1.2231 1.0328 0.8331 -
0.5994 20900 1.2923 1.0200 0.8296 -
0.6023 21000 1.1736 1.0401 0.8273 -
0.6052 21100 1.1962 1.0366 0.8322 -
0.6080 21200 1.184 1.0942 0.8256 -
0.6109 21300 1.3323 1.0129 0.8336 -
0.6138 21400 1.1115 1.0407 0.8292 -
0.6166 21500 1.0893 1.0335 0.8332 -
0.6195 21600 1.2345 1.0383 0.8361 -
0.6224 21700 1.3075 1.0676 0.8307 -
0.6253 21800 1.1635 1.0907 0.8297 -
0.6281 21900 1.1736 1.0755 0.8304 -
0.6310 22000 1.158 1.0181 0.8252 -
0.6339 22100 1.2824 1.0117 0.8212 -
0.6367 22200 1.2628 0.9956 0.8294 -
0.6396 22300 1.2574 0.9871 0.8280 -
0.6425 22400 1.1681 1.0361 0.8266 -
0.6453 22500 1.1436 1.0546 0.8286 -
0.6482 22600 1.2629 1.0592 0.8253 -
0.6511 22700 1.1807 1.0260 0.8227 -
0.6539 22800 1.131 1.0271 0.8280 -
0.6568 22900 1.168 1.0061 0.8205 -
0.6597 23000 1.0291 0.9932 0.8247 -
0.6625 23100 1.3103 0.9969 0.8276 -
0.6654 23200 1.2608 1.0362 0.8285 -
0.6683 23300 1.2265 1.0577 0.8197 -
0.6711 23400 0.9849 1.0351 0.8226 -
0.6740 23500 1.1232 1.0656 0.8126 -
0.6769 23600 1.2157 1.0501 0.8319 -
0.6797 23700 0.9503 1.0766 0.8243 -
0.6826 23800 1.2268 1.0501 0.8247 -
0.6855 23900 1.1518 1.0220 0.8220 -
0.6883 24000 1.0292 1.0341 0.8202 -
0.6912 24100 1.1748 1.0320 0.8192 -
0.6941 24200 1.2053 1.0610 0.8123 -
0.6970 24300 1.1948 1.0340 0.8133 -
0.6998 24400 1.2637 1.0012 0.8234 -
0.7027 24500 1.1706 1.0787 0.8055 -
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4.9963 174200 0.1349 0.8539 0.8188 -
4.9991 174300 0.1634 0.8539 0.8188 -
-1 -1 - - - 0.7965

Framework Versions

  • Python: 3.13.0
  • Sentence Transformers: 5.1.2
  • Transformers: 4.57.1
  • PyTorch: 2.9.1+cu128
  • Accelerate: 1.11.0
  • Datasets: 4.4.1
  • Tokenizers: 0.22.1

Citation

BibTeX

Sentence Transformers

@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

@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

@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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