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, 0.6197, 0.2750],
#         [0.6197, 1.0000, 0.4417],
#         [0.2750, 0.4417, 1.0000]])

Evaluation

Metrics

Semantic Similarity

Metric sts-dev sts-test
pearson_cosine 0.8155 0.7897
spearman_cosine 0.8199 0.7971

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,
            64
        ],
        "matryoshka_weights": [
            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,
            64
        ],
        "matryoshka_weights": [
            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 4.5786 3.0436 0.6114 -
0.0057 200 4.3076 2.5948 0.6696 -
0.0086 300 3.3616 2.0170 0.7492 -
0.0115 400 2.5396 1.6344 0.7876 -
0.0143 500 2.1291 1.4586 0.7997 -
0.0172 600 1.9095 1.3504 0.8062 -
0.0201 700 1.6818 1.2709 0.8108 -
0.0229 800 1.6825 1.1991 0.8150 -
0.0258 900 1.6764 1.1342 0.8178 -
0.0287 1000 1.4787 1.0798 0.8213 -
0.0315 1100 1.5056 1.0149 0.8227 -
0.0344 1200 1.3607 0.9581 0.8248 -
0.0373 1300 1.4247 0.9132 0.8280 -
0.0402 1400 1.2938 0.8835 0.8279 -
0.0430 1500 1.2199 0.8676 0.8307 -
0.0459 1600 1.2616 0.8356 0.8328 -
0.0488 1700 1.1192 0.8238 0.8307 -
0.0516 1800 1.1955 0.8008 0.8299 -
0.0545 1900 1.2632 0.7800 0.8310 -
0.0574 2000 1.0363 0.7714 0.8290 -
0.0602 2100 1.092 0.7676 0.8311 -
0.0631 2200 1.0639 0.7436 0.8325 -
0.0660 2300 1.0843 0.7310 0.8322 -
0.0688 2400 0.9849 0.7190 0.8330 -
0.0717 2500 1.1032 0.7132 0.8350 -
0.0746 2600 1.0612 0.7104 0.8354 -
0.0774 2700 1.0254 0.6768 0.8405 -
0.0803 2800 1.0838 0.6702 0.8361 -
0.0832 2900 0.9763 0.6714 0.8390 -
0.0860 3000 0.9815 0.6659 0.8365 -
0.0889 3100 1.0009 0.6673 0.8337 -
0.0918 3200 0.9057 0.6476 0.8349 -
0.0946 3300 0.9932 0.6379 0.8377 -
0.0975 3400 0.9271 0.6264 0.8375 -
0.1004 3500 0.9493 0.6344 0.8369 -
0.1033 3600 1.0189 0.6250 0.8373 -
0.1061 3700 0.9419 0.6191 0.8350 -
0.1090 3800 0.92 0.6200 0.8365 -
0.1119 3900 0.9122 0.6067 0.8393 -
0.1147 4000 0.8892 0.6080 0.8369 -
0.1176 4100 0.8653 0.6025 0.8399 -
0.1205 4200 0.8945 0.6013 0.8386 -
0.1233 4300 0.9031 0.5840 0.8393 -
0.1262 4400 0.9359 0.5861 0.8361 -
0.1291 4500 0.7814 0.5744 0.8373 -
0.1319 4600 0.8258 0.5847 0.8356 -
0.1348 4700 0.8412 0.5854 0.8361 -
0.1377 4800 0.7641 0.5762 0.8368 -
0.1405 4900 0.8122 0.5674 0.8379 -
0.1434 5000 0.7961 0.5643 0.8339 -
0.1463 5100 0.8086 0.5785 0.8328 -
0.1491 5200 0.837 0.5489 0.8383 -
0.1520 5300 0.7835 0.5560 0.8399 -
0.1549 5400 0.7723 0.5494 0.8399 -
0.1577 5500 0.9365 0.5508 0.8461 -
0.1606 5600 0.8095 0.5474 0.8341 -
0.1635 5700 0.7848 0.5342 0.8429 -
0.1664 5800 0.8878 0.5394 0.8392 -
0.1692 5900 0.7972 0.5528 0.8326 -
0.1721 6000 0.7316 0.5388 0.8429 -
0.1750 6100 0.7333 0.5430 0.8412 -
0.1778 6200 0.8127 0.5387 0.8383 -
0.1807 6300 0.6688 0.5426 0.8407 -
0.1836 6400 0.8131 0.5368 0.8362 -
0.1864 6500 0.7343 0.5288 0.8376 -
0.1893 6600 0.7565 0.5291 0.8336 -
0.1922 6700 0.8358 0.5250 0.8356 -
0.1950 6800 0.7402 0.5274 0.8407 -
0.1979 6900 0.7376 0.5316 0.8341 -
0.2008 7000 0.7901 0.5144 0.8353 -
0.2036 7100 0.7116 0.5170 0.8320 -
0.2065 7200 0.712 0.5432 0.8308 -
0.2094 7300 0.7551 0.5210 0.8342 -
0.2122 7400 0.7337 0.5176 0.8341 -
0.2151 7500 0.7477 0.5135 0.8336 -
0.2180 7600 0.6758 0.5323 0.8348 -
0.2208 7700 0.8467 0.5179 0.8411 -
0.2237 7800 0.7342 0.5209 0.8377 -
0.2266 7900 0.7925 0.5101 0.8386 -
0.2294 8000 0.6548 0.5311 0.8332 -
0.2323 8100 0.7982 0.5165 0.8365 -
0.2352 8200 0.6897 0.5159 0.8447 -
0.2381 8300 0.7212 0.5151 0.8442 -
0.2409 8400 0.7185 0.5159 0.8376 -
0.2438 8500 0.6792 0.5327 0.8313 -
0.2467 8600 0.745 0.5220 0.8295 -
0.2495 8700 0.7491 0.5055 0.8392 -
0.2524 8800 0.7594 0.5123 0.8349 -
0.2553 8900 0.7387 0.4998 0.8347 -
0.2581 9000 0.6803 0.5156 0.8403 -
0.2610 9100 0.6666 0.5212 0.8314 -
0.2639 9200 0.7477 0.4989 0.8322 -
0.2667 9300 0.7037 0.5116 0.8356 -
0.2696 9400 0.7851 0.5117 0.8340 -
0.2725 9500 0.7453 0.5303 0.8344 -
0.2753 9600 0.6548 0.5270 0.8411 -
0.2782 9700 0.6747 0.5339 0.8361 -
0.2811 9800 0.691 0.5229 0.8325 -
0.2839 9900 0.7224 0.5362 0.8331 -
0.2868 10000 0.7043 0.5252 0.8308 -
0.2897 10100 0.7139 0.5322 0.8282 -
0.2925 10200 0.686 0.5232 0.8373 -
0.2954 10300 0.7128 0.5409 0.8404 -
0.2983 10400 0.731 0.5124 0.8424 -
0.3012 10500 0.6063 0.5072 0.8380 -
0.3040 10600 0.6362 0.5143 0.8353 -
0.3069 10700 0.7108 0.5051 0.8351 -
0.3098 10800 0.7122 0.5152 0.8359 -
0.3126 10900 0.7278 0.5499 0.8363 -
0.3155 11000 0.6251 0.5206 0.8368 -
0.3184 11100 0.7147 0.5086 0.8251 -
0.3212 11200 0.6829 0.5014 0.8264 -
0.3241 11300 0.7043 0.5147 0.8333 -
0.3270 11400 0.7103 0.4952 0.8231 -
0.3298 11500 0.6643 0.5171 0.8316 -
0.3327 11600 0.7244 0.5058 0.8332 -
0.3356 11700 0.6874 0.5209 0.8301 -
0.3384 11800 0.7794 0.5412 0.8390 -
0.3413 11900 0.6519 0.5291 0.8315 -
0.3442 12000 0.7061 0.5265 0.8330 -
0.3470 12100 0.7121 0.5265 0.8322 -
0.3499 12200 0.7062 0.4886 0.8417 -
0.3528 12300 0.7389 0.5040 0.8422 -
0.3556 12400 0.6898 0.5450 0.8254 -
0.3585 12500 0.7473 0.5146 0.8300 -
0.3614 12600 0.6726 0.4949 0.8315 -
0.3643 12700 0.6976 0.5145 0.8285 -
0.3671 12800 0.755 0.4993 0.8357 -
0.3700 12900 0.7033 0.5055 0.8356 -
0.3729 13000 0.6381 0.5135 0.8323 -
0.3757 13100 0.7318 0.5232 0.8317 -
0.3786 13200 0.7076 0.5170 0.8321 -
0.3815 13300 0.7588 0.5151 0.8303 -
0.3843 13400 0.7268 0.5093 0.8309 -
0.3872 13500 0.693 0.5212 0.8306 -
0.3901 13600 0.7142 0.5396 0.8243 -
0.3929 13700 0.7159 0.5206 0.8359 -
0.3958 13800 0.6868 0.5259 0.8334 -
0.3987 13900 0.538 0.5223 0.8360 -
0.4015 14000 0.6407 0.5462 0.8243 -
0.4044 14100 0.6624 0.5155 0.8326 -
0.4073 14200 0.6757 0.5413 0.8339 -
0.4101 14300 0.7632 0.5270 0.8233 -
0.4130 14400 0.7519 0.5090 0.8302 -
0.4159 14500 0.6563 0.5332 0.8317 -
0.4187 14600 0.6354 0.5227 0.8367 -
0.4216 14700 0.5812 0.5213 0.8331 -
0.4245 14800 0.611 0.5480 0.8259 -
0.4274 14900 0.6929 0.5691 0.8176 -
0.4302 15000 0.7502 0.5547 0.8222 -
0.4331 15100 0.681 0.5576 0.8257 -
0.4360 15200 0.6748 0.5290 0.8256 -
0.4388 15300 0.6772 0.5469 0.8181 -
0.4417 15400 0.7145 0.5340 0.8203 -
0.4446 15500 0.6645 0.5549 0.8144 -
0.4474 15600 0.6637 0.5447 0.8281 -
0.4503 15700 0.6584 0.5418 0.8268 -
0.4532 15800 0.6296 0.5302 0.8294 -
0.4560 15900 0.6231 0.5492 0.8268 -
0.4589 16000 0.6146 0.5523 0.8217 -
0.4618 16100 0.7127 0.5789 0.8267 -
0.4646 16200 0.788 0.5501 0.8283 -
0.4675 16300 0.6794 0.5558 0.8280 -
0.4704 16400 0.6748 0.5524 0.8198 -
0.4732 16500 0.756 0.5579 0.8318 -
0.4761 16600 0.664 0.5344 0.8316 -
0.4790 16700 0.7106 0.5633 0.8312 -
0.4818 16800 0.6797 0.5349 0.8186 -
0.4847 16900 0.7059 0.5507 0.8178 -
0.4876 17000 0.6144 0.5580 0.8161 -
0.4904 17100 0.6718 0.5931 0.8005 -
0.4933 17200 0.7537 0.5691 0.8107 -
0.4962 17300 0.6926 0.5557 0.8124 -
0.4991 17400 0.6135 0.5820 0.8083 -
0.5019 17500 0.7507 0.5668 0.8095 -
0.5048 17600 0.6885 0.5485 0.8253 -
0.5077 17700 0.698 0.5498 0.8282 -
0.5105 17800 0.6691 0.5629 0.8251 -
0.5134 17900 0.6832 0.5572 0.8230 -
0.5163 18000 0.6677 0.5712 0.8126 -
0.5191 18100 0.6327 0.5937 0.8259 -
0.5220 18200 0.6617 0.6393 0.8085 -
0.5249 18300 0.7121 0.5785 0.8219 -
0.5277 18400 0.7113 0.5623 0.8191 -
0.5306 18500 0.7211 0.5552 0.8216 -
0.5335 18600 0.705 0.5781 0.8278 -
0.5363 18700 0.6836 0.5911 0.8114 -
0.5392 18800 0.6577 0.5613 0.8152 -
0.5421 18900 0.5729 0.5653 0.8168 -
0.5449 19000 0.6082 0.5685 0.8193 -
0.5478 19100 0.6644 0.5648 0.8193 -
0.5507 19200 0.6133 0.5460 0.8230 -
0.5535 19300 0.6769 0.5444 0.8159 -
0.5564 19400 0.6571 0.5641 0.8185 -
0.5593 19500 0.6562 0.5746 0.8189 -
0.5622 19600 0.6341 0.5507 0.8313 -
0.5650 19700 0.6308 0.5661 0.8261 -
0.5679 19800 0.7261 0.5339 0.8250 -
0.5708 19900 0.5485 0.5364 0.8279 -
0.5736 20000 0.6383 0.5575 0.8159 -
0.5765 20100 0.7019 0.5305 0.8239 -
0.5794 20200 0.6936 0.5502 0.8184 -
0.5822 20300 0.6255 0.5513 0.8159 -
0.5851 20400 0.6686 0.5497 0.8172 -
0.5880 20500 0.6026 0.5389 0.8269 -
0.5908 20600 0.6477 0.5523 0.8260 -
0.5937 20700 0.635 0.5383 0.8244 -
0.5966 20800 0.6542 0.5483 0.8193 -
0.5994 20900 0.6562 0.5482 0.8209 -
0.6023 21000 0.6261 0.5624 0.8266 -
0.6052 21100 0.6059 0.5573 0.8199 -
0.6080 21200 0.6642 0.5511 0.8207 -
0.6109 21300 0.7099 0.5463 0.8283 -
0.6138 21400 0.5576 0.5755 0.8168 -
0.6166 21500 0.6077 0.5481 0.8289 -
0.6195 21600 0.6103 0.5582 0.8277 -
0.6224 21700 0.6749 0.5361 0.8226 -
0.6253 21800 0.6102 0.5607 0.8174 -
0.6281 21900 0.6339 0.5610 0.8144 -
0.6310 22000 0.5764 0.5738 0.8108 -
0.6339 22100 0.6714 0.5604 0.8086 -
0.6367 22200 0.6787 0.5299 0.8209 -
0.6396 22300 0.621 0.5422 0.8224 -
0.6425 22400 0.638 0.5396 0.8193 -
0.6453 22500 0.593 0.5604 0.8203 -
0.6482 22600 0.6295 0.5454 0.8272 -
0.6511 22700 0.6135 0.5783 0.8166 -
0.6539 22800 0.5804 0.5884 0.8160 -
0.6568 22900 0.6277 0.5534 0.8208 -
0.6597 23000 0.5333 0.5394 0.8208 -
0.6625 23100 0.7298 0.5378 0.8222 -
0.6654 23200 0.6677 0.5451 0.8162 -
0.6683 23300 0.6323 0.5528 0.8193 -
0.6711 23400 0.5063 0.5524 0.8198 -
0.6740 23500 0.649 0.5438 0.8183 -
0.6769 23600 0.6075 0.5565 0.8283 -
0.6797 23700 0.5075 0.5530 0.8258 -
0.6826 23800 0.6472 0.5635 0.8274 -
0.6855 23900 0.55 0.5846 0.8230 -
0.6883 24000 0.5452 0.5432 0.8271 -
0.6912 24100 0.5956 0.5387 0.8195 -
0.6941 24200 0.6282 0.5412 0.8160 -
0.6970 24300 0.6167 0.5348 0.8227 -
0.6998 24400 0.5959 0.5458 0.8272 -
0.7027 24500 0.6189 0.5606 0.8279 -
0.7056 24600 0.5836 0.5717 0.8189 -
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4.9963 174200 0.0539 0.4342 0.8198 -
4.9991 174300 0.0918 0.4342 0.8199 -
-1 -1 - - - 0.7971

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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