SentenceTransformer based on sentence-transformers/all-distilroberta-v1

This is a sentence-transformers model finetuned from sentence-transformers/all-distilroberta-v1. 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 Sources

Full Model Architecture

SentenceTransformer(
  (0): Transformer({'max_seq_length': 512, 'do_lower_case': False}) with Transformer model: RobertaModel 
  (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})
  (2): Normalize()
)

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 ๐Ÿค— Hub
model = SentenceTransformer("hanwenzhu/all-distilroberta-v1-lr2e-4-bs256-nneg3-ml-mar13")
# Run inference
sentences = [
    'Mathlib.Algebra.Polynomial.HasseDeriv#31',
    'Polynomial.hasseDeriv_coeff',
    'HomologicalComplex.isZero_X_of_isStrictlySupported',
]
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]

Training Details

Training Dataset

Unnamed Dataset

  • Size: 5,817,740 training samples
  • Columns: state_name and premise_name
  • Approximate statistics based on the first 1000 samples:
    state_name premise_name
    type string string
    details
    • min: 11 tokens
    • mean: 16.44 tokens
    • max: 24 tokens
    • min: 3 tokens
    • mean: 10.9 tokens
    • max: 50 tokens
  • Samples:
    state_name premise_name
    Mathlib.Algebra.Field.IsField#12 Classical.choose_spec
    Mathlib.Algebra.Field.IsField#12 IsField.mul_comm
    Mathlib.Algebra.Field.IsField#12 eq_of_heq
  • Loss: loss.MaskedCachedMultipleNegativesRankingLoss with these parameters:
    {
        "scale": 20.0,
        "similarity_fct": "cos_sim"
    }
    

Evaluation Dataset

Unnamed Dataset

  • Size: 1,959 evaluation samples
  • Columns: state_name and premise_name
  • Approximate statistics based on the first 1000 samples:
    state_name premise_name
    type string string
    details
    • min: 10 tokens
    • mean: 17.08 tokens
    • max: 24 tokens
    • min: 5 tokens
    • mean: 11.05 tokens
    • max: 31 tokens
  • Samples:
    state_name premise_name
    Mathlib.Algebra.Algebra.Hom#80 AlgHom.commutes
    Mathlib.Algebra.Algebra.NonUnitalSubalgebra#237 NonUnitalAlgHom.instNonUnitalAlgSemiHomClass
    Mathlib.Algebra.Algebra.NonUnitalSubalgebra#237 NonUnitalAlgebra.mem_top
  • Loss: loss.MaskedCachedMultipleNegativesRankingLoss with these parameters:
    {
        "scale": 20.0,
        "similarity_fct": "cos_sim"
    }
    

Training Hyperparameters

Non-Default Hyperparameters

  • eval_strategy: steps
  • per_device_train_batch_size: 256
  • per_device_eval_batch_size: 64
  • learning_rate: 0.0002
  • num_train_epochs: 1.0
  • lr_scheduler_type: cosine
  • warmup_ratio: 0.03
  • bf16: True
  • dataloader_num_workers: 4

All Hyperparameters

Click to expand
  • overwrite_output_dir: False
  • do_predict: False
  • eval_strategy: steps
  • prediction_loss_only: True
  • per_device_train_batch_size: 256
  • per_device_eval_batch_size: 64
  • 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: 0.0002
  • weight_decay: 0.0
  • adam_beta1: 0.9
  • adam_beta2: 0.999
  • adam_epsilon: 1e-08
  • max_grad_norm: 1.0
  • num_train_epochs: 1.0
  • max_steps: -1
  • lr_scheduler_type: cosine
  • lr_scheduler_kwargs: {}
  • warmup_ratio: 0.03
  • 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: 4
  • 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: False
  • hub_always_push: False
  • gradient_checkpointing: False
  • gradient_checkpointing_kwargs: None
  • include_inputs_for_metrics: False
  • 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
  • batch_sampler: batch_sampler
  • multi_dataset_batch_sampler: proportional

Training Logs

Click to expand
Epoch Step Training Loss loss
0.0004 10 6.5313 -
0.0009 20 5.8461 -
0.0013 30 5.298 -
0.0018 40 4.8788 -
0.0022 50 4.7161 -
0.0026 60 4.606 -
0.0031 70 4.5568 -
0.0035 80 4.5222 -
0.0040 90 4.349 -
0.0044 100 4.3264 -
0.0048 110 4.2951 -
0.0053 120 4.2444 -
0.0057 130 4.1826 -
0.0062 140 4.1195 -
0.0066 150 4.1094 -
0.0070 160 4.05 -
0.0075 170 4.0599 -
0.0079 180 4.0618 -
0.0084 190 4.0043 -
0.0088 200 4.0283 -
0.0092 210 4.0248 -
0.0097 220 4.0357 -
0.0100 228 - 2.1730
0.0101 230 3.9336 -
0.0106 240 3.8841 -
0.0110 250 3.8477 -
0.0114 260 3.8059 -
0.0119 270 3.8783 -
0.0123 280 3.7946 -
0.0128 290 3.8037 -
0.0132 300 3.8218 -
0.0136 310 3.7871 -
0.0141 320 3.8214 -
0.0145 330 3.8215 -
0.0150 340 3.6552 -
0.0154 350 3.6771 -
0.0158 360 3.6963 -
0.0163 370 3.6754 -
0.0167 380 3.6359 -
0.0172 390 3.7247 -
0.0176 400 3.6023 -
0.0180 410 3.6708 -
0.0185 420 3.667 -
0.0189 430 3.6126 -
0.0194 440 3.6164 -
0.0198 450 3.6151 -
0.0201 456 - 1.9977
0.0202 460 3.6369 -
0.0207 470 3.647 -
0.0211 480 3.7798 -
0.0216 490 3.5451 -
0.0220 500 3.5756 -
0.0224 510 3.5586 -
0.0229 520 3.6099 -
0.0233 530 3.5646 -
0.0238 540 3.555 -
0.0242 550 3.4994 -
0.0246 560 3.6196 -
0.0251 570 3.5675 -
0.0255 580 3.4746 -
0.0260 590 3.5615 -
0.0264 600 3.5677 -
0.0268 610 3.4744 -
0.0273 620 3.4678 -
0.0277 630 3.521 -
0.0282 640 3.6169 -
0.0286 650 3.5405 -
0.0290 660 3.561 -
0.0295 670 3.5382 -
0.0299 680 3.5446 -
0.0301 684 - 1.8860
0.0304 690 3.513 -
0.0308 700 3.4335 -
0.0312 710 3.4511 -
0.0317 720 3.4689 -
0.0321 730 3.4505 -
0.0326 740 3.4249 -
0.0330 750 3.4336 -
0.0334 760 3.4758 -
0.0339 770 3.4573 -
0.0343 780 3.4113 -
0.0348 790 3.4492 -
0.0352 800 3.474 -
0.0356 810 3.3008 -
0.0361 820 3.4444 -
0.0365 830 3.316 -
0.0370 840 3.4442 -
0.0374 850 3.2422 -
0.0378 860 3.3634 -
0.0383 870 3.2755 -
0.0387 880 3.3625 -
0.0392 890 3.3474 -
0.0396 900 3.2749 -
0.0400 910 3.2207 -
0.0401 912 - 1.8273
0.0405 920 3.3529 -
0.0409 930 3.2911 -
0.0414 940 3.329 -
0.0418 950 3.3072 -
0.0422 960 3.3587 -
0.0427 970 3.303 -
0.0431 980 3.2542 -
0.0436 990 3.2936 -
0.0440 1000 3.3021 -
0.0444 1010 3.2057 -
0.0449 1020 3.2156 -
0.0453 1030 3.281 -
0.0458 1040 3.181 -
0.0462 1050 3.2006 -
0.0466 1060 3.1812 -
0.0471 1070 3.2928 -
0.0475 1080 3.1671 -
0.0480 1090 3.1744 -
0.0484 1100 3.1677 -
0.0488 1110 3.2073 -
0.0493 1120 3.127 -
0.0497 1130 3.1369 -
0.0502 1140 3.1129 1.8318
0.0506 1150 3.2757 -
0.0510 1160 3.1454 -
0.0515 1170 3.0366 -
0.0519 1180 3.2109 -
0.0524 1190 3.1474 -
0.0528 1200 3.0873 -
0.0532 1210 3.1608 -
0.0537 1220 3.1226 -
0.0541 1230 3.0992 -
0.0546 1240 3.095 -
0.0550 1250 3.1181 -
0.0554 1260 3.0438 -
0.0559 1270 3.1345 -
0.0563 1280 3.0135 -
0.0568 1290 3.0876 -
0.0572 1300 3.0489 -
0.0576 1310 3.123 -
0.0581 1320 3.0164 -
0.0585 1330 3.0579 -
0.0590 1340 3.0497 -
0.0594 1350 3.0608 -
0.0598 1360 3.0785 -
0.0602 1368 - 1.7341
0.0603 1370 3.0138 -
0.0607 1380 3.0767 -
0.0612 1390 3.0639 -
0.0616 1400 3.0051 -
0.0620 1410 2.9067 -
0.0625 1420 3.0086 -
0.0629 1430 3.0136 -
0.0634 1440 2.9697 -
0.0638 1450 3.0292 -
0.0642 1460 3.0602 -
0.0647 1470 3.0248 -
0.0651 1480 2.917 -
0.0656 1490 3.0368 -
0.0660 1500 2.9666 -
0.0664 1510 3.018 -
0.0669 1520 3.0077 -
0.0673 1530 2.9694 -
0.0678 1540 2.9652 -
0.0682 1550 2.9591 -
0.0686 1560 3.0072 -
0.0691 1570 2.9479 -
0.0695 1580 2.9637 -
0.0700 1590 2.9199 -
0.0702 1596 - 1.7461
0.0704 1600 2.9634 -
0.0708 1610 2.9283 -
0.0713 1620 2.9953 -
0.0717 1630 2.8624 -
0.0722 1640 2.9847 -
0.0726 1650 2.8753 -
0.0730 1660 2.8498 -
0.0735 1670 2.9291 -
0.0739 1680 2.8628 -
0.0744 1690 2.8752 -
0.0748 1700 2.9715 -
0.0752 1710 2.9163 -
0.0757 1720 2.8338 -
0.0761 1730 2.8921 -
0.0766 1740 2.851 -
0.0770 1750 2.8548 -
0.0774 1760 2.9391 -
0.0779 1770 2.8622 -
0.0783 1780 2.7851 -
0.0788 1790 2.8691 -
0.0792 1800 2.9062 -
0.0796 1810 2.888 -
0.0801 1820 2.8068 -
0.0803 1824 - 1.6806
0.0805 1830 2.8577 -
0.0810 1840 2.8845 -
0.0814 1850 2.8139 -
0.0818 1860 2.8207 -
0.0823 1870 2.888 -
0.0827 1880 2.8918 -
0.0832 1890 2.8024 -
0.0836 1900 2.8376 -
0.0840 1910 2.8812 -
0.0845 1920 2.896 -
0.0849 1930 2.7798 -
0.0854 1940 2.8285 -
0.0858 1950 2.8183 -
0.0862 1960 2.7862 -
0.0867 1970 2.8523 -
0.0871 1980 2.9032 -
0.0876 1990 2.8677 -
0.0880 2000 2.8458 -
0.0884 2010 2.9341 -
0.0889 2020 2.7849 -
0.0893 2030 2.8287 -
0.0898 2040 2.8386 -
0.0902 2050 2.8467 -
0.0903 2052 - 1.6985
0.0906 2060 2.8283 -
0.0911 2070 2.7755 -
0.0915 2080 2.7861 -
0.0920 2090 2.7892 -
0.0924 2100 2.7897 -
0.0928 2110 2.8184 -
0.0933 2120 2.7632 -
0.0937 2130 2.7532 -
0.0942 2140 2.7983 -
0.0946 2150 2.7626 -
0.0950 2160 2.7672 -
0.0955 2170 2.7953 -
0.0959 2180 2.7805 -
0.0964 2190 2.8159 -
0.0968 2200 2.6431 -
0.0972 2210 2.6948 -
0.0977 2220 2.6918 -
0.0981 2230 2.8181 -
0.0986 2240 2.7128 -
0.0990 2250 2.6758 -
0.0994 2260 2.7364 -
0.0999 2270 2.6537 -
0.1003 2280 2.6573 1.6622
0.1008 2290 2.7634 -
0.1012 2300 2.6813 -
0.1016 2310 2.7016 -
0.1021 2320 2.6836 -
0.1025 2330 2.6795 -
0.1030 2340 2.7212 -
0.1034 2350 2.7389 -
0.1038 2360 2.7147 -
0.1043 2370 2.7513 -
0.1047 2380 2.6751 -
0.1052 2390 2.7532 -
0.1056 2400 2.7173 -
0.1060 2410 2.6352 -
0.1065 2420 2.5844 -
0.1069 2430 2.6315 -
0.1074 2440 2.7198 -
0.1078 2450 2.771 -
0.1082 2460 2.674 -
0.1087 2470 2.6526 -
0.1091 2480 2.6998 -
0.1096 2490 2.6337 -
0.1100 2500 2.6348 -
0.1104 2508 - 1.6309
0.1104 2510 2.6309 -
0.1109 2520 2.6551 -
0.1113 2530 2.6038 -
0.1118 2540 2.6319 -
0.1122 2550 2.623 -
0.1126 2560 2.6189 -
0.1131 2570 2.6289 -
0.1135 2580 2.6386 -
0.1140 2590 2.5993 -
0.1144 2600 2.6238 -
0.1148 2610 2.6309 -
0.1153 2620 2.5891 -
0.1157 2630 2.6038 -
0.1162 2640 2.5489 -
0.1166 2650 2.5797 -
0.1170 2660 2.5613 -
0.1175 2670 2.6497 -
0.1179 2680 2.5599 -
0.1184 2690 2.6382 -
0.1188 2700 2.6296 -
0.1192 2710 2.5875 -
0.1197 2720 2.5798 -
0.1201 2730 2.6157 -
0.1204 2736 - 1.6389
0.1206 2740 2.605 -
0.1210 2750 2.5752 -
0.1214 2760 2.5838 -
0.1219 2770 2.5992 -
0.1223 2780 2.5948 -
0.1228 2790 2.5536 -
0.1232 2800 2.6077 -
0.1236 2810 2.5536 -
0.1241 2820 2.5599 -
0.1245 2830 2.5205 -
0.1250 2840 2.6039 -
0.1254 2850 2.5441 -
0.1258 2860 2.5149 -
0.1263 2870 2.5222 -
0.1267 2880 2.5051 -
0.1272 2890 2.5838 -
0.1276 2900 2.4915 -
0.1280 2910 2.4529 -
0.1285 2920 2.5686 -
0.1289 2930 2.5959 -
0.1294 2940 2.6085 -
0.1298 2950 2.5996 -
0.1302 2960 2.5003 -
0.1304 2964 - 1.6185
0.1307 2970 2.5543 -
0.1311 2980 2.495 -
0.1316 2990 2.4379 -
0.1320 3000 2.506 -
0.1324 3010 2.4225 -
0.1329 3020 2.5437 -
0.1333 3030 2.5433 -
0.1338 3040 2.4638 -
0.1342 3050 2.5244 -
0.1346 3060 2.4755 -
0.1351 3070 2.4853 -
0.1355 3080 2.432 -
0.1360 3090 2.4536 -
0.1364 3100 2.5293 -
0.1368 3110 2.5399 -
0.1373 3120 2.4926 -
0.1377 3130 2.5165 -
0.1382 3140 2.4556 -
0.1386 3150 2.412 -
0.1390 3160 2.4449 -
0.1395 3170 2.4788 -
0.1399 3180 2.5068 -
0.1404 3190 2.3961 -
0.1405 3192 - 1.6126
0.1408 3200 2.4047 -
0.1412 3210 2.4256 -
0.1417 3220 2.4444 -
0.1421 3230 2.4485 -
0.1426 3240 2.4094 -
0.1430 3250 2.454 -
0.1434 3260 2.4396 -
0.1439 3270 2.4885 -
0.1443 3280 2.5197 -
0.1448 3290 2.4666 -
0.1452 3300 2.4201 -
0.1456 3310 2.4572 -
0.1461 3320 2.4198 -
0.1465 3330 2.4638 -
0.1470 3340 2.4049 -
0.1474 3350 2.4763 -
0.1478 3360 2.4292 -
0.1483 3370 2.4596 -
0.1487 3380 2.3948 -
0.1492 3390 2.5441 -
0.1496 3400 2.4433 -
0.1500 3410 2.3446 -
0.1505 3420 2.4146 1.5525
0.1509 3430 2.4044 -
0.1514 3440 2.3668 -
0.1518 3450 2.4567 -
0.1522 3460 2.4241 -
0.1527 3470 2.3647 -
0.1531 3480 2.3882 -
0.1536 3490 2.3882 -
0.1540 3500 2.4104 -
0.1544 3510 2.3872 -
0.1549 3520 2.3767 -
0.1553 3530 2.3841 -
0.1558 3540 2.3832 -
0.1562 3550 2.3928 -
0.1566 3560 2.3558 -
0.1571 3570 2.357 -
0.1575 3580 2.3762 -
0.1580 3590 2.3784 -
0.1584 3600 2.4023 -
0.1588 3610 2.426 -
0.1593 3620 2.4229 -
0.1597 3630 2.383 -
0.1602 3640 2.3514 -
0.1605 3648 - 1.6487
0.1606 3650 2.3811 -
0.1610 3660 2.3784 -
0.1615 3670 2.402 -
0.1619 3680 2.3215 -
0.1624 3690 2.3213 -
0.1628 3700 2.3513 -
0.1632 3710 2.4436 -
0.1637 3720 2.3684 -
0.1641 3730 2.3906 -
0.1646 3740 2.3884 -
0.1650 3750 2.3676 -
0.1654 3760 2.3415 -
0.1659 3770 2.3404 -
0.1663 3780 2.3564 -
0.1668 3790 2.3482 -
0.1672 3800 2.3572 -
0.1676 3810 2.318 -
0.1681 3820 2.3825 -
0.1685 3830 2.3783 -
0.1690 3840 2.2664 -
0.1694 3850 2.299 -
0.1698 3860 2.3321 -
0.1703 3870 2.381 -
0.1706 3876 - 1.5871
0.1707 3880 2.3345 -
0.1712 3890 2.2969 -
0.1716 3900 2.3345 -
0.1720 3910 2.3456 -
0.1725 3920 2.3196 -
0.1729 3930 2.2699 -
0.1734 3940 2.3006 -
0.1738 3950 2.3013 -
0.1742 3960 2.2816 -
0.1747 3970 2.2987 -
0.1751 3980 2.3082 -
0.1756 3990 2.3046 -
0.1760 4000 2.3635 -
0.1764 4010 2.278 -
0.1769 4020 2.2689 -
0.1773 4030 2.2703 -
0.1778 4040 2.3683 -
0.1782 4050 2.2925 -
0.1787 4060 2.2972 -
0.1791 4070 2.3245 -
0.1795 4080 2.2321 -
0.1800 4090 2.332 -
0.1804 4100 2.244 -
0.1806 4104 - 1.5715
0.1809 4110 2.2946 -
0.1813 4120 2.3085 -
0.1817 4130 2.2585 -
0.1822 4140 2.3246 -
0.1826 4150 2.337 -
0.1831 4160 2.2869 -
0.1835 4170 2.2271 -
0.1839 4180 2.2341 -
0.1844 4190 2.267 -
0.1848 4200 2.3124 -
0.1853 4210 2.2239 -
0.1857 4220 2.2536 -
0.1861 4230 2.2362 -
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0.9940 22590 1.1698 -
0.9945 22600 1.1885 -
0.9949 22610 1.1201 -
0.9953 22620 1.1501 -
0.9958 22630 1.1219 -
0.9962 22640 1.1748 -
0.9967 22650 1.1837 -
0.9971 22660 1.2276 -
0.9975 22670 1.1663 -
0.9980 22680 1.186 -
0.9984 22690 1.1437 -
0.9989 22700 1.1212 -
0.9993 22710 1.1412 -
0.9997 22720 1.1761 -

Framework Versions

  • Python: 3.11.8
  • Sentence Transformers: 3.1.1
  • Transformers: 4.45.1
  • PyTorch: 2.5.1.post302
  • Accelerate: 0.34.2
  • Datasets: 3.0.0
  • Tokenizers: 0.20.0

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",
}

MaskedCachedMultipleNegativesRankingLoss

@misc{gao2021scaling,
    title={Scaling Deep Contrastive Learning Batch Size under Memory Limited Setup},
    author={Luyu Gao and Yunyi Zhang and Jiawei Han and Jamie Callan},
    year={2021},
    eprint={2101.06983},
    archivePrefix={arXiv},
    primaryClass={cs.LG}
}
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