Sparse CSR model trained on Natural Questions

This is a CSR Sparse Encoder model finetuned from mixedbread-ai/mxbai-embed-large-v1 on the natural-questions dataset using the sentence-transformers library. It maps sentences & paragraphs to a 4096-dimensional sparse vector space with 256 maximum active dimensions and can be used for semantic search and sparse retrieval.

Model Details

Model Description

  • Model Type: CSR Sparse Encoder
  • Base model: mixedbread-ai/mxbai-embed-large-v1
  • Maximum Sequence Length: 512 tokens
  • Output Dimensionality: 4096 dimensions (trained with 256 maximum active dimensions)
  • Similarity Function: Dot Product
  • Training Dataset:
  • Language: en
  • License: apache-2.0

Model Sources

Full Model Architecture

SparseEncoder(
  (0): Transformer({'max_seq_length': 512, 'do_lower_case': False}) with Transformer model: BertModel 
  (1): Pooling({'word_embedding_dimension': 1024, 'pooling_mode_cls_token': True, 'pooling_mode_mean_tokens': False, '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): CSRSparsity({'input_dim': 1024, 'hidden_dim': 4096, 'k': 256, 'k_aux': 512, 'normalize': False, 'dead_threshold': 30})
)

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 SparseEncoder

# Download from the 🤗 Hub
model = SparseEncoder("tomaarsen/csr-mxbai-embed-large-v1-nq-updated-reconstruction-2")
# Run inference
queries = [
    "who is cornelius in the book of acts",
]
documents = [
    'Cornelius the Centurion Cornelius (Greek: Κορνήλιος) was a Roman centurion who is considered by Christians to be one of the first Gentiles to convert to the faith, as related in Acts of the Apostles.',
    "Joe Ranft Ranft reunited with Lasseter when he was hired by Pixar in 1991 as their head of story.[1] There he worked on all of their films produced up to 2006; this included Toy Story (for which he received an Academy Award nomination) and A Bug's Life, as the co-story writer and others as story supervisor. His final film was Cars. He also voiced characters in many of the films, including Heimlich the caterpillar in A Bug's Life, Wheezy the penguin in Toy Story 2, and Jacques the shrimp in Finding Nemo.[1]",
    'Wonderful Tonight "Wonderful Tonight" is a ballad written by Eric Clapton. It was included on Clapton\'s 1977 album Slowhand. Clapton wrote the song about Pattie Boyd.[1] The female vocal harmonies on the song are provided by Marcella Detroit (then Marcy Levy) and Yvonne Elliman.',
]
query_embeddings = model.encode_query(queries)
document_embeddings = model.encode_document(documents)
print(query_embeddings.shape, document_embeddings.shape)
# [1, 4096] [3, 4096]

# Get the similarity scores for the embeddings
similarities = model.similarity(query_embeddings, document_embeddings)
print(similarities)
# tensor([[118.6570,  32.2072,  21.3971]])

Evaluation

Metrics

Sparse Information Retrieval

Metric NanoMSMARCO_128 NanoNFCorpus_128 NanoNQ_128
dot_accuracy@1 0.38 0.44 0.48
dot_accuracy@3 0.66 0.54 0.66
dot_accuracy@5 0.72 0.64 0.7
dot_accuracy@10 0.82 0.68 0.84
dot_precision@1 0.38 0.44 0.48
dot_precision@3 0.22 0.3133 0.2267
dot_precision@5 0.144 0.28 0.148
dot_precision@10 0.082 0.246 0.09
dot_recall@1 0.38 0.0451 0.45
dot_recall@3 0.66 0.0675 0.62
dot_recall@5 0.72 0.0877 0.67
dot_recall@10 0.82 0.1204 0.81
dot_ndcg@10 0.6075 0.3038 0.6338
dot_mrr@10 0.5393 0.5082 0.5933
dot_map@100 0.5478 0.1387 0.5762
query_active_dims 128.0 128.0 128.0
query_sparsity_ratio 0.9688 0.9688 0.9688
corpus_active_dims 128.0 128.0 128.0
corpus_sparsity_ratio 0.9688 0.9688 0.9688

Sparse Nano BEIR

  • Dataset: NanoBEIR_mean_128
  • Evaluated with SparseNanoBEIREvaluator with these parameters:
    {
        "dataset_names": [
            "msmarco",
            "nfcorpus",
            "nq"
        ],
        "max_active_dims": 128
    }
    
Metric Value
dot_accuracy@1 0.4333
dot_accuracy@3 0.62
dot_accuracy@5 0.6867
dot_accuracy@10 0.78
dot_precision@1 0.4333
dot_precision@3 0.2533
dot_precision@5 0.1907
dot_precision@10 0.1393
dot_recall@1 0.2917
dot_recall@3 0.4492
dot_recall@5 0.4926
dot_recall@10 0.5835
dot_ndcg@10 0.515
dot_mrr@10 0.5469
dot_map@100 0.4209
query_active_dims 128.0
query_sparsity_ratio 0.9688
corpus_active_dims 128.0
corpus_sparsity_ratio 0.9688

Sparse Information Retrieval

Metric NanoMSMARCO_256 NanoNFCorpus_256 NanoNQ_256
dot_accuracy@1 0.44 0.42 0.54
dot_accuracy@3 0.64 0.58 0.7
dot_accuracy@5 0.74 0.6 0.8
dot_accuracy@10 0.84 0.62 0.84
dot_precision@1 0.44 0.42 0.54
dot_precision@3 0.2133 0.3733 0.24
dot_precision@5 0.148 0.324 0.168
dot_precision@10 0.084 0.248 0.092
dot_recall@1 0.44 0.0451 0.51
dot_recall@3 0.64 0.0808 0.66
dot_recall@5 0.74 0.0994 0.75
dot_recall@10 0.84 0.1259 0.81
dot_ndcg@10 0.6405 0.3181 0.6642
dot_mrr@10 0.5769 0.5042 0.6294
dot_map@100 0.5851 0.1585 0.6163
query_active_dims 256.0 256.0 256.0
query_sparsity_ratio 0.9375 0.9375 0.9375
corpus_active_dims 256.0 256.0 256.0
corpus_sparsity_ratio 0.9375 0.9375 0.9375

Sparse Nano BEIR

  • Dataset: NanoBEIR_mean_256
  • Evaluated with SparseNanoBEIREvaluator with these parameters:
    {
        "dataset_names": [
            "msmarco",
            "nfcorpus",
            "nq"
        ],
        "max_active_dims": 256
    }
    
Metric Value
dot_accuracy@1 0.4667
dot_accuracy@3 0.64
dot_accuracy@5 0.7133
dot_accuracy@10 0.7667
dot_precision@1 0.4667
dot_precision@3 0.2756
dot_precision@5 0.2133
dot_precision@10 0.1413
dot_recall@1 0.3317
dot_recall@3 0.4603
dot_recall@5 0.5298
dot_recall@10 0.592
dot_ndcg@10 0.541
dot_mrr@10 0.5702
dot_map@100 0.4533
query_active_dims 256.0
query_sparsity_ratio 0.9375
corpus_active_dims 256.0
corpus_sparsity_ratio 0.9375

Sparse Information Retrieval

  • Datasets: NanoClimateFEVER, NanoDBPedia, NanoFEVER, NanoFiQA2018, NanoHotpotQA, NanoMSMARCO, NanoNFCorpus, NanoNQ, NanoQuoraRetrieval, NanoSCIDOCS, NanoArguAna, NanoSciFact and NanoTouche2020
  • Evaluated with SparseInformationRetrievalEvaluator
Metric NanoClimateFEVER NanoDBPedia NanoFEVER NanoFiQA2018 NanoHotpotQA NanoMSMARCO NanoNFCorpus NanoNQ NanoQuoraRetrieval NanoSCIDOCS NanoArguAna NanoSciFact NanoTouche2020
dot_accuracy@1 0.28 0.8 0.84 0.48 0.84 0.44 0.42 0.58 0.9 0.42 0.38 0.62 0.4898
dot_accuracy@3 0.52 0.9 0.92 0.6 0.96 0.62 0.56 0.7 1.0 0.72 0.7 0.72 0.8367
dot_accuracy@5 0.7 0.9 0.96 0.64 0.96 0.74 0.64 0.8 1.0 0.82 0.8 0.76 0.9592
dot_accuracy@10 0.8 0.92 0.96 0.74 0.98 0.84 0.66 0.82 1.0 0.88 0.92 0.84 0.9796
dot_precision@1 0.28 0.8 0.84 0.48 0.84 0.44 0.42 0.58 0.9 0.42 0.38 0.62 0.4898
dot_precision@3 0.1867 0.6467 0.32 0.3067 0.5133 0.2067 0.38 0.24 0.4133 0.3533 0.2333 0.2667 0.517
dot_precision@5 0.168 0.56 0.2 0.224 0.328 0.148 0.348 0.168 0.272 0.3 0.16 0.172 0.5347
dot_precision@10 0.108 0.474 0.1 0.136 0.17 0.084 0.258 0.09 0.138 0.208 0.092 0.096 0.4347
dot_recall@1 0.1217 0.0913 0.7867 0.2592 0.42 0.44 0.0449 0.55 0.7773 0.0907 0.38 0.595 0.0342
dot_recall@3 0.2323 0.1741 0.8867 0.3973 0.77 0.62 0.0877 0.66 0.962 0.2217 0.7 0.705 0.109
dot_recall@5 0.348 0.2252 0.9267 0.4498 0.82 0.74 0.1084 0.75 0.9933 0.3097 0.8 0.755 0.1812
dot_recall@10 0.4263 0.3214 0.9267 0.5796 0.85 0.84 0.1355 0.79 0.9967 0.4257 0.92 0.84 0.2885
dot_ndcg@10 0.3324 0.6002 0.8816 0.4881 0.8107 0.6329 0.3285 0.6773 0.951 0.4023 0.6551 0.7194 0.4768
dot_mrr@10 0.4364 0.8425 0.89 0.5517 0.8967 0.5678 0.501 0.6522 0.9467 0.5887 0.5706 0.6824 0.6785
dot_map@100 0.249 0.4526 0.859 0.4255 0.7566 0.5762 0.1617 0.6421 0.9297 0.3208 0.5761 0.6851 0.359
query_active_dims 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0
query_sparsity_ratio 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375
corpus_active_dims 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0 256.0
corpus_sparsity_ratio 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375 0.9375

Sparse Nano BEIR

  • Dataset: NanoBEIR_mean
  • Evaluated with SparseNanoBEIREvaluator with these parameters:
    {
        "dataset_names": [
            "climatefever",
            "dbpedia",
            "fever",
            "fiqa2018",
            "hotpotqa",
            "msmarco",
            "nfcorpus",
            "nq",
            "quoraretrieval",
            "scidocs",
            "arguana",
            "scifact",
            "touche2020"
        ]
    }
    
Metric Value
dot_accuracy@1 0.5761
dot_accuracy@3 0.7505
dot_accuracy@5 0.8215
dot_accuracy@10 0.8723
dot_precision@1 0.5761
dot_precision@3 0.3526
dot_precision@5 0.2756
dot_precision@10 0.1837
dot_recall@1 0.3531
dot_recall@3 0.502
dot_recall@5 0.5698
dot_recall@10 0.6416
dot_ndcg@10 0.612
dot_mrr@10 0.6773
dot_map@100 0.538
query_active_dims 256.0
query_sparsity_ratio 0.9375
corpus_active_dims 256.0
corpus_sparsity_ratio 0.9375

Training Details

Training Dataset

natural-questions

  • Dataset: natural-questions at f9e894e
  • Size: 99,000 training samples
  • Columns: query and answer
  • Approximate statistics based on the first 1000 samples:
    query answer
    type string string
    details
    • min: 10 tokens
    • mean: 11.71 tokens
    • max: 26 tokens
    • min: 4 tokens
    • mean: 131.81 tokens
    • max: 450 tokens
  • Samples:
    query answer
    who played the father in papa don't preach Alex McArthur Alex McArthur (born March 6, 1957) is an American actor.
    where was the location of the battle of hastings Battle of Hastings The Battle of Hastings[a] was fought on 14 October 1066 between the Norman-French army of William, the Duke of Normandy, and an English army under the Anglo-Saxon King Harold Godwinson, beginning the Norman conquest of England. It took place approximately 7 miles (11 kilometres) northwest of Hastings, close to the present-day town of Battle, East Sussex, and was a decisive Norman victory.
    how many puppies can a dog give birth to Canine reproduction The largest litter size to date was set by a Neapolitan Mastiff in Manea, Cambridgeshire, UK on November 29, 2004; the litter was 24 puppies.[22]
  • Loss: CSRLoss with these parameters:
    {
        "beta": 0.1,
        "gamma": 1.0,
        "loss": "SparseMultipleNegativesRankingLoss(scale=1.0, similarity_fct='dot_score')"
    }
    

Evaluation Dataset

natural-questions

  • Dataset: natural-questions at f9e894e
  • Size: 1,000 evaluation samples
  • Columns: query and answer
  • Approximate statistics based on the first 1000 samples:
    query answer
    type string string
    details
    • min: 10 tokens
    • mean: 11.69 tokens
    • max: 23 tokens
    • min: 15 tokens
    • mean: 134.01 tokens
    • max: 512 tokens
  • Samples:
    query answer
    where is the tiber river located in italy Tiber The Tiber (/ˈtaɪbər/, Latin: Tiberis,[1] Italian: Tevere [ˈteːvere])[2] is the third-longest river in Italy, rising in the Apennine Mountains in Emilia-Romagna and flowing 406 kilometres (252 mi) through Tuscany, Umbria and Lazio, where it is joined by the river Aniene, to the Tyrrhenian Sea, between Ostia and Fiumicino.[3] It drains a basin estimated at 17,375 square kilometres (6,709 sq mi). The river has achieved lasting fame as the main watercourse of the city of Rome, founded on its eastern banks.
    what kind of car does jay gatsby drive Jay Gatsby At the Buchanan home, Jordan Baker, Nick, Jay, and the Buchanans decide to visit New York City. Tom borrows Gatsby's yellow Rolls Royce to drive up to the city. On the way to New York City, Tom makes a detour at a gas station in "the Valley of Ashes", a run-down part of Long Island. The owner, George Wilson, shares his concern that his wife, Myrtle, may be having an affair. This unnerves Tom, who has been having an affair with Myrtle, and he leaves in a hurry.
    who sings if i can dream about you I Can Dream About You "I Can Dream About You" is a song performed by American singer Dan Hartman on the soundtrack album of the film Streets of Fire. Released in 1984 as a single from the soundtrack, and included on Hartman's album I Can Dream About You, it reached number 6 on the Billboard Hot 100.[1]
  • Loss: CSRLoss with these parameters:
    {
        "beta": 0.1,
        "gamma": 1.0,
        "loss": "SparseMultipleNegativesRankingLoss(scale=1.0, similarity_fct='dot_score')"
    }
    

Training Hyperparameters

Non-Default Hyperparameters

  • eval_strategy: steps
  • per_device_train_batch_size: 64
  • per_device_eval_batch_size: 64
  • learning_rate: 4e-05
  • num_train_epochs: 1
  • bf16: True
  • load_best_model_at_end: True
  • batch_sampler: no_duplicates

All Hyperparameters

Click to expand
  • overwrite_output_dir: False
  • do_predict: False
  • eval_strategy: steps
  • prediction_loss_only: True
  • per_device_train_batch_size: 64
  • 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: 4e-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: 0.0
  • 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: True
  • 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
  • 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
  • router_mapping: {}
  • learning_rate_mapping: {}

Training Logs

Epoch Step Training Loss Validation Loss NanoMSMARCO_128_dot_ndcg@10 NanoNFCorpus_128_dot_ndcg@10 NanoNQ_128_dot_ndcg@10 NanoBEIR_mean_128_dot_ndcg@10 NanoMSMARCO_256_dot_ndcg@10 NanoNFCorpus_256_dot_ndcg@10 NanoNQ_256_dot_ndcg@10 NanoBEIR_mean_256_dot_ndcg@10 NanoClimateFEVER_dot_ndcg@10 NanoDBPedia_dot_ndcg@10 NanoFEVER_dot_ndcg@10 NanoFiQA2018_dot_ndcg@10 NanoHotpotQA_dot_ndcg@10 NanoMSMARCO_dot_ndcg@10 NanoNFCorpus_dot_ndcg@10 NanoNQ_dot_ndcg@10 NanoQuoraRetrieval_dot_ndcg@10 NanoSCIDOCS_dot_ndcg@10 NanoArguAna_dot_ndcg@10 NanoSciFact_dot_ndcg@10 NanoTouche2020_dot_ndcg@10 NanoBEIR_mean_dot_ndcg@10
0.0646 100 0.3565 - - - - - - - - - - - - - - - - - - - - - - -
0.1293 200 0.3568 - - - - - - - - - - - - - - - - - - - - - - -
0.1939 300 0.3545 0.3458 0.6322 0.2796 0.5893 0.5004 0.6232 0.3253 0.6548 0.5345 - - - - - - - - - - - - - -
0.2586 400 0.3393 - - - - - - - - - - - - - - - - - - - - - - -
0.3232 500 0.3484 - - - - - - - - - - - - - - - - - - - - - - -
0.3878 600 0.3567 0.3452 0.6245 0.3038 0.5719 0.5000 0.6385 0.3375 0.6496 0.5419 - - - - - - - - - - - - - -
0.4525 700 0.3471 - - - - - - - - - - - - - - - - - - - - - - -
0.5171 800 0.3582 - - - - - - - - - - - - - - - - - - - - - - -
0.5818 900 0.3758 0.3417 0.5849 0.3074 0.5866 0.4929 0.6147 0.3310 0.6729 0.5395 - - - - - - - - - - - - - -
0.6464 1000 0.3515 - - - - - - - - - - - - - - - - - - - - - - -
0.7111 1100 0.3287 - - - - - - - - - - - - - - - - - - - - - - -
0.7757 1200 0.3486 0.3314 0.5937 0.2998 0.6317 0.5084 0.6309 0.3303 0.6773 0.5462 - - - - - - - - - - - - - -
0.8403 1300 0.3527 - - - - - - - - - - - - - - - - - - - - - - -
0.9050 1400 0.3161 - - - - - - - - - - - - - - - - - - - - - - -
0.9696 1500 0.3279 0.3244 0.6075 0.3038 0.6338 0.5150 0.6405 0.3181 0.6642 0.5410 - - - - - - - - - - - - - -
-1 -1 - - - - - - - - - - 0.3324 0.6002 0.8816 0.4881 0.8107 0.6329 0.3285 0.6773 0.9510 0.4023 0.6551 0.7194 0.4768 0.6120
  • The bold row denotes the saved checkpoint.

Environmental Impact

Carbon emissions were measured using CodeCarbon.

  • Energy Consumed: 0.136 kWh
  • Carbon Emitted: 0.053 kg of CO2
  • Hours Used: 0.41 hours

Training Hardware

  • On Cloud: No
  • GPU Model: 1 x NVIDIA GeForce RTX 3090
  • CPU Model: 13th Gen Intel(R) Core(TM) i7-13700K
  • RAM Size: 31.78 GB

Framework Versions

  • Python: 3.11.6
  • Sentence Transformers: 4.2.0.dev0
  • Transformers: 4.52.4
  • PyTorch: 2.6.0+cu124
  • Accelerate: 1.5.1
  • Datasets: 2.21.0
  • Tokenizers: 0.21.1

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",
}

CSRLoss

@misc{wen2025matryoshkarevisitingsparsecoding,
      title={Beyond Matryoshka: Revisiting Sparse Coding for Adaptive Representation},
      author={Tiansheng Wen and Yifei Wang and Zequn Zeng and Zhong Peng and Yudi Su and Xinyang Liu and Bo Chen and Hongwei Liu and Stefanie Jegelka and Chenyu You},
      year={2025},
      eprint={2503.01776},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2503.01776},
}

SparseMultipleNegativesRankingLoss

@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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