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This is a SPLADE Sparse Encoder model finetuned from distilbert/distilbert-base-uncased on the quora-duplicates dataset using the sentence-transformers library. It maps sentences & paragraphs to a 30522-dimensional sparse vector space and can be used for semantic search and sparse retrieval.
SparseEncoder(
(0): MLMTransformer({'max_seq_length': 256, 'do_lower_case': False}) with MLMTransformer model: DistilBertForMaskedLM
(1): SpladePooling({'pooling_strategy': 'max', 'activation_function': 'relu', 'word_embedding_dimension': 30522})
)
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("arthurbresnu/splade-distilbert-base-uncased-quora-duplicates")
# Run inference
sentences = [
'What accomplishments did Hillary Clinton achieve during her time as Secretary of State?',
"What are Hillary Clinton's most recognized accomplishments while Secretary of State?",
'What are Hillary Clinton’s qualifications to be President?',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# (3, 30522)
# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities.shape)
# [3, 3]
quora_duplicates_dev
SparseBinaryClassificationEvaluator
| Metric | Value |
|---|---|
| cosine_accuracy | 0.758 |
| cosine_accuracy_threshold | 0.8166 |
| cosine_f1 | 0.6793 |
| cosine_f1_threshold | 0.5696 |
| cosine_precision | 0.5488 |
| cosine_recall | 0.8913 |
| cosine_ap | 0.6888 |
| cosine_mcc | 0.5082 |
| dot_accuracy | 0.765 |
| dot_accuracy_threshold | 51.6699 |
| dot_f1 | 0.6762 |
| dot_f1_threshold | 46.5249 |
| dot_precision | 0.5817 |
| dot_recall | 0.8075 |
| dot_ap | 0.6336 |
| dot_mcc | 0.4996 |
| euclidean_accuracy | 0.677 |
| euclidean_accuracy_threshold | -14.2724 |
| euclidean_f1 | 0.486 |
| euclidean_f1_threshold | -0.6445 |
| euclidean_precision | 0.3213 |
| euclidean_recall | 0.9969 |
| euclidean_ap | 0.2033 |
| euclidean_mcc | -0.0459 |
| manhattan_accuracy | 0.677 |
| manhattan_accuracy_threshold | -161.7768 |
| manhattan_f1 | 0.486 |
| manhattan_f1_threshold | -3.0495 |
| manhattan_precision | 0.3213 |
| manhattan_recall | 0.9969 |
| manhattan_ap | 0.2044 |
| manhattan_mcc | -0.0459 |
| max_accuracy | 0.765 |
| max_accuracy_threshold | 51.6699 |
| max_f1 | 0.6793 |
| max_f1_threshold | 46.5249 |
| max_precision | 0.5817 |
| max_recall | 0.9969 |
| max_ap | 0.6888 |
| max_mcc | 0.5082 |
| active_dims | 78.3228 |
| sparsity_ratio | 0.9974 |
NanoMSMARCO
,
NanoNQ
,
NanoNFCorpus
,
NanoQuoraRetrieval
,
NanoClimateFEVER
,
NanoDBPedia
,
NanoFEVER
,
NanoFiQA2018
,
NanoHotpotQA
,
NanoMSMARCO
,
NanoNFCorpus
,
NanoNQ
,
NanoQuoraRetrieval
,
NanoSCIDOCS
,
NanoArguAna
,
NanoSciFact
and
NanoTouche2020
SparseInformationRetrievalEvaluator
| Metric | NanoMSMARCO | NanoNQ | NanoNFCorpus | NanoQuoraRetrieval | NanoClimateFEVER | NanoDBPedia | NanoFEVER | NanoFiQA2018 | NanoHotpotQA | NanoSCIDOCS | NanoArguAna | NanoSciFact | NanoTouche2020 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| dot_accuracy@1 | 0.22 | 0.38 | 0.34 | 0.94 | 0.18 | 0.6 | 0.58 | 0.28 | 0.78 | 0.36 | 0.1 | 0.52 | 0.3878 |
| dot_accuracy@3 | 0.42 | 0.54 | 0.5 | 0.98 | 0.32 | 0.84 | 0.76 | 0.42 | 0.84 | 0.58 | 0.34 | 0.62 | 0.7551 |
| dot_accuracy@5 | 0.52 | 0.62 | 0.54 | 0.98 | 0.4 | 0.84 | 0.8 | 0.46 | 0.92 | 0.68 | 0.42 | 0.64 | 0.8367 |
| dot_accuracy@10 | 0.76 | 0.62 | 0.58 | 0.98 | 0.48 | 0.92 | 0.86 | 0.5 | 0.98 | 0.76 | 0.44 | 0.76 | 0.9592 |
| dot_precision@1 | 0.22 | 0.38 | 0.34 | 0.94 | 0.18 | 0.6 | 0.58 | 0.28 | 0.78 | 0.36 | 0.1 | 0.52 | 0.3878 |
| dot_precision@3 | 0.14 | 0.18 | 0.3067 | 0.3933 | 0.1067 | 0.5267 | 0.2667 | 0.18 | 0.3733 | 0.2733 | 0.1133 | 0.2133 | 0.4694 |
| dot_precision@5 | 0.104 | 0.124 | 0.26 | 0.248 | 0.084 | 0.456 | 0.168 | 0.136 | 0.284 | 0.212 | 0.084 | 0.14 | 0.4163 |
| dot_precision@10 | 0.076 | 0.064 | 0.198 | 0.132 | 0.054 | 0.422 | 0.09 | 0.084 | 0.16 | 0.152 | 0.044 | 0.084 | 0.3388 |
| dot_recall@1 | 0.22 | 0.36 | 0.0116 | 0.8173 | 0.085 | 0.0457 | 0.5467 | 0.1418 | 0.39 | 0.0757 | 0.1 | 0.475 | 0.0238 |
| dot_recall@3 | 0.42 | 0.52 | 0.0606 | 0.928 | 0.1467 | 0.1537 | 0.7467 | 0.2429 | 0.56 | 0.1697 | 0.34 | 0.58 | 0.0893 |
| dot_recall@5 | 0.52 | 0.6 | 0.0826 | 0.946 | 0.1783 | 0.1908 | 0.7867 | 0.2772 | 0.71 | 0.2177 | 0.42 | 0.615 | 0.1288 |
| dot_recall@10 | 0.76 | 0.61 | 0.098 | 0.97 | 0.215 | 0.2936 | 0.8467 | 0.3289 | 0.8 | 0.3107 | 0.44 | 0.74 | 0.2166 |
| dot_ndcg@10 | 0.4532 | 0.4828 | 0.2467 | 0.9467 | 0.1845 | 0.5071 | 0.707 | 0.2881 | 0.7143 | 0.3029 | 0.2782 | 0.6021 | 0.3762 |
| dot_mrr@10 | 0.3601 | 0.4537 | 0.422 | 0.96 | 0.2674 | 0.7147 | 0.6765 | 0.3562 | 0.8362 | 0.4944 | 0.2247 | 0.5799 | 0.5807 |
| dot_map@100 | 0.3733 | 0.4454 | 0.094 | 0.9291 | 0.1476 | 0.3907 | 0.6651 | 0.2415 | 0.6181 | 0.2167 | 0.2333 | 0.5551 | 0.2561 |
| query_active_dims | 74.76 | 74.74 | 79.7 | 76.58 | 89.86 | 69.52 | 89.88 | 82.86 | 91.98 | 94.3 | 189.1 | 82.46 | 79.1225 |
| query_sparsity_ratio | 0.9976 | 0.9976 | 0.9974 | 0.9975 | 0.9971 | 0.9977 | 0.9971 | 0.9973 | 0.997 | 0.9969 | 0.9938 | 0.9973 | 0.9974 |
| corpus_active_dims | 103.0652 | 141.3148 | 202.1727 | 77.5906 | 221.7553 | 135.9335 | 221.2156 | 130.937 | 152.0157 | 199.6463 | 164.0333 | 194.2494 | 135.0078 |
| corpus_sparsity_ratio | 0.9966 | 0.9954 | 0.9934 | 0.9975 | 0.9927 | 0.9955 | 0.9928 | 0.9957 | 0.995 | 0.9935 | 0.9946 | 0.9936 | 0.9956 |
NanoBEIR_mean
SparseNanoBEIREvaluator
with these parameters:
{
"dataset_names": [
"msmarco",
"nq",
"nfcorpus",
"quoraretrieval"
]
}
| Metric | Value |
|---|---|
| dot_accuracy@1 | 0.47 |
| dot_accuracy@3 | 0.61 |
| dot_accuracy@5 | 0.665 |
| dot_accuracy@10 | 0.735 |
| dot_precision@1 | 0.47 |
| dot_precision@3 | 0.255 |
| dot_precision@5 | 0.184 |
| dot_precision@10 | 0.1175 |
| dot_recall@1 | 0.3522 |
| dot_recall@3 | 0.4821 |
| dot_recall@5 | 0.5372 |
| dot_recall@10 | 0.6095 |
| dot_ndcg@10 | 0.5324 |
| dot_mrr@10 | 0.5489 |
| dot_map@100 | 0.4605 |
| query_active_dims | 76.445 |
| query_sparsity_ratio | 0.9975 |
| corpus_active_dims | 122.7978 |
| corpus_sparsity_ratio | 0.996 |
NanoBEIR_mean
SparseNanoBEIREvaluator
with these parameters:
{
"dataset_names": [
"climatefever",
"dbpedia",
"fever",
"fiqa2018",
"hotpotqa",
"msmarco",
"nfcorpus",
"nq",
"quoraretrieval",
"scidocs",
"arguana",
"scifact",
"touche2020"
]
}
| Metric | Value |
|---|---|
| dot_accuracy@1 | 0.436 |
| dot_accuracy@3 | 0.6089 |
| dot_accuracy@5 | 0.6659 |
| dot_accuracy@10 | 0.7384 |
| dot_precision@1 | 0.436 |
| dot_precision@3 | 0.2725 |
| dot_precision@5 | 0.2089 |
| dot_precision@10 | 0.1461 |
| dot_recall@1 | 0.2533 |
| dot_recall@3 | 0.3813 |
| dot_recall@5 | 0.4364 |
| dot_recall@10 | 0.51 |
| dot_ndcg@10 | 0.4685 |
| dot_mrr@10 | 0.5328 |
| dot_map@100 | 0.3974 |
| query_active_dims | 90.3914 |
| query_sparsity_ratio | 0.997 |
| corpus_active_dims | 152.3669 |
| corpus_sparsity_ratio | 0.995 |
anchor
,
positive
, and
negative
| anchor | positive | negative | |
|---|---|---|---|
| type | string | string | string |
| details |
|
|
|
| anchor | positive | negative |
|---|---|---|
What are the best GMAT coaching institutes in Delhi NCR?
|
Which are the best GMAT coaching institutes in Delhi/NCR?
|
What are the best GMAT coaching institutes in Delhi-Noida Area?
|
Is a third world war coming?
|
Is World War 3 more imminent than expected?
|
Since the UN is unable to control terrorism and groups like ISIS, al-Qaeda and countries that promote terrorism (even though it consumed those countries), can we assume that the world is heading towards World War III?
|
Should I build iOS or Android apps first?
|
Should people choose Android or iOS first to build their App?
|
How much more effort is it to build your app on both iOS and Android?
|
SpladeLoss
with these parameters:
{
"loss": "SparseMultipleNegativesRankingLoss(scale=1.0, similarity_fct='dot_score')",
"lambda_corpus": 3e-05,
"lambda_query": 5e-05
}
anchor
,
positive
, and
negative
| anchor | positive | negative | |
|---|---|---|---|
| type | string | string | string |
| details |
|
|
|
| anchor | positive | negative |
|---|---|---|
What happens if we use petrol in diesel vehicles?
|
Why can't we use petrol in diesel?
|
Why are diesel engines noisier than petrol engines?
|
Why is Saltwater taffy candy imported in Switzerland?
|
Why is Saltwater taffy candy imported in Laos?
|
Is salt a consumer product?
|
Which is your favourite film in 2016?
|
What movie is the best movie of 2016?
|
What will the best movie of 2017 be?
|
SpladeLoss
with these parameters:
{
"loss": "SparseMultipleNegativesRankingLoss(scale=1.0, similarity_fct='dot_score')",
"lambda_corpus": 3e-05,
"lambda_query": 5e-05
}
eval_strategy
: steps
per_device_train_batch_size
: 12
per_device_eval_batch_size
: 12
learning_rate
: 2e-05
num_train_epochs
: 1
bf16
: True
load_best_model_at_end
: True
batch_sampler
: no_duplicates
overwrite_output_dir
: False
do_predict
: False
eval_strategy
: steps
prediction_loss_only
: True
per_device_train_batch_size
: 12
per_device_eval_batch_size
: 12
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
: 2e-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}
tp_size
: 0
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
| Epoch | Step | Training Loss | Validation Loss | quora_duplicates_dev_max_ap | NanoMSMARCO_dot_ndcg@10 | NanoNQ_dot_ndcg@10 | NanoNFCorpus_dot_ndcg@10 | NanoQuoraRetrieval_dot_ndcg@10 | NanoBEIR_mean_dot_ndcg@10 | NanoClimateFEVER_dot_ndcg@10 | NanoDBPedia_dot_ndcg@10 | NanoFEVER_dot_ndcg@10 | NanoFiQA2018_dot_ndcg@10 | NanoHotpotQA_dot_ndcg@10 | NanoSCIDOCS_dot_ndcg@10 | NanoArguAna_dot_ndcg@10 | NanoSciFact_dot_ndcg@10 | NanoTouche2020_dot_ndcg@10 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.0242 | 200 | 8.3389 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.0485 | 400 | 0.4397 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.0727 | 600 | 0.3737 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.0970 | 800 | 0.2666 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.1212 | 1000 | 0.288 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.1455 | 1200 | 0.1977 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.1697 | 1400 | 0.2707 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.1939 | 1600 | 0.1951 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.2 | 1650 | - | 0.1669 | 0.6472 | 0.3052 | 0.2793 | 0.1711 | 0.9281 | 0.4209 | - | - | - | - | - | - | - | - | - |
| 0.2182 | 1800 | 0.2178 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.2424 | 2000 | 0.2174 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.2667 | 2200 | 0.1832 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.2909 | 2400 | 0.1879 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.3152 | 2600 | 0.1723 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.3394 | 2800 | 0.1543 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.3636 | 3000 | 0.1559 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.3879 | 3200 | 0.1575 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.4 | 3300 | - | 0.1149 | 0.6749 | 0.3894 | 0.4467 | 0.2360 | 0.9292 | 0.5003 | - | - | - | - | - | - | - | - | - |
| 0.4121 | 3400 | 0.1395 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.4364 | 3600 | 0.1596 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.4606 | 3800 | 0.1595 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.4848 | 4000 | 0.1211 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.5091 | 4200 | 0.1163 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.5333 | 4400 | 0.1182 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.5576 | 4600 | 0.1337 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.5818 | 4800 | 0.1362 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.6 | 4950 | - | 0.1001 | 0.6802 | 0.4093 | 0.4269 | 0.2341 | 0.9365 | 0.5017 | - | - | - | - | - | - | - | - | - |
| 0.6061 | 5000 | 0.1112 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.6303 | 5200 | 0.1064 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.6545 | 5400 | 0.119 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.6788 | 5600 | 0.1077 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.7030 | 5800 | 0.1398 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.7273 | 6000 | 0.09 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.7515 | 6200 | 0.0903 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.7758 | 6400 | 0.1082 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.8 | 6600 | 0.1122 | 0.0901 | 0.6941 | 0.4451 | 0.4757 | 0.2542 | 0.9411 | 0.5290 | - | - | - | - | - | - | - | - | - |
| 0.8242 | 6800 | 0.0708 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.8485 | 7000 | 0.1291 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.8727 | 7200 | 0.1165 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.8970 | 7400 | 0.0735 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.9212 | 7600 | 0.0775 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.9455 | 7800 | 0.0945 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.9697 | 8000 | 0.0912 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 0.9939 | 8200 | 0.104 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 1.0 | 8250 | - | 0.0686 | 0.6888 | 0.4532 | 0.4828 | 0.2467 | 0.9467 | 0.5324 | - | - | - | - | - | - | - | - | - |
| -1 | -1 | - | - | - | 0.4532 | 0.4828 | 0.2467 | 0.9467 | 0.4685 | 0.1845 | 0.5071 | 0.7070 | 0.2881 | 0.7143 | 0.3029 | 0.2782 | 0.6021 | 0.3762 |
Carbon emissions were measured using CodeCarbon .
@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",
}
@misc{formal2022distillationhardnegativesampling,
title={From Distillation to Hard Negative Sampling: Making Sparse Neural IR Models More Effective},
author={Thibault Formal and Carlos Lassance and Benjamin Piwowarski and Stéphane Clinchant},
year={2022},
eprint={2205.04733},
archivePrefix={arXiv},
primaryClass={cs.IR},
url={https://arxiv.org/abs/2205.04733},
}
@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}
}
@article{paria2020minimizing,
title={Minimizing flops to learn efficient sparse representations},
author={Paria, Biswajit and Yeh, Chih-Kuan and Yen, Ian EH and Xu, Ning and Ravikumar, Pradeep and P{'o}czos, Barnab{'a}s},
journal={arXiv preprint arXiv:2004.05665},
year={2020}
}
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