csr-mxbai-embed-large-v1-nq-2 / README.md

Add new SparseEncoder model

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	---
	language:
	- en
	license: apache-2.0
	tags:
	- sentence-transformers
	- sparse-encoder
	- sparse
	- csr
	- generated_from_trainer
	- dataset_size:99000
	- loss:CSRLoss
	- loss:SparseMultipleNegativesRankingLoss
	base_model: mixedbread-ai/mxbai-embed-large-v1
	widget:
	- text: Saudi Arabia–United Arab Emirates relations However, the UAE and Saudi Arabia
	continue to take somewhat differing stances on regional conflicts such the Yemeni
	Civil War, where the UAE opposes Al-Islah, and supports the Southern Movement,
	which has fought against Saudi-backed forces, and the Syrian Civil War, where
	the UAE has disagreed with Saudi support for Islamist movements.[4]
	- text: Economy of New Zealand New Zealand's diverse market economy has a sizable
	service sector, accounting for 63% of all GDP activity in 2013.[17] Large scale
	manufacturing industries include aluminium production, food processing, metal
	fabrication, wood and paper products. Mining, manufacturing, electricity, gas,
	water, and waste services accounted for 16.5% of GDP in 2013.[17] The primary
	sector continues to dominate New Zealand's exports, despite accounting for 6.5%
	of GDP in 2013.[17]
	- text: who was the first president of indian science congress meeting held in kolkata
	in 1914
	- text: Get Over It (Eagles song) "Get Over It" is a song by the Eagles released as
	a single after a fourteen-year breakup. It was also the first song written by
	bandmates Don Henley and Glenn Frey when the band reunited. "Get Over It" was
	played live for the first time during their Hell Freezes Over tour in 1994. It
	returned the band to the U.S. Top 40 after a fourteen-year absence, peaking at
	No. 31 on the Billboard Hot 100 chart. It also hit No. 4 on the Billboard Mainstream
	Rock Tracks chart. The song was not played live by the Eagles after the "Hell
	Freezes Over" tour in 1994. It remains the group's last Top 40 hit in the U.S.
	- text: '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.'
	datasets:
	- sentence-transformers/natural-questions
	pipeline_tag: feature-extraction
	library_name: sentence-transformers
	metrics:
	- cosine_accuracy@1
	- cosine_accuracy@3
	- cosine_accuracy@5
	- cosine_accuracy@10
	- cosine_precision@1
	- cosine_precision@3
	- cosine_precision@5
	- cosine_precision@10
	- cosine_recall@1
	- cosine_recall@3
	- cosine_recall@5
	- cosine_recall@10
	- cosine_ndcg@10
	- cosine_mrr@10
	- cosine_map@100
	- query_active_dims
	- query_sparsity_ratio
	- corpus_active_dims
	- corpus_sparsity_ratio
	co2_eq_emissions:
	emissions: 40.42372184623099
	energy_consumed: 0.10399669115731586
	source: codecarbon
	training_type: fine-tuning
	on_cloud: false
	cpu_model: 13th Gen Intel(R) Core(TM) i7-13700K
	ram_total_size: 31.777088165283203
	hours_used: 0.26
	hardware_used: 1 x NVIDIA GeForce RTX 3090
	model-index:
	- name: Sparse CSR model trained on Natural Questions
	results:
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 4
	type: nq_eval_4
	metrics:
	- type: cosine_accuracy@1
	value: 0.31
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.473
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.542
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.646
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.31
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.15766666666666665
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.1084
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.06459999999999999
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.31
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.473
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.542
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.646
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.4684067906814767
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.4128293650793652
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.4224240587788511
	name: Cosine Map@100
	- type: query_active_dims
	value: 4.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.9990234375
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 4.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.9990234375
	name: Corpus Sparsity Ratio
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 8
	type: nq_eval_8
	metrics:
	- type: cosine_accuracy@1
	value: 0.506
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.675
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.742
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.819
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.506
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.225
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.14839999999999998
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.0819
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.506
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.675
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.742
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.819
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.6589725910920494
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.6082432539682538
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.6139515995984552
	name: Cosine Map@100
	- type: query_active_dims
	value: 8.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.998046875
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 8.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.998046875
	name: Corpus Sparsity Ratio
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 16
	type: nq_eval_16
	metrics:
	- type: cosine_accuracy@1
	value: 0.696
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.853
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.891
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.921
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.696
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.2843333333333333
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.17820000000000003
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.09210000000000002
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.696
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.853
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.891
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.921
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.8130203853693561
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.7777392857142861
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.78096773429733
	name: Cosine Map@100
	- type: query_active_dims
	value: 16.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.99609375
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 16.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.99609375
	name: Corpus Sparsity Ratio
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 32
	type: nq_eval_32
	metrics:
	- type: cosine_accuracy@1
	value: 0.796
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.932
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.957
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.975
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.796
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.31066666666666665
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.19140000000000004
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.09750000000000002
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.796
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.932
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.957
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.975
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.8949430953203434
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.8682769841269843
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.8695035944590409
	name: Cosine Map@100
	- type: query_active_dims
	value: 32.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.9921875
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 32.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.9921875
	name: Corpus Sparsity Ratio
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 64
	type: nq_eval_64
	metrics:
	- type: cosine_accuracy@1
	value: 0.9
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.968
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.979
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.988
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.9
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.3226666666666666
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.19580000000000003
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.09880000000000001
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.9
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.968
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.979
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.988
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.9474833444977032
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.9340369047619049
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.9345243389721143
	name: Cosine Map@100
	- type: query_active_dims
	value: 64.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.984375
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 64.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.984375
	name: Corpus Sparsity Ratio
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 128
	type: nq_eval_128
	metrics:
	- type: cosine_accuracy@1
	value: 0.922
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.982
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.984
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.989
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.922
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.32733333333333325
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.19680000000000006
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.0989
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.922
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.982
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.984
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.989
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.9608137526283965
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.9512484126984128
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.951728611125746
	name: Cosine Map@100
	- type: query_active_dims
	value: 128.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.96875
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 128.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.96875
	name: Corpus Sparsity Ratio
	- task:
	type: sparse-information-retrieval
	name: Sparse Information Retrieval
	dataset:
	name: nq eval 256
	type: nq_eval_256
	metrics:
	- type: cosine_accuracy@1
	value: 0.938
	name: Cosine Accuracy@1
	- type: cosine_accuracy@3
	value: 0.986
	name: Cosine Accuracy@3
	- type: cosine_accuracy@5
	value: 0.988
	name: Cosine Accuracy@5
	- type: cosine_accuracy@10
	value: 0.991
	name: Cosine Accuracy@10
	- type: cosine_precision@1
	value: 0.938
	name: Cosine Precision@1
	- type: cosine_precision@3
	value: 0.3286666666666666
	name: Cosine Precision@3
	- type: cosine_precision@5
	value: 0.19760000000000003
	name: Cosine Precision@5
	- type: cosine_precision@10
	value: 0.09910000000000001
	name: Cosine Precision@10
	- type: cosine_recall@1
	value: 0.938
	name: Cosine Recall@1
	- type: cosine_recall@3
	value: 0.986
	name: Cosine Recall@3
	- type: cosine_recall@5
	value: 0.988
	name: Cosine Recall@5
	- type: cosine_recall@10
	value: 0.991
	name: Cosine Recall@10
	- type: cosine_ndcg@10
	value: 0.9692313969692871
	name: Cosine Ndcg@10
	- type: cosine_mrr@10
	value: 0.9617595238095238
	name: Cosine Mrr@10
	- type: cosine_map@100
	value: 0.9621392315329386
	name: Cosine Map@100
	- type: query_active_dims
	value: 256.0
	name: Query Active Dims
	- type: query_sparsity_ratio
	value: 0.9375
	name: Query Sparsity Ratio
	- type: corpus_active_dims
	value: 256.0
	name: Corpus Active Dims
	- type: corpus_sparsity_ratio
	value: 0.9375
	name: Corpus Sparsity Ratio
	---

	# Sparse CSR model trained on Natural Questions

	This is a [CSR Sparse Encoder](https://www.sbert.net/docs/sparse_encoder/usage/usage.html) model finetuned from [mixedbread-ai/mxbai-embed-large-v1](https://huggingface.co/mixedbread-ai/mxbai-embed-large-v1) on the [natural-questions](https://huggingface.co/datasets/sentence-transformers/natural-questions) dataset using the [sentence-transformers](https://www.SBERT.net) 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](https://huggingface.co/mixedbread-ai/mxbai-embed-large-v1) <!-- at revision db9d1fe0f31addb4978201b2bf3e577f3f8900d2 -->
	- Maximum Sequence Length: 512 tokens
	- Output Dimensionality: 4096 dimensions (trained with 256 maximum active dimensions)
	- Similarity Function: Cosine Similarity
	- Training Dataset:
	- [natural-questions](https://huggingface.co/datasets/sentence-transformers/natural-questions)
	- Language: en
	- License: apache-2.0

	### Model Sources

	- Documentation: [Sentence Transformers Documentation](https://sbert.net)
	- Documentation: [Sparse Encoder Documentation](https://www.sbert.net/docs/sparse_encoder/usage/usage.html)
	- Repository: [Sentence Transformers on GitHub](https://github.com/UKPLab/sentence-transformers)
	- Hugging Face: [Sparse Encoders on Hugging Face](https://huggingface.co/models?library=sentence-transformers&other=sparse-encoder)

	### 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:

	```bash
	pip install -U sentence-transformers
	```

	Then you can load this model and run inference.
	```python
	from sentence_transformers import SparseEncoder

	# Download from the 🤗 Hub
	model = SparseEncoder("tomaarsen/csr-mxbai-embed-large-v1-nq-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([[0.6368, 0.1692, 0.1661]])
	```

	<!--
	### Direct Usage (Transformers)

	<details><summary>Click to see the direct usage in Transformers</summary>

	</details>
	-->

	<!--
	### Downstream Usage (Sentence Transformers)

	You can finetune this model on your own dataset.

	<details><summary>Click to expand</summary>

	</details>
	-->

	<!--
	### Out-of-Scope Use

	List how the model may foreseeably be misused and address what users ought not to do with the model.
	-->

	## Evaluation

	### Metrics

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_4`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 4
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:-----------\|
	\| cosine_accuracy@1 \| 0.31 \|
	\| cosine_accuracy@3 \| 0.473 \|
	\| cosine_accuracy@5 \| 0.542 \|
	\| cosine_accuracy@10 \| 0.646 \|
	\| cosine_precision@1 \| 0.31 \|
	\| cosine_precision@3 \| 0.1577 \|
	\| cosine_precision@5 \| 0.1084 \|
	\| cosine_precision@10 \| 0.0646 \|
	\| cosine_recall@1 \| 0.31 \|
	\| cosine_recall@3 \| 0.473 \|
	\| cosine_recall@5 \| 0.542 \|
	\| cosine_recall@10 \| 0.646 \|
	\| cosine_ndcg@10 \| 0.4684 \|
	\| cosine_mrr@10 \| 0.4128 \|
	\| cosine_map@100 \| 0.4224 \|
	\| query_active_dims \| 4.0 \|
	\| query_sparsity_ratio \| 0.999 \|
	\| corpus_active_dims \| 4.0 \|
	\| corpus_sparsity_ratio \| 0.999 \|

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_8`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 8
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:----------\|
	\| cosine_accuracy@1 \| 0.506 \|
	\| cosine_accuracy@3 \| 0.675 \|
	\| cosine_accuracy@5 \| 0.742 \|
	\| cosine_accuracy@10 \| 0.819 \|
	\| cosine_precision@1 \| 0.506 \|
	\| cosine_precision@3 \| 0.225 \|
	\| cosine_precision@5 \| 0.1484 \|
	\| cosine_precision@10 \| 0.0819 \|
	\| cosine_recall@1 \| 0.506 \|
	\| cosine_recall@3 \| 0.675 \|
	\| cosine_recall@5 \| 0.742 \|
	\| cosine_recall@10 \| 0.819 \|
	\| cosine_ndcg@10 \| 0.659 \|
	\| cosine_mrr@10 \| 0.6082 \|
	\| cosine_map@100 \| 0.614 \|
	\| query_active_dims \| 8.0 \|
	\| query_sparsity_ratio \| 0.998 \|
	\| corpus_active_dims \| 8.0 \|
	\| corpus_sparsity_ratio \| 0.998 \|

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_16`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 16
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:----------\|
	\| cosine_accuracy@1 \| 0.696 \|
	\| cosine_accuracy@3 \| 0.853 \|
	\| cosine_accuracy@5 \| 0.891 \|
	\| cosine_accuracy@10 \| 0.921 \|
	\| cosine_precision@1 \| 0.696 \|
	\| cosine_precision@3 \| 0.2843 \|
	\| cosine_precision@5 \| 0.1782 \|
	\| cosine_precision@10 \| 0.0921 \|
	\| cosine_recall@1 \| 0.696 \|
	\| cosine_recall@3 \| 0.853 \|
	\| cosine_recall@5 \| 0.891 \|
	\| cosine_recall@10 \| 0.921 \|
	\| cosine_ndcg@10 \| 0.813 \|
	\| cosine_mrr@10 \| 0.7777 \|
	\| cosine_map@100 \| 0.781 \|
	\| query_active_dims \| 16.0 \|
	\| query_sparsity_ratio \| 0.9961 \|
	\| corpus_active_dims \| 16.0 \|
	\| corpus_sparsity_ratio \| 0.9961 \|

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_32`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 32
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:-----------\|
	\| cosine_accuracy@1 \| 0.796 \|
	\| cosine_accuracy@3 \| 0.932 \|
	\| cosine_accuracy@5 \| 0.957 \|
	\| cosine_accuracy@10 \| 0.975 \|
	\| cosine_precision@1 \| 0.796 \|
	\| cosine_precision@3 \| 0.3107 \|
	\| cosine_precision@5 \| 0.1914 \|
	\| cosine_precision@10 \| 0.0975 \|
	\| cosine_recall@1 \| 0.796 \|
	\| cosine_recall@3 \| 0.932 \|
	\| cosine_recall@5 \| 0.957 \|
	\| cosine_recall@10 \| 0.975 \|
	\| cosine_ndcg@10 \| 0.8949 \|
	\| cosine_mrr@10 \| 0.8683 \|
	\| cosine_map@100 \| 0.8695 \|
	\| query_active_dims \| 32.0 \|
	\| query_sparsity_ratio \| 0.9922 \|
	\| corpus_active_dims \| 32.0 \|
	\| corpus_sparsity_ratio \| 0.9922 \|

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_64`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 64
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:-----------\|
	\| cosine_accuracy@1 \| 0.9 \|
	\| cosine_accuracy@3 \| 0.968 \|
	\| cosine_accuracy@5 \| 0.979 \|
	\| cosine_accuracy@10 \| 0.988 \|
	\| cosine_precision@1 \| 0.9 \|
	\| cosine_precision@3 \| 0.3227 \|
	\| cosine_precision@5 \| 0.1958 \|
	\| cosine_precision@10 \| 0.0988 \|
	\| cosine_recall@1 \| 0.9 \|
	\| cosine_recall@3 \| 0.968 \|
	\| cosine_recall@5 \| 0.979 \|
	\| cosine_recall@10 \| 0.988 \|
	\| cosine_ndcg@10 \| 0.9475 \|
	\| cosine_mrr@10 \| 0.934 \|
	\| cosine_map@100 \| 0.9345 \|
	\| query_active_dims \| 64.0 \|
	\| query_sparsity_ratio \| 0.9844 \|
	\| corpus_active_dims \| 64.0 \|
	\| corpus_sparsity_ratio \| 0.9844 \|

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_128`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 128
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:-----------\|
	\| cosine_accuracy@1 \| 0.922 \|
	\| cosine_accuracy@3 \| 0.982 \|
	\| cosine_accuracy@5 \| 0.984 \|
	\| cosine_accuracy@10 \| 0.989 \|
	\| cosine_precision@1 \| 0.922 \|
	\| cosine_precision@3 \| 0.3273 \|
	\| cosine_precision@5 \| 0.1968 \|
	\| cosine_precision@10 \| 0.0989 \|
	\| cosine_recall@1 \| 0.922 \|
	\| cosine_recall@3 \| 0.982 \|
	\| cosine_recall@5 \| 0.984 \|
	\| cosine_recall@10 \| 0.989 \|
	\| cosine_ndcg@10 \| 0.9608 \|
	\| cosine_mrr@10 \| 0.9512 \|
	\| cosine_map@100 \| 0.9517 \|
	\| query_active_dims \| 128.0 \|
	\| query_sparsity_ratio \| 0.9688 \|
	\| corpus_active_dims \| 128.0 \|
	\| corpus_sparsity_ratio \| 0.9688 \|

	#### Sparse Information Retrieval

	* Dataset: `nq_eval_256`
	* Evaluated with [<code>SparseInformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sparse_encoder/evaluation.html#sentence_transformers.sparse_encoder.evaluation.SparseInformationRetrievalEvaluator) with these parameters:
	```json
	{
	"max_active_dims": 256
	}
	```

	\| Metric \| Value \|
	\|:----------------------\|:-----------\|
	\| cosine_accuracy@1 \| 0.938 \|
	\| cosine_accuracy@3 \| 0.986 \|
	\| cosine_accuracy@5 \| 0.988 \|
	\| cosine_accuracy@10 \| 0.991 \|
	\| cosine_precision@1 \| 0.938 \|
	\| cosine_precision@3 \| 0.3287 \|
	\| cosine_precision@5 \| 0.1976 \|
	\| cosine_precision@10 \| 0.0991 \|
	\| cosine_recall@1 \| 0.938 \|
	\| cosine_recall@3 \| 0.986 \|
	\| cosine_recall@5 \| 0.988 \|
	\| cosine_recall@10 \| 0.991 \|
	\| cosine_ndcg@10 \| 0.9692 \|
	\| cosine_mrr@10 \| 0.9618 \|
	\| cosine_map@100 \| 0.9621 \|
	\| query_active_dims \| 256.0 \|
	\| query_sparsity_ratio \| 0.9375 \|
	\| corpus_active_dims \| 256.0 \|
	\| corpus_sparsity_ratio \| 0.9375 \|

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	## Training Details

	### Training Dataset

	#### natural-questions

	* Dataset: [natural-questions](https://huggingface.co/datasets/sentence-transformers/natural-questions) at [f9e894e](https://huggingface.co/datasets/sentence-transformers/natural-questions/tree/f9e894e1081e206e577b4eaa9ee6de2b06ae6f17)
	* Size: 99,000 training samples
	* Columns: <code>query</code> and <code>answer</code>
	* Approximate statistics based on the first 1000 samples:
	\| \| query \| answer \|
	\|:--------\|:-----------------------------------------------------------------------------------\|:------------------------------------------------------------------------------------\|
	\| type \| string \| string \|
	\| details \| <ul><li>min: 10 tokens</li><li>mean: 11.71 tokens</li><li>max: 26 tokens</li></ul> \| <ul><li>min: 4 tokens</li><li>mean: 131.81 tokens</li><li>max: 450 tokens</li></ul> \|
	* Samples:
	\| query \| answer \|
	\|:--------------------------------------------------------------\|:----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------\|
	\| <code>who played the father in papa don't preach</code> \| <code>Alex McArthur Alex McArthur (born March 6, 1957) is an American actor.</code> \|
	\| <code>where was the location of the battle of hastings</code> \| <code>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.</code> \|
	\| <code>how many puppies can a dog give birth to</code> \| <code>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]</code> \|
	* Loss: [<code>CSRLoss</code>](https://sbert.net/docs/package_reference/sparse_encoder/losses.html#csrloss) with these parameters:
	```json
	{
	"beta": 0.1,
	"gamma": 0.1,
	"loss": "SparseMultipleNegativesRankingLoss(scale=20.0, similarity_fct='cos_sim')"
	}
	```

	### Evaluation Dataset

	#### natural-questions

	* Dataset: [natural-questions](https://huggingface.co/datasets/sentence-transformers/natural-questions) at [f9e894e](https://huggingface.co/datasets/sentence-transformers/natural-questions/tree/f9e894e1081e206e577b4eaa9ee6de2b06ae6f17)
	* Size: 1,000 evaluation samples
	* Columns: <code>query</code> and <code>answer</code>
	* Approximate statistics based on the first 1000 samples:
	\| \| query \| answer \|
	\|:--------\|:-----------------------------------------------------------------------------------\|:-------------------------------------------------------------------------------------\|
	\| type \| string \| string \|
	\| details \| <ul><li>min: 10 tokens</li><li>mean: 11.69 tokens</li><li>max: 23 tokens</li></ul> \| <ul><li>min: 15 tokens</li><li>mean: 134.01 tokens</li><li>max: 512 tokens</li></ul> \|
	* Samples:
	\| query \| answer \|
	\|:-------------------------------------------------------\|:-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------\|
	\| <code>where is the tiber river located in italy</code> \| <code>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.</code> \|
	\| <code>what kind of car does jay gatsby drive</code> \| <code>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.</code> \|
	\| <code>who sings if i can dream about you</code> \| <code>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]</code> \|
	* Loss: [<code>CSRLoss</code>](https://sbert.net/docs/package_reference/sparse_encoder/losses.html#csrloss) with these parameters:
	```json
	{
	"beta": 0.1,
	"gamma": 0.1,
	"loss": "SparseMultipleNegativesRankingLoss(scale=20.0, similarity_fct='cos_sim')"
	}
	```

	### 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
	- `batch_sampler`: no_duplicates

	#### All Hyperparameters
	<details><summary>Click to expand</summary>

	- `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`: 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`: 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`: {}

	</details>

	### Training Logs
	\| Epoch \| Step \| Training Loss \| Validation Loss \| nq_eval_4_cosine_ndcg@10 \| nq_eval_8_cosine_ndcg@10 \| nq_eval_16_cosine_ndcg@10 \| nq_eval_32_cosine_ndcg@10 \| nq_eval_64_cosine_ndcg@10 \| nq_eval_128_cosine_ndcg@10 \| nq_eval_256_cosine_ndcg@10 \|
	\|:------:\|:----:\|:-------------:\|:---------------:\|:------------------------:\|:------------------------:\|:-------------------------:\|:-------------------------:\|:-------------------------:\|:--------------------------:\|:--------------------------:\|
	\| -1 \| -1 \| - \| - \| 0.2499 \| 0.4212 \| 0.6606 \| 0.8510 \| 0.9370 \| 0.9650 \| 0.9709 \|
	\| 0.0646 \| 100 \| 0.3173 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.1293 \| 200 \| 0.2771 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.1939 \| 300 \| 0.2649 \| 0.2495 \| 0.3804 \| 0.6027 \| 0.7670 \| 0.8868 \| 0.9370 \| 0.9592 \| 0.9683 \|
	\| 0.2586 \| 400 \| 0.2575 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.3232 \| 500 \| 0.2527 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.3878 \| 600 \| 0.2491 \| 0.2361 \| 0.4373 \| 0.6326 \| 0.7971 \| 0.8939 \| 0.9403 \| 0.9563 \| 0.9664 \|
	\| 0.4525 \| 700 \| 0.2462 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.5171 \| 800 \| 0.2428 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.5818 \| 900 \| 0.2412 \| 0.2298 \| 0.4553 \| 0.6506 \| 0.8003 \| 0.8943 \| 0.9438 \| 0.9591 \| 0.9683 \|
	\| 0.6464 \| 1000 \| 0.24 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.7111 \| 1100 \| 0.238 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.7757 \| 1200 \| 0.2375 \| 0.2264 \| 0.4654 \| 0.6586 \| 0.8040 \| 0.9000 \| 0.9468 \| 0.9617 \| 0.9686 \|
	\| 0.8403 \| 1300 \| 0.2372 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.9050 \| 1400 \| 0.236 \| - \| - \| - \| - \| - \| - \| - \| - \|
	\| 0.9696 \| 1500 \| 0.2362 \| 0.2253 \| 0.4697 \| 0.6600 \| 0.8119 \| 0.8938 \| 0.9449 \| 0.9609 \| 0.9705 \|
	\| -1 \| -1 \| - \| - \| 0.4684 \| 0.6590 \| 0.8130 \| 0.8949 \| 0.9475 \| 0.9608 \| 0.9692 \|


	### Environmental Impact
	Carbon emissions were measured using [CodeCarbon](https://github.com/mlco2/codecarbon).
	- Energy Consumed: 0.104 kWh
	- Carbon Emitted: 0.040 kg of CO2
	- Hours Used: 0.26 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: 2.7.1+cu126
	- Accelerate: 1.5.1
	- Datasets: 2.21.0
	- Tokenizers: 0.21.1

	## Citation

	### BibTeX

	#### Sentence Transformers
	```bibtex
	@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
	```bibtex
	@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
	```bibtex
	@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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