SentenceTransformer
This is a sentence-transformers model trained on the train_set dataset. It maps sentences & paragraphs to a 1024-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.
Model Details
- Learning other languages โโbesides Chinese and English is insufficient, so additional learning is needed to optimize use of other languages.
- This model is additionally trained on the Korean dataset.
Model Description
- Model Type: Sentence Transformer Transformer Encoder
- Maximum Sequence Length: 8192 tokens
- Output Dimensionality: 1024 tokens
- Similarity Function: Cosine Similarity
Model Sources
- Documentation: Sentence Transformers Documentation
- Repository: Sentence Transformers on GitHub
- Hugging Face: Sentence Transformers on Hugging Face
Full Model Architecture
SentenceTransformer(
(0): Transformer({'max_seq_length': 8192, 'do_lower_case': False}) with Transformer model: XLMRobertaModel
(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): 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 ๐ค Hub
model = SentenceTransformer("dragonkue/bge-m3-ko")
# Run inference
sentences = [
'์๊ธ๊ถ์ ์ค ๊ทผ๋ก ๋ฅ๋ ฅ์ด ์๋ ์์ฐ๋ถ๋ ๋ช ์ข
์ ํด๋นํ๋?',
'๋ด๋
๋ถํฐ ์ ์๋์ธต 1์ธ ๋ฏธ๋ง ์๋์ \n์๋ฃ๋น ๋ถ๋ด์ด ๋ ๋ฎ์์ง๋ค!\n์๋ฃ๊ธ์ฌ์ ๋ ๊ฐ์\nโก (๋ชฉ์ ) ์ํ์ ์ง ๋ฅ๋ ฅ์ด ์๊ฑฐ๋ ์ํ์ด ์ด๋ ค์ด ๊ตญ๋ฏผ๋ค์๊ฒ ๋ฐ์ํ๋ ์ง๋ณ, ๋ถ์, ์ถ์ฐ ๋ฑ์ ๋ํด ๊ตญ๊ฐ๊ฐ ์๋ฃ์๋น์ค ์ ๊ณต\nโก (์ง์๋์) ๊ตญ๋ฏผ๊ธฐ์ด์ํ๋ณด์ฅ ์๊ธ๊ถ์, ํ ๋ฒ์ ์ํ ์๊ธ๊ถ์ ๋ฑ\n\n| ๊ตฌ๋ถ | ๊ตญ๋ฏผ๊ธฐ์ด์ํ๋ณด์ฅ๋ฒ์ ์ํ ์๊ธ๊ถ์ | ๊ตญ๋ฏผ๊ธฐ์ด์ํ๋ณด์ฅ๋ฒ ์ด์ธ์ ํ ๋ฒ์ ์ํ ์๊ธ๊ถ์ |\n| --- | --- | --- |\n| 1์ข
| โ ๊ตญ๋ฏผ๊ธฐ์ด์ํ๋ณด์ฅ ์๊ธ๊ถ์ ์ค ๊ทผ๋ก๋ฅ๋ ฅ์ด ์๋ ์๋ง์ผ๋ก ๊ตฌ์ฑ๋ ๊ฐ๊ตฌ - 18์ธ ๋ฏธ๋ง, 65์ธ ์ด์ - 4๊ธ ์ด๋ด ์ฅ์ ์ธ - ์์ฐ๋ถ, ๋ณ์ญ์๋ฌด์ดํ์ ๋ฑ | โ ์ด์ฌ๋ฏผ(์ฌํด๊ตฌํธ๋ฒ) โ ์์์ ๋ฐ ์์ฌ์์ ์ ์กฑโ ๊ตญ๋ด ์
์๋ 18์ธ ๋ฏธ๋ง ์๋โ ๊ตญ๊ฐ์ ๊ณต์ ๋ฐ ๊ทธ ์ ์กฑโค๊ฐ์กฑโ ๊ตญ๊ฐ๋ฌดํ๋ฌธํ์ฌ ๋ณด์ ์ ๋ฐ ๊ทธ ๊ฐ์กฑโ ์ํฐ๋ฏผ(๋ถํ์ดํ์ฃผ๋ฏผ)๊ณผ ๊ทธ ๊ฐ์กฑโ 5โค18 ๋ฏผ์ฃผํ์ด๋ ๊ด๋ จ์ ๋ฐ ๊ทธ ์ ๊ฐ์กฑโ ๋
ธ์์ธ โป ํ๋ คํ์ (์๋ฃ๊ธ์ฌ๋ฒ ์ํ๋ น) |\n| 2์ข
| โ ๊ตญ๋ฏผ๊ธฐ์ด์ํ๋ณด์ฅ ์๊ธ๊ถ์ ์ค ๊ทผ๋ก๋ฅ๋ ฅ์ด ์๋ ๊ฐ๊ตฌ | - |\n',
'์ด์ด ์ด๋ ์คํ 1์30๋ถ๋ถํฐ ์ด๋ฆด ์์ ์ด๋ ์ค๋
ธ๋ณด๋ ์ฌ์ ์ฌ๋กํ์คํ์ผ ์์ ๊ฒฝ๊ธฐ๋ ์ฐ๊ธฐ๋ฅผ ๊ฑฐ๋ญํ๋ค ์ทจ์๋๋ค. ์กฐ์ง์๋ ์์ ์์ด ๋ค์ ๋ ๊ฒฐ์ ์์ ์ฐธ๊ฐ์ 27๋ช
์ด ํ๋ฒ์ ๊ฒฝ๊ธฐํด ์์๋ฅผ ๊ฐ๋ฆฌ๊ธฐ๋ก ํ๋ค.',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 1024]
# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities.shape)
# [3, 3]
Evaluation
Metrics
- ndcg, mrr, map metrics are metrics that consider ranking, while accuracy, precision, and recall are metrics that do not consider ranking. (Example: When considering ranking for retrieval top 10, different scores are given when the correct document is in 1st place and when it is in 10th place. However, accuracy, precision, and recall scores are the same if they are in the top 10.)
Information Retrieval
- Korean Embedding Benchmark is a benchmark with a relatively long 3/4 quantile of string length of 1024
Korean Embedding Benchmark with AutoRAG
This is a benchmark of Korean embedding models. (https://github.com/Marker-Inc-Korea/AutoRAG-example-korean-embedding-benchmark)
- Top-k 1
| Model name | F1 | Recall | Precision | mAP | mRR | NDCG |
|---|---|---|---|---|---|---|
| paraphrase-multilingual-mpnet-base-v2 | 0.3596 | 0.3596 | 0.3596 | 0.3596 | 0.3596 | 0.3596 |
| KoSimCSE-roberta | 0.4298 | 0.4298 | 0.4298 | 0.4298 | 0.4298 | 0.4298 |
| Cohere embed-multilingual-v3.0 | 0.3596 | 0.3596 | 0.3596 | 0.3596 | 0.3596 | 0.3596 |
| openai ada 002 | 0.4737 | 0.4737 | 0.4737 | 0.4737 | 0.4737 | 0.4737 |
| multilingual-e5-large-instruct | 0.4649 | 0.4649 | 0.4649 | 0.4649 | 0.4649 | 0.4649 |
| Upstage Embedding | 0.6579 | 0.6579 | 0.6579 | 0.6579 | 0.6579 | 0.6579 |
| paraphrase-multilingual-MiniLM-L12-v2 | 0.2982 | 0.2982 | 0.2982 | 0.2982 | 0.2982 | 0.2982 |
| openai_embed_3_small | 0.5439 | 0.5439 | 0.5439 | 0.5439 | 0.5439 | 0.5439 |
| ko-sroberta-multitask | 0.4211 | 0.4211 | 0.4211 | 0.4211 | 0.4211 | 0.4211 |
| openai_embed_3_large | 0.6053 | 0.6053 | 0.6053 | 0.6053 | 0.6053 | 0.6053 |
| KU-HIAI-ONTHEIT-large-v1 | 0.7105 | 0.7105 | 0.7105 | 0.7105 | 0.7105 | 0.7105 |
| KU-HIAI-ONTHEIT-large-v1.1 | 0.7193 | 0.7193 | 0.7193 | 0.7193 | 0.7193 | 0.7193 |
| kf-deberta-multitask | 0.4561 | 0.4561 | 0.4561 | 0.4561 | 0.4561 | 0.4561 |
| gte-multilingual-base | 0.5877 | 0.5877 | 0.5877 | 0.5877 | 0.5877 | 0.5877 |
| KoE5 | 0.7018 | 0.7018 | 0.7018 | 0.7018 | 0.7018 | 0.7018 |
| BGE-m3 | 0.6578 | 0.6578 | 0.6578 | 0.6578 | 0.6578 | 0.6578 |
| bge-m3-korean | 0.5351 | 0.5351 | 0.5351 | 0.5351 | 0.5351 | 0.5351 |
| BGE-m3-ko | 0.7456 | 0.7456 | 0.7456 | 0.7456 | 0.7456 | 0.7456 |
- Top-k 3
| Model name | F1 | Recall | Precision | mAP | mRR | NDCG |
|---|---|---|---|---|---|---|
| paraphrase-multilingual-mpnet-base-v2 | 0.2368 | 0.4737 | 0.1579 | 0.2032 | 0.2032 | 0.2712 |
| KoSimCSE-roberta | 0.3026 | 0.6053 | 0.2018 | 0.2661 | 0.2661 | 0.3515 |
| Cohere embed-multilingual-v3.0 | 0.2851 | 0.5702 | 0.1901 | 0.2515 | 0.2515 | 0.3321 |
| openai ada 002 | 0.3553 | 0.7105 | 0.2368 | 0.3202 | 0.3202 | 0.4186 |
| multilingual-e5-large-instruct | 0.3333 | 0.6667 | 0.2222 | 0.2909 | 0.2909 | 0.3856 |
| Upstage Embedding | 0.4211 | 0.8421 | 0.2807 | 0.3509 | 0.3509 | 0.4743 |
| paraphrase-multilingual-MiniLM-L12-v2 | 0.2061 | 0.4123 | 0.1374 | 0.1740 | 0.1740 | 0.2340 |
| openai_embed_3_small | 0.3640 | 0.7281 | 0.2427 | 0.3026 | 0.3026 | 0.4097 |
| ko-sroberta-multitask | 0.2939 | 0.5877 | 0.1959 | 0.2500 | 0.2500 | 0.3351 |
| openai_embed_3_large | 0.3947 | 0.7895 | 0.2632 | 0.3348 | 0.3348 | 0.4491 |
| KU-HIAI-ONTHEIT-large-v1 | 0.4386 | 0.8772 | 0.2924 | 0.3421 | 0.3421 | 0.4766 |
| KU-HIAI-ONTHEIT-large-v1.1 | 0.4430 | 0.8860 | 0.2953 | 0.3406 | 0.3406 | 0.4778 |
| kf-deberta-multitask | 0.3158 | 0.6316 | 0.2105 | 0.2792 | 0.2792 | 0.3679 |
| gte-multilingual-base | 0.4035 | 0.8070 | 0.2690 | 0.3450 | 0.3450 | 0.4614 |
| KoE5 | 0.4254 | 0.8509 | 0.2836 | 0.3173 | 0.3173 | 0.4514 |
| BGE-m3 | 0.4254 | 0.8508 | 0.2836 | 0.3421 | 0.3421 | 0.4701 |
| bge-m3-korean | 0.3684 | 0.7368 | 0.2456 | 0.3143 | 0.3143 | 0.4207 |
| BGE-m3-ko | 0.4517 | 0.9035 | 0.3011 | 0.3494 | 0.3494 | 0.4886 |
- Top-k 5
| Model name | F1 | Recall | Precision | mAP | mRR | NDCG |
|---|---|---|---|---|---|---|
| paraphrase-multilingual-mpnet-base-v2 | 0.1813 | 0.5439 | 0.1088 | 0.1575 | 0.1575 | 0.2491 |
| KoSimCSE-roberta | 0.2164 | 0.6491 | 0.1298 | 0.1751 | 0.1751 | 0.2873 |
| Cohere embed-multilingual-v3.0 | 0.2076 | 0.6228 | 0.1246 | 0.1640 | 0.1640 | 0.2731 |
| openai ada 002 | 0.2602 | 0.7807 | 0.1561 | 0.2139 | 0.2139 | 0.3486 |
| multilingual-e5-large-instruct | 0.2544 | 0.7632 | 0.1526 | 0.2194 | 0.2194 | 0.3487 |
| Upstage Embedding | 0.2982 | 0.8947 | 0.1789 | 0.2237 | 0.2237 | 0.3822 |
| paraphrase-multilingual-MiniLM-L12-v2 | 0.1637 | 0.4912 | 0.0982 | 0.1437 | 0.1437 | 0.2264 |
| openai_embed_3_small | 0.2690 | 0.8070 | 0.1614 | 0.2148 | 0.2148 | 0.3553 |
| ko-sroberta-multitask | 0.2164 | 0.6491 | 0.1298 | 0.1697 | 0.1697 | 0.2835 |
| openai_embed_3_large | 0.2807 | 0.8421 | 0.1684 | 0.2088 | 0.2088 | 0.3586 |
| KU-HIAI-ONTHEIT-large-v1 | 0.3041 | 0.9123 | 0.1825 | 0.2137 | 0.2137 | 0.3783 |
| KU-HIAI-ONTHEIT-large-v1.1 | 0.3099 | 0.9298 | 0.1860 | 0.2148 | 0.2148 | 0.3834 |
| kf-deberta-multitask | 0.2281 | 0.6842 | 0.1368 | 0.1724 | 0.1724 | 0.2939 |
| gte-multilingual-base | 0.2865 | 0.8596 | 0.1719 | 0.2096 | 0.2096 | 0.3637 |
| KoE5 | 0.2982 | 0.8947 | 0.1789 | 0.2054 | 0.2054 | 0.3678 |
| BGE-m3 | 0.3041 | 0.9123 | 0.1825 | 0.2193 | 0.2193 | 0.3832 |
| bge-m3-korean | 0.2661 | 0.7982 | 0.1596 | 0.2116 | 0.2116 | 0.3504 |
| BGE-m3-ko | 0.3099 | 0.9298 | 0.1860 | 0.2098 | 0.2098 | 0.3793 |
- Top-k 10
| Model name | F1 | Recall | Precision | mAP | mRR | NDCG |
|---|---|---|---|---|---|---|
| paraphrase-multilingual-mpnet-base-v2 | 0.1212 | 0.6667 | 0.0667 | 0.1197 | 0.1197 | 0.2382 |
| KoSimCSE-roberta | 0.1324 | 0.7281 | 0.0728 | 0.1080 | 0.1080 | 0.2411 |
| Cohere embed-multilingual-v3.0 | 0.1324 | 0.7281 | 0.0728 | 0.1150 | 0.1150 | 0.2473 |
| openai ada 002 | 0.1563 | 0.8596 | 0.0860 | 0.1051 | 0.1051 | 0.2673 |
| multilingual-e5-large-instruct | 0.1483 | 0.8158 | 0.0816 | 0.0980 | 0.0980 | 0.2520 |
| Upstage Embedding | 0.1707 | 0.9386 | 0.0939 | 0.1078 | 0.1078 | 0.2848 |
| paraphrase-multilingual-MiniLM-L12-v2 | 0.1053 | 0.5789 | 0.0579 | 0.0961 | 0.0961 | 0.2006 |
| openai_embed_3_small | 0.1547 | 0.8509 | 0.0851 | 0.0984 | 0.0984 | 0.2593 |
| ko-sroberta-multitask | 0.1276 | 0.7018 | 0.0702 | 0.0986 | 0.0986 | 0.2275 |
| openai_embed_3_large | 0.1643 | 0.9035 | 0.0904 | 0.1180 | 0.1180 | 0.2855 |
| KU-HIAI-ONTHEIT-large-v1 | 0.1707 | 0.9386 | 0.0939 | 0.1105 | 0.1105 | 0.2860 |
| KU-HIAI-ONTHEIT-large-v1.1 | 0.1722 | 0.9474 | 0.0947 | 0.1033 | 0.1033 | 0.2822 |
| kf-deberta-multitask | 0.1388 | 0.7632 | 0.0763 | 0.1 | 0.1 | 0.2422 |
| gte-multilingual-base | 0.1675 | 0.9211 | 0.0921 | 0.1066 | 0.1066 | 0.2805 |
| KoE5 | 0.1675 | 0.9211 | 0.0921 | 0.1011 | 0.1011 | 0.2750 |
| BGE-m3 | 0.1707 | 0.9386 | 0.0939 | 0.1130 | 0.1130 | 0.2884 |
| bge-m3-korean | 0.1579 | 0.8684 | 0.0868 | 0.1093 | 0.1093 | 0.2721 |
| BGE-m3-ko | 0.1770 | 0.9736 | 0.0974 | 0.1097 | 0.1097 | 0.2932 |
Information Retrieval
- Dataset:
miracl-ko(https://github.com/project-miracl/miracl) - miracl benchmark is a benchmark with a relatively short 3/4 quantile of string length of 220 on the Korean Wikidata set.
- Evaluated with
InformationRetrievalEvaluator
| Metric | Value |
|---|---|
| cosine_accuracy@1 | 0.6103 |
| cosine_accuracy@3 | 0.8169 |
| cosine_accuracy@5 | 0.8732 |
| cosine_accuracy@10 | 0.9202 |
| cosine_precision@1 | 0.6103 |
| cosine_precision@3 | 0.3787 |
| cosine_precision@5 | 0.2761 |
| cosine_precision@10 | 0.1728 |
| cosine_recall@1 | 0.3847 |
| cosine_recall@3 | 0.5902 |
| cosine_recall@5 | 0.6794 |
| cosine_recall@10 | 0.7695 |
| cosine_ndcg@10 | 0.6833 |
| cosine_mrr@10 | 0.7262 |
| cosine_map@100 | 0.6074 |
| dot_accuracy@1 | 0.6103 |
| dot_accuracy@3 | 0.8169 |
| dot_accuracy@5 | 0.8732 |
| dot_accuracy@10 | 0.9202 |
| dot_precision@1 | 0.6103 |
| dot_precision@3 | 0.3787 |
| dot_precision@5 | 0.2761 |
| dot_precision@10 | 0.1728 |
| dot_recall@1 | 0.3847 |
| dot_recall@3 | 0.5902 |
| dot_recall@5 | 0.6794 |
| dot_recall@10 | 0.7695 |
| dot_ndcg@10 | 0.6723 |
| dot_mrr@10 | 0.7262 |
| dot_map@100 | 0.6074 |
Bias, Risks and Limitations
- Since the evaluation results are different for each domain, it is necessary to compare and evaluate the model in your own domain. In the Miracl benchmark, the evaluation was conducted using the Korean Wikipedia as a corpus, and in this case, the cosine_ndcg@10 score dropped by 0.02 points after learning. However, in the Auto-RAG benchmark, which is a financial domain, the ndcg score increased by 0.09 when it was top 1. This model may be advantageous for use in a specific domain.
- Also, since the miracl benchmark consists of a corpus of relatively short strings, while the Korean Embedding Benchmark consists of a corpus of longer strings, this model may be more advantageous if the length of the corpus you want to use is long.
Training Hyperparameters
Non-Default Hyperparameters
The batch size was referenced from the following paper: Text Embeddings by Weakly-Supervised Contrastive Pre-training (https://arxiv.org/pdf/2212.03533)
eval_strategy: stepsper_device_train_batch_size: 32768per_device_eval_batch_size: 32768learning_rate: 3e-05warmup_ratio: 0.03333333333333333fp16: Truebatch_sampler: no_duplicates
All Hyperparameters
Click to expandoverwrite_output_dir: Falsedo_predict: Falseeval_strategy: stepsprediction_loss_only: Trueper_device_train_batch_size: 32768per_device_eval_batch_size: 32768per_gpu_train_batch_size: Noneper_gpu_eval_batch_size: Nonegradient_accumulation_steps: 1eval_accumulation_steps: Nonelearning_rate: 3e-05weight_decay: 0.0adam_beta1: 0.9adam_beta2: 0.999adam_epsilon: 1e-08max_grad_norm: 1.0num_train_epochs: 3max_steps: -1lr_scheduler_type: linearlr_scheduler_kwargs: {}warmup_ratio: 0.03333333333333333warmup_steps: 0log_level: passivelog_level_replica: warninglog_on_each_node: Truelogging_nan_inf_filter: Truesave_safetensors: Truesave_on_each_node: Falsesave_only_model: Falserestore_callback_states_from_checkpoint: Falseno_cuda: Falseuse_cpu: Falseuse_mps_device: Falseseed: 42data_seed: Nonejit_mode_eval: Falseuse_ipex: Falsebf16: Falsefp16: Truefp16_opt_level: O1half_precision_backend: autobf16_full_eval: Falsefp16_full_eval: Falsetf32: Nonelocal_rank: 0ddp_backend: Nonetpu_num_cores: Nonetpu_metrics_debug: Falsedebug: []dataloader_drop_last: Truedataloader_num_workers: 0dataloader_prefetch_factor: Nonepast_index: -1disable_tqdm: Falseremove_unused_columns: Truelabel_names: Noneload_best_model_at_end: Falseignore_data_skip: Falsefsdp: []fsdp_min_num_params: 0fsdp_config: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}fsdp_transformer_layer_cls_to_wrap: Noneaccelerator_config: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}deepspeed: Nonelabel_smoothing_factor: 0.0optim: adamw_torchoptim_args: Noneadafactor: Falsegroup_by_length: Falselength_column_name: lengthddp_find_unused_parameters: Noneddp_bucket_cap_mb: Noneddp_broadcast_buffers: Falsedataloader_pin_memory: Truedataloader_persistent_workers: Falseskip_memory_metrics: Trueuse_legacy_prediction_loop: Falsepush_to_hub: Falseresume_from_checkpoint: Nonehub_model_id: Nonehub_strategy: every_savehub_private_repo: Falsehub_always_push: Falsegradient_checkpointing: Falsegradient_checkpointing_kwargs: Noneinclude_inputs_for_metrics: Falseeval_do_concat_batches: Truefp16_backend: autopush_to_hub_model_id: Nonepush_to_hub_organization: Nonemp_parameters:auto_find_batch_size: Falsefull_determinism: Falsetorchdynamo: Noneray_scope: lastddp_timeout: 1800torch_compile: Falsetorch_compile_backend: Nonetorch_compile_mode: Nonedispatch_batches: Nonesplit_batches: Noneinclude_tokens_per_second: Falseinclude_num_input_tokens_seen: Falseneftune_noise_alpha: Noneoptim_target_modules: Nonebatch_eval_metrics: Falsebatch_sampler: no_duplicatesmulti_dataset_batch_sampler: proportional
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",
}
@misc{bge-m3,
title={BGE M3-Embedding: Multi-Lingual, Multi-Functionality, Multi-Granularity Text Embeddings Through Self-Knowledge Distillation},
author={Jianlv Chen and Shitao Xiao and Peitian Zhang and Kun Luo and Defu Lian and Zheng Liu},
year={2024},
eprint={2402.03216},
archivePrefix={arXiv},
primaryClass={cs.CL}
}
@article{wang2022text,
title={Text Embeddings by Weakly-Supervised Contrastive Pre-training},
author={Wang, Liang and Yang, Nan and Huang, Xiaolong and Jiao, Binxing and Yang, Linjun and Jiang, Daxin and Majumder, Rangan and Wei, Furu},
journal={arXiv preprint arXiv:2212.03533},
year={2022}
}