Sentence Similarity
sentence-transformers
Safetensors
bert
feature-extraction
Generated from Trainer
dataset_size:500
loss:MultipleNegativesRankingLoss
text-embeddings-inference
Instructions to use Manborough/isabelle-premise-encoder with libraries, inference providers, notebooks, and local apps. Follow these links to get started.
- Libraries
- sentence-transformers
How to use Manborough/isabelle-premise-encoder with sentence-transformers:
from sentence_transformers import SentenceTransformer model = SentenceTransformer("Manborough/isabelle-premise-encoder") sentences = [ "theorem ptyping_match:\n \"\\<turnstile> p : T \\<Rightarrow> \\<Delta> \\<Longrightarrow> [] \\<turnstile> t : T \\<Longrightarrow> t \\<in> value \\<Longrightarrow>\n \\<exists>ts. \\<turnstile> p \\<rhd> t \\<Rightarrow> ts\"\n \"\\<turnstile> fps [:] fTs \\<Rightarrow> \\<Delta> \\<Longrightarrow> [] \\<turnstile> fs [:] fTs \\<Longrightarrow>\n \\<forall>(l, t) \\<in> set fs. t \\<in> value \\<Longrightarrow> \\<exists>us. \\<turnstile> fps [\\<rhd>] fs \\<Rightarrow> us\"", " cases: fixes a1 :: \"pat\" and a2 :: \"trm\" and a3 :: \"trm list\" assumes \"\\<turnstile> a1 \\<rhd> a2 \\<Rightarrow> a3\" obtains T :: \"POPLmarkRecord.type\" and t :: \"trm\" where \"a1 = PVar T\" and \"a2 = t\" and \"a3 = [t]\" | fps :: \"(char list \\<times> pat) list\" and fs :: \"(char list \\<times> trm) list\" and ts :: \"trm list\" where \"a1 = PRcd fps\" and \"a2 = Rcd fs\" and \"a3 = ts\" and \"\\<turnstile> fps [\\<rhd>] fs \\<Rightarrow> ts\"", " less_le_not_le: fixes less_eq :: \"'a \\<Rightarrow> 'a \\<Rightarrow> bool\" and less :: \"'a \\<Rightarrow> 'a \\<Rightarrow> bool\" and x :: \"'a\" and y :: \"'a\" assumes \"class.preorder less_eq less\" shows \"less x y = (less_eq x y \\<and> \\<not> less_eq y x)\"", " UnE: fixes c :: \"'b\" and A :: \"'b set\" and B :: \"'b set\" assumes \"c \\<in> A \\<union> B\" obtains \"c \\<in> A\" | \"c \\<in> B\"" ] embeddings = model.encode(sentences) similarities = model.similarity(embeddings, embeddings) print(similarities.shape) # [4, 4] - Notebooks
- Google Colab
- Kaggle
metadata
tags:
- sentence-transformers
- sentence-similarity
- feature-extraction
- generated_from_trainer
- dataset_size:500
- loss:MultipleNegativesRankingLoss
base_model: sentence-transformers/all-MiniLM-L6-v2
widget:
- source_sentence: |-
theorem ptyping_match:
"\<turnstile> p : T \<Rightarrow> \<Delta> \<Longrightarrow> [] \<turnstile> t : T \<Longrightarrow> t \<in> value \<Longrightarrow>
\<exists>ts. \<turnstile> p \<rhd> t \<Rightarrow> ts"
"\<turnstile> fps [:] fTs \<Rightarrow> \<Delta> \<Longrightarrow> [] \<turnstile> fs [:] fTs \<Longrightarrow>
\<forall>(l, t) \<in> set fs. t \<in> value \<Longrightarrow> \<exists>us. \<turnstile> fps [\<rhd>] fs \<Rightarrow> us"
sentences:
- ' cases: fixes a1 :: "pat" and a2 :: "trm" and a3 :: "trm list" assumes "\<turnstile> a1 \<rhd> a2 \<Rightarrow> a3" obtains T :: "POPLmarkRecord.type" and t :: "trm" where "a1 = PVar T" and "a2 = t" and "a3 = [t]" | fps :: "(char list \<times> pat) list" and fs :: "(char list \<times> trm) list" and ts :: "trm list" where "a1 = PRcd fps" and "a2 = Rcd fs" and "a3 = ts" and "\<turnstile> fps [\<rhd>] fs \<Rightarrow> ts"'
- ' less_le_not_le: fixes less_eq :: "''a \<Rightarrow> ''a \<Rightarrow> bool" and less :: "''a \<Rightarrow> ''a \<Rightarrow> bool" and x :: "''a" and y :: "''a" assumes "class.preorder less_eq less" shows "less x y = (less_eq x y \<and> \<not> less_eq y x)"'
- ' UnE: fixes c :: "''b" and A :: "''b set" and B :: "''b set" assumes "c \<in> A \<union> B" obtains "c \<in> A" | "c \<in> B"'
- source_sentence: >-
lemma (in infinite_coin_toss_space)
nat_filtration_borel_measurable_singleton:
fixes f::"bool stream \<Rightarrow> 'b::{t2_space}"
assumes "f\<in> borel_measurable (nat_filtration n)"
shows "f -`{f x} \<in> sets (nat_filtration n)"
sentences:
- ' size_3: shows "length [] = 0"'
- ' Un_subset_iff: fixes A :: "''a set" and B :: "''a set" and C :: "''a set" shows "(A \<union> B \<subseteq> C) = (A \<subseteq> C \<and> B \<subseteq> C)"'
- ' vimage_eq: fixes a :: "''b" and f :: "''b \<Rightarrow> ''c" and B :: "''c set" shows "(a \<in> f -` B) = (f a \<in> B)"'
- source_sentence: >-
lemma subst_psubst: "\<lbrakk> closed_env \<rho>; FV v = {} \<rbrakk>
\<Longrightarrow>
subst x v (psubst ((x, EVar x) # \<rho>) e) = psubst ((x, v) # \<rho>) e"
sentences:
- ' at_within_def: fixes "open" :: "''e set \<Rightarrow> bool" and a :: "''e" and s :: "''e set" assumes "class.topological_space open" shows "topological_space.at_within open a s = inf (topological_space.nhds open a) (principal (s - {a}))"'
- ' psubst_change: fixes \<rho> :: "(nat \<times> exp) list" and \<rho>'' :: "(nat \<times> exp) list" and e :: "exp" assumes "equiv_env \<rho> \<rho>''" shows "psubst \<rho> e = psubst \<rho>'' e"'
- ' edges_of_walk_in_E: fixes xs :: "''a list" assumes "walk xs" shows "edges_of_walk xs \<subseteq> E"'
- source_sentence: 'interpretation real_euclid: tarski_first5 real_euclid_C real_euclid_B'
sentences:
- ' weakly_fair_def2: fixes enabled :: "(nat \<Rightarrow> ''b) \<Rightarrow> bool" and taken :: "(nat \<Rightarrow> ''b) \<Rightarrow> bool" shows "weakly_fair enabled taken = \<box>(\<lambda>s. \<not> (\<box>(\<lambda>s. enabled s \<and> \<not> taken s)) s)"'
- ' add_diff_eq: fixes minus :: "''b \<Rightarrow> ''b \<Rightarrow> ''b" and plus :: "''b \<Rightarrow> ''b \<Rightarrow> ''b" and zero :: "''b" and uminus :: "''b \<Rightarrow> ''b" and a :: "''b" and b :: "''b" and c :: "''b" assumes "class.group_add minus plus zero uminus" shows "plus a (minus b c) = minus (plus a b) c"'
- ' bottom_exists: shows "\<exists>x. least L x (carrier L)"'
- source_sentence: |-
lemma normal_mult:
fixes f g::"real poly"
assumes hf: "normal_poly f" and hg: "normal_poly g"
defines "df \<equiv> degree f" and "dg \<equiv> degree g"
shows "normal_poly (f*g)"
sentences:
- ' pCons_0_as_mult: fixes p :: "''a poly" shows "pCons (0::''a) p = [:0::''a, 1::''a:] * p"'
- ' less_Nil_2: fixes xs :: "''a list" shows "[] < xs"'
- ' subprob_space_measure_pmf: fixes x :: "''a pmf" shows "subprob_space (measure_pmf x)"'
pipeline_tag: sentence-similarity
library_name: sentence-transformers
SentenceTransformer based on sentence-transformers/all-MiniLM-L6-v2
This is a sentence-transformers model finetuned from sentence-transformers/all-MiniLM-L6-v2. It maps sentences & paragraphs to a 384-dimensional dense vector space and can be used for retrieval.
Model Details
Model Description
- Model Type: Sentence Transformer
- Base model: sentence-transformers/all-MiniLM-L6-v2
- Maximum Sequence Length: 256 tokens
- Output Dimensionality: 384 dimensions
- Similarity Function: Cosine Similarity
- Supported Modality: Text
Model Sources
- Documentation: Sentence Transformers Documentation
- Repository: Sentence Transformers on GitHub
- Hugging Face: Sentence Transformers on Hugging Face
Full Model Architecture
SentenceTransformer(
(0): Transformer({'transformer_task': 'feature-extraction', 'modality_config': {'text': {'method': 'forward', 'method_output_name': 'last_hidden_state'}}, 'module_output_name': 'token_embeddings', 'architecture': 'BertModel'})
(1): Pooling({'embedding_dimension': 384, 'pooling_mode': 'mean', '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 🤗 Hub
model = SentenceTransformer("Manborough/isabelle-premise-encoder")
# Run inference
sentences = [
'lemma normal_mult: \n fixes f g::"real poly"\n assumes hf: "normal_poly f" and hg: "normal_poly g"\n defines "df \\<equiv> degree f" and "dg \\<equiv> degree g"\n shows "normal_poly (f*g)"',
' pCons_0_as_mult: fixes p :: "\'a poly" shows "pCons (0::\'a) p = [:0::\'a, 1::\'a:] * p"',
' less_Nil_2: fixes xs :: "\'a list" shows "[] < xs"',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 384]
# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities)
# tensor([[1.0000, 0.3714, 0.0459],
# [0.3714, 1.0000, 0.3391],
# [0.0459, 0.3391, 1.0000]])
Training Details
Training Dataset
Unnamed Dataset
- Size: 500 training samples
- Columns:
sentence_0andsentence_1 - Approximate statistics based on the first 100 samples:
sentence_0 sentence_1 type string string modality text text details - min: 3 tokens
- mean: 97.25 tokens
- max: 256 tokens
- min: 12 tokens
- mean: 67.63 tokens
- max: 256 tokens
- Samples:
sentence_0 sentence_1 lemma ord_twopow_3_5:
assumes "k <ge> 3" "x mod 8 <in> {3, 5 :: nat}"
shows "ord (2 ^ k) x = 2 ^ (k - 2)"One_nat_def: shows "1 = Suc 0"lemma silent_moves_intra_path_no_obs:
assumes "obs_intra m <lfloor>HRB_slice S<rfloor><^bsub>CFG<^esub> = {}" and "method_exit m'"
and "get_proc m = get_proc m'" and "valid_node m" and "length s = length (m#msx')"
and "<forall>m <in> set msx'. return_node m"
obtains as where "S,slice_kind S <turnstile> (m#msx',s) =as<Rightarrow><^sub><tau> (m'#msx',s)"distinct_1: fixes x21 :: "'a" and x22 :: "'a list" shows "[] <noteq> x21 # x22"lemma
assumes "RedBlack prb"
assumes "subpath (red prb) rv1 res rv2 (subs prb)"
assumes "<not> marked prb rv2"
shows "<not> marked prb rv1"subsumee_not_marked: fixes prb :: "('d, 'e, 'f) pre_RedBlack" and sub :: "('d <times> nat) <times> 'd <times> nat" assumes "RedBlack prb" and "sub <in> subs prb" shows "<not> marked prb (subsumee sub)" - Loss:
MultipleNegativesRankingLosswith these parameters:{ "scale": 20.0, "similarity_fct": "cos_sim", "gather_across_devices": false, "directions": [ "query_to_doc" ], "partition_mode": "joint", "hardness_mode": null, "hardness_strength": 0.0 }
Training Hyperparameters
Non-Default Hyperparameters
per_device_train_batch_size: 32num_train_epochs: 1per_device_eval_batch_size: 32multi_dataset_batch_sampler: round_robin
All Hyperparameters
Click to expand
per_device_train_batch_size: 32num_train_epochs: 1max_steps: -1learning_rate: 5e-05lr_scheduler_type: linearlr_scheduler_kwargs: Nonewarmup_steps: 0optim: adamw_torch_fusedoptim_args: Noneweight_decay: 0.0adam_beta1: 0.9adam_beta2: 0.999adam_epsilon: 1e-08optim_target_modules: Nonegradient_accumulation_steps: 1average_tokens_across_devices: Truemax_grad_norm: 1label_smoothing_factor: 0.0bf16: Falsefp16: Falsebf16_full_eval: Falsefp16_full_eval: Falsetf32: Nonegradient_checkpointing: Falsegradient_checkpointing_kwargs: Nonetorch_compile: Falsetorch_compile_backend: Nonetorch_compile_mode: Noneuse_liger_kernel: Falseliger_kernel_config: Noneuse_cache: Falseneftune_noise_alpha: Nonetorch_empty_cache_steps: Noneauto_find_batch_size: Falselog_on_each_node: Truelogging_nan_inf_filter: Trueinclude_num_input_tokens_seen: nolog_level: passivelog_level_replica: warningdisable_tqdm: Falseproject: huggingfacetrackio_space_id: Nonetrackio_bucket_id: Nonetrackio_static_space_id: Noneper_device_eval_batch_size: 32prediction_loss_only: Trueeval_on_start: Falseeval_do_concat_batches: Trueeval_use_gather_object: Falseeval_accumulation_steps: Noneinclude_for_metrics: []batch_eval_metrics: Falsesave_only_model: Falsesave_on_each_node: Falseenable_jit_checkpoint: Falsepush_to_hub: Falsehub_private_repo: Nonehub_model_id: Nonehub_strategy: every_savehub_always_push: Falsehub_revision: Noneload_best_model_at_end: Falseignore_data_skip: Falserestore_callback_states_from_checkpoint: Falsefull_determinism: Falseseed: 42data_seed: Noneuse_cpu: Falseaccelerator_config: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}parallelism_config: Nonedataloader_drop_last: Falsedataloader_num_workers: 0dataloader_pin_memory: Truedataloader_persistent_workers: Falsedataloader_prefetch_factor: Noneremove_unused_columns: Truelabel_names: Nonetrain_sampling_strategy: randomlength_column_name: lengthddp_find_unused_parameters: Noneddp_bucket_cap_mb: Noneddp_broadcast_buffers: Falseddp_static_graph: Noneddp_backend: Noneddp_timeout: 1800fsdp: []fsdp_config: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}deepspeed: Nonedebug: []skip_memory_metrics: Truedo_predict: Falseresume_from_checkpoint: Nonewarmup_ratio: Nonelocal_rank: -1prompts: Nonebatch_sampler: batch_samplermulti_dataset_batch_sampler: round_robinrouter_mapping: {}learning_rate_mapping: {}
Training Time
- Training: 26.4 seconds
Framework Versions
- Python: 3.13.12
- Sentence Transformers: 5.5.1
- Transformers: 5.9.0
- PyTorch: 2.12.0
- Accelerate: 1.13.0
- Datasets: 4.8.5
- Tokenizers: 0.22.2
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",
}
MultipleNegativesRankingLoss
@misc{oord2019representationlearningcontrastivepredictive,
title={Representation Learning with Contrastive Predictive Coding},
author={Aaron van den Oord and Yazhe Li and Oriol Vinyals},
year={2019},
eprint={1807.03748},
archivePrefix={arXiv},
primaryClass={cs.LG},
url={https://arxiv.org/abs/1807.03748},
}