metadata
tags:
- sentence-transformers
- sentence-similarity
- feature-extraction
- dense
- generated_from_trainer
- dataset_size:200
- loss:MultipleNegativesRankingLoss
base_model: google/embeddinggemma-300m
widget:
- source_sentence: >-
Alice and Bob play a game involving a circle whose circumference is
divided by 12 equally-spaced points. The points are numbered clockwise,
from 1 to 12. Both start on point 12. Alice moves clockwise and Bob,
counterclockwise. In a turn of the game, Alice moves 5 points clockwise
and Bob moves 9 points counterclockwise. The game ends when they stop on
the same point. How many turns will this take?
sentences:
- >-
How many distinct triangles can be drawn using three of the dots below
as vertices? [asy]dot(origin^^(1,0)^^(2,0)^^(0,1)^^(1,1)^^(2,1));[/asy]
- >-
Tess runs counterclockwise around rectangular block $JKLM$. She lives at
corner $J$. Which graph could represent her straight-line distance from
home?
- Which triplet of numbers has a sum NOT equal to 1?
- source_sentence: Which of these numbers is less than its reciprocal?
sentences:
- >-
A white cylindrical silo has a diameter of 30 feet and a height of 80
feet. A red stripe with a horizontal width of 3 feet is painted on the
silo, as shown, making two complete revolutions around it. What is the
area of the stripe in square feet? [asy]
size(250);defaultpen(linewidth(0.8)); draw(ellipse(origin, 3, 1));
fill((3,0)--(3,2)--(-3,2)--(-3,0)--cycle, white);
draw((3,0)--(3,16)^^(-3,0)--(-3,16)); draw((0, 15)--(3, 12)^^(0,
16)--(3, 13)); filldraw(ellipse((0, 16), 3, 1), white, black);
draw((-3,11)--(3, 5)^^(-3,10)--(3, 4));
draw((-3,2)--(0,-1)^^(-3,1)--(-1,-0.89)); draw((0,-1)--(0,15), dashed);
draw((3,-2)--(3,-4)^^(-3,-2)--(-3,-4));
draw((-7,0)--(-5,0)^^(-7,16)--(-5,16)); draw((3,-3)--(-3,-3),
Arrows(6)); draw((-6,0)--(-6,16), Arrows(6)); draw((-2,9)--(-1,9),
Arrows(3)); label("$3$", (-1.375,9.05), dir(260), fontsize(7));
label("$A$", (0,15), N); label("$B$", (0,-1), NE); label("$30$", (0,
-3), S); label("$80$", (-6, 8), W);[/asy]
- >-
Aunt Anna is $42$ years old. Caitlin is $5$ years younger than Brianna,
and Brianna is half as old as Aunt Anna. How old is Caitlin?
- >-
Tess runs counterclockwise around rectangular block $JKLM$. She lives at
corner $J$. Which graph could represent her straight-line distance from
home?
- source_sentence: >-
Problems 8,9 and 10 use the data found in the accompanying paragraph and
table: Juan organizes the stamps in his collection by country and by the
decade in which they were issued. The prices he paid for them at a stamp
shop were: Brazil and France, 6 cents each, Peru 4 cents each, and Spain 5
cents each. (Brazil and Peru are South American countries and France and
Spain are in Europe.) [asy] /* AMC8 2002 #8, 9, 10 Problem */ size(3inch,
1.5inch); for ( int y = 0; y <= 5; ++y ) { draw((0,y)--(18,y)); }
draw((0,0)--(0,5)); draw((6,0)--(6,5)); draw((9,0)--(9,5));
draw((12,0)--(12,5)); draw((15,0)--(15,5)); draw((18,0)--(18,5));
draw(scale(0.8)*"50s", (7.5,4.5)); draw(scale(0.8)*"4", (7.5,3.5));
draw(scale(0.8)*"8", (7.5,2.5)); draw(scale(0.8)*"6", (7.5,1.5));
draw(scale(0.8)*"3", (7.5,0.5)); draw(scale(0.8)*"60s", (10.5,4.5));
draw(scale(0.8)*"7", (10.5,3.5)); draw(scale(0.8)*"4", (10.5,2.5));
draw(scale(0.8)*"4", (10.5,1.5)); draw(scale(0.8)*"9", (10.5,0.5));
draw(scale(0.8)*"70s", (13.5,4.5)); draw(scale(0.8)*"12", (13.5,3.5));
draw(scale(0.8)*"12", (13.5,2.5)); draw(scale(0.8)*"6", (13.5,1.5));
draw(scale(0.8)*"13", (13.5,0.5)); draw(scale(0.8)*"80s", (16.5,4.5));
draw(scale(0.8)*"8", (16.5,3.5)); draw(scale(0.8)*"15", (16.5,2.5));
draw(scale(0.8)*"10", (16.5,1.5)); draw(scale(0.8)*"9", (16.5,0.5));
label(scale(0.8)*"Country", (3,4.5)); label(scale(0.8)*"Brazil", (3,3.5));
label(scale(0.8)*"France", (3,2.5)); label(scale(0.8)*"Peru", (3,1.5));
label(scale(0.8)*"Spain", (3,0.5)); label(scale(0.9)*"Juan's Stamp
Collection", (9,0), S); label(scale(0.9)*"Number of Stamps by Decade",
(9,5), N);[/asy] The average price of his '70s stamps is closest to
sentences:
- >-
A rectangular garden 60 feet long and 20 feet wide is enclosed by a
fence. To make the garden larger, while using the same fence, its shape
is changed to a square. By how many square feet does this enlarge the
garden?
- >-
Problems 8,9 and 10 use the data found in the accompanying paragraph and
table: Juan organizes the stamps in his collection by country and by the
decade in which they were issued. The prices he paid for them at a stamp
shop were: Brazil and France, 6 cents each, Peru 4 cents each, and Spain
5 cents each. (Brazil and Peru are South American countries and France
and Spain are in Europe.) [asy] /* AMC8 2002 #8, 9, 10 Problem */
size(3inch, 1.5inch); for ( int y = 0; y <= 5; ++y ) {
draw((0,y)--(18,y)); } draw((0,0)--(0,5)); draw((6,0)--(6,5));
draw((9,0)--(9,5)); draw((12,0)--(12,5)); draw((15,0)--(15,5));
draw((18,0)--(18,5)); draw(scale(0.8)*"50s", (7.5,4.5));
draw(scale(0.8)*"4", (7.5,3.5)); draw(scale(0.8)*"8", (7.5,2.5));
draw(scale(0.8)*"6", (7.5,1.5)); draw(scale(0.8)*"3", (7.5,0.5));
draw(scale(0.8)*"60s", (10.5,4.5)); draw(scale(0.8)*"7", (10.5,3.5));
draw(scale(0.8)*"4", (10.5,2.5)); draw(scale(0.8)*"4", (10.5,1.5));
draw(scale(0.8)*"9", (10.5,0.5)); draw(scale(0.8)*"70s", (13.5,4.5));
draw(scale(0.8)*"12", (13.5,3.5)); draw(scale(0.8)*"12", (13.5,2.5));
draw(scale(0.8)*"6", (13.5,1.5)); draw(scale(0.8)*"13", (13.5,0.5));
draw(scale(0.8)*"80s", (16.5,4.5)); draw(scale(0.8)*"8", (16.5,3.5));
draw(scale(0.8)*"15", (16.5,2.5)); draw(scale(0.8)*"10", (16.5,1.5));
draw(scale(0.8)*"9", (16.5,0.5)); label(scale(0.8)*"Country", (3,4.5));
label(scale(0.8)*"Brazil", (3,3.5)); label(scale(0.8)*"France",
(3,2.5)); label(scale(0.8)*"Peru", (3,1.5)); label(scale(0.8)*"Spain",
(3,0.5)); label(scale(0.9)*"Juan's Stamp Collection", (9,0), S);
label(scale(0.9)*"Number of Stamps by Decade", (9,5), N);[/asy] In
dollars and cents, how much did his South American stamps issued before
the ’70s cost him?
- >-
Three mutually tangent spheres of radius $1$ rest on a horizontal plane.
A sphere of radius $2$ rests on them. What is the distance from the
plane to the top of the larger sphere?
- source_sentence: >-
Two-thirds of the people in a room are seated in three-fourths of the
chairs. The rest of the people are standing. If there are $6$ empty
chairs, how many people are in the room?
sentences:
- >-
Spinners $A$ and $B$ are spun. On each spinner, the arrow is equally
likely to land on each number. What is the probability that the product
of the two spinners' numbers is even?
- >-
On the AMC 8 contest Billy answers 13 questions correctly, answers 7
questions incorrectly and doesn't answer the last 5. What is his score?
- >-
How many different combinations of \$5 bills and \$2 bills can be used
to make a total of \$17? Order does not matter in this problem.
- source_sentence: When $1999^{2000}$ is divided by $5$, the remainder is
sentences:
- >-
Square $ABCD$ has sides of length 3. Segments $CM$ and $CN$ divide the
square's area into three equal parts. How long is segment $CM$?
- >-
Problems 14, 15 and 16 involve Mrs. Reed's English assignment. A Novel
Assignment The students in Mrs. Reed's English class are reading the
same 760-page novel. Three friends, Alice, Bob and Chandra, are in the
class. Alice reads a page in 20 seconds, Bob reads a page in 45 seconds
and Chandra reads a page in 30 seconds. Chandra and Bob, who each have a
copy of the book, decide that they can save time by "team reading" the
novel. In this scheme, Chandra will read from page 1 to a certain page
and Bob will read from the next page through page 760, finishing the
book. When they are through they will tell each other about the part
they read. What is the last page that Chandra should read so that she
and Bob spend the same amount of time reading the novel?
- >-
$(6?3) + 4 - (2 - 1) = 5.$ To make this statement true, the question
mark between the 6 and the 3 should be replaced by
pipeline_tag: sentence-similarity
library_name: sentence-transformers
SentenceTransformer based on google/embeddinggemma-300m
This is a sentence-transformers model finetuned from google/embeddinggemma-300m. It maps sentences & paragraphs to a 768-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.
Model Details
Model Description
- Model Type: Sentence Transformer
- Base model: google/embeddinggemma-300m
- Maximum Sequence Length: 2048 tokens
- Output Dimensionality: 768 dimensions
- 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': 2048, 'do_lower_case': False, 'architecture': 'Gemma3TextModel'})
(1): Pooling({'word_embedding_dimension': 768, 'pooling_mode_cls_token': False, 'pooling_mode_mean_tokens': True, '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): Dense({'in_features': 768, 'out_features': 3072, 'bias': False, 'activation_function': 'torch.nn.modules.linear.Identity'})
(3): Dense({'in_features': 3072, 'out_features': 768, 'bias': False, 'activation_function': 'torch.nn.modules.linear.Identity'})
(4): 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("blachang28/poc-gemma")
# Run inference
queries = [
"When $1999^{2000}$ is divided by $5$, the remainder is",
]
documents = [
"Square $ABCD$ has sides of length 3. Segments $CM$ and $CN$ divide the square's area into three equal parts. How long is segment $CM$?",
'$(6?3) + 4 - (2 - 1) = 5.$ To make this statement true, the question mark between the 6 and the 3 should be replaced by',
'Problems 14, 15 and 16 involve Mrs. Reed\'s English assignment. A Novel Assignment The students in Mrs. Reed\'s English class are reading the same 760-page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in 20 seconds, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. Chandra and Bob, who each have a copy of the book, decide that they can save time by "team reading" the novel. In this scheme, Chandra will read from page 1 to a certain page and Bob will read from the next page through page 760, finishing the book. When they are through they will tell each other about the part they read. What is the last page that Chandra should read so that she and Bob spend the same amount of time reading the novel?',
]
query_embeddings = model.encode_query(queries)
document_embeddings = model.encode_document(documents)
print(query_embeddings.shape, document_embeddings.shape)
# [1, 768] [3, 768]
# Get the similarity scores for the embeddings
similarities = model.similarity(query_embeddings, document_embeddings)
print(similarities)
# tensor([[ 0.7710, -0.4438, -0.0152]])
Training Details
Training Dataset
Unnamed Dataset
- Size: 200 training samples
- Columns:
anchor,positive, andnegative - Approximate statistics based on the first 200 samples:
anchor positive negative type string string string details - min: 11 tokens
- mean: 81.76 tokens
- max: 806 tokens
- min: 11 tokens
- mean: 80.08 tokens
- max: 806 tokens
- min: 12 tokens
- mean: 79.01 tokens
- max: 797 tokens
- Samples:
anchor positive negative $(6?3) + 4 - (2 - 1) = 5.$ To make this statement true, the question mark between the 6 and the 3 should be replaced byWhat is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?An insect lives on the surface of a regular tetrahedron with edges of length 1. It wishes to travel on the surface of the tetrahedron from the midpoint of one edge to the midpoint of the opposite edge. What is the length of the shortest such trip? (Note: Two edges of a tetrahedron are opposite if they have no common endpoint.)What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?Which triplet of numbers has a sum NOT equal to 1?Corners are sliced off a unit cube so that the six faces each become regular octagons. What is the total volume of the removed tetrahedra?Which triplet of numbers has a sum NOT equal to 1?What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?How many pairs of positive integers $(a,b)$ are there such that $\text{gcd}(a,b)=1$ and $\frac{a}{b} + \frac{14b}{9a}$ is an integer? $\mathrm {(A)}\ 4\quad\mathrm {(B)}\ 6\quad\mathrm {(C)}\ 9\quad\mathrm {(D)}\ 12\quad\mathrm {(E)}\ \text{infinitely many}$ - Loss:
MultipleNegativesRankingLosswith these parameters:{ "scale": 20.0, "similarity_fct": "cos_sim", "gather_across_devices": false }
Training Hyperparameters
Non-Default Hyperparameters
per_device_train_batch_size: 1learning_rate: 2e-05num_train_epochs: 5warmup_ratio: 0.1prompts: task: classification | query:
All Hyperparameters
Click to expand
overwrite_output_dir: Falsedo_predict: Falseeval_strategy: noprediction_loss_only: Trueper_device_train_batch_size: 1per_device_eval_batch_size: 8per_gpu_train_batch_size: Noneper_gpu_eval_batch_size: Nonegradient_accumulation_steps: 1eval_accumulation_steps: Nonetorch_empty_cache_steps: Nonelearning_rate: 2e-05weight_decay: 0.0adam_beta1: 0.9adam_beta2: 0.999adam_epsilon: 1e-08max_grad_norm: 1.0num_train_epochs: 5max_steps: -1lr_scheduler_type: linearlr_scheduler_kwargs: {}warmup_ratio: 0.1warmup_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: Falsebf16: Falsefp16: Falsefp16_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: Falsedataloader_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}parallelism_config: Nonedeepspeed: Nonelabel_smoothing_factor: 0.0optim: adamw_torch_fusedoptim_args: Noneadafactor: Falsegroup_by_length: Falselength_column_name: lengthproject: huggingfacetrackio_space_id: trackioddp_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: Nonehub_always_push: Falsehub_revision: Nonegradient_checkpointing: Falsegradient_checkpointing_kwargs: Noneinclude_inputs_for_metrics: Falseinclude_for_metrics: []eval_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: Noneinclude_tokens_per_second: Falseinclude_num_input_tokens_seen: noneftune_noise_alpha: Noneoptim_target_modules: Nonebatch_eval_metrics: Falseeval_on_start: Falseuse_liger_kernel: Falseliger_kernel_config: Noneeval_use_gather_object: Falseaverage_tokens_across_devices: Trueprompts: task: classification | query:batch_sampler: batch_samplermulti_dataset_batch_sampler: proportionalrouter_mapping: {}learning_rate_mapping: {}
Training Logs
| Epoch | Step | Training Loss |
|---|---|---|
| 1.0 | 200 | 1.3954 |
| 2.0 | 400 | 0.8112 |
| 3.0 | 600 | 0.0855 |
| 4.0 | 800 | 0.0529 |
| 5.0 | 1000 | 0.0018 |
Framework Versions
- Python: 3.12.12
- Sentence Transformers: 5.1.2
- Transformers: 4.57.2
- PyTorch: 2.9.0+cu126
- Accelerate: 1.12.0
- Datasets: 4.0.0
- Tokenizers: 0.22.1
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",
}
MultipleNegativesRankingLoss
@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}
}