metadata
tags:
- Data-Science
- Machine-Learning
- sentence-transformers
- sentence-similarity
- feature-extraction
- dense
- generated_from_trainer
- dataset_size:67416
- loss:MultipleNegativesRankingLoss
widget:
- source_sentence: ', k on their diagonal and zero elsewhere.'
sentences:
- |-
The sample ACF and PACF of the data for that time period in Figure 6.17
466
TRANSFER FUNCTIONS AND INTERVENTION MODELS
100
80
60
Week
Week 88
40
20
0
100,000
160,000
140,000
Sales
200,000
180,000
220,000
120,000
FIGURE 6.16
Time series plot of the weekly sales data.
- |-
Just as in equation 6.10, we can write
X = u1a1vT
1 + u2a2vT
2 + · · · + ukakvT
k
(6.29)
We can ignore the corresponding ui, vi of very small, though nonzero,
ai and can still reconstruct X without too much error.
- |-
13.8
Multiple Kernel Learning
It is possible to construct new kernels by combining simpler kernels.
- source_sentence: >-
The main difference is that a node appears at most once as a neighbor of
an-
other node, whereas a word might appear more than once in the context of
another word.
sentences:
- >-
3.2.6
A Decoupled View of Vector-Centric Backpropagation
In the previous discussion, two equivalent ways of computing the updates
based on Equa-
tions 3.12 and 3.18 were provided.
- |-
(4.59),
we obtain
eT −(1 −𝜆)eT−1 = (yT −̂yT−1) −(1 −𝜆)(yT−1 −̂yT−2)
= yT −yT−1 −̂yT−1 + 𝜆yT−1 + (1 −𝜆)̂yT−2
⏟⏞⏞⏞⏞⏞⏞⏞⏞⏞⏞⏞⏟⏞⏞⏞⏞⏞⏞⏞⏞⏞⏞⏞⏟
=̂yT−1
= yT −yT−1 −̂yT−1 + ̂yT−1
= yT −yT−1.
- 8This fact is not evident in the toy example of Figure 2.17.
- source_sentence: |-
This influence is specified by the conditional probability
P(Y|X).
sentences:
- >-
Seasonality
is the component of time series behavior that repeats on a regular
basis,
such as each year.
- >-
Note that one of the
classes is defined by strongly non-zero values in the first and third
dimensions, whereas the
second class is defined by strongly non-zero values in the second and
fourth dimensions.
- >-
The nodes and the arcs between the nodes define the struc-
ture of the network, and the conditional probabilities are the
parameters
given the structure.
- source_sentence: |-
238
9
Decision Trees
Rokach, L., and O. Maimon.
sentences:
- >-
“Top-Down Induction of Decision Trees
Classifiers—A Survey.” IEEE Transactions on Systems, Man, and
Cybernetics–
Part C 35:476–487.
- |-
The only feedback is at the
end of the game when we win or lose the game.
- >-
Subsequently, this computation is propagated
in the backwards direction with dynamic programming updates (similar to
Equation 3.8).
- source_sentence: |-
Therefore, one can use L1-regularization
to estimate which features are predictive to the application at hand.
sentences:
- Blumer, A., A. Ehrenfeucht, D. Haussler, and M. K. Warmuth.
- >-
What about the connections in the hidden layers whose weights are set to
0?
- >-
In cases where computational complexity is important, such
as in a production setting where thousands of models are being fit, it
may not be
worth the extra computational effort.
pipeline_tag: sentence-similarity
library_name: sentence-transformers
metrics:
- pearson_cosine
- spearman_cosine
model-index:
- name: SentenceTransformer
results:
- task:
type: semantic-similarity
name: Semantic Similarity
dataset:
name: val
type: val
metrics:
- type: pearson_cosine
value: null
name: Pearson Cosine
- type: spearman_cosine
value: null
name: Spearman Cosine
license: apache-2.0
language:
- en
base_model:
- sentence-transformers/all-mpnet-base-v2
datasets:
- DigitalAsocial/ds-tb-5-raw
SentenceTransformer
This is a sentence-transformers model trained. 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
- Maximum Sequence Length: 384 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': 384, 'do_lower_case': False, 'architecture': 'MPNetModel'})
(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): 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("sentence_transformers_model_id")
# Run inference
sentences = [
'Therefore, one can use L1-regularization\nto estimate which features are predictive to the application at hand.',
'What about the connections in the hidden layers whose weights are set to 0?',
'In cases where computational complexity is important, such\nas in a production setting where thousands of models are being fit, it may not be\nworth the extra computational effort.',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 768]
# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities)
# tensor([[ 1.0000, 0.4198, 0.2089],
# [ 0.4198, 1.0000, -0.0369],
# [ 0.2089, -0.0369, 1.0000]])
Evaluation
Metrics
Semantic Similarity
- Dataset:
val - Evaluated with
EmbeddingSimilarityEvaluator
| Metric | Value |
|---|---|
| pearson_cosine | nan |
| spearman_cosine | nan |
Training Details
Training Dataset
Unnamed Dataset
- Size: 67,416 training samples
- Columns:
sentence_0andsentence_1 - Approximate statistics based on the first 1000 samples:
sentence_0 sentence_1 type string string details - min: 7 tokens
- mean: 39.68 tokens
- max: 384 tokens
- min: 8 tokens
- mean: 39.93 tokens
- max: 384 tokens
- Samples:
sentence_0 sentence_1 Leveraging Redundancies in Weights
It was shown in [94] that the vast majority of the weights in a neural network are redundant.Furthermore, it is assumed that k ≪min{m1, m2}.Aran, O., O. T. Yıldız, and E. Alpaydın.“An Incremental Framework Based
on Cross-Validation for Estimating the Architecture of a Multilayer Percep-
tron.” International Journal of Pattern Recognition and Artificial Intelligence
23:159–190.(a)
(d)
(e)
(f)
29
Code is life
input_decoder = Input(shape=(latent_dim,), name="decoder_input")
decoder_h = Dense(intermediate_dim, activation='relu',
name="decoder_h")(input_decoder)
x_decoded = Dense(original_dim, activation='sigmoid',
name="flat_decoded")(decoder_h)
decoder = Model(input_decoder, x_decoded, name="decoder")
We can now combine the encoder and the decoder into a single VAE model.output_combined = decoder(encoder(x)[2])
vae = Model(x, output_combined)
vae.summary()
Next, we get to the more familiar parts of machine learning: defining a loss function
so our autoencoder can train. - 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: 16per_device_eval_batch_size: 16num_train_epochs: 6fp16: Truemulti_dataset_batch_sampler: round_robin
All Hyperparameters
Click to expand
overwrite_output_dir: Falsedo_predict: Falseeval_strategy: noprediction_loss_only: Trueper_device_train_batch_size: 16per_device_eval_batch_size: 16per_gpu_train_batch_size: Noneper_gpu_eval_batch_size: Nonegradient_accumulation_steps: 1eval_accumulation_steps: Nonetorch_empty_cache_steps: Nonelearning_rate: 5e-05weight_decay: 0.0adam_beta1: 0.9adam_beta2: 0.999adam_epsilon: 1e-08max_grad_norm: 1num_train_epochs: 6max_steps: -1lr_scheduler_type: linearlr_scheduler_kwargs: {}warmup_ratio: 0.0warmup_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: 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: 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_torchoptim_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: Nonebatch_sampler: batch_samplermulti_dataset_batch_sampler: round_robinrouter_mapping: {}learning_rate_mapping: {}
Training Logs
| Epoch | Step | Training Loss | val_spearman_cosine |
|---|---|---|---|
| 0.1187 | 500 | 1.5671 | - |
| 0.2373 | 1000 | 1.2804 | - |
| 0.3560 | 1500 | 1.1256 | - |
| 0.4746 | 2000 | 0.9789 | - |
| 0.5933 | 2500 | 0.8839 | - |
| 0.7119 | 3000 | 0.7748 | - |
| 0.8306 | 3500 | 0.73 | - |
| 0.9492 | 4000 | 0.698 | - |
| 1.0 | 4214 | - | nan |
Framework Versions
- Python: 3.11.7
- Sentence Transformers: 5.1.1
- Transformers: 4.57.0
- PyTorch: 2.5.1+cu121
- Accelerate: 1.12.0
- Datasets: 4.4.1
- 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}
}