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---
base_model: BAAI/bge-large-en-v1.5
library_name: sentence-transformers
pipeline_tag: sentence-similarity
tags:
- sentence-transformers
- sentence-similarity
- feature-extraction
- generated_from_trainer
- dataset_size:4370
- loss:CosineSimilarityLoss
widget:
- source_sentence: '

    Construct: Recognise a linear graph from its shape

    Subject: Finding the Gradient and Intercept of a Line from the Equation

    Question: Use a graphing program (e.g. Desmos) to plot the following pairs of
    functions.

    \[

    y=3 \text { and } y=-2

    \]


    Tom says both functions are linear


    Katie says both functions are vertical lines


    Who is correct?

    Incorrect Answer: Neither is correct

    Correct Answer: Only

    Tom

    '
  sentences:
  - Believes the coefficent of x in an expanded quadratic comes from multiplying the
    two numbers in the brackets
  - Does not know the properties of a linear graph
  - Misremembers the quadratic formula
- source_sentence: '

    Construct: Multiply two decimals together with the same number of decimal places

    Subject: Multiplying and Dividing with Decimals

    Question: \( 0.6 \times 0.4= \)

    Incorrect Answer: \( 2.4 \)

    Correct Answer: \( 0.24 \)

    '
  sentences:
  - When asked to solve simultaneous equations, believes they can just find values
    that work in one equation
  - Believes the solutions of a quadratic equation are the constants in the factorised
    form
  - When multiplying decimals, divides by the wrong power of 10 when reinserting the
    decimal
- source_sentence: '

    Construct: Estimate the volume or capacity of an object

    Subject: Volume of Prisms

    Question: Each of these measurements matches one of these objects. ![An image
    of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest
    of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172
    cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup?

    Incorrect Answer: \( 197177 \mathrm{~cm}^{3} \)

    Correct Answer: \( 87 \mathrm{~cm}^{3} \)

    '
  sentences:
  - Confuses quadratic and exponential graphs
  - Cannot estimate the relative volume order, for different objects
  - Does not know how many days are in a leap year
- source_sentence: '

    Construct: Carry out division  problems involving one negative integer

    Subject: Multiplying and Dividing Negative Numbers

    Question: \( 12 \div(-4)= \)

    Incorrect Answer: \( 3 \)

    Correct Answer: \( -3 \)

    '
  sentences:
  - Believes dividing a positive by a negative gives a positive answer
  - Believes -a is always smaller than a, ignoring the possibility that a is negative
  - Subtracts instead of divides
- source_sentence: '

    Construct: Construct frequency tables

    Subject: Frequency tables

    Question: Dave has recorded the number of pets his classmates have in the frequency
    table on the right. \begin{tabular}{|c|c|}

    \hline Number of pets & Frequency \\

    \hline \( 0 \) & \( 4 \) \\

    \hline \( 1 \) & \( 6 \) \\

    \hline \( 2 \) & \( 3 \) \\

    \hline \( 3 \) & \( 2 \) \\

    \hline \( 4 \) & \( 5 \) \\

    \hline

    \end{tabular} If Dave wanted to work out the total number of pets own by his classmates,
    what would be a useful column to include?

    Incorrect Answer: Number of pets -

    Frequency

    Correct Answer: Number of pets \( x \) Frequency

    '
  sentences:
  - Subtracts rather than multiplies when calculating total frequency
  - Does not follow the arrows through a function machine, changes the order of the
    operations asked.
  - 'Believes the intersection in a prime factor venn diagram does not contribute
    to the size of the number represented by a circle '
---

# SentenceTransformer based on BAAI/bge-large-en-v1.5

This is a [sentence-transformers](https://www.SBERT.net) model finetuned from [BAAI/bge-large-en-v1.5](https://huggingface.co/BAAI/bge-large-en-v1.5). 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

### Model Description
- **Model Type:** Sentence Transformer
- **Base model:** [BAAI/bge-large-en-v1.5](https://huggingface.co/BAAI/bge-large-en-v1.5) <!-- at revision d4aa6901d3a41ba39fb536a557fa166f842b0e09 -->
- **Maximum Sequence Length:** 512 tokens
- **Output Dimensionality:** 1024 tokens
- **Similarity Function:** Cosine Similarity
<!-- - **Training Dataset:** Unknown -->
<!-- - **Language:** Unknown -->
<!-- - **License:** Unknown -->

### Model Sources

- **Documentation:** [Sentence Transformers Documentation](https://sbert.net)
- **Repository:** [Sentence Transformers on GitHub](https://github.com/UKPLab/sentence-transformers)
- **Hugging Face:** [Sentence Transformers on Hugging Face](https://huggingface.co/models?library=sentence-transformers)

### Full Model Architecture

```
SentenceTransformer(
  (0): Transformer({'max_seq_length': 512, 'do_lower_case': True}) 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): Normalize()
)
```

## 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 SentenceTransformer

# Download from the 🤗 Hub
model = SentenceTransformer("VaggP/bge-fine-tuned")
# Run inference
sentences = [
    '\nConstruct: Construct frequency tables\nSubject: Frequency tables\nQuestion: Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{|c|c|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & \\( 3 \\) \\\\\n\\hline \\( 3 \\) & \\( 2 \\) \\\\\n\\hline \\( 4 \\) & \\( 5 \\) \\\\\n\\hline\n\\end{tabular} If Dave wanted to work out the total number of pets own by his classmates, what would be a useful column to include?\nIncorrect Answer: Number of pets -\nFrequency\nCorrect Answer: Number of pets \\( x \\) Frequency\n',
    'Subtracts rather than multiplies when calculating total frequency',
    'Does not follow the arrows through a function machine, changes the order of the operations asked.',
]
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]
```

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### Downstream Usage (Sentence Transformers)

You can finetune this model on your own dataset.

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

</details>
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## Training Details

### Training Dataset

#### Unnamed Dataset


* Size: 4,370 training samples
* Columns: <code>sentence_0</code>, <code>sentence_1</code>, and <code>label</code>
* Approximate statistics based on the first 1000 samples:
  |         | sentence_0                                                                          | sentence_1                                                                        | label                                                         |
  |:--------|:------------------------------------------------------------------------------------|:----------------------------------------------------------------------------------|:--------------------------------------------------------------|
  | type    | string                                                                              | string                                                                            | float                                                         |
  | details | <ul><li>min: 38 tokens</li><li>mean: 98.75 tokens</li><li>max: 414 tokens</li></ul> | <ul><li>min: 4 tokens</li><li>mean: 14.91 tokens</li><li>max: 38 tokens</li></ul> | <ul><li>min: 1.0</li><li>mean: 1.0</li><li>max: 1.0</li></ul> |
* Samples:
  | sentence_0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     | sentence_1                                                                                   | label            |
  |:-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|:---------------------------------------------------------------------------------------------|:-----------------|
  | <code><br>Construct: Construct a pictogram involving fractions of symbols<br>Subject: Pictogram<br>Question: This pictogram shows the different types of music Bob has in his music collection.<br>Bob has \( 2 \) rave CDs.<br><br>How would he display this on the pictogram? ![A pictogram showing the number of CDs Bob has in his musical collection. Pop has 3 and a half symbols, rock has 2 symbols, blues has 2 and a quarter symbols, jazz has 3 and a quarter symbols and classical has 1 and three-quarter symbols. Each symbol represents 4 CDs.]()<br>Incorrect Answer: ![\( 00 \)]()<br>Correct Answer: ![\( 0 \)]()<br></code> | <code>When interpreting a pictogram, thinks each symbol stands for 1</code>                  | <code>1.0</code> |
  | <code><br>Construct: Use brackets to write function machines as calculations<br>Subject: Writing Expressions<br>Question: Tom and Katie are arguing about the result of this Function Machine:<br>Tom says the output is: \( 3 n-12 \)<br>Katie says the output is: \( 3(n-4) \)<br>Who is correct? ![A function machine with input n and operations subtract 4, multiply by 3]()<br>Incorrect Answer: Only Tom<br>Correct Answer: Both Tom and Katie<br></code>                                                                                                                                                                               | <code>Does not think a factorised expression is equivalent to its multiplied out form</code> | <code>1.0</code> |
  | <code><br>Construct: Interpret linear sections of real life graphs<br>Subject: Real Life Graphs<br>Question: The graph on the right shows the mass of sand in a bucket over time<br><br>What might the horizontal section represent? ![A graph with time (secs) on the horizontal axis and mass (g) on the vertical axis. The graph starts at the origin, travels in a straight line up and right, travels horizontally, then travels in a straight line down and right back to the x-axis, more steeply than the start. ]()<br>Incorrect Answer: Sand is being tipped out<br>Correct Answer: The bucket is full<br></code>                    | <code>Believes a horizontal line can show a constant rate of change</code>                   | <code>1.0</code> |
* Loss: [<code>CosineSimilarityLoss</code>](https://sbert.net/docs/package_reference/sentence_transformer/losses.html#cosinesimilarityloss) with these parameters:
  ```json
  {
      "loss_fct": "torch.nn.modules.loss.MSELoss"
  }
  ```

### Training Hyperparameters
#### Non-Default Hyperparameters

- `num_train_epochs`: 1
- `multi_dataset_batch_sampler`: round_robin

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

- `overwrite_output_dir`: False
- `do_predict`: False
- `eval_strategy`: no
- `prediction_loss_only`: True
- `per_device_train_batch_size`: 8
- `per_device_eval_batch_size`: 8
- `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`: 5e-05
- `weight_decay`: 0.0
- `adam_beta1`: 0.9
- `adam_beta2`: 0.999
- `adam_epsilon`: 1e-08
- `max_grad_norm`: 1
- `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`: False
- `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`: False
- `hub_always_push`: False
- `gradient_checkpointing`: False
- `gradient_checkpointing_kwargs`: None
- `include_inputs_for_metrics`: False
- `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
- `dispatch_batches`: None
- `split_batches`: 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
- `batch_sampler`: batch_sampler
- `multi_dataset_batch_sampler`: round_robin

</details>

### Training Logs
| Epoch  | Step | Training Loss |
|:------:|:----:|:-------------:|
| 0.9141 | 500  | 0.0055        |


### Framework Versions
- Python: 3.10.14
- Sentence Transformers: 3.2.0
- Transformers: 4.45.1
- PyTorch: 2.4.0
- Accelerate: 0.34.2
- Datasets: 3.0.1
- Tokenizers: 0.20.0

## 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",
}
```

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