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README.md
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# Model Card for Model ID
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<!-- Provide a quick summary of what the model is/does. -->
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## Model Details
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### Model Description
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<!-- Provide a longer summary of what this model is. -->
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- **Developed by:** [More Information Needed]
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- **Funded by [optional]:** [More Information Needed]
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- **Shared by [optional]:** [More Information Needed]
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- **Model type:** [More Information Needed]
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- **Language(s) (NLP):** [More Information Needed]
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- **License:** [More Information Needed]
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- **Finetuned from model [optional]:** [More Information Needed]
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### Model Sources [optional]
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<!-- Provide the basic links for the model. -->
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- **Repository:** [More Information Needed]
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- **Paper [optional]:** [More Information Needed]
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- **Demo [optional]:** [More Information Needed]
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## Uses
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<!-- Address questions around how the model is intended to be used, including the foreseeable users of the model and those affected by the model. -->
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### Direct Use
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<!-- This section is for the model use without fine-tuning or plugging into a larger ecosystem/app. -->
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[More Information Needed]
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### Downstream Use [optional]
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<!-- This section is for the model use when fine-tuned for a task, or when plugged into a larger ecosystem/app -->
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[More Information Needed]
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### Out-of-Scope Use
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<!-- This section addresses misuse, malicious use, and uses that the model will not work well for. -->
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[More Information Needed]
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## Bias, Risks, and Limitations
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<!-- This section is meant to convey both technical and sociotechnical limitations. -->
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[More Information Needed]
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### Recommendations
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<!-- This section is meant to convey recommendations with respect to the bias, risk, and technical limitations. -->
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Users (both direct and downstream) should be made aware of the risks, biases and limitations of the model. More information needed for further recommendations.
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## How to Get Started with the Model
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Use the code below to get started with the model.
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[More Information Needed]
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## Training Details
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### Training Data
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<!-- This should link to a Dataset Card, perhaps with a short stub of information on what the training data is all about as well as documentation related to data pre-processing or additional filtering. -->
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[More Information Needed]
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### Training Procedure
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<!-- This relates heavily to the Technical Specifications. Content here should link to that section when it is relevant to the training procedure. -->
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#### Preprocessing [optional]
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[More Information Needed]
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#### Training Hyperparameters
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- **Training regime:** [More Information Needed] <!--fp32, fp16 mixed precision, bf16 mixed precision, bf16 non-mixed precision, fp16 non-mixed precision, fp8 mixed precision -->
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#### Speeds, Sizes, Times [optional]
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<!-- This section provides information about throughput, start/end time, checkpoint size if relevant, etc. -->
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[More Information Needed]
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## Evaluation
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<!-- This section describes the evaluation protocols and provides the results. -->
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### Testing Data, Factors & Metrics
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#### Testing Data
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<!-- This should link to a Dataset Card if possible. -->
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[More Information Needed]
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#### Factors
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<!-- These are the things the evaluation is disaggregating by, e.g., subpopulations or domains. -->
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[More Information Needed]
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#### Metrics
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<!-- These are the evaluation metrics being used, ideally with a description of why. -->
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[More Information Needed]
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### Results
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[More Information Needed]
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#### Summary
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## Model Examination [optional]
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<!-- Relevant interpretability work for the model goes here -->
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[More Information Needed]
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## Environmental Impact
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<!-- Total emissions (in grams of CO2eq) and additional considerations, such as electricity usage, go here. Edit the suggested text below accordingly -->
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Carbon emissions can be estimated using the [Machine Learning Impact calculator](https://mlco2.github.io/impact#compute) presented in [Lacoste et al. (2019)](https://arxiv.org/abs/1910.09700).
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- **Hardware Type:** [More Information Needed]
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- **Hours used:** [More Information Needed]
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- **Cloud Provider:** [More Information Needed]
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- **Compute Region:** [More Information Needed]
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- **Carbon Emitted:** [More Information Needed]
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## Technical Specifications [optional]
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### Model Architecture and Objective
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[More Information Needed]
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### Compute Infrastructure
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[More Information Needed]
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#### Hardware
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[More Information Needed]
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#### Software
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[More Information Needed]
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## Citation [optional]
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<!-- If there is a paper or blog post introducing the model, the APA and Bibtex information for that should go in this section. -->
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**BibTeX:**
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[More Information Needed]
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**APA:**
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[More Information Needed]
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## Glossary [optional]
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<!-- If relevant, include terms and calculations in this section that can help readers understand the model or model card. -->
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[More Information Needed]
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## More Information [optional]
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[More Information Needed]
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## Model Card Authors [optional]
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[More Information Needed]
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## Model Card Contact
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[More Information Needed]
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### Framework versions
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- PEFT 0.17.0
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# JEE NUJAN Math Expert 🎯📚
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**The Ultimate JEE Mathematics AI Tutor - Fine-tuned Specialist**
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This is a fine-tuned version of [JEE NUJAN Mix v2 Base](https://huggingface.co/shivs28/jee_nujan_mix_v2_base) specifically trained on JEE-style mathematics problems to excel at Indian competitive exam mathematics.
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## 🏆 Model Details
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- **Base Model**: `shivs28/jee_nujan_mix_v2_base`
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- **Fine-tuning Dataset**: 500+ JEE-relevant mathematics problems from MATH dataset
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- **Training Steps**: 150 (optimized for mathematical reasoning)
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- **LoRA Configuration**: Rank 32, Alpha 64 (high-performance setup)
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- **Specialization**: JEE Main & Advanced mathematics problems
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## 🎯 Mathematical Capabilities
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This model excels at:
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### Core JEE Topics
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- **Algebra**: Quadratic equations, inequalities, sequences & series
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- **Calculus**: Limits, derivatives, integrals, applications
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- **Coordinate Geometry**: Lines, circles, parabolas, ellipses, hyperbolas
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- **Trigonometry**: Identities, equations, inverse functions
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- **Probability**: Conditional probability, distributions, combinatorics
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- **Number Theory**: Divisibility, modular arithmetic, prime numbers
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- **Vector Algebra**: Dot product, cross product, scalar triple product
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### Problem-Solving Approach
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- **Step-by-step Solutions**: Clear mathematical progression
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- **Multiple Methods**: Shows different approaches when applicable
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- **Error Prevention**: Highlights common JEE mistakes
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- **Time-Efficient**: Optimized for exam conditions
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## 🚀 Usage Examples
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### Basic Usage
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```python
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from transformers import AutoTokenizer, AutoModelForCausalLM
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model_name = "shivs28/jee_nujan_math_expert"
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tokenizer = AutoTokenizer.from_pretrained(model_name, trust_remote_code=True)
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model = AutoModelForCausalLM.from_pretrained(model_name, trust_remote_code=True)
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# JEE problem format
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jee_prompt = '''<|problem|>
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Find the number of real solutions of the equation x³ - 3x² + 2x - 1 = 0 in the interval [0, 3].
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<|solution|>'''
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inputs = tokenizer(jee_prompt, return_tensors="pt")
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outputs = model.generate(
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**inputs,
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max_length=800,
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temperature=0.1, # Low temperature for mathematical accuracy
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do_sample=True,
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pad_token_id=tokenizer.pad_token_id,
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repetition_penalty=1.05
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)
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solution = tokenizer.decode(outputs[0], skip_special_tokens=True)
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print(solution)
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```
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### Advanced JEE Problem
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```python
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complex_problem = '''<|problem|>
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In triangle ABC, if a = 7, b = 8, c = 9, find:
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1. The area of triangle ABC
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2. The radius of the circumscribed circle
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3. The radius of the inscribed circle
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<|solution|>'''
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# Generate comprehensive solution
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inputs = tokenizer(complex_problem, return_tensors="pt")
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outputs = model.generate(
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**inputs,
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max_length=1200,
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temperature=0.05, # Very low for multi-step problems
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top_p=0.95,
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do_sample=True,
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pad_token_id=tokenizer.pad_token_id
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)
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```
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## ⚙️ Recommended Generation Settings
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### For JEE Main Problems
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```python
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generation_config = {
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"max_length": 800,
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"temperature": 0.1,
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"top_p": 0.95,
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"do_sample": True,
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"repetition_penalty": 1.05,
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"pad_token_id": tokenizer.pad_token_id
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}
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```
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### For JEE Advanced Problems
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```python
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advanced_config = {
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"max_length": 1200, # Longer for complex solutions
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"temperature": 0.05, # Very low for accuracy
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"top_p": 0.9,
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"do_sample": True,
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"repetition_penalty": 1.1,
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"pad_token_id": tokenizer.pad_token_id
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}
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```
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## 🎯 Training Details
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- **Architecture**: LoRA fine-tuning on base model
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- **Training Data**: Carefully curated JEE-relevant problems
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- **Optimization**: Focused on mathematical reasoning patterns
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- **Validation**: Tested on held-out JEE problems
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### LoRA Configuration
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- **Rank (r)**: 32
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- **Alpha**: 64
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- **Dropout**: 0.1
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- **Target Modules**: All attention and MLP layers
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- **Trainable Parameters**: ~2.1% of total parameters
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## 🏅 Best Practices for JEE Preparation
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1. **Use specific problem format**: Always use `<|problem|>` and `<|solution|>` tags
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2. **Low temperature**: Use 0.05-0.1 for mathematical accuracy
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3. **Adequate length**: Set max_length based on problem complexity
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4. **Multiple attempts**: Try different seeds for various solution approaches
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5. **Verify results**: Always cross-check mathematical calculations
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## 📈 Use Cases
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### For Students
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- **Practice Problems**: Generate solutions with explanations
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- **Concept Clarification**: Understand mathematical reasoning
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- **Exam Preparation**: Practice with JEE-style problems
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- **Error Analysis**: Learn from common mistakes
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### For Educators
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- **Solution Generation**: Create detailed problem solutions
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- **Teaching Aid**: Step-by-step mathematical explanations
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- **Problem Variation**: Generate similar problems for practice
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- **Assessment**: Evaluate student understanding
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## 🔧 Technical Specifications
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- **Base Architecture**: Transformer-based language model
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| 151 |
+
- **Fine-tuning Method**: LoRA (Low-Rank Adaptation)
|
| 152 |
+
- **Precision**: 16-bit floating point
|
| 153 |
+
- **Context Length**: 768 tokens (optimized for detailed solutions)
|
| 154 |
+
- **Vocabulary**: Extended with mathematical notation
|
| 155 |
+
|
| 156 |
+
## 📝 Citation
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| 157 |
+
|
| 158 |
+
If you use this model in your research or educational content, please cite:
|
| 159 |
+
|
| 160 |
+
```bibtex
|
| 161 |
+
@model{jee_nujan_math_expert,
|
| 162 |
+
title={JEE NUJAN Math Expert: Fine-tuned Mathematics Specialist},
|
| 163 |
+
author={shivs28},
|
| 164 |
+
year={2025},
|
| 165 |
+
url={https://huggingface.co/shivs28/jee_nujan_math_expert}
|
| 166 |
+
}
|
| 167 |
+
```
|
| 168 |
+
|
| 169 |
+
## 🤝 Contributing
|
| 170 |
+
|
| 171 |
+
Found an issue or have suggestions? Open an issue on the model repository!
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