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Model: PhysicsWallahAI/Aryabhata-1.0
Source: Original Platform

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README.md

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+---
+license: cc-by-nc-4.0
+tags:
+- small-language-model
+- jee
+- exam-centric
+- indian-education
+- reinforcement-learning
+- supervised-finetuning
+- model-merging
+- rejection-sampling
+- mathematics
+- ai4education
+- physicswallah
+language:
+- en
+model_name: PhysicsWallah/Aryabhata-1.0
+model_creator: Physics Wallah AI Research
+model_type: Causal decoder-based model
+base_model: Qwen/Qwen2.5-Math-7B
+pipeline_tag: text-generation
+library_name: transformers
+---
+
+# Aryabhatta 1.0 : An exam-focused language model for JEE Math
+
+![](benchmark.png)
+
+## Overview
+
+**Aryabhata 1.0** is a 7B parameter small language model for mathematics developed by **Physics Wallah AI Research**, optimized for high-stakes Indian competitive exams like **JEE Mains**. Despite its compact size, Aryabhata 1.0 achieves **state-of-the-art performance** on exam-centric reasoning tasks with impressive **token efficiency** and low inference cost.
+
+
+> 🚧 *Aryabhata 1.0 is an **experimental release**. We are actively seeking feedback — please contribute in the Discussion tab of this repo.*
+---
+
+## 🧠 Key Features
+
+- **Architecture**: 7B parameter causal decoder-based model.
+- **Exam-Centric Optimization**: Specifically tuned for JEE-level Mathematics reasoning.
+- **High Accuracy**:
+  - **86%** on **JEE Mains January 2025** session.
+  - **90.2%** on **JEE Mains April 2025** session.
+- **Token Efficiency**: Operates effectively around a **~2K token window**, compared to ~8K required by other reasoning models.
+- **Compute Efficient**: Trained on a **1x2 NVIDIA H100 GPU** using optimized pipeline.
+
+---
+
+## 🛠️ Training Details
+
+- **Training Data**: ~130K problem-solution pairs curated from proprietary Physics Wallah exam datasets.
+- **Training Pipeline**:
+  - **Model Merging**
+  - **Rejection Sampling**
+  - **Supervised Fine-Tuning (SFT)**
+  - **Reinforcement Learning with Verifiable Rewards (RLVR)**
+
+### 🔀 Model Merging
+We began with model merging (Weighted average) to build a strong initialization (Aryabhata 0.5) by combining diverse model capabilities:
+* Qwen 2.5 Math: A robust math-centric LLM with solid symbolic math foundations.
+* Ace Math: An enhanced version of Qwen 2.5 Math, fine-tuned by NVIDIA for improved accuracy in mathematics benchmarks.
+* DeepSeek R1 Distill Qwen: A long-form reasoning model, fine-tuned on reasoning traces distilled from DeepSeek R1.
+
+### 📚 Data Curation + Rejection Sampling
+We extracted ~250K raw questions from Physics Wallah's internal database and applied aggressive filtering and cleaning:
+* Removed: diagram-based, non-English, and option-heavy questions.
+* Kept: questions matching the distribution of JEE Main 2019–2024.
+Final curated dataset: ~130K high-quality questions.
+
+For each question:
+* Generated 4 CoTs using Aryabhata 0.5.
+* Retained only those leading to correct final answers.
+
+Resulting Dataset:
+* ~100K questions
+* ~350K high-quality CoTs
+
+We used this dataset for SFT.
+
+### 🎯 Reinforcement Learning with Verifiable Rewards (RLVR)
+We used a custom in-house variant of Group Relative Policy Optimization (GRPO), adapted for math-specific reward functions.
+* Removed KL-divergence penalty
+* Removed clipping
+
+We used RLVR on the remaining ~30K questions.
+
+This multi-phase training strategy allows Aryabhata 1.0 to capture **pedagogy-aligned reasoning patterns**, making it highly effective for solving real student queries in mathematics.
+
+---
+
+## 📊 Performance Highlights
+
+### Evaluation Setup
+All evaluations were performed with temperature = 0.0, and we report pass@1 accuracy.
+
+#### Evaluation Datasets
+We evaluated the model on two sets of official JEE Mains 2025 mathematics papers:
+* January Session: 10 question papers containing 250 questions.
+* April Session: 9 question papers containing 225 questions.
+
+Each paper includes a mix of:
+* Multiple Choice Questions (MCQs) with one correct option
+* Numeric Answer Type (NAT) questions requiring precise numerical responses
+
+#### Evaluation Metric
+We used a composite evaluation metric to reflect real-world grading rigor and reduce false positives:
+
+1. Float Match
+  * Compares predicted and target answers within a tolerance (±1e-9)
+  * Handles rounding artifacts and small numerical errors robustly
+2. String Match
+  * Used for symbolic answers (e.g., fractions, radicals)
+  * Uses strict exact match — predictions must match ground truth character-for-character
+3. LLM-as-Judge (GPT-4o-mini)
+  * Used for Mathematical equivalence for ambiguous formats
+
+### 🔹 Accuracy Comparison Across Models
+![](accuracy.png)
+> *Aryabhata has the best accuracy on JEE Main Maths, on par with frontier models*
+
+### 🔹 Accuracy vs Token Usage
+![](accuracy-vs-token.png)
+> *Aryabhata is on par with frontier models in terms of accuracy vs token usage*
+
+---
+
+## 🔧 Intended Use
+
+**Primary Use Cases**:
+- Competitive exam preparation (JEE Main level mathematics problems)
+- Question answering and doubt-solving systems
+- Educational tutoring and concept explanation
+
+
+## 💡 How to Use
+
+### 🧪 Using with 🤗 Transformers
+
+```python
+from transformers import AutoTokenizer, AutoModelForCausalLM, GenerationConfig
+
+model_id = "PhysicsWallahAI/Aryabhata-1.0"
+
+tokenizer = AutoTokenizer.from_pretrained(model_id)
+model = AutoModelForCausalLM.from_pretrained(model_id)
+
+
+# Define stop strings
+stop_strings = ["<|im_end|>", "<|end|>", "<im_start|>", "⁠```python\n", "⁠<|im_start|>", "]}}]}}]"]
+
+def strip_bad_tokens(s, stop_strings):
+    for suffix in stop_strings:
+        if s.endswith(suffix):
+            return s[:-len(suffix)]
+    return s
+
+
+# Create generation config (can also set temperature, top_p, etc.)
+generation_config = GenerationConfig(
+    max_new_tokens=4096,
+    stop_strings = stop_strings
+)
+
+query = 'Find all the values of \\sqrt[3]{1}'
+messages = [{'role': 'system', 'content': 'Think step-by-step; put only the final answer inside \\boxed{}.'},
+            {'role': 'user', 'content': query}]
+
+text = tokenizer.apply_chat_template(
+    messages,
+    tokenize=False,
+    add_generation_prompt=True
+)
+inputs = tokenizer([text], return_tensors="pt")
+outputs = model.generate(**inputs, generation_config=generation_config, tokenizer=tokenizer)
+
+print(strip_bad_tokens(tokenizer.decode(outputs[0], skip_special_tokens=True), stop_strings))
+````
+
+---
+
+### ⚡ Using with vLLM
+
+To run the model efficiently using vLLM:
+
+```python
+from vllm import LLM, SamplingParams
+
+# Initialize model (downloads from Hugging Face if not local)
+llm = LLM(model="PhysicsWallahAI/Aryabhata-1.0")
+
+# Define prompt and sampling configuration
+query = 'Find all the values of \\sqrt[3]{1}'
+messages = [{'role': 'system', 'content': 'Think step-by-step; put only the final answer inside \\boxed{}.'},
+            {'role': 'user', 'content': query}]
+sampling_params = SamplingParams(temperature=0.0, max_tokens=4*1024, stop=["<|im_end|>", "<|end|>", "<im_start|>", "⁠```python\n", "⁠<|im_start|>", "]}}]}}]"])
+
+# Run inference
+results = llm.chat(messages, sampling_params)
+
+# Print result
+print(results[0].outputs[0].text.strip())
+```
+
+---
+
+Read more about Aryabhata 1.0 in our [Technical Report](https://arxiv.org/abs/2508.08665)
+
+---
+
+## 🚀 Roadmap
+
+**Aryabhata 2.0** (Upcoming):
+- Extending domain coverage to **Physics** and **Chemistry**
+- Supporting **JEE Advanced**, **NEET**, and **Foundation syllabus**
+- Further optimization for affordability and accuracy in real-time deployments
+
+---
+
+## 🤝 Citation
+
+If you use this model, please cite:
+
+```bibtex
+@misc{Aryabhata2025,
+  title = {Aryabhata 1.0: A compact, exam-focused language model tailored for mathematics in Indian competitive exams, especially JEE Main.},
+  author = {Physics Wallah AI Research},
+  year = {2025},
+  note = {\url{https://huggingface.co/PhysicsWallahAI/Aryabhata-1.0}},
+}

chat_template.jinja

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+{%- if tools %}
+    {{- '<|im_start|>system\n' }}
+    {%- if messages[0]['role'] == 'system' %}
+        {{- messages[0]['content'] }}
+    {%- else %}
+        {{- 'Please reason step by step, and put your final answer within \\boxed{}.' }}
+    {%- endif %}
+    {{- "\n\n# Tools\n\nYou may call one or more functions to assist with the user query.\n\nYou are provided with function signatures within <tools></tools> XML tags:\n<tools>" }}
+    {%- for tool in tools %}
+        {{- "\n" }}
+        {{- tool | tojson }}
+    {%- endfor %}
+    {{- "\n</tools>\n\nFor each function call, return a json object with function name and arguments within <tool_call></tool_call> XML tags:\n<tool_call>\n{\"name\": <function-name>, \"arguments\": <args-json-object>}\n</tool_call><|im_end|>\n" }}
+{%- else %}
+    {%- if messages[0]['role'] == 'system' %}
+        {{- '<|im_start|>system\n' + messages[0]['content'] + '<|im_end|>\n' }}
+    {%- else %}
+        {{- '<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end|>\n' }}
+    {%- endif %}
+{%- endif %}
+{%- for message in messages %}
+    {%- if (message.role == "user") or (message.role == "system" and not loop.first) or (message.role == "assistant" and not message.tool_calls) %}
+        {{- '<|im_start|>' + message.role + '\n' + message.content + '<|im_end|>' + '\n' }}
+    {%- elif message.role == "assistant" %}
+        {{- '<|im_start|>' + message.role }}
+        {%- if message.content %}
+            {{- '\n' + message.content }}
+        {%- endif %}
+        {%- for tool_call in message.tool_calls %}
+            {%- if tool_call.function is defined %}
+                {%- set tool_call = tool_call.function %}
+            {%- endif %}
+            {{- '\n<tool_call>\n{"name": "' }}
+            {{- tool_call.name }}
+            {{- '", "arguments": ' }}
+            {{- tool_call.arguments | tojson }}
+            {{- '}\n</tool_call>' }}
+        {%- endfor %}
+        {{- '<|im_end|>\n' }}
+    {%- elif message.role == "tool" %}
+        {%- if (loop.index0 == 0) or (messages[loop.index0 - 1].role != "tool") %}
+            {{- '<|im_start|>user' }}
+        {%- endif %}
+        {{- '\n<tool_response>\n' }}
+        {{- message.content }}
+        {{- '\n</tool_response>' }}
+        {%- if loop.last or (messages[loop.index0 + 1].role != "tool") %}
+            {{- '<|im_end|>\n' }}
+        {%- endif %}
+    {%- endif %}
+{%- endfor %}
+{%- if add_generation_prompt %}
+    {{- '<|im_start|>assistant\n' }}
+{%- endif %}

config.json

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+{
+  "architectures": [
+    "Qwen2ForCausalLM"
+  ],
+  "attention_dropout": 0.0,
+  "bos_token_id": 151643,
+  "eos_token_id": 151643,
+  "hidden_act": "silu",
+  "hidden_size": 3584,
+  "initializer_range": 0.02,
+  "intermediate_size": 18944,
+  "layer_types": [
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention",
+    "full_attention"
+  ],
+  "max_position_embeddings": 131072,
+  "max_window_layers": 28,
+  "model_type": "qwen2",
+  "num_attention_heads": 28,
+  "num_hidden_layers": 28,
+  "num_key_value_heads": 4,
+  "pad_token_id": 151643,
+  "rms_norm_eps": 1e-06,
+  "rope_scaling": null,
+  "rope_theta": 10000,
+  "sliding_window": null,
+  "tie_word_embeddings": false,
+  "torch_dtype": "float32",
+  "transformers_version": "4.53.1",
+  "use_cache": false,
+  "use_mrope": false,
+  "use_sliding_window": false,
+  "vocab_size": 152064
+}

configuration.json

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+{"framework": "pytorch", "task": "text-generation", "allow_remote": true}

generation_config.json

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+  "_from_model_config": true,
+  "bos_token_id": 151643,
+  "eos_token_id": 151643,
+  "transformers_version": "4.53.1"
+}

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