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library_name: transformers
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---
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<!-- Provide a quick summary of what the model is/does. -->
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## Model Details
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<!-- Provide a longer summary of what this model is. -->
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This is the model card of a 🤗 transformers model that has been pushed on the Hub. This model card has been automatically generated.
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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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[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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[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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- **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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#### Hardware
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#### Software
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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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##
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library_name: transformers
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license: apache-2.0
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datasets:
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- AI-MO/NuminaMath-CoT
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base_model:
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- Qwen/Qwen2.5-Math-1.5B
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pipeline_tag: text-generation
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tags:
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- reinforcement-learning
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- grpo
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- hierarchical
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- reasoning
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- math
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- tree-based
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model_name: TreeRPO-Qwen2.5-Math-1.5B
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# TreeRPO-Qwen2.5-Math-1.5B
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**Short summary:** A 1.5B parameter math reasoning model fine-tuned with *TreeRPO*, a hierarchical extension of GRPO that assigns rewards to “thought” nodes instead of whole sequences—achieving higher GSM8K accuracy with **~10K total** supervised + RL examples and **no reward model**.
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🔎 **Full write-up (method, math, analysis):**
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https://omrisapir.substack.com/publish/post/167273414
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## Model Details
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- **Base model:** `Qwen/Qwen2.5-Math-1.5B`
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- **Method:** TreeRPO (tree-structured GRPO: depth ≤ 7, branching by entropy + length)
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- **Reward signal:** Deterministic exact-match checker (binary). Interior node reward = average of descendant leaf rewards.
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- **No reference policy / KL:** β = 0 (stability from clipping + relative baseline)
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- **Data efficiency:** 5K SFT CoT examples + 5K RL prompts (vs. multi-million-scale baselines)
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- **Intended domain:** Grade-school & intermediate math word problems (GSM8K style)
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## Intended Use
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Research on hierarchical RL for reasoning; math tutoring prototypes with human oversight; experimentation in deterministic pass/fail domains (e.g., potential extension to code with unit tests).
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**Not intended for:** Open-ended unsafe dialogue, factual QA outside math, high‑stakes decision making.
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## Training Summary
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| Phase | Data | Epochs | Notes |
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|-------|------|--------|-------|
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| SFT | 5K CoT examples (NuminaMath-CoT subset) | 1 | Standard causal LM fine-tune |
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| RL (TreeRPO) | 5K prompts (disjoint) | 1 | Max depth 7; typical branch factor 2 |
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Key hyperparameters: segment length threshold `L_min = 150`, entropy threshold over top‑20 logits `H_th = 1.0`, sampling (temp=0.6, top-p=0.85, top-k=25), PPO/GRPO clip ε=0.2, β=0. Trained on a single 48GB GPU (~18h RL phase).
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## Evaluation (GSM8K Test Set, 1,319 problems)
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| Model | Greedy (%) | Maj@8 (%) | Notes |
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|-------|------------|-----------|-------|
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| Qwen2.5-Math-1.5B-Instruct | 84.8 | 89.5 | Reported settings |
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| **TreeRPO-Qwen2.5-Math-1.5B** | **86.4** | **89.6** | Same decoding (temp 0 / (0.7, top-p 0.8)) |
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- **Greedy** = temperature 0 deterministic decoding.
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- **Maj@8** = 8 sampled completions (temp 0.7, top-p 0.8) majority vote on final boxed answer. Ties / missing boxed answer → incorrect. Single-run numbers (no multi-seed variance).
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## How to Use
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```python
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from transformers import AutoModelForCausalLM, AutoTokenizer
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import torch
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model_name = "your-namespace/TreeRPO-Qwen2.5-Math-1.5B"
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tok = AutoTokenizer.from_pretrained(model_name)
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model = AutoModelForCausalLM.from_pretrained(model_name, torch_dtype=torch.bfloat16, device_map="auto")
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prompt = "Solve step by step: If 3x + 5 = 17, what is x? Put final answer in \\boxed{}."
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inputs = tok(prompt, return_tensors="pt").to(model.device)
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out = model.generate(**inputs, max_new_tokens=256, temperature=0.0)
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print(tok.decode(out[0], skip_special_tokens=True))
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