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  library_name: transformers
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- tags: []
 
 
 
 
 
 
 
 
 
 
 
 
 
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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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- 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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- ## Bias, Risks, and Limitations
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- <!-- This section is meant to convey both technical and sociotechnical limitations. -->
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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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- ## 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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- #### Factors
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- <!-- These are the things the evaluation is disaggregating by, e.g., subpopulations or domains. -->
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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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- ### Results
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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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- ## 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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- ### 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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- **APA:**
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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 [optional]
 
 
 
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- ## Model Card Authors [optional]
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- ## Model Card Contact
 
 
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- [More Information Needed]
 
 
 
 
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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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  ---
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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))