README.md

---
license: mit
language:
- en
tags:
- chemistry
- physics
- math
- biology
- science
pretty_name: open-rl
size_categories:
- n<1K
task_categories:
- question-answering
---

# Open-RL

[![License: MIT](https://img.shields.io/badge/License-MIT-green.svg)](https://opensource.org/licenses/MIT)
[![Turing](https://img.shields.io/badge/Org-Turing-blue)](https://turing.com)

---

## Dataset Summary

This dataset contains **self-contained, verifiable, and unambiguous STEM reasoning problems** across Physics, Mathematics, Biology, and Chemistry.

Each problem:

* Requires multi-step reasoning
* Involves symbolic manipulation and/or numerical computation
* Has a deterministic, objectively verifiable final answer

The problems were evaluated against contemporary large language models. Observed pass rates indicate that the tasks are **non-trivial yet solvable**, placing them within reach of advanced models while still exposing meaningful reasoning gaps.

This makes the dataset particularly suitable for:

* Reinforcement learning (RL) fine-tuning
* Reward modeling
* Outcome-supervised training
* Verifiable reasoning benchmarks

---

## Dataset Structure

| Field             | Type   | Description                               |
| ----------------- | ------ | ----------------------------------------- |
| `conversation_id` | string | Unique identifier for each QA pair.       |
| `domain`          | string | Physics, Math, Chemistry, Biology.        |
| `sub_domain`      | string | Specific discipline.                      |
| `question`        | string | STEM problem statement (LaTeX supported). |
| `answer`          | string | Deterministic ground-truth solution.      |

---

## Example

```json
{
  "conversation_id": "217998",
  "domain": "Physics",
  "sub_domain": "Astrophysics",
  "question": "Consider a Navarro–Frenk–White (NFW) dark matter halo profile where...",
  "answer": "\( \frac{4GM_{0}}{r_{0}} + \frac{16\pi Gk}{r_{0}}\left[ \ln\left(\frac{r_{0}}{r_{s}}\right) + 0.31 \right] \)"
}
```

---

## Verifiability and Automatic Grading

A core design principle of this dataset is **objective verifiability**.

Each problem is constructed such that:

* The final answer is deterministic
* Correctness can be evaluated programmatically
* No subjective interpretation is required
* There is a clear separation between reasoning steps and final outcome

### Answer Types

The dataset includes answers that are:

* Closed-form symbolic expressions
* Numerical scalars
* Algebraic identities
* Simplified analytic forms
* Canonical LaTeX representations

Because answers are deterministic, evaluation can be performed via:

* Exact string matching (after normalization)
* Symbolic equivalence checking (e.g., SymPy)
* Numerical tolerance comparison
* Unit consistency validation (where applicable)

---

## Data Quality Assurance Process

To ensure scientific validity of the answer, all tasks are prepared and reviewed twice by PhD experts.

Key quality rubrics include:

* Prompt and answer accuracy 
* Clarity of prompt and underlying reasoning 
* Expert-verified model breaking cases due to model’s incorrect reasoning process
* Google-proof originality validation.

---

## Reinforcement Learning and Outcome Supervision

This dataset is designed to support **outcome-based reinforcement learning** for reasoning models.

In contrast to preference-based RL (RLHF), which relies on subjective ranking signals, this dataset enables:

* Outcome-supervised reinforcement learning (OSRL)
* Deterministic reward assignment
* Binary or graded correctness rewards
* Scalable automated evaluation

### Example RL Setup

Given:

* Prompt: `question`
* Model output: predicted final answer

Reward can be computed as:

* `+1` if the final answer matches ground truth
* `0` or `-1` otherwise
* Optional partial credit via symbolic or numerical closeness

This allows:

* Policy gradient methods (e.g., PPO)
* Direct optimization against correctness signals
* Reward model bootstrapping
* Iterative self-improvement pipelines

### Calibration Regime

The problems were stress-tested against advanced language models and found to be:

* Not trivially solved
* Not universally failed
* Within the capability frontier of modern LLMs

This places them in a **learning-efficient regime**:

* Hard enough to produce gradient signal
* Solvable enough to avoid reward sparsity
* Suitable for curriculum-style training

---


## Future Directions: NuRL and Structured Nudging

We plan to extend this dataset with additional problem sets and a structured **"nudge" augmentation layer** inspired by the paper *["Nudging the Boundaries of LLM Reasoning"](https://arxiv.org/html/2509.25666v1)*.

### Motivation

Standard online RL algorithms (e.g., GRPO-style approaches) can only learn from problems where the model occasionally produces correct rollouts. For sufficiently difficult problems with a **0% pass rate**, no reward signal is generated, and therefore no gradient updates occur. As a result, such problems cannot contribute to expanding the model’s reasoning frontier.

### NuRL-Style Nudging

To address this limitation, future versions of this dataset will include:

* Abstract, high-level **hints ("nudges")**
* Hints generated conditionally using the gold answer
* Carefully designed cues that reduce problem difficulty without revealing the solution

Under a NuRL-style training pipeline:

1. Rollouts are first generated without hints.
2. If pass rate > 0%, standard RL proceeds.
3. If pass rate = 0%, a structured hint is injected.
4. A new batch of trajectories is generated with the hint.

This enables:

* Previously unsolvable samples to produce non-zero rewards
* Learning signal from frontier-level problems
* Expansion of the model’s upper reasoning bound

### Design Principles for Effective Nudges

Planned nudges will follow empirical findings from prior work:

* Hints should be **abstract and knowledge-oriented**, not answer-revealing
* Hints should preserve distributional alignment with base policy reasoning
* Hints should be injected only when necessary
* Nudges are most effective after base RL convergence

---

This evolution positions the dataset not only as a verifiable benchmark, but as a controlled testbed for **upper-bound expansion in reinforcement learning for reasoning models**.

---

## Citation

```bibtex
@dataset{turing_2026_open_rl,
  title        = {Open-RL },
  author       = {Saurabh Patil, Anshuman Lall, Marko Pavlovic , Chinmayee Shukla, Seetesh Pande, Tejass Mohan Ukarde , Amanda Gollo Bertollo, Mahesh Joshi, Kihwan Han},
  year         = {2026},
  url          = {https://huggingface.co/datasets/TuringEnterprises/Open-RL}
}
```