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metadata
base_model: microsoft/Phi-4-mini-instruct
datasets:
  - mehuldamani/big-math-digits
library_name: transformers
tags:
  - rl-verify
  - grpo
  - reasoning
  - calibration
license: other

RLCC-phi4mini-bigmathdigits5000-n3

This model is Phi-4-mini-instruct trained with RLCC (Reinforcement Learning with Confidence Curriculum) on Big-Math-digits. RLCC uses the calibrated confidence produced by an RLCR checkpoint as a difficulty signal: the training set is partitioned into K = 3 shuffled groups, each sorted easy-to-hard (descending confidence), then concatenated into the curriculum. Training starts fresh from the base model (not from the RLCR checkpoint) with the same reward and GRPO optimization as RLCR/RLVR — only the order of training data differs.

Results

Metric Value
Accuracy (held-out) 0.447
ECE 0.395
PCE 0.394
Brier score 0.326
AUROC 0.723

Table 4 of the paper.

LoRA

LoRA target modules: qkv_proj, o_proj, gate_up_proj, down_proj (explicitly specified).

Rank 16, alpha 32, dropout 0.05.

Training details

  • Algorithm: GRPO, 1 epoch, per-device batch size 1, KL penalty β = 0, AdamW (8-bit), max grad norm 1.0.
  • Dataset: mehuldamani/big-math-digits, 5,000 training samples, 1,000 held-out for evaluation.
  • Rollouts: vLLM, temperature 0.7, 32 generations per prompt, effective rollout batch size 1,024.
  • Learning rate: 5e-6, linear schedule, warmup ratio 0.20.
  • Max response length: 1,024 tokens.
  • Answer judging: rule-based (exact match on extracted final answer).
  • Compute: single RTX 3090 (16-36 GPU-hours) except Qwen3-4B (single A100, 13-19 GPU-hours).

Citation

This checkpoint accompanies the paper "Confidence as Curriculum: Reinforcement Learning for Joint Reasoning and Calibration" (currently under anonymous peer review). A formal citation will be added once the paper is public. It builds directly on:

@inproceedings{damani2026rlcr,
  title     = {Beyond Binary Rewards: Training {LM}s to Reason about their Uncertainty},
  author    = {Damani, Mehul and Puri, Isha and Slocum, Stewart and Shenfeld, Idan and Choshen, Leshem and Kim, Yoon and Andreas, Jacob},
  booktitle = {The Fourteenth International Conference on Learning Representations},
  year      = {2026}
}