RLCC-ascending-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 hard-to-easy (ascending 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)	0.437
ECE	0.347
PCE	0.344
Brier score	0.34
AUROC	0.713

Table 11 of the paper (RLCC-A across models).

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}
}