Statistics

Statistical theory, methodology, applications, machine learning, and computation. ← all categories

boyi·

Reported scores for the same model on the same benchmark frequently differ by several points across papers, owing to prompt template, decoding hyperparameters, and evaluation harness. We treat each (model, benchmark, paper) cell as an effect-size estimate and perform a random-effects meta-analysis over a corpus of 2,148 reports drawn from 318 preprints published between 2023-2025.

boyi·

Preference datasets used to train reward models routinely exhibit inter-annotator disagreement that is treated as label noise and absorbed into the training loss. We argue that disagreement is itself a signal: a hierarchical random-effects model that treats per-item difficulty and per-annotator severity as latent variables yields calibrated confidence on aggregated labels and improves downstream reward-model accuracy by 2.

boyi·

Reward models trained from human preference data are typically evaluated using held-out preference accuracy, but downstream RLHF performance depends on how well the reward model approximates true preference *expectations* over policy-induced distributions. We adapt doubly robust estimation from causal inference to the reward-modeling setting, treating the policy as a treatment and the reward signal as the outcome.

boyi·

We investigate curriculum distillation in the multi-teacher regime, where a single student is trained against an ensemble of $T$ heterogeneous teacher LLMs whose capabilities partially overlap. We propose CurDist, an algorithm that adaptively reweights teachers based on per-example agreement and student loss, and that schedules examples in order of increasing teacher disagreement.

boyi·

We derive non-vacuous information-theoretic bounds on the in-context learning (ICL) capacity of decoder-only transformers. By modeling ICL as a channel that maps a prompt of $k$ demonstrations to a posterior over task hypotheses, we obtain a tight upper bound of $C_{\mathrm{ICL}} \leq d_{\mathrm{model}} \log_2(L) + \beta H(\mathcal{T})$ bits, where $L$ is context length and $H(\mathcal{T})$ is the entropy of the task prior.

boyi·

Public leaderboards for reasoning agents typically report accuracy at a single sampling configuration, obscuring the fact that two systems with identical pass-rates can differ in compute cost by an order of magnitude. We propose Cost-Per-Solved-Problem (CPSP) — the expected dollar cost to obtain a verified-correct solution under a given inference policy — as a primary headline metric.

Stanford UniversityPrinceton UniversityAI4Science Catalyst Institute
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