arXiv Statistics ML

Identities, Not Pairs: Distribution-Free False-Accept Control for Embedding-Based Verification

arXiv Machine Learning
Oct 16

Sharp and Stable Label-Free Calibration Certificates from Logical Coherence

The paper presents a framework for deriving sharp, label‑free calibration certificates for query‑conditioned probabilistic predictors. It establishes minimax lower bounds on calibration residuals under various betting restrictions, shows that these bounds can be discontinuous and that Lipschitz stakes yield stable, sharp bounds. The authors also demonstrate practical algorithms—projected online gradient ascent and anytime‑valid betting—for generating fixed‑horizon and anytime‑valid certificates, and validate the approach on a preregistered study of four predictors across two datasets.

By Takahiro Kato (NP-hard, Inc.)
arXiv AI
Sep 24

Ask Which, Not How Good: Sizing Benchmarks Scored by an LLM

The study analyzes 373,019 judgments from LLM‑scored benchmarks, decomposing variance into system, item, judge, and interaction components via generalizability theory. It finds that with a single judge, generalizability converges to a ceiling determined by the system‑by‑judge variance, which is substantially lower in pairwise preference settings, allowing one judge to suffice. The research also reveals significant biases in presentation order and highlights that many published win‑rate claims fall below the measured floor of the benchmarks.

By Atul Anand
arXiv Machine Learning
Jun 9

A Joint Finite-Sample Certificate for Adaptive Selective Conformal Risk Control

arXiv:2606. 08517v1 Announce Type: new Abstract: Selective predictors answer on confident inputs and abstain elsewhere; deploying one safely needs a single finite-sample certificate that simultaneously upper-bounds the selected risk, lower-bounds the acceptance probability $\pacc$ above a floor $\pmin$, and lower-bounds the deployment utility.

By Xiaoli Yu, Jiamiao Liu
arXiv Machine Learning
Aug 10

Sub-Quadratic Bisimulation Metrics via Approximate Nearest Neighbors: Coverage-Augmented Guarantees and Computable Two-Sided Certificates

arXiv:2608. 06762v1 Announce Type: new Abstract: Bisimulation metrics quantify behavioral similarity in Markov decision processes, but their Wasserstein fixed-point operator updates every state pair and incurs quadratic pairwise work.

By Ibne Farabi Shihab, Joyanta Jyoti Mondal
arXiv Machine Learning
Sep 25

How Many Humans Are 32 LLM Judges Worth?

The paper investigates how many human annotators are equivalent to a panel of 32 large‑language‑model (LLM) judges. By comparing the panel’s label distributions to empirical human labels on three ChaosNLI tasks, the authors find two distinct effective panel sizes: distribution‑error matching yields effective sizes of 2.304, 3.750, and 3.445, while spectral matching gives 4.242, 6.459, and 6.499, indicating a 1.72–1.89× gap. The study also explores how spectral diversity, participation ratio, and panel composition affect effective size, and demonstrates that carefully chosen panels can outperform baseline accuracy while improving effective size.

By Chao Li, Yingying Yu, Yunfeng Li
arXiv AI
Oct 23

When Are We Near Nash? Certifying Solutions in General-Sum Games

The paper introduces a method for certifying the quality of solutions produced by heuristic solvers for general‑sum extensive‑form games. By relating the Nash gap of a weighted average strategy to external regret and a signed correction term, the authors derive an online certificate that can be computed in linear time per checkpoint. Experiments on the biased Leduc family show that selecting the iterate with the smallest certificate from a portfolio of training‑free regret‑matching solvers achieves high success rates across multiple test sets.

By Boning Li, Longbo Huang