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We present an extension to the robust phase estimation protocol, which can identify incorrect results that would otherwise lie outside the expected statistical range. Robust phase estimation is increasingly a method of choice for…

We construct evaluation tasks where extending the reasoning length of Large Reasoning Models (LRMs) deteriorates performance, exhibiting an inverse scaling relationship between test-time compute and accuracy. Our evaluation tasks span four…

Reinforcement Learning with Verifiable Rewards (RLVR)-based post-training of Large Language Models (LLMs) has been shown to improve accuracy on reasoning tasks and continues to attract significant attention. Existing RLVR methods, however,…

Artificial Intelligence · Computer Science 2025-10-22 Soumya Rani Samineni , Durgesh Kalwar , Vardaan Gangal , Siddhant Bhambri , Subbarao Kambhampati

A systematic, comparative investigation into the effects of low-quality data reveals a stark spectrum of robustness across modern probabilistic models. We find that autoregressive language models, from token prediction to…

Artificial Intelligence · Computer Science 2025-12-16 Liu Peng , Yaochu Jin

Scalable oversight protocols aim to empower evaluators to accurately verify AI models more capable than themselves. However, human evaluators are subject to biases that can lead to systematic errors. We conduct two studies examining the…

Human-Computer Interaction · Computer Science 2025-07-29 Gabriel Recchia , Chatrik Singh Mangat , Jinu Nyachhyon , Mridul Sharma , Callum Canavan , Dylan Epstein-Gross , Muhammed Abdulbari

Test-time compute scaling allocates inference computation uniformly, uses fixed sampling strategies, and applies verification only for reranking. In contrast, we propose a verifier-guided adaptive framework treating reasoning as iterative…

Computation and Language · Computer Science 2026-04-08 Ahsan Bilal , Ahmed Mohsin , Muhammad Umer , Ali Subhan , Hassan Rizwan , Ayesha Mohsin , Dean Hougen

Selective classifiers improve model reliability by abstaining on inputs the model deems uncertain. However, few practical approaches achieve the gold-standard performance of a perfect-ordering oracle that accepts examples exactly in order…

Machine Learning · Computer Science 2025-10-27 Stephan Rabanser , Nicolas Papernot

The estimated accuracy of a classifier is a random quantity with variability. A common practice in supervised machine learning, is thus to test if the estimated accuracy is significantly better than chance level. This method of signal…

Methodology · Statistics 2020-01-28 Jonathan D. Rosenblatt , Yuval Benjamini , Roee Gilron , Roy Mukamel , Jelle J. Goeman

Self-improvement at scale has been a longstanding goal for reasoning models, and there are two natural places to do it: at test time, through verification-refinement (V-R) loops; and at training time, through self-training methods. Both are…

Machine Learning · Computer Science 2026-05-29 Chen Henry Wu , Aditi Raghunathan

Reinforcement Learning with Verifiable Rewards (RLVR) has become a powerful approach for improving the reasoning capabilities of large language models (LLMs). While RLVR is designed for tasks with verifiable ground-truth answers, real-world…

Machine Learning · Computer Science 2026-05-06 Kazuki Egashira , Mark Vero , Jasper Dekoninck , Florian E. Dorner , Robin Staab , Martin Vechev

Recent advancements in Large Language Models (LLMs) have created new opportunities to enhance performance on complex reasoning tasks by leveraging test-time computation. However, existing scaling methods have key limitations: parallel…

Artificial Intelligence · Computer Science 2025-12-04 Jiefeng Chen , Jie Ren , Xinyun Chen , Chengrun Yang , Ruoxi Sun , Jinsung Yoon , Sercan Ö Arık

Allocating more computation during inference time (test-time scaling) improves language model performance, especially for reasoning tasks. However, popular methods like Best-of-$N$ sampling often show diminishing returns as $N$ increases.…

Machine Learning · Computer Science 2025-10-20 Yung-Chen Tang , Pin-Yu Chen , Andrea Cavallaro

Despite its crucial role in research experiments, code correctness is often presumed only on the basis of the perceived quality of results. This assumption comes with the risk of erroneous outcomes and potentially misleading findings. To…

Computation and Language · Computer Science 2024-07-08 Sara Papi , Marco Gaido , Andrea Pilzer , Matteo Negri

Continuous testing during development is a well-established technique for software-quality assurance. Continuous model checking from revision to revision is not yet established as a standard practice, because the enormous resource…

Software Engineering · Computer Science 2013-05-30 Dirk Beyer , Stefan Löwe , Evgeny Novikov , Andreas Stahlbauer , Philipp Wendler

With this paper, we survey techniques for improving the predictive accuracy of pretrained large language models by allocating additional compute at inference time. In categorizing test-time scaling methods, we place special emphasis on how…

Computation and Language · Computer Science 2025-11-20 Zhuoyi Yang , Xu Guo , Tong Zhang , Huijuan Xu , Boyang Li

Best-of-N (BoN) is a popular and effective algorithm for aligning language models to human preferences. The algorithm works as follows: at inference time, N samples are drawn from the language model, and the sample with the highest reward,…

Computation and Language · Computer Science 2025-03-05 Afra Amini , Tim Vieira , Elliott Ash , Ryan Cotterell

As LLMs are deployed in high-stakes settings, users must judge the correctness of individual responses, often relying on model-generated justifications such as reasoning chains or explanations. Yet, no standard measure exists for whether…

Reasoning in large language models has long been a central research focus, and recent studies employing reinforcement learning (RL) have introduced diverse methods that yield substantial performance gains with minimal or even no external…

Receiver operating characteristic (ROC) analysis is one of the most popular approaches for evaluating and comparing the accuracy of medical diagnostic tests. Although various methodologies have been developed for estimating ROC curves and…

Methodology · Statistics 2022-08-16 Ainesh Sewak , Torsten Hothorn

In this work we present the Consistency-Rebalanced Accuracy (CoRA) metric, improving the reliability of Large Language Model (LLM) scores computed on multiple choice (MC) benchmarks. Our metric explores the response consistency of the LLMs,…

Computation and Language · Computer Science 2025-12-01 Paulo Cavalin , Cassia Sanctos , Marcelo Grave , Claudio Pinhanez , Yago Primerano