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Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a drawback of ABC is that it is an approximate method that induces a systematic…

Methodology · Statistics 2015-09-29 Minh Ngoc Tran , Robert Kohn

Approximate Bayesian computation (ABC) is computationally intensive for complex model simulators. To exploit expensive simulations, data-resampling via bootstrapping can be employed to obtain many artificial datasets at little cost.…

Computation · Statistics 2021-07-05 Umberto Picchini , Richard G. Everitt

Analysis of variance (ANOVA) is an extremely important method in exploratory and confirmatory data analysis. Unfortunately, in complex problems (e.g., split-plot designs), it is not always easy to set up an appropriate ANOVA. We propose a…

Statistics Theory · Mathematics 2007-06-13 Andrew Gelman

In randomized controlled trials, covariate adjustment can improve statistical power and reduce the required sample size compared with unadjusted estimators. Several regulatory agencies have released guidance on covariate adjustment, which…

Methodology · Statistics 2025-08-27 Takumi Kanata , Yasuhiro Hagiwara , Koji Oba

In batch reinforcement learning (RL), one often constrains a learned policy to be close to the behavior (data-generating) policy, e.g., by constraining the learned action distribution to differ from the behavior policy by some maximum…

Machine Learning · Computer Science 2020-03-31 Sungryull Sohn , Yinlam Chow , Jayden Ooi , Ofir Nachum , Honglak Lee , Ed Chi , Craig Boutilier

What can an agent learn in a stochastic Multi-Armed Bandit (MAB) problem from a dataset that contains just a single sample for each arm? Surprisingly, in this work, we demonstrate that even in such a data-starved setting it may still be…

Machine Learning · Computer Science 2024-02-27 Ruiqi Zhang , Yuexiang Zhai , Andrea Zanette

We study the problem of fair sequential decision making given voter preferences. In each round, a decision rule must choose a decision from a set of alternatives where each voter reports which of these alternatives they approve. Instead of…

Computer Science and Game Theory · Computer Science 2025-03-18 Nikhil Chandak , Shashwat Goel , Dominik Peters

Monte Carlo methods, Variational Inference, and their combinations play a pivotal role in sampling from intractable probability distributions. However, current studies lack a unified evaluation framework, relying on disparate performance…

Machine Learning · Computer Science 2024-06-12 Denis Blessing , Xiaogang Jia , Johannes Esslinger , Francisco Vargas , Gerhard Neumann

Heterogeneity is an unwanted variation when analyzing aggregated datasets from multiple sources. Though different methods have been proposed for heterogeneity adjustment, no systematic theory exists to justify these methods. In this work,…

Methodology · Statistics 2016-02-18 Jianqing Fan , Han Liu , Weichen Wang , Ziwei Zhu

Reinforcement Learning from Human Feedback (RLHF) remains vulnerable to reward hacking, where models exploit spurious correlations in learned reward models to achieve high scores while violating human intent. Existing mitigations rely on…

Artificial Intelligence · Computer Science 2026-02-03 Mohammad Beigi , Ming Jin , Junshan Zhang , Qifan Wang , Lifu Huang

Deep neural networks present impressive performance, yet they cannot reliably estimate their predictive confidence, limiting their applicability in high-risk domains. We show that applying a multi-label one-vs-all loss reveals…

Machine Learning · Computer Science 2022-06-29 Bartosz Wójcik , Jacek Grela , Marek Śmieja , Krzysztof Misztal , Jacek Tabor

Reinforcement learning with verifiable rewards (RLVR) has proven effective in training large reasoning models (LRMs) by leveraging answer-verifiable signals to guide policy optimization, which, however, suffers from high annotation costs.…

Machine Learning · Computer Science 2025-12-16 Shenzhi Yang , Guangcheng Zhu , Xing Zheng , Yingfan MA , Zhongqi Chen , Bowen Song , Weiqiang Wang , Junbo Zhao , Gang Chen , Haobo Wang

Large Vision-Language Action (VLA) models have shown significant potential for embodied AI. However, their predominant training via supervised fine-tuning (SFT) limits generalization due to susceptibility to compounding errors under…

Machine Learning · Computer Science 2026-01-15 Jijia Liu , Feng Gao , Bingwen Wei , Xinlei Chen , Qingmin Liao , Yi Wu , Chao Yu , Yu Wang

Active learning (AL) is a training paradigm for selecting unlabeled samples for annotation to improve model performance on a test set, which is useful when only a limited number of samples can be annotated. These algorithms often work by…

Computation and Language · Computer Science 2026-04-13 Lorenzo Jaime Yu Flores , Cesare Spinoso di-Piano , Ori Ernst , David Ifeoluwa Adelani , Jackie Chi Kit Cheung

Many high-stakes AI deployments proceed only if every stakeholder deems the system acceptable relative to their own minimum standard. With randomization over a finite menu of options, this becomes a feasibility question: does there exist a…

Computer Science and Game Theory · Computer Science 2026-04-21 Davin Choo , Paul W. Goldberg , Nicholas Teh

The high cost and data scarcity in scientific exploration have motivated the use of large language models (LLMs) as knowledge-driven components in Bayesian optimization (BO). However, existing approaches typically embed LLMs directly into…

We consider the problem of sequential multiple hypothesis testing with nontrivial data collection costs. This problem appears, for example, when conducting biological experiments to identify differentially expressed genes of a disease…

Machine Learning · Computer Science 2023-11-06 Thomas Cook , Harsh Vardhan Dubey , Ji Ah Lee , Guangyu Zhu , Tingting Zhao , Patrick Flaherty

Formal reasoning and automated theorem proving constitute a challenging subfield of machine learning, in which machines are tasked with proving mathematical theorems using formal languages like Lean. A formal verification system can check…

Artificial Intelligence · Computer Science 2025-11-05 Azim Ospanov , Farzan Farnia , Roozbeh Yousefzadeh

While scaling test-time compute through trajectory-level sampling has significantly improved Graphical User Interface (GUI) agents, the lack of regressive ability prevents the reuse of partial successes and the recovery from early missteps.…

Artificial Intelligence · Computer Science 2026-02-04 Sizhe Tang , Rongqian Chen , Tian Lan

Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of scenarios. SAA can also be used to find estimates of a lower…

Other Statistics · Statistics 2014-05-08 Jiajie Chen , Cong Han Lim , Peter Z. G. Qian , Jeff Linderoth , Stephen J. Wright