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Consider the online testing of a stream of hypotheses where a real--time decision must be made before the next data point arrives. The error rate is required to be controlled at {all} decision points. Conventional \emph{simultaneous testing…

Methodology · Statistics 2020-03-03 Bowen Gang , Wenguang Sun , Weinan Wang

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

Statistics Theory · Mathematics 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

This position paper argues that AI-assisted software engineering requires explicit mechanisms for tracking the epistemic status and temporal validity of architectural decisions. LLM coding assistants generate decisions faster than teams can…

Software Engineering · Computer Science 2026-01-30 Sankalp Gilda , Shlok Gilda

Controlling the false discovery rate (FDR) is a powerful approach to multiple testing. In many applications, the tested hypotheses have an inherent hierarchical structure. In this paper, we focus on the fixed sequence structure where the…

Methodology · Statistics 2016-11-11 Gavin Lynch , Wenge Guo , Sanat K. Sarkar , Helmut Finner

Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation;…

Methodology · Statistics 2026-05-19 Binyamin Perets , Shie Mannor

The emergence of Self-Driving Laboratories (SDLs) transforms scientific discovery methodology by integrating AI with robotic automation to create closed-loop experimental systems capable of autonomous hypothesis generation, experimentation,…

Robotics · Computer Science 2026-02-18 Zihan Zhang , Haohui Que , Junhan Chang , Xin Zhang , Hao Wei , Tong Zhu

Current AI safety relies on behavioral monitoring and post-training alignment, yet empirical measurement shows these approaches produce no detectable pre-commitment signal in a majority of instruction-tuned models tested. We present an…

Artificial Intelligence · Computer Science 2026-04-07 Gregory M. Ruddell

U.S. financial institutions deploying AI-based fraud detection face a fragmented compliance landscape spanning four regulatory frameworks -- OCC Bulletin 2011-12, SR 11-7, the CFPB AI circular, and FinCEN BSA/SAR requirements -- with no…

Machine Learning · Computer Science 2026-05-07 Mohammad Nasir Uddin

We consider the problem of asynchronous online testing, aimed at providing control of the false discovery rate (FDR) during a continual stream of data collection and testing, where each test may be a sequential test that can start and stop…

Methodology · Statistics 2020-08-25 Tijana Zrnic , Aaditya Ramdas , Michael I. Jordan

Multiple hypothesis testing is a core problem in statistical inference and arises in almost every scientific field. Given a set of null hypotheses $\mathcal{H}(n) = (H_1,\dotsc, H_n)$, Benjamini and Hochberg introduced the false discovery…

Statistics Theory · Mathematics 2017-07-10 Adel Javanmard , Andrea Montanari

Large Reasoning Models (LRMs) and Multi-Agent Systems (MAS) in high-stakes domains demand reliable verification, yet centralized approaches suffer four limitations: (1) Robustness, with single points of failure vulnerable to attacks and…

Artificial Intelligence · Computer Science 2026-05-01 Yu-Chao Huang , Zhen Tan , Mohan Zhang , Pingzhi Li , Zhuo Zhang , Tianlong Chen

A prevailing assumption in machine learning is that model correctness must be enforced after the fact. We observe that the properties determining whether an AI model is numerically stable, computationally correct, or consistent with a…

Programming Languages · Computer Science 2026-04-21 Houston Haynes

In many large scale multiple testing applications, the hypotheses often have a known graphical structure, such as gene ontology in gene expression data. Exploiting this graphical structure in multiple testing procedures can improve power as…

Methodology · Statistics 2018-12-04 Wenge Guo , Gavin Lynch , Joseph P. Romano

In the online multiple testing problem, p-values corresponding to different null hypotheses are observed one by one, and the decision of whether or not to reject the current hypothesis must be made immediately, after which the next p-value…

Methodology · Statistics 2017-10-03 Aaditya Ramdas , Fanny Yang , Martin J. Wainwright , Michael I. Jordan

We develop a new class of distribution--free multiple testing rules for false discovery rate (FDR) control under general dependence. A key element in our proposal is a symmetrized data aggregation (SDA) approach to incorporating the…

Methodology · Statistics 2021-05-27 Lilun Du , Xu Guo , Wenguang Sun , Changliang Zou

A scientist tests a continuous stream of hypotheses over time in the course of her investigation -- she does not test a predetermined, fixed number of hypotheses. The scientist wishes to make as many discoveries as possible while ensuring…

Methodology · Statistics 2023-11-14 Ziyu Xu , Aaditya Ramdas

Causal discovery through experimentation and intervention is fundamental to robust problem solving. It requires not just updating beliefs within a fixed framework but revising the hypothesis space itself, a capacity current AI agents lack…

Artificial Intelligence · Computer Science 2026-04-23 John Alderete , Sebastian Benthal , Connie Xu , John Xing

The effective utilization of structural information in data while ensuring statistical validity poses a significant challenge in false discovery rate (FDR) analyses. Conformal inference provides rigorous theory for grounding complex machine…

Methodology · Statistics 2024-06-18 Zinan Zhao , Wenguang Sun

We propose an online false discovery rate (FDR) controlling method based on conditional local FDR (LIS), designed for infectious disease datasets that are discrete and exhibit complex dependencies. Unlike existing online FDR methods, which…

Methodology · Statistics 2026-02-23 Seohwa Hwang , Junyong Park

Online testing procedures assume that hypotheses are observed in sequence, and allow the significance thresholds for upcoming tests to depend on the test statistics observed so far. Some of the most popular online methods include alpha…

Methodology · Statistics 2022-02-11 Aaron Fisher
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