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Card-level comparison risk-limiting audits (CLCAs) heretofore required a CVR for each cast card and a "link" identifying which CVR is for which card -- which many voting systems cannot provide. Every set of CVRs that produces the same…

Applications · Statistics 2023-06-21 Philip B. Stark

Certifiable, adaptive uncertainty estimates for unknown quantities are an essential ingredient of sequential decision-making algorithms. Standard approaches rely on problem-dependent concentration results and are limited to a specific…

Machine Learning · Computer Science 2023-11-09 Nicolas Emmenegger , Mojmír Mutný , Andreas Krause

Can Large Language Models (LLMs) accurately predict election outcomes? While LLMs have demonstrated impressive performance in various domains, including healthcare, legal analysis, and creative tasks, their ability to forecast elections…

Artificial Intelligence · Computer Science 2025-04-07 Chenxiao Yu , Zhaotian Weng , Yuangang Li , Zheng Li , Xiyang Hu , Yue Zhao

Ensuring safety is a crucial challenge when deploying reinforcement learning (RL) to real-world systems. We develop confidence-based safety filters, a control-theoretic approach for certifying state safety constraints for nominal policies…

Machine Learning · Computer Science 2022-07-05 Sebastian Curi , Armin Lederer , Sandra Hirche , Andreas Krause

Large Language Models (LLMs) are known to produce very high-quality tests and responses to our queries. But how much can we trust this generated text? In this paper, we study the problem of uncertainty quantification in LLMs. We propose a…

Computation and Language · Computer Science 2025-04-28 Muhammad Mubashar , Shireen Kudukkil Manchingal , Fabio Cuzzolin

Run Time Assurance (RTA) Systems are online verification mechanisms that filter an unverified primary controller output to ensure system safety. The primary control may come from a human operator, an advanced control approach, or an…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Kerianne Hobbs , Mark Mote , Matthew Abate , Samuel Coogan , Eric Feron

We perform a risk assessment of the Public Safety Assessment (PSA), a software used in San Francisco and other jurisdictions to assist judges in deciding whether defendants need to be detained before their trial. With a mixed-methods…

Computers and Society · Computer Science 2020-05-18 Marc Faddoul , Henriette Ruhrmann , Joyce Lee

Given a random sample from a random variable $T$ which is bounded from above, $T\le\tau$ a.s., we define processes that are positive supermartingales if $E(T)\ge\mu$. Such processes are called test martingales. Tests of the supermartingale…

Methodology · Statistics 2018-02-20 Harrie Hendriks

Retrieval-augmented LLMs are deployed for tasks where evidence quality determines action safety, yet evaluation protocols assume that single-turn robustness predicts robustness when evidence accumulates across turns. We show this assumption…

Artificial Intelligence · Computer Science 2026-05-27 Zhe Yu , Wenpeng Xing , Chen Ye , Xuyang Teng , Bo Yang , Changting Lin , Meng Han

The risk of a financial position is usually summarized by a risk measure. As this risk measure has to be estimated from historical data, it is important to be able to verify and compare competing estimation procedures. In statistical…

Risk Management · Quantitative Finance 2014-04-01 Johanna F. Ziegel

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Reinforcement learning (RL) is concerned with how intelligence agents take actions in a given environment to maximize the cumulative reward they receive. In healthcare, applying RL algorithms could assist patients in improving their health…

Machine Learning · Statistics 2025-04-21 Chengchun Shi

Model selection is often performed by empirical risk minimization. The quality of selection in a given situation can be assessed by risk bounds, which require assumptions both on the margin and the tails of the losses used. Starting with…

Statistics Theory · Mathematics 2008-12-18 Charles Mitchell , Sara van de Geer

Large Language Models (LLMs) achieve competitive results compared to human experts in medical examinations. However, it remains a challenge to apply LLMs to complex clinical decision-making, which requires a deep understanding of medical…

We transform the randomness of LLMs into precise assurances using an actuator at the API interface that applies a user-defined risk constraint in finite samples via Conformal Risk Control (CRC). This label-free and model-agnostic actuator…

Methodology · Statistics 2025-09-30 Lingyou Pang , Lei Huang , Jianyu Lin , Tianyu Wang , Alexander Aue , Carey E. Priebe

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

Methodology · Statistics 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

The risk-controlling prediction sets (RCPS) framework is a general tool for transforming the output of any machine learning model to design a predictive rule with rigorous error rate control. The key idea behind this framework is to use…

Machine Learning · Computer Science 2025-07-29 Bat-Sheva Einbinder , Liran Ringel , Yaniv Romano

Deep reinforcement learning (RL) algorithms are predominantly evaluated by comparing their relative performance on a large suite of tasks. Most published results on deep RL benchmarks compare point estimates of aggregate performance such as…

Machine Learning · Computer Science 2022-01-06 Rishabh Agarwal , Max Schwarzer , Pablo Samuel Castro , Aaron Courville , Marc G. Bellemare

Confidence sequences are confidence intervals that can be sequentially tracked, and are valid at arbitrary data-dependent stopping times. This paper presents confidence sequences for a univariate mean of an unknown distribution with a known…

Statistics Theory · Mathematics 2023-02-09 Hongjian Wang , Aaditya Ramdas

Evaluating open-ended responses from large audio language models (LALMs) is challenging because human annotators often genuinely disagree on answer correctness due to multiple valid interpretations, partial correctness, and subjective…