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We investigate the Probably Approximately Correct (PAC) property of scenario decision algorithms, which refers to their ability to produce decisions with an arbitrarily low risk of violating unknown safety constraints, provided a sufficient…

Machine Learning · Computer Science 2025-08-28 Guillaume O. Berger , Raphaël M. Jungers

For massive and heterogeneous modern datasets, it is of fundamental interest to provide guarantees on the accuracy of estimation when computational resources are limited. In the application of learning to rank, we provide a hierarchy of…

Machine Learning · Computer Science 2016-08-23 Ashish Khetan , Sewoong Oh

Negotiation is a fundamental challenge for AI agents, as it requires an ability to reason strategically, model opponents, and balance cooperation with competition. We present the first comprehensive study that systematically evaluates how…

Computation and Language · Computer Science 2026-01-12 Sherzod Hakimov , Roland Bernard , Tim Leiber , Karl Osswald , Kristina Richert , Ruilin Yang , Raffaella Bernardi , David Schlangen

Large reasoning models (LRMs) have achieved remarkable progress on complex tasks by generating extended chains of thought (CoT). However, their uncontrolled output lengths pose significant challenges for real-world deployment, where…

Machine Learning · Computer Science 2025-05-22 Yuhui Xu , Hanze Dong , Lei Wang , Doyen Sahoo , Junnan Li , Caiming Xiong

This paper presents a PAC-Bayes framework for learning controllers for unknown stochastic linear discrete-time systems, where the system parameters are drawn from a fixed but unknown distribution. We derive a data-dependent high probability…

Optimization and Control · Mathematics 2026-05-22 Yujia Luo , Ye Pu , Jonathan H. Manton , Jingge Zhu

Models of opinion dynamics play a major role in various disciplines, including economics, political science, psychology, and social science, as they provide a framework for analysis and intervention. In spite of the numerous mathematical…

Physics and Society · Physics 2021-08-17 Armineh Rahmanian , Sadegh Bolouki , S. Rasoul Etesami , Abolfazl Mohebbi

Calibrating blackbox machine learning models to achieve risk control is crucial to ensure reliable decision-making. A rich line of literature has been studying how to calibrate a model so that its predictions satisfy explicit finite-sample…

Machine Learning · Statistics 2025-06-02 Victor Li , Baiting Chen , Yuzhen Mao , Qi Lei , Zhun Deng

We apply the PAC-Bayes theory to the setting of learning-to-optimize. To the best of our knowledge, we present the first framework to learn optimization algorithms with provable generalization guarantees (PAC-bounds) and explicit trade-off…

Machine Learning · Computer Science 2023-02-16 Michael Sucker , Peter Ochs

Prediction sets capture uncertainty by predicting sets of labels rather than individual labels, enabling downstream decisions to conservatively account for all plausible outcomes. Conformal inference algorithms construct prediction sets…

Machine Learning · Statistics 2023-10-20 Wenwen Si , Sangdon Park , Insup Lee , Edgar Dobriban , Osbert Bastani

Retrieval-augmented generation (RAG) has demonstrated strong performance in single-hop question answering (QA) by integrating external knowledge into large language models (LLMs). However, its effectiveness remains limited in multi-hop QA,…

Computation and Language · Computer Science 2026-01-13 Ningning Zhang , Chi Zhang , Zhizhong Tan , Xingxing Yang , Weiping Deng , Wenyong Wang

Selecting an appropriate reasoning method for a given query remains a key challenge in language model generation. Existing approaches typically generate multiple candidate responses and use an aggregation strategy to select the output…

Machine Learning · Computer Science 2025-11-11 Bao Nguyen , Hieu Trung Nguyen , Ruifeng She , Xiaojin Fu , Viet Anh Nguyen

Different types of reasoning impose different structural demands on representational systems, yet no systematic account of these demands exists across psychology, AI, and philosophy of mind. I propose a framework identifying four structural…

Artificial Intelligence · Computer Science 2026-04-03 Yiling Wu

Conceptual reasoning, the ability to reason in abstract and high-level perspectives, is key to generalization in human cognition. However, limited study has been done on large language models' capability to perform conceptual reasoning. In…

Computation and Language · Computer Science 2024-04-02 Ben Zhou , Hongming Zhang , Sihao Chen , Dian Yu , Hongwei Wang , Baolin Peng , Dan Roth , Dong Yu

PAC-Bayes is a popular and efficient framework for obtaining generalization guarantees in situations involving uncountable hypothesis spaces. Unfortunately, in its classical formulation, it only provides guarantees on the expected risk of a…

Machine Learning · Computer Science 2025-10-30 Benjamin Leblanc , Pascal Germain

Automated commonsense reasoning is essential for building human-like AI systems featuring, for example, explainable AI. Event Calculus (EC) is a family of formalisms that model commonsense reasoning with a sound, logical basis. Previous…

Artificial Intelligence · Computer Science 2021-06-29 Joaquín Arias , Manuel Carro , Zhuo Chen , Gopal Gupta

Machine learning algorithms in socially sensitive domains (e.g., credit decisions) often focus on equalizing predictive outcomes. However, satisfying these metrics does not guarantee that models use the same reasoning for different groups.…

Machine Learning · Computer Science 2026-05-14 Gideon Popoola , John Sheppard

We study cautious reasoning in finite sequential games played by agents with perfect recall. Our contribution lies in formulating a definition of prudent rationalizability (Heifetz et al. 2021, BEJTE) as an iterative reduction procedure of…

Computer Science and Game Theory · Computer Science 2025-12-01 Nicodemo De Vito

Existing guarantees in terms of rigorous upper bounds on the generalization error for the original random forest algorithm, one of the most frequently used machine learning methods, are unsatisfying. We discuss and evaluate various…

Machine Learning · Computer Science 2019-03-07 Stephan Sloth Lorenzen , Christian Igel , Yevgeny Seldin

Large Language Models have achieved remarkable performance on reasoning tasks, motivating research into how this ability evolves during training. Prior work has primarily analyzed this evolution via explicit generation outcomes, treating…

Computation and Language · Computer Science 2026-02-03 Siyuan Zhang , Jialian Li , Yichi Zhang , Xiao Yang , Yinpeng Dong , Hang Su

Conformal Prediction (CP) has emerged as a powerful statistical framework for high-stakes classification applications. Instead of predicting a single class, CP generates a prediction set, guaranteed to include the true label with a…

Machine Learning · Computer Science 2025-11-25 Ariel Fargion , Lahav Dabah , Tom Tirer