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This paper considers an infinite-horizon Markov decision process (MDP) that allows for general non-exponential discount functions, in both discrete and continuous time. Due to the inherent time inconsistency, we look for a randomized…

Optimization and Control · Mathematics 2024-12-10 Erhan Bayraktar , Yu-Jui Huang , Zhenhua Wang , Zhou Zhou

Diffusion models have achieved remarkable progress in text-to-image generation, yet aligning them with human preference remains challenging due to the presence of multiple, sometimes conflicting, evaluation metrics (e.g., semantic…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Dipesh Tamboli , Souradip Chakraborty , Aditya Malusare , Biplab Banerjee , Amrit Singh Bedi , Vaneet Aggarwal

The seven-valued logic considered in this paper naturally arises within the rough set framework, allowing to distinguish vagueness due to imprecision from ambiguity due to coarseness. Recently, we discussed its utility for reasoning about…

Artificial Intelligence · Computer Science 2024-06-07 Salvatore Greco , Roman Słowiński

This paper studies the problem of parameter learning in probabilistic graphical models having latent variables, where the standard approach is the expectation maximization algorithm alternating expectation (E) and maximization (M) steps.…

Machine Learning · Computer Science 2017-02-15 Hyeryung Jang , Hyungwon Choi , Yung Yi , Jinwoo Shin

We study infinite horizon Markov decision processes (MDPs) with "fast-slow" structure, where some state variables evolve rapidly ("fast states") while others change more gradually ("slow states"). This structure commonly arises in practice…

Artificial Intelligence · Computer Science 2025-10-28 Yijia Wang , Daniel R. Jiang

Existing AI alignment approaches assume that preferences are static, which is unrealistic: our preferences change, and may even be influenced by our interactions with AI systems themselves. To clarify the consequences of incorrectly…

Artificial Intelligence · Computer Science 2024-05-29 Micah Carroll , Davis Foote , Anand Siththaranjan , Stuart Russell , Anca Dragan

Factored Markov decision processes (MDPs) are a prominent paradigm within the artificial intelligence community for modeling and solving large-scale MDPs whose rewards and dynamics decompose into smaller, loosely interacting components.…

Optimization and Control · Mathematics 2024-04-03 Huikang Liu , Wolfram Wiesemann , Man-Chung Yue

We introduce \emph{Metric-Fair Prompting}, a fairness-aware prompting framework that guides large language models (LLMs) to make decisions under metric-fairness constraints. In the application of multiple-choice medical question answering,…

Computation and Language · Computer Science 2025-12-09 Jing Wang , Jie Shen , Xing Niu , Tong Zhang , Jeremy Weiss

The Ordinal Priority Approach (OPA) is a multi-attribute decision-making (MADM) method to determine the relative importance (weights) of experts, attributes, and alternatives. This study formally establishes the fundamental properties of…

Optimization and Control · Mathematics 2024-07-25 Renlong Wang

With increases in population, there is a noticeable change across the world in pollution levels. Recently there has been growing demand for renewable energy operated devices boomed. Numerous reasons have led to such growth including lower…

Optimization and Control · Mathematics 2023-03-31 Mahak Bhatia , Aled Williams

The rapid proliferation of artificial intelligence (AI) models and methods presents growing challenges for research software engineers and researchers who must select, integrate, and maintain appropriate models within complex research…

This paper proposes a method for estimating consumer preferences among discrete choices, where the consumer chooses at most one product in a category, but selects from multiple categories in parallel. The consumer's utility is additive in…

Machine Learning · Computer Science 2023-08-08 Rob Donnelly , Francisco R. Ruiz , David Blei , Susan Athey

This paper presents the constrained Hybrid Metaheuristic (cHM) algorithm as a general framework for continuous optimisation. Unlike many existing metaheuristics that are tailored to specific function classes or problem domains, cHM is…

Neural and Evolutionary Computing · Computer Science 2026-03-20 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk

We consider a constrained Markov Decision Problem (CMDP) where the goal of an agent is to maximize the expected discounted sum of rewards over an infinite horizon while ensuring that the expected discounted sum of costs exceeds a certain…

Machine Learning · Computer Science 2024-11-01 Washim Uddin Mondal , Vaneet Aggarwal

Ranking alternatives is a natural way for humans to explain their preferences. It is being used in many settings, such as school choice, course allocations and residency matches. In some cases, several `items' are given to each participant.…

Computer Science and Game Theory · Computer Science 2022-12-06 Erel Segal-Halevi , Haris Aziz , Avinatan Hassidim

Processes (MDPs) often require frequent decision making, that is, taking an action every microsecond, second, or minute. Infinite horizon discount reward formulation is still relevant for a large portion of these applications, because…

Optimization and Control · Mathematics 2014-12-17 Yin-Lam Chow , Junjie Qin

Markov decision processes (MDPs) are a popular model for performance analysis and optimization of stochastic systems. The parameters of stochastic behavior of MDPs are estimates from empirical observations of a system; their values are not…

Artificial Intelligence · Computer Science 2017-10-26 Dimitri Scheftelowitsch , Peter Buchholz , Vahid Hashemi , Holger Hermanns

Collaborative Metric Learning (CML) has recently emerged as a popular method in recommendation systems (RS), closing the gap between metric learning and Collaborative Filtering. Following the convention of RS, existing methods exploit…

Information Retrieval · Computer Science 2022-10-03 Shilong Bao , Qianqian Xu , Zhiyong Yang , Yuan He , Xiaochun Cao , Qingming Huang

In large-scale AI systems, allocating scarce resources such as GPU compute time and bandwidth among multiple agents is a critical challenge. Conventional policies focus on efficiency metrics, potentially leading to dominance concentration…

Applied Physics · Physics 2026-05-25 Ji-Won Park , Chae Un Kim

Canonical models of Markov decision processes (MDPs) usually consider geometric discounting based on a constant discount factor. While this standard modeling approach has led to many elegant results, some recent studies indicate the…

Artificial Intelligence · Computer Science 2023-07-21 Jiarui Gan , Annika Hennes , Rupak Majumdar , Debmalya Mandal , Goran Radanovic