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Optimization - minimization or maximization - in the lattice of subsets is a frequent operation in Artificial Intelligence tasks. Examples are subset-minimal model-based diagnosis, nonmonotonic reasoning by means of circumscription, or…

人工智能 · 计算机科学 2016-12-23 Wolfgang Faber , Mauro Vallati , Federico Cerutti , Massimiliano Giacomin

In this paper, we remark on the published paper "Treatment of Set-Valued Robustness via Separation and Scalarization" [1], which deals with the robust solution to an uncertain constrained set-valued optimization problem via scalarization…

最优化与控制 · 数学 2025-11-04 Abhik Digar , Kuntal Som

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

最优化与控制 · 数学 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Science about optimization methods is rapidly developing today. In machine learning, computer vision, biology, medicine, construction and in many other different areas optimization methods have vast popularity and they appear as important…

最优化与控制 · 数学 2017-05-30 Alexander Tyurin

Fair classification is a critical challenge that has gained increasing importance due to international regulations and its growing use in high-stakes decision-making settings. Existing methods often rely on adversarial learning or…

机器学习 · 计算机科学 2025-10-14 Alberto Sinigaglia , Davide Sartor , Marina Ceccon , Gian Antonio Susto

A choice of optimization objective is immensely pivotal in the design of a recommender system as it affects the general modeling process of a user's intent from previous interactions. Existing approaches mainly adhere to three categories of…

机器学习 · 计算机科学 2024-08-02 Hyunsoo Chung , Jungtaek Kim , Hyungeun Jo , Hyungwon Choi

Given a convex optimization problem and its dual, there are many possible first-order algorithms. In this paper, we show the equivalence between mirror descent algorithms and algorithms generalizing the conditional gradient method. This is…

机器学习 · 计算机科学 2013-10-21 Francis Bach

We investigate the prominent class of fair representation learning methods for bias mitigation. Using causal reasoning to define and formalise different sources of dataset bias, we reveal important implicit assumptions inherent to these…

机器学习 · 计算机科学 2025-02-11 Charles Jones , Fabio de Sousa Ribeiro , Mélanie Roschewitz , Daniel C. Castro , Ben Glocker

Joining multiple decision-makers together is a powerful way to obtain more sophisticated decision-making systems, but requires to address the questions of division of labor and specialization. We investigate in how far information…

机器学习 · 计算机科学 2020-11-04 Heinke Hihn , Daniel A. Braun

Parameterization and approximation are two popular ways of coping with NP-hard problems. More recently, the two have also been combined to derive many interesting results. We survey developments in the area both from the algorithmic and…

数据结构与算法 · 计算机科学 2020-06-09 Andreas Emil Feldmann , Karthik C. S. , Euiwoong Lee , Pasin Manurangsi

Submodular functions and their optimization have found applications in diverse settings ranging from machine learning and data mining to game theory and economics. In this work, we consider the constrained maximization of a submodular…

数据结构与算法 · 计算机科学 2025-07-15 Moran Feldman , Alan Kuhnle

The concept of deep dictionary learning has been recently proposed. Unlike shallow dictionary learning which learns single level of dictionary to represent the data, it uses multiple layers of dictionaries. So far, the problem could only be…

机器学习 · 计算机科学 2019-12-24 Vanika Singhal , Angshul Majumdar

In this paper, we study the parameterized complexity of local search, whose goal is to find a good nearby solution from the given current solution. Formally, given an optimization problem where the goal is to find the largest feasible…

数据结构与算法 · 计算机科学 2025-12-04 Aditya Anand , Vincent Cohen-Addad , Tommaso d'Orsi , Anupam Gupta , Euiwoong Lee , Debmalya Panigrahi , Sijin Peng

Bayesian optimization offers a flexible framework to optimize an objective function that is expensive to be evaluated. A Bayesian optimizer iteratively queries the function values on its carefully selected points. Subsequently, it makes a…

机器学习 · 计算机科学 2019-06-25 Yang Li , Yaqiang Yao

Due to the realization that deep reinforcement learning algorithms trained on high-dimensional tasks can strongly overfit to their training environments, there have been several studies that investigated the generalization performance of…

机器学习 · 计算机科学 2020-07-06 Safa Alver , Doina Precup

As an emerging and challenging problem in the computer vision community, weakly supervised object localization and detection plays an important role for developing new generation computer vision systems and has received significant…

计算机视觉与模式识别 · 计算机科学 2021-04-19 Dingwen Zhang , Junwei Han , Gong Cheng , Ming-Hsuan Yang

We introduce a minorization-maximization approach to optimizing common measures of discovery significance in high energy physics. The approach alternates between solving a weighted binary classification problem and updating class weights in…

机器学习 · 统计学 2015-09-11 Lester Mackey , Jordan Bryan , Man Yue Mo

Aligning powerful AI models on tasks that surpass human evaluation capabilities is the central problem of \textbf{superalignment}. To address this problem, weak-to-strong generalization aims to elicit the capabilities of strong models…

机器学习 · 计算机科学 2025-03-07 Junhao Shi , Qinyuan Cheng , Zhaoye Fei , Yining Zheng , Qipeng Guo , Xipeng Qiu

We consider the problem of selecting a subset of alternatives given noisy evaluations of the relative strength of different alternatives. We wish to select a k-subset (for a given k) that provides a maximum likelihood estimate for one of…

人工智能 · 计算机科学 2012-10-19 Ariel D. Procaccia , Sashank J. Reddi , Nisarg Shah

Software requirements prioritization plays a crucial role in software development. It can be viewed as the process of ordering requirements by determining which requirements must be done first and which can be done later. Powerful…