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This paper presents algorithms for solving multiobjective integer programming problems. The algorithm uses Barvinok's rational functions of the polytope that defines the feasible region and provides as output the entire set of nondominated…

Optimization and Control · Mathematics 2008-03-04 Victor Blanco , Justo Puerto

Beam search is a go-to strategy for decoding neural sequence models. The algorithm can naturally be viewed as a subset optimization problem, albeit one where the corresponding set function does not reflect interactions between candidates.…

Computation and Language · Computer Science 2023-06-26 Clara Meister , Martina Forster , Ryan Cotterell

Federated knowledge discovery and data mining are challenged to assess the trustworthiness of data originating from autonomous sources while protecting confidentiality and privacy. Truth-finding algorithms help corroborate data from…

Cryptography and Security · Computer Science 2023-05-25 Angelo Saadeh , Pierre Senellart , Stéphane Bressan

The wide and rapid adoption of deep learning by practitioners brought unintended consequences in many situations such as in the infamous case of Google Photos' racist image recognition algorithm; thus, necessitated the utilization of the…

Machine Learning · Computer Science 2019-05-24 Mehmet Yigit Yildirim , Mert Ozer , Hasan Davulcu

Counterfactual explanations (CFEs) exemplify how to minimally modify a feature vector to achieve a different prediction for an instance. CFEs can enhance informational fairness and trustworthiness, and provide suggestions for users who…

Machine Learning · Computer Science 2023-09-12 Yongjie Wang , Hangwei Qian , Yongjie Liu , Wei Guo , Chunyan Miao

This study addresses generating counterfactual explanations with multimodal information. Our goal is not only to classify a video into a specific category, but also to provide explanations on why it is not categorized to a specific class…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Atsushi Kanehira , Kentaro Takemoto , Sho Inayoshi , Tatsuya Harada

This paper presents an algorithmic study of a class of covering mixed-integer linear programming problems which encompasses classic cover problems, including multidimensional knapsack, facility location and supplier selection problems. We…

Data Structures and Algorithms · Computer Science 2026-02-12 Kobe Grobben , Phablo F. S. Moura , Hande Yaman

We study optimal decision policies for integer linear programs with a fixed feasible set and varying cost vectors, represented as linear decision trees. Once synthesized for a given feasible set, they return an optimal solution for any…

Optimization and Control · Mathematics 2026-05-05 Théo Guyard , Cleber Oliveira , Maximilian Schiffer , Eduardo Uchoa , Thibaut Vidal

There has been considerable recent interest in explainability in AI, especially with black-box machine learning models. As correctly observed by the planning community, when the application at hand is not a single-shot decision or…

Artificial Intelligence · Computer Science 2025-02-14 Vaishak Belle

Artificial intelligence explanations can make complex predictive models more comprehensible. To be effective, however, they should anticipate and mitigate possible misinterpretations, e.g., arising when users infer incorrect information…

Human-Computer Interaction · Computer Science 2025-08-06 Yueqing Xuan , Kacper Sokol , Mark Sanderson , Jeffrey Chan

By providing explanations for users and system designers to facilitate better understanding and decision making, explainable recommendation has been an important research problem. In this paper, we propose Counterfactual Explainable…

Information Retrieval · Computer Science 2023-02-21 Juntao Tan , Shuyuan Xu , Yingqiang Ge , Yunqi Li , Xu Chen , Yongfeng Zhang

Consider the problem of constructing an experimental design, optimal for estimating parameters of a given statistical model with respect to a chosen criterion. To address this problem, the literature usually provides a single solution.…

Computation · Statistics 2024-11-05 Radoslav Harman , Lenka Filová , Samuel Rosa

Given a straight-line program whose output is a polynomial function of the inputs, we present a new algorithm to compute a concise representation of that unknown function. Our algorithm can handle any case where the unknown function is a…

Symbolic Computation · Computer Science 2014-12-16 Andrew Arnold , Mark Giesbrecht , Daniel S. Roche

An important problem in optimization is the construction of mixed-integer programming (MIP) formulations of disjunctive constraints that are both strong and small. Motivated by lower bounds on the number of integer variables that are…

Optimization and Control · Mathematics 2017-12-05 Joey Huchette , Juan Pablo Vielma

A novel explainable AI method called CLEAR Image is introduced in this paper. CLEAR Image is based on the view that a satisfactory explanation should be contrastive, counterfactual and measurable. CLEAR Image explains an image's…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Adam White , Kwun Ho Ngan , James Phelan , Saman Sadeghi Afgeh , Kevin Ryan , Constantino Carlos Reyes-Aldasoro , Artur d'Avila Garcez

We present strong mixed-integer programming (MIP) formulations for high-dimensional piecewise linear functions that correspond to trained neural networks. These formulations can be used for a number of important tasks, such as verifying…

Optimization and Control · Mathematics 2020-01-23 Ross Anderson , Joey Huchette , Will Ma , Christian Tjandraatmadja , Juan Pablo Vielma

The purpose of this note is to survey a methodology to solve systems of polynomial equations and inequalities. The techniques we discuss use the algebra of multivariate polynomials with coefficients over a field to create large-scale linear…

Optimization and Control · Mathematics 2011-12-08 Jesus A. De Loera , Peter N. Malkin , Pablo A. Parrilo

In practical data integration systems, it is common for the data sources being integrated to provide conflicting information about the same entity. Consequently, a major challenge for data integration is to derive the most complete and…

Databases · Computer Science 2012-03-05 Bo Zhao , Benjamin I. P. Rubinstein , Jim Gemmell , Jiawei Han

In this paper, we study chance constrained mixed integer program with consideration of recourse decisions and their incurred cost, developed on a finite discrete scenario set. Through studying a non-traditional bilinear mixed integer…

Optimization and Control · Mathematics 2016-10-05 Bo Zeng , Yu An , Ludwig Kuznia

Counterfactual explanations are widely used to interpret machine learning predictions by identifying minimal changes to input features that would alter a model's decision. However, most existing counterfactual methods have not been tested…

Machine Learning · Computer Science 2026-02-03 Leonidas Christodoulou , Chang Sun