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The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

Optimization and Control · Mathematics 2023-12-05 Jiawang Nie , Zi Yang

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

To ensure the reliability of DNN systems and address the test generation problem for neural networks, this paper proposes a fuzzing test generation technique based on many-objective optimization algorithms. Traditional fuzz testing employs…

Software Engineering · Computer Science 2024-11-05 Dongcheng Li , W. Eric Wong , Hu Liu , Man Zhao

Background: Fuzzers are often guided by coverage, making the estimation of maximum achievable coverage a key concern in fuzzing. However, achieving 100% coverage is infeasible for most real-world software systems, regardless of effort.…

Software Engineering · Computer Science 2025-07-24 Danushka Liyanage , Nelum Attanayake , Zijian Luo , Rahul Gopinath

We present a new model for finding the optimal placement of electric vehicle charging stations across a multi-period time frame so as to maximise electric vehicle adoption. Via the use of advanced discrete choice models and user classes,…

Optimization and Control · Mathematics 2023-05-26 Steven Lamontagne , Margarida Carvalho , Emma Frejinger , Bernard Gendron , Miguel F. Anjos , Ribal Atallah

The theory of Chebyshev (uniform) approximation for univariate polynomial and piecewise polynomial functions has been studied for decades. The optimality conditions are based on the notion of alternating sequence. However, the extension the…

Numerical Analysis · Mathematics 2017-09-01 Nadezda Sukhorukova , Julien Ugon , David Yost

The research interest of this paper is focused on the efficient clustering task for an arbitrary color data. In order to tackle this problem, we have tried to model the inherent uncertainty and vagueness of color data using fuzzy color…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Dae-Won Kim , Kwang H. Lee

This paper considers the generalized maximal covering location problem (GMCLP) which establishes a fixed number of facilities to maximize the weighted sum of the covered customers, allowing customer weights to be positive or negative. Due…

Optimization and Control · Mathematics 2025-05-12 Wei Lv , Cheng-Yang Yu , Jie Liang , Wei-Kun Chen , Yu-Hong Dai

Reliable corner detection is an important task in determining the shape of different regions within an image. Real-life image data are always imprecise due to inherent uncertainties that may arise from the imaging process such as…

Computer Vision and Pattern Recognition · Computer Science 2014-05-22 Erik Cuevas , Daniel Zaldivar , Marco Perez , Edgar Sanchez , Marte Ramirez

The problem of mobile position estimation in multipath scenarios is addressed. A low-complexity, fully-adaptive algorithm is proposed, based on the pseudo maximum likelihood approach. The processing is done exclusively on-board at the…

Signal Processing · Electrical Eng. & Systems 2019-02-12 Alessio Fascista , Angelo Coluccia , Giuseppe Ricci

The purpose of this paper is to study a non-convex fuzzy multi-objective quadratic programming problem, in which both the technological coefficients and resources are fuzzy with nonlinear membership function. A computational procedure to…

Optimization and Control · Mathematics 2013-08-02 Shashi Aggarwal , Uday Sharma

Range-based localization is ubiquitous: global navigation satellite systems (GNSS) power mobile phone-based navigation, and autonomous mobile robots can use range measurements from a variety of modalities including sonar, radar, and even…

Robotics · Computer Science 2024-05-21 Ethan Sequeira , Hussein Saad , Stephen Kelly , Matthew Giamou

Given a compact subset of a Banach space, the Chebyshev center problem consists of finding a minimal circumscribing ball containing the set. In this article we establish a numerically tractable algorithm for solving the Chebyshev center…

Optimization and Control · Mathematics 2023-07-06 Pradyumna Paruchuri , Debasish Chatterjee

Pareto Front Learning (PFL) was recently introduced as an efficient method for approximating the entire Pareto front, the set of all optimal solutions to a Multi-Objective Optimization (MOO) problem. In the previous work, the mapping…

Optimization and Control · Mathematics 2023-08-15 Tran Anh Tuan , Long P. Hoang , Dung D. Le , Tran Ngoc Thang

In this paper, we study a latticized optimization problem with fuzzy relational inequality constraints where the feasible region is formed as the intersection of two inequality fuzzy systems and Sugeno-Weber family of t-norms is considered…

Optimization and Control · Mathematics 2025-09-17 Amin Ghodousian , Sara Zal , Minoo Ahmadi

Optimizing nonlinear systems involving expensive computer experiments with regard to conflicting objectives is a common challenge. When the number of experiments is severely restricted and/or when the number of objectives increases,…

Machine Learning · Statistics 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

In this article, we study the inconsistency of a system of $\max-T$ fuzzy relational equations of the form $A \Box_{T}^{\max} x = b$, where $T$ is a t-norm among $\min$, the product or Lukasiewicz's t-norm. For an inconsistent $\max-T$…

Artificial Intelligence · Computer Science 2023-11-07 Ismaïl Baaj

The combination of higher-order theories and fuzzy logic can be useful in decision-making tasks that involve reasoning across abstract functions and predicates, where exact matches are often rare or unnecessary. Developing efficient…

Artificial Intelligence · Computer Science 2025-07-18 Besik Dundua , Temur Kutsia

In this paper we study the high-dimensional super-resolution imaging problem. Here we are given an image of a number of point sources of light whose locations and intensities are unknown. The image is pixelized and is blurred by a known…

Optimization and Control · Mathematics 2022-10-19 Bakytzhan Kurmanbek , Elina Robeva

One-max search is a classic problem in online decision-making, in which a trader acts on a sequence of revealed prices and accepts one of them irrevocably to maximise its profit. The problem has been studied both in probabilistic and in…

Data Structures and Algorithms · Computer Science 2025-02-11 Ziyad Benomar , Lorenzo Croissant , Vianney Perchet , Spyros Angelopoulos