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In this paper, a new one-parameter filled function approach is developed for nonlinear multi-objective optimization. Inspired by key filled function ideas from single-objective optimization, the proposed method is adapted to the…

Optimization and Control · Mathematics 2026-04-01 Bikram Adhikary , Md Abu Talhamainuddin Ansary

This paper proposes a novel federated algorithm that leverages momentum-based variance reduction with adaptive learning to address non-convex settings across heterogeneous data. We intend to minimize communication and computation overhead,…

Machine Learning · Computer Science 2024-12-17 Dipanwita Thakur , Antonella Guzzo , Giancarlo Fortino , Sajal K. Das

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

Optimization and Control · Mathematics 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie

Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally…

Optimization and Control · Mathematics 2025-10-13 Shuzhi Xu , Yifan Guo , Hiroki Kawabe , Kentaro Yaji

In this paper, we scale evolutionary algorithms to high-dimensional optimization problems that deceptively possess a low effective dimensionality (certain dimensions do not significantly affect the objective function). To this end, an…

Neural and Evolutionary Computing · Computer Science 2024-01-02 Yaqing Hou , Mingyang Sun , Abhishek Gupta , Yaochu Jin , Haiyin Piao , Hongwei Ge , Qiang Zhang

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

Neural and Evolutionary Computing · Computer Science 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt

With the continuous improvement of the performance of object detectors via advanced model architectures, imbalance problems in the training process have received more attention. It is a common paradigm in object detection frameworks to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Yihao Luo , Xiang Cao , Juntao Zhang , Peng Cheng , Tianjiang Wang , Qi Feng

Projected gradient descent has been proved efficient in many optimization and machine learning problems. The weighted $\ell_1$ ball has been shown effective in sparse system identification and features selection. In this paper we propose…

Machine Learning · Computer Science 2020-09-08 Guillaume Perez , Sebastian Ament , Carla Gomes , Michel Barlaud

Indicator-based (multiobjective) diversity optimization aims at finding a set of near (Pareto-)optimal solutions that maximizes a diversity indicator, where diversity is typically interpreted as the number of essentially different…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Ksenia Pereverdieva , André Deutz , Tessa Ezendam , Thomas Bäck , Hèrm Hofmeyer , Michael T. M. Emmerich

The biological plausibility of the backpropagation algorithm has long been doubted by neuroscientists. Two major reasons are that neurons would need to send two different types of signal in the forward and backward phases, and that pairs of…

Machine Learning · Computer Science 2018-08-16 Benjamin Scellier , Anirudh Goyal , Jonathan Binas , Thomas Mesnard , Yoshua Bengio

In this paper, we introduce EvoPort, a novel evolutionary portfolio optimization method that leverages stochastic exploration over a spectrum of investment pipeline depths. From raw equity data, we employ a randomized feature generation…

Computation · Statistics 2025-06-11 Nguyen Van Thanh , Nguyen Thi Hau

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

Designing a transcranial electrical stimulation (TES) strategy requires considering multiple objectives, such as intensity in the target area, focality, stimulation depth, and avoidance zone, which are often mutually exclusive. A…

Quantitative Methods · Quantitative Biology 2023-09-13 Mo Wang , Kexin Lou , Zeming Liu , Pengfei Wei , Quanying Liu

Portfolio optimization is a financial task which requires the allocation of capital on a set of financial assets to achieve a better trade-off between return and risk. To solve this problem, recent studies applied multi-objective…

Neural and Evolutionary Computing · Computer Science 2020-03-17 Yifan He , Claus Aranha

Dynamic multiobjective optimization problems (DMOPs) feature time-varying objectives, which cause the Pareto optimal solution (POS) set to drift over time and make it difficult to maintain both convergence and diversity under limited…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Jian Guan , Huolong Wu , Zhenzhong Wang , Gary G. Yen , Min Jiang

Aggregation functions largely determine the convergence and diversity performance of multi-objective evolutionary algorithms in decomposition methods. Nevertheless, the traditional Tchebycheff function does not consider the matching…

Optimization and Control · Mathematics 2022-02-08 Xiaojun Zhou , Yuan Gao , Shengxiang Yang , Chunhua Yang , Jiajia Zhou

Blind deconvolution has made significant progress in the past decade. Most successful algorithms are classified either as Variational or Maximum a-Posteriori ($MAP$). In spite of the superior theoretical justification of variational…

Computer Vision and Pattern Recognition · Computer Science 2014-06-17 Dilip Krishnan , Joan Bruna , Rob Fergus

We propose a novel framework for optimizing injection strategies in large-scale CO$_2$ storage combining multi-agent models with multi-objective optimization, and reservoir simulation. We investigate whether agents should form coalitions…

Numerical Analysis · Mathematics 2024-06-13 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

Real-world problems are often comprised of many objectives and require solutions that carefully trade-off between them. Current approaches to many-objective optimization often require challenging assumptions, like knowledge of the…

Neural and Evolutionary Computing · Computer Science 2023-07-07 Jackson Dean , Nick Cheney

We consider the problem of tracking multiple, unknown, and time-varying numbers of objects using a distributed network of heterogeneous sensors. In an effort to derive a formulation for practical settings, we consider limited and unknown…

Multiagent Systems · Computer Science 2024-09-12 Fei Chen , Hoa Van Nguyen , Alex S. Leong , Sabita Panicker , Robin Baker , Damith C. Ranasinghe