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We investigate a general framework of multiplicative multitask feature learning which decomposes each task's model parameters into a multiplication of two components. One of the components is used across all tasks and the other component is…

Machine Learning · Computer Science 2016-10-25 Xin Wang , Jinbo Bi , Shipeng Yu , Jiangwen Sun

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…

Data Structures and Algorithms · Computer Science 2025-07-15 Moran Feldman , Alan Kuhnle

We consider whether conditions exist under which block-coordinate descent is asymptotically efficient in evolutionary multi-objective optimization, addressing an open problem. Block-coordinate descent, where an optimization problem is…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Benjamin Doerr , Joshua Knowles , Aneta Neumann , Frank Neumann

Evolutionary algorithms are widely used to solve optimisation problems. However, challenges of transparency arise in both visualising the processes of an optimiser operating through a problem and understanding the problem features produced…

Neural and Evolutionary Computing · Computer Science 2020-06-23 Mathew Walter , David Walker , Matthew Craven

We explore how warm-starting strategies can be integrated into scalarization-based approaches for multi-objective optimization in (mixed) integer linear programming. Scalarization methods remain widely used classical techniques to compute…

Optimization and Control · Mathematics 2025-07-30 Stephanie Riedmüller , Janina Zittel , Thorsten Koch

Biological network alignment is currently in a state of disarray, with more than two dozen network alignment tools having been introduced in the past decade, with no clear winner, and other new tools being published almost quarterly. Part…

Molecular Networks · Quantitative Biology 2017-09-06 Dillon P. Kanne , Wayne B. Hayes

While working on a software specification, designers usually need to evaluate different architectural alternatives to be sure that quality criteria are met. Even when these quality aspects could be expressed in terms of multiple software…

Software Engineering · Computer Science 2024-01-10 Aurora Ramírez , José Raúl Romero , Sebastián Ventura

In this report, we suggest nine test problems for multi-task single-objective optimization (MTSOO), each of which consists of two single-objective optimization tasks that need to be solved simultaneously. The relationship between tasks…

Neural and Evolutionary Computing · Computer Science 2017-06-13 Bingshui Da , Yew-Soon Ong , Liang Feng , A. K. Qin , Abhishek Gupta , Zexuan Zhu , Chuan-Kang Ting , Ke Tang , Xin Yao

In Multi-Task Learning (MTL), it is a common practice to train multi-task networks by optimizing an objective function, which is a weighted average of the task-specific objective functions. Although the computational advantages of this…

Machine Learning · Computer Science 2022-07-19 Lucas Pascal , Pietro Michiardi , Xavier Bost , Benoit Huet , Maria A. Zuluaga

In this paper, we consider a new scalarization function for set-valued maps. As the main goal, by using this scalarization function, we obtain some Weierstrass-type theorems for the noncontinuous set optimization problems via the coercivity…

Optimization and Control · Mathematics 2023-11-15 Fatemeh Fakhar , Hamid Reza Hajisharifi , Zeinab Soltani

In multiobjective optimisation, a set of scalable test problems with a variety of features allow researchers to investigate and evaluate the abilities of different optimisation algorithms, and thus can help them to design and develop more…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Liangli Zhen , Miqing Li , Ran Cheng , Dezhong Peng , Xin Yao

Bi-objective optimization problems on matroids are in general intractable and their corresponding decision problems are in general NP-hard. However, if one of the objective functions is restricted to binary cost coefficients the problem…

Optimization and Control · Mathematics 2022-04-12 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

Known as two cornerstones of problem solving by search, exploitation and exploration are extensively discussed for implementation and application of evolutionary algorithms (EAs). However, only a few researches focus on evaluation and…

Neural and Evolutionary Computing · Computer Science 2020-01-30 Yu Chen , Jun He

Convex quadratic objective functions are an important base case in state-of-the-art benchmark collections for single-objective optimization on continuous domains. Although often considered rather simple, they represent the highly relevant…

Neural and Evolutionary Computing · Computer Science 2019-04-04 Tobias Glasmachers

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

Optimization and Control · Mathematics 2026-05-13 Trang H. Tran , Luis Nunes Vicente

The incentive for using Evolutionary Algorithms (EAs) for the automated optimization and training of deep neural networks (DNNs), a process referred to as neuroevolution, has gained momentum in recent years. The configuration and training…

Neural and Evolutionary Computing · Computer Science 2022-05-09 Fergal Stapleton , Edgar Galván , Ganesh Sistu , Senthil Yogamani

When dealing with continuous single-objective problems, multimodality poses one of the biggest difficulties for global optimization. Local optima are often preventing algorithms from making progress and thus pose a severe threat. In this…

Neural and Evolutionary Computing · Computer Science 2020-06-26 Vera Steinhoff , Pascal Kerschke , Christian Grimme

Multi-objective reinforcement learning (MORL) addresses the challenge of simultaneously optimizing multiple, often conflicting, rewards, moving beyond the single-reward focus of conventional reinforcement learning (RL). This approach is…

Neural and Evolutionary Computing · Computer Science 2025-05-21 Carlos Hernández , Roberto Santana

In this work we consider multitasking in the context of solving multiple optimization problems simultaneously by conducting a single search process. The principal goal when dealing with this scenario is to dynamically exploit the existing…

Neural and Evolutionary Computing · Computer Science 2021-08-20 Eneko Osaba , Aritz D. Martinez , Javier Del Ser