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Related papers: pymoo: Multi-objective Optimization in Python

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For a wide range of applications the structure of systems like Neural Networks or complex simulations, is unknown and approximation is costly or even impossible. Black-box optimization seeks to find optimal (hyper-) parameters for these…

Machine Learning · Computer Science 2023-09-06 Janina Schreiber , Damar Wicaksono , Michael Hecht

Theano is a Python library that allows to define, optimize, and evaluate mathematical expressions involving multi-dimensional arrays efficiently. Since its introduction, it has been one of the most used CPU and GPU mathematical compilers -…

Symbolic Computation · Computer Science 2016-05-10 The Theano Development Team , Rami Al-Rfou , Guillaume Alain , Amjad Almahairi , Christof Angermueller , Dzmitry Bahdanau , Nicolas Ballas , Frédéric Bastien , Justin Bayer , Anatoly Belikov , Alexander Belopolsky , Yoshua Bengio , Arnaud Bergeron , James Bergstra , Valentin Bisson , Josh Bleecher Snyder , Nicolas Bouchard , Nicolas Boulanger-Lewandowski , Xavier Bouthillier , Alexandre de Brébisson , Olivier Breuleux , Pierre-Luc Carrier , Kyunghyun Cho , Jan Chorowski , Paul Christiano , Tim Cooijmans , Marc-Alexandre Côté , Myriam Côté , Aaron Courville , Yann N. Dauphin , Olivier Delalleau , Julien Demouth , Guillaume Desjardins , Sander Dieleman , Laurent Dinh , Mélanie Ducoffe , Vincent Dumoulin , Samira Ebrahimi Kahou , Dumitru Erhan , Ziye Fan , Orhan Firat , Mathieu Germain , Xavier Glorot , Ian Goodfellow , Matt Graham , Caglar Gulcehre , Philippe Hamel , Iban Harlouchet , Jean-Philippe Heng , Balázs Hidasi , Sina Honari , Arjun Jain , Sébastien Jean , Kai Jia , Mikhail Korobov , Vivek Kulkarni , Alex Lamb , Pascal Lamblin , Eric Larsen , César Laurent , Sean Lee , Simon Lefrancois , Simon Lemieux , Nicholas Léonard , Zhouhan Lin , Jesse A. Livezey , Cory Lorenz , Jeremiah Lowin , Qianli Ma , Pierre-Antoine Manzagol , Olivier Mastropietro , Robert T. McGibbon , Roland Memisevic , Bart van Merriënboer , Vincent Michalski , Mehdi Mirza , Alberto Orlandi , Christopher Pal , Razvan Pascanu , Mohammad Pezeshki , Colin Raffel , Daniel Renshaw , Matthew Rocklin , Adriana Romero , Markus Roth , Peter Sadowski , John Salvatier , François Savard , Jan Schlüter , John Schulman , Gabriel Schwartz , Iulian Vlad Serban , Dmitriy Serdyuk , Samira Shabanian , Étienne Simon , Sigurd Spieckermann , S. Ramana Subramanyam , Jakub Sygnowski , Jérémie Tanguay , Gijs van Tulder , Joseph Turian , Sebastian Urban , Pascal Vincent , Francesco Visin , Harm de Vries , David Warde-Farley , Dustin J. Webb , Matthew Willson , Kelvin Xu , Lijun Xue , Li Yao , Saizheng Zhang , Ying Zhang

Multi-Objective Alignment (MOA) aims to align LLMs' responses with multiple human preference objectives, with Direct Preference Optimization (DPO) emerging as a prominent approach. However, we find that DPO-based MOA approaches suffer from…

Machine Learning · Computer Science 2025-12-09 Moxin Li , Yuantao Zhang , Wenjie Wang , Wentao Shi , Zhuo Liu , Fuli Feng , Tat-Seng Chua

It is widely recognized in modern machine learning practice that access to a diverse set of tasks can enhance performance across those tasks. This observation suggests that, unlike in general multi-objective optimization, the objectives in…

Machine Learning · Computer Science 2025-09-09 Ben Kretzu , Karen Ullrich , Yonathan Efroni

In the domain of multi-objective optimization, evolutionary algorithms are distinguished by their capability to generate a diverse population of solutions that navigate the trade-offs inherent among competing objectives. This has catalyzed…

Neural and Evolutionary Computing · Computer Science 2025-01-07 Yuxin Ma , Zherui Zhang , Ran Cheng , Yaochu Jin , Kay Chen Tan

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

Recently, there has been an increasing interest in the application of multiobjective optimization (MOO) in machine learning (ML). This interest is driven by the numerous real-life situations where multiple objectives must be optimized…

Machine Learning · Computer Science 2025-04-30 Junaid Akhter , Paul David Fährmann , Konstantin Sonntag , Sebastian Peitz , Daniel Schwietert

Finding optimal solutions of conflicting objectives is a daily matter in many industrial applications, with multi-objective optimization trying to find the best solutions to them. The advent of quantum computing has led to researchers…

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

Neural and Evolutionary Computing · Computer Science 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

Training a single model for multilingual, multi-task speech processing (MSP) is severely hampered by conflicting objectives between tasks like speech recognition and translation. While multi-objective optimization (MOO) aims to align…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-14 A F M Saif , Lisha Chen , Xiaodong Cui , Songtao Lu , Brian Kingsbury , Tianyi Chen

Machine learning has become a crucial part of our lives, with applications spanning nearly every aspect of our daily activities. However, using personal information in machine learning applications has sparked significant security and…

Cryptography and Security · Computer Science 2025-10-14 Nges Brian Njungle , Eric Jahns , Luigi Mastromauro , Edwin P. Kayang , Milan Stojkov , Michel A. Kinsy

Molecular optimization is a fundamental goal in the chemical sciences and is of central interest to drug and material design. In recent years, significant progress has been made in solving challenging problems across various aspects of…

Computational Engineering, Finance, and Science · Computer Science 2022-10-11 Wenhao Gao , Tianfan Fu , Jimeng Sun , Connor W. Coley

We present PESMO, a Bayesian method for identifying the Pareto set of multi-objective optimization problems, when the functions are expensive to evaluate. The central idea of PESMO is to choose evaluation points so as to maximally reduce…

Machine Learning · Statistics 2016-02-23 Daniel Hernández-Lobato , José Miguel Hernández-Lobato , Amar Shah , Ryan P. Adams

Multi-objective optimization problems (MOPs) are ubiquitous in real-world applications, presenting a complex challenge of balancing multiple conflicting objectives. Traditional evolutionary algorithms (EAs), though effective, often rely on…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Yuxiao Huang , Shenghao Wu , Wenjie Zhang , Jibin Wu , Liang Feng , Kay Chen Tan

In multi-task learning, multiple tasks are solved jointly, sharing inductive bias between them. Multi-task learning is inherently a multi-objective problem because different tasks may conflict, necessitating a trade-off. A common compromise…

Machine Learning · Computer Science 2019-01-14 Ozan Sener , Vladlen Koltun

In scenarios where multiple decision-makers operate within a common decision space, each focusing on their own multi-objective optimization problem (e.g., bargaining games), the problem can be modeled as a multi-party multi-objective…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Yuetong Sun , Peilan Xu , Wenjian Luo

Automated machine learning has gained a lot of attention recently. Building and selecting the right machine learning models is often a multi-objective optimization problem. General purpose machine learning software that simultaneously…

Machine Learning · Computer Science 2019-08-15 Steven Gardner , Oleg Golovidov , Joshua Griffin , Patrick Koch , Wayne Thompson , Brett Wujek , Yan Xu

We introduce VOPy, an open-source Python library designed to address black-box vector optimization, where multiple objectives must be optimized simultaneously with respect to a partial order induced by a convex cone. VOPy extends beyond…

Machine Learning · Computer Science 2024-12-10 Yaşar Cahit Yıldırım , Efe Mert Karagözlü , İlter Onat Korkmaz , Çağın Ararat , Cem Tekin

Robot motion can have many goals. Depending on the task, we might optimize for pose error, speed, collision, or similarity to a human demonstration. Motivated by this, we present PyRoki: a modular, extensible, and cross-platform toolkit for…

Robotics · Computer Science 2025-05-07 Chung Min Kim , Brent Yi , Hongsuk Choi , Yi Ma , Ken Goldberg , Angjoo Kanazawa

Recent advances in computing hardware and modeling software have given rise to new applications for numerical optimization. These new applications occasionally uncover bottlenecks in existing optimization algorithms and necessitate further…

Mathematical Software · Computer Science 2024-10-18 Anugrah Jo Joshy , John T. Hwang