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This paper surveys the machine learning literature and presents in an optimization framework several commonly used machine learning approaches. Particularly, mathematical optimization models are presented for regression, classification,…

Optimization and Control · Mathematics 2021-01-12 Claudio Gambella , Bissan Ghaddar , Joe Naoum-Sawaya

In robotics, methods and softwares usually require optimizations of hyperparameters in order to be efficient for specific tasks, for instance industrial bin-picking from homogeneous heaps of different objects. We present a developmental…

Robotics · Computer Science 2020-07-31 Maxime Petit , Emmanuel Dellandrea , Liming Chen

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

Classification tasks are usually evaluated in terms of accuracy. However, accuracy is discontinuous and cannot be directly optimized using gradient ascent. Popular methods minimize cross-entropy, hinge loss, or other surrogate losses, which…

Machine Learning · Computer Science 2024-07-25 Ivan Karpukhin , Stanislav Dereka , Sergey Kolesnikov

Large language models (LLMs) have demonstrated exceptional performance not only in natural language processing tasks but also in a great variety of non-linguistic domains. In diverse optimization scenarios, there is also a rising trend of…

Neural and Evolutionary Computing · Computer Science 2024-07-09 Beichen Huang , Xingyu Wu , Yu Zhou , Jibin Wu , Liang Feng , Ran Cheng , Kay Chen Tan

Non-discrimination is a recognized objective in algorithmic decision making. In this paper, we introduce a novel probabilistic formulation of data pre-processing for reducing discrimination. We propose a convex optimization for learning a…

Machine Learning · Statistics 2017-04-12 Flavio P. Calmon , Dennis Wei , Karthikeyan Natesan Ramamurthy , Kush R. Varshney

In the last years decision-focused learning framework, also known as predict-and-optimize, have received increasing attention. In this setting, the predictions of a machine learning model are used as estimated cost coefficients in the…

Machine Learning · Computer Science 2022-06-20 Jayanta Mandi , Víctor Bucarey , Maxime Mulamba , Tias Guns

There is a significant gap between our theoretical understanding of optimization algorithms used in deep learning and their practical performance. Theoretical development usually focuses on proving convergence guarantees under a variety of…

Machine Learning · Computer Science 2025-11-03 Hoang Tran , Qinzi Zhang , Ashok Cutkosky

Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine…

Machine Learning · Computer Science 2022-10-06 Li Yang , Abdallah Shami

While deep reinforcement learning techniques have recently produced considerable achievements on many decision-making problems, their use in robotics has largely been limited to simulated worlds or restricted motions, since unconstrained…

Robotics · Computer Science 2018-02-26 Tu-Hoa Pham , Giovanni De Magistris , Ryuki Tachibana

Model instability and poor prediction of long-term behavior are common problems when modeling dynamical systems using nonlinear "black-box" techniques. Direct optimization of the long-term predictions, often called simulation error…

Systems and Control · Computer Science 2017-01-25 Mark M. Tobenkin , Ian R. Manchester , Alexandre Megretski

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

Implicit layer deep learning techniques, like Neural Differential Equations, have become an important modeling framework due to their ability to adapt to new problems automatically. Training a neural differential equation is effectively a…

Machine Learning · Computer Science 2023-06-05 Avik Pal , Alan Edelman , Chris Rackauckas

We consider joint optimization and learning problems arising in real-time decision systems. While most existing work focuses primarily on convex, revenue-based objectives, we extend this line of research to multi-objective formulations. In…

Optimization and Control · Mathematics 2026-04-14 Zijun Li , Aswin Kannan

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

Optimization and Control · Mathematics 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

Black-box optimization (BBO) has a broad range of applications, including automatic machine learning, engineering, physics, and experimental design. However, it remains a challenge for users to apply BBO methods to their problems at hand…

Machine Learning · Computer Science 2021-11-05 Yang Li , Yu Shen , Wentao Zhang , Yuanwei Chen , Huaijun Jiang , Mingchao Liu , Jiawei Jiang , Jinyang Gao , Wentao Wu , Zhi Yang , Ce Zhang , Bin Cui

The field of optimization has gotten a lot of interest in recent years owing to significant advances in computer technology. Numerous issues in machine learning, economics, finance, geophysics, molecular modeling, computational systems…

Optimization and Control · Mathematics 2023-02-14 M. M. Hammad , M. M. Yahia

Most existing distance metric learning methods assume perfect side information that is usually given in pairwise or triplet constraints. Instead, in many real-world applications, the constraints are derived from side information, such as…

Machine Learning · Computer Science 2012-03-19 Kaizhu Huang , Rong Jin , Zenglin Xu , Cheng-Lin Liu

The most data-efficient algorithms for reinforcement learning (RL) in robotics are based on uncertain dynamical models: after each episode, they first learn a dynamical model of the robot, then they use an optimization algorithm to find a…

Algorithm selection, aiming to identify the best algorithm for a given problem, plays a pivotal role in continuous black-box optimization. A common approach involves representing optimization functions using a set of features, which are…

Machine Learning · Computer Science 2025-05-13 Gašper Petelin , Gjorgjina Cenikj
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