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We propose a method to solve online mixed-integer optimization (MIO) problems at very high speed using machine learning. By exploiting the repetitive nature of online optimization, we are able to greatly speedup the solution time. Our…

Optimization and Control · Mathematics 2021-03-24 Dimitris Bertsimas , Bartolomeo Stellato

Leveraging machine learning to facilitate the optimization process is an emerging field that holds the promise to bypass the fundamental computational bottleneck caused by classic iterative solvers in critical applications requiring…

Machine Learning · Computer Science 2022-07-18 Xinran Liu , Yuzhe Lu , Ali Abbasi , Meiyi Li , Javad Mohammadi , Soheil Kolouri

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

Optimization and Control · Mathematics 2022-06-15 Theodore Papalexopoulos , Christian Tjandraatmadja , Ross Anderson , Juan Pablo Vielma , David Belanger

Channel decoding, channel detection, channel assessment, and resource management for wireless multiple-input multiple-output (MIMO) systems are all examples of problems where machine learning (ML) can be successfully applied. In this paper,…

Signal Processing · Electrical Eng. & Systems 2021-12-30 Evgeny Bobrov , Sergey Troshin , Nadezhda Chirkova , Ekaterina Lobacheva , Sviatoslav Panchenko , Dmitry Vetrov , Dmitry Kropotov

Machine learning (ML) pipeline composition and optimisation have been studied to seek multi-stage ML models, i.e. preprocessor-inclusive, that are both valid and well-performing. These processes typically require the design and traversal of…

Machine Learning · Computer Science 2021-05-04 Tien-Dung Nguyen , David Jacob Kedziora , Katarzyna Musial , Bogdan Gabrys

Cross-project defect prediction (CPDP) leverages machine learning (ML) techniques to proactively identify software defects, especially where project-specific data is scarce. However, developing a robust ML pipeline with optimal…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Jiaxin Chen , Jinliang Ding , Kay Chen Tan , Jiancheng Qian , Ke Li

The effectiveness and efficiency of machine learning methodologies are crucial, especially with respect to the quality of results and computational cost. This paper discusses different model optimization techniques, providing a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-30 Marcin Lawenda , Kyrylo Khloponin , Krzesimir Samborski , Łukasz Szustak

Mixed-Integer Programs (MIPs) are NP-hard optimization models that arise in a broad range of decision-making applications, including finance, logistics, energy systems, and network design. Although modern commercial solvers have achieved…

In this paper, we study several important geometric optimization problems arising in machine learning. First, we revisit the Minimum Enclosing Ball (MEB) problem in Euclidean space $\mathbb{R}^d$. The problem has been extensively studied…

Data Structures and Algorithms · Computer Science 2023-01-10 Hu Ding

Personalization in machine learning (ML) tailors models' decisions to the individual characteristics of users. While this approach has seen success in areas like recommender systems, its expansion into high-stakes fields such as healthcare…

Machine Learning · Computer Science 2024-01-15 Dmitry Ivanov , Omer Ben-Porat

Automated hyperparameter optimization (HPO) can support practitioners to obtain peak performance in machine learning models. However, there is often a lack of valuable insights into the effects of different hyperparameters on the final…

Machine Learning · Computer Science 2022-01-27 Julia Moosbauer , Julia Herbinger , Giuseppe Casalicchio , Marius Lindauer , Bernd Bischl

This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

Artificial Intelligence · Computer Science 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

Stochastic computer simulations enable users to gain new insights into complex physical systems. Optimization is a common problem in this context: users seek to find model inputs that maximize the expected value of an objective function.…

Optimization and Control · Mathematics 2018-09-13 Atiye Alaeddini , Daniel J. Klein

How to automatically design better machine learning programs is an open problem within AutoML. While evolution has been a popular tool to search for better ML programs, using learning itself to guide the search has been less successful and…

Machine Learning · Computer Science 2024-02-09 John D. Co-Reyes , Yingjie Miao , George Tucker , Aleksandra Faust , Esteban Real

We study the problem of selecting $k$ experiments from a larger candidate pool, where the goal is to maximize mutual information (MI) between the selected subset and the underlying parameters. Finding the exact solution is to this…

Machine Learning · Statistics 2024-02-26 Fengyi Li , Ayoub Belhadji , Youssef Marzouk

In this report, we describe three encodings of the multiple constant multiplication (MCM) problem to pseudo-boolean satisfiability (PBS), and introduce an algorithm to solve the MCM problem optimally. To the best of our knowledge, the…

Logic in Computer Science · Computer Science 2015-03-17 Nuno P. Lopes , Levent Aksoy , Vasco Manquinho , José Monteiro

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

In [1, 2], we have explored the theoretical aspects of feature extraction optimization processes for solving largescale problems and overcoming machine learning limitations. Majority of optimization algorithms that have been introduced in…

Machine Learning · Computer Science 2019-08-28 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

Efficiency of self-optimizing systems is heavily dependent on their optimization strategies, e.g., choosing exact or approximate solver. A choice of such a strategy, in turn, is influenced by numerous factors, such as re-optimization time,…

Machine Learning · Computer Science 2019-09-10 Dmytro Pukhkaiev , Uwe Aßmann

Large Language Model (LLM) agents have demonstrated impressive capabilities in handling complex interactive problems. Existing LLM agents mainly generate natural language plans to guide reasoning, which is verbose and inefficient. NL plans…

Artificial Intelligence · Computer Science 2025-06-03 Zouying Cao , Runze Wang , Yifei Yang , Xinbei Ma , Xiaoyong Zhu , Bo Zheng , Hai Zhao