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We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

A local algorithm is a distributed algorithm where each node must operate solely based on the information that was available at system startup within a constant-size neighbourhood of the node. We study the applicability of local algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-09-09 Patrik Floréen , Petteri Kaski , Topi Musto , Jukka Suomela

We present a solver for Mixed Integer Programs (MIP) developed for the MIP competition 2022. Given the 10 minutes bound on the computational time established by the rules of the competition, our method focuses on finding a feasible solution…

Artificial Intelligence · Computer Science 2022-06-22 Warley Almeida Silva , Federico Bobbio , Flore Caye , Defeng Liu , Justine Pepin , Carl Perreault-Lafleur , William St-Arnaud

The design of genome-scale constraint-based metabolic networks has steadily advanced, with an increasing number of successful cases achieving growth-coupled production, in which the biosynthesis of key metabolites is linked to cell growth.…

Molecular Networks · Quantitative Biology 2026-05-19 Yier Ma , Takeyuki Tamura

In recent years, deep neural networks have had great success in machine learning and pattern recognition. Architecture size for a neural network contributes significantly to the success of any neural network. In this study, we optimize the…

Machine Learning · Computer Science 2021-01-19 Yigit Alparslan , Ethan Jacob Moyer , Isamu Mclean Isozaki , Daniel Schwartz , Adam Dunlop , Shesh Dave , Edward Kim

The question of what can be computed, and how efficiently, are at the core of computer science. Not surprisingly, in distributed systems and networking research, an equally fundamental question is what can be computed in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-01 Fabian Kuhn , Thomas Moscibroda , Roger Wattenhofer

Combinatorial optimization problems arise in a wide range of applications from diverse domains. Many of these problems are NP-hard and designing efficient heuristics for them requires considerable time and experimentation. On the other…

Data Structures and Algorithms · Computer Science 2020-01-07 Juho Lauri , Sourav Dutta , Marco Grassia , Deepak Ajwani

Reinforcement learning (RL) algorithms can be used to provide personalized services, which rely on users' private and sensitive data. To protect the users' privacy, privacy-preserving RL algorithms are in demand. In this paper, we study RL…

Machine Learning · Computer Science 2021-10-20 Chonghua Liao , Jiafan He , Quanquan Gu

This paper extends the work in [Suzuki, 1996] and presents an efficient depth-first branch-and-bound algorithm for learning Bayesian network structures, based on the minimum description length (MDL) principle, for a given (consistent)…

Artificial Intelligence · Computer Science 2013-01-18 Jin Tian

We present a scalable machine learning (ML) framework for predicting intensive properties and particularly classifying phases of many-body systems. Scalability and transferability are central to the unprecedented computational efficiency of…

Statistical Mechanics · Physics 2024-06-18 Zhongzheng Tian , Sheng Zhang , Gia-Wei Chern

We apply a branch-and-bound (B\&B) algorithm to the D-optimality problem based on a convex mixed-integer nonlinear formulation. We discuss possible methodologies to accelerate the convergence of the B\&B algorithm, by combining the use of…

Optimization and Control · Mathematics 2023-02-16 Gabriel Ponte , Marcia Fampa , Jon Lee

This paper presents a methodology for integrating machine learning techniques into metaheuristics for solving combinatorial optimization problems. Namely, we propose a general machine learning framework for neighbor generation in…

Optimization and Control · Mathematics 2022-12-23 Defeng Liu , Vincent Perreault , Alain Hertz , Andrea Lodi

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

Artificial Intelligence · Computer Science 2020-12-01 André Hottung , Kevin Tierney

Linear regression is a fundamental modeling tool in statistics and related fields. In this paper, we study an important variant of linear regression in which the predictor-response pairs are partially mismatched. We use an optimization…

Optimization and Control · Mathematics 2022-11-01 Rahul Mazumder , Haoyue Wang

Large Language Models (LLMs) with inference-time scaling techniques show promise for code generation, yet face notable efficiency and scalability challenges. Construction-based tree-search methods suffer from rapid growth in tree size, high…

Computation and Language · Computer Science 2025-08-12 Zhiyi Lyu , Jianguo Huang , Yanchen Deng , Steven Hoi , Bo An

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

We consider the Continuous Energy-Constrained Scheduling Problem (CECSP). A set of jobs has to be processed on a continuous, shared resource. A schedule for a job consists of a start time, completion time, and a resource consumption…

Optimization and Control · Mathematics 2024-10-16 Roel Brouwer , Marjan van den Akker , Han Hoogeveen

Linear mixed models (LMMs), which incorporate fixed and random effects, are key tools for analyzing heterogeneous data, such as in personalized medicine. Nowadays, this type of data is increasingly wide, sometimes containing thousands of…

Machine Learning · Statistics 2026-05-15 Ryan Thompson , Matt P. Wand , Joanna J. J. Wang

Branch-and-bound is a systematic enumerative method for combinatorial optimization, where the performance highly relies on the variable selection strategy. State-of-the-art handcrafted heuristic strategies suffer from relatively slow…

Machine Learning · Computer Science 2022-06-15 Tianyu Zhang , Amin Banitalebi-Dehkordi , Yong Zhang

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

Computer Science and Game Theory · Computer Science 2007-05-23 Rica Gonen , Daniel Lehmann
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