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Circuit routing is a fundamental problem in designing electronic systems such as integrated circuits (ICs) and printed circuit boards (PCBs) which form the hardware of electronics and computers. Like finding paths between pairs of…

Artificial Intelligence · Computer Science 2020-06-25 Youbiao He , Forrest Sheng Bao

Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines learning methods on solver heuristics has shown potential to overcome this issue allowing for applications…

Robotics · Computer Science 2021-10-05 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

Organizations are increasingly focused on leveraging data from their processes to gain insights and drive decision-making. However, converting this data into actionable knowledge remains a difficult and time-consuming task. There is often a…

Artificial Intelligence · Computer Science 2025-10-02 Pietro Totis , Alberto Pozanco , Daniel Borrajo

As collaborative learning allows joint training of a model using multiple sources of data, the security problem has been a central concern. Malicious users can upload poisoned data to prevent the model's convergence or inject hidden…

Cryptography and Security · Computer Science 2021-01-21 Ximing Qiao , Yuhua Bai , Siping Hu , Ang Li , Yiran Chen , Hai Li

We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

Optimization and Control · Mathematics 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

Monte Carlo Tree Search (MCTS) is particularly adapted to domains where the potential actions can be represented as a tree of sequential decisions. For an effective action selection, MCTS performs many simulations to build a reliable tree…

Artificial Intelligence · Computer Science 2018-09-10 Seydou Ba , Takuya Hiraoka , Takashi Onishi , Toru Nakata , Yoshimasa Tsuruoka

Mixed Integer Programming (MIP) has been extensively applied in areas requiring mathematical solvers to address complex instances within tight time constraints. However, as the problem scale increases, the complexity of model formulation…

Computation and Language · Computer Science 2024-09-19 Teng Wang , Wing-Yin Yu , Ruifeng She , Wenhan Yang , Taijie Chen , Jianping Zhang

Monte Carlo Tree Search (MCTS), most famously used in game-play artificial intelligence (e.g., the game of Go), is a well-known strategy for constructing approximate solutions to sequential decision problems. Its primary innovation is the…

Optimization and Control · Mathematics 2017-04-21 Daniel R. Jiang , Lina Al-Kanj , Warren B. Powell

We present a new algorithm, Fractional Decomposition Tree (FDT) for finding a feasible solution for an integer program (IP) where all variables are binary. FDT runs in polynomial time and is guaranteed to find a feasible integer solution…

Discrete Mathematics · Computer Science 2020-08-12 Robert D. Carr , Arash Haddadan , Cynthia A. Phillips

Machine learning backdoors have the property that the machine learning model should work as expected on normal inputs, but when the input contains a specific $\textit{trigger}$, it behaves as the attacker desires. Detecting such triggers…

Cryptography and Security · Computer Science 2026-03-12 Eirik Høyheim , Magnus Wiik Eckhoff , Gudmund Grov , Robert Flood , David Aspinall

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

Artificial Intelligence · Computer Science 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

Monte Carlo Tree Search (MCTS) has shown its strength for a lot of deterministic and stochastic examples, but literature lacks reports of applications to real world industrial processes. Common reasons for this are that there is no…

Artificial Intelligence · Computer Science 2021-08-05 Dorina Weichert , Felix Horchler , Alexander Kister , Marcus Trost , Johannes Hartung , Stefan Risse

Monte Carlo Tree Search (MCTS) has improved the performance of game engines in domains such as Go, Hex, and general game playing. MCTS has been shown to outperform classic alpha-beta search in games where good heuristic evaluations are…

Artificial Intelligence · Computer Science 2014-06-23 Marc Lanctot , Mark H. M. Winands , Tom Pepels , Nathan R. Sturtevant

It is common practice to use large computational resources to train neural networks, as is known from many examples, such as reinforcement learning applications. However, while massively parallel computing is often used for training models,…

Artificial Intelligence · Computer Science 2021-04-07 Xiufeng Yang , Tanuj Kr Aasawat , Kazuki Yoshizoe

In this paper, we design $MC^2$ algorithms for Mixed Integer and Linear Programming. By expressing a constrained optimisation as one of simulation from a Boltzmann distribution, we reformulate integer and linear programming as Monte Carlo…

Computation · Statistics 2025-11-26 Nick Polson , Vadim Sokolov

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

Optimization and Control · Mathematics 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

One weakness of Monte Carlo Tree Search (MCTS) is its sample efficiency which can be addressed by building and using state and/or action abstractions in parallel to the tree search such that information can be shared among nodes of the same…

Artificial Intelligence · Computer Science 2025-10-29 Robin Schmöcker , Alexander Dockhorn , Bodo Rosenhahn

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

This paper deals with the maximum independent set (M.I.S.) problem, also known as the stable set problem. The basic mathematical programming model that captures this problem is an Integer Program (I.P.) with zero-one variables $x_j$ and…

Data Structures and Algorithms · Computer Science 2023-12-21 Prabhu Manyem
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