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Backtracking has been widely used for solving problems in artificial intelligence (AI), including constraint satisfaction problems and combinatorial optimization problems. Good branching heuristics can efficiently improve the performance of…

人工智能 · 计算机科学 2022-11-29 Congsong Zhang , Yong Gao , James Nastos

Markov Networks are widely used through out computer vision and machine learning. An important subclass are the Associative Markov Networks which are used in a wide variety of applications. For these networks a good approximate minimum cost…

人工智能 · 计算机科学 2012-03-19 Chris Russell , L'ubor Ladicky , Pushmeet Kohli , Philip H. S. Torr

Combinatorial optimization is widely applied in a number of areas nowadays. Unfortunately, many combinatorial optimization problems are NP-hard which usually means that they are unsolvable in practice. However, it is often unnecessary to…

数据结构与算法 · 计算机科学 2012-07-10 Daniel Karapetyan

This paper presents preliminary work on using deep neural networks to guide general-purpose heuristic algorithms for performing utilitarian combinatorial assignment. In more detail, we use deep learning in an attempt to produce heuristics…

人工智能 · 计算机科学 2021-07-02 Fredrik Präntare , Mattias Tiger , David Bergström , Herman Appelgren , Fredrik Heintz

The development of a satisfying and rigorous mathematical understanding of the performance of neural networks is a major challenge in artificial intelligence. Against this background, we study the expressive power of neural networks through…

机器学习 · 计算机科学 2024-07-12 Christoph Hertrich , Martin Skutella

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

分布式、并行与集群计算 · 计算机科学 2016-05-26 Gerhard Rauchecker , Guido Schryen

This paper investigates the optimal signal detection problem with a particular interest in large-scale multiple-input multiple-output (MIMO) systems. The problem is NP-hard and can be solved optimally by searching the shortest path on the…

机器学习 · 计算机科学 2022-03-22 Le He , Ke He , Lisheng Fan , Xianfu Lei , Arumugam Nallanathan , George K. Karagiannidis

Informed sampling-based planning algorithms exploit problem knowledge for better search performance. This knowledge is often expressed as heuristic estimates of solution cost and used to order the search. The practical improvement of this…

机器人学 · 计算机科学 2020-12-10 Marlin P. Strub , Jonathan D. Gammell

In this paper, we describe the hyper-parameter search problem in the field of machine learning and present a heuristic approach in an attempt to tackle it. In most learning algorithms, a set of hyper-parameters must be determined before…

机器学习 · 计算机科学 2020-01-14 Wei Hao Khoong

We explore unique considerations involved in fitting ML models to data with very high precision, as is often required for science applications. We empirically compare various function approximation methods and study how they scale with…

机器学习 · 计算机科学 2023-02-01 Eric J. Michaud , Ziming Liu , Max Tegmark

Path planning is typically considered in Artificial Intelligence as a graph searching problem and R* is state-of-the-art algorithm tailored to solve it. The algorithm decomposes given path finding task into the series of subtasks each of…

人工智能 · 计算机科学 2015-11-04 Konstantin Yakovlev , Egor Baskin , Ivan Hramoin

The aim of this thesis is to determine classes of NP relations for which random generation and approximate counting problems admit an efficient solution. Since efficient rank implies efficient random generation, we first investigate some…

计算复杂性 · 计算机科学 2010-12-15 Massimo Santini

Learning a well-informed heuristic function for hard task planning domains is an elusive problem. Although there are known neural network architectures to represent such heuristic knowledge, it is not obvious what concrete information is…

人工智能 · 计算机科学 2021-12-06 Leah Chrestien , Tomas Pevny , Antonin Komenda , Stefan Edelkamp

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

机器学习 · 计算机科学 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

Fastest-path queries between two points in a very large road map is an increasingly important primitive in modern transportation and navigation systems, thus very efficient computation of these paths is critical for system performance and…

数据结构与算法 · 计算机科学 2020-09-09 Renjie Chen , Craig Gotsman

Nowadays hybrid evolutionary algorithms, i.e, heuristic search algorithms combining several mutation operators some of which are meant to implement stochastically a well known technique designed for the specific problem in question while…

神经与进化计算 · 计算机科学 2014-04-23 Boris Mitavskiy , Jun He

We introduce a new heuristic for the A* algorithm that references a data structure significantly smaller than that of ALT. We characterize the behavior of this new heuristic based on a dual landmark configuration that leverages…

数据结构与算法 · 计算机科学 2016-03-04 Newton Campbell

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

系统与控制 · 电气工程与系统科学 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

The reliable fraction of information is an attractive score for quantifying (functional) dependencies in high-dimensional data. In this paper, we systematically explore the algorithmic implications of using this measure for optimization. We…

人工智能 · 计算机科学 2018-09-17 Panagiotis Mandros , Mario Boley , Jilles Vreeken

Besides training, mathematical optimization is also used in deep learning to model and solve formulations over trained neural networks for purposes such as verification, compression, and optimization with learned constraints. However,…

最优化与控制 · 数学 2024-01-30 Jiatai Tong , Junyang Cai , Thiago Serra