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In this article we propose a heuristic algorithm to explore search space trees associated with instances of combinatorial optimization problems. The algorithm is based on Monte Carlo tree search, a popular algorithm in game playing that is…

人工智能 · 计算机科学 2022-11-17 Jorik Jooken , Pieter Leyman , Tony Wauters , Patrick De Causmaecker

The Subtree Isomorphism problem asks whether a given tree is contained in another given tree. The problem is of fundamental importance and has been studied since the 1960s. For some variants, e.g., ordered trees, near-linear time algorithms…

计算复杂性 · 计算机科学 2015-10-16 Amir Abboud , Arturs Backurs , Thomas Dueholm Hansen , Virginia Vassilevska Williams , Or Zamir

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

计算机视觉与模式识别 · 计算机科学 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

A double-arborescence is a treelike comparability graph with an all-adjacent vertex. In this paper, we first give a forbidden induced subgraph characterization of double-arborescences, where we prove that double-arborescences are precisely…

组合数学 · 数学 2024-12-24 Tithi Dwary , K. V. Krishna

Just as semantic hashing can accelerate information retrieval, binary valued embeddings can significantly reduce latency in the retrieval of graphical data. We introduce a simple but effective model for learning such binary vectors for…

机器学习 · 计算机科学 2018-03-28 Vinith Misra , Sumit Bhatia

Constructing a Depth First Search (DFS) tree is a fundamental graph problem, whose parallel complexity is still not settled. Reif showed parallel intractability of lex-first DFS. In contrast, randomized parallel algorithms (and more…

数据结构与算法 · 计算机科学 2025-10-09 Archit Chauhan , Samir Datta , M. Praveen

In this paper we give fast distributed graph algorithms for detecting and listing small subgraphs, and for computing or approximating the girth. Our algorithms improve upon the state of the art by polynomial factors, and for girth, we…

数据结构与算法 · 计算机科学 2021-01-20 Keren Censor-Hillel , Orr Fischer , Tzlil Gonen , François Le Gall , Dean Leitersdorf , Rotem Oshman

In this paper we recreate, and improve, the binary classification method for particles proposed in Roe et al. (2005) paper "Boosted decision trees as an alternative to artificial neural networks for particle identification". Such particles…

数据分析、统计与概率 · 物理学 2021-04-30 Denis Stanev , Riccardo Riva , Michele Umassi

We propose a new and strengthened Branch-and-Bound (BnB) algorithm for the maximum common (connected) induced subgraph problem based on two new operators, Long-Short Memory (LSM) and Leaf vertex Union Match (LUM). Given two graphs for which…

数据结构与算法 · 计算机科学 2022-01-19 Jianrong Zhou , Kun He , Jiongzhi Zheng , Chu-Min Li , Yanli Liu

In the classical binary search in a path the aim is to detect an unknown target by asking as few queries as possible, where each query reveals the direction to the target. This binary search algorithm has been recently extended by…

数据结构与算法 · 计算机科学 2018-08-20 Argyrios Deligkas , George B. Mertzios , Paul G. Spirakis

Inspired by distributed algorithms, we introduce a new class of finite graph automata that recognize precisely the graph languages definable in monadic second-order logic. For the cases of words and trees, it has been long known that the…

形式语言与自动机理论 · 计算机科学 2014-04-28 Fabian Reiter

New applications of data mining, such as in biology, bioinformatics, or sociology, are faced with large datasetsstructured as graphs. We introduce a novel class of tree-shapedpatterns called tree queries, and present algorithms for…

数据库 · 计算机科学 2010-08-17 Eveline Hoekx , Jan Van den Bussche

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

机器学习 · 计算机科学 2012-12-12 K. S. Sesh Kumar , Francis Bach

This paper proposes a new general technique for maximal subgraph enumeration which we call proximity search, whose aim is to design efficient enumeration algorithms for problems that could not be solved by existing frameworks. To support…

数据结构与算法 · 计算机科学 2021-08-19 Alessio Conte , Andrea Marino , Roberto Grossi , Takeaki Uno , Luca Versari

In low-dimensional topology, many important decision algorithms are based on normal surface enumeration, which is a form of vertex enumeration over a high-dimensional and highly degenerate polytope. Because this enumeration is subject to…

几何拓扑 · 数学 2013-02-18 Benjamin A. Burton , Melih Ozlen

An old idea in optimization theory says that since the gradient is a dual vector it may not be subtracted from the weights without first being mapped to the primal space where the weights reside. We take this idea seriously in this paper…

机器学习 · 计算机科学 2024-12-09 Jeremy Bernstein , Laker Newhouse

Bidimensionality Theory was introduced by [E.D. Demaine, F.V. Fomin, M.Hajiaghayi, and D.M. Thilikos. Subexponential parameterized algorithms on graphs of bounded genus and H-minor-free graphs, J. ACM, 52 (2005), pp.866--893] as a tool to…

数据结构与算法 · 计算机科学 2020-09-02 Fedor V. Fomin , Daniel Lokshtanov , Saket Saurabh , Dimitrios M. Thilikos

At SODA 2009, Demaine et al. presented a novel connection between binary search trees (BSTs) and subsets of points on the plane. This connection was independently discovered by Derryberry et al. As part of their results, Demaine et al.…

数据结构与算法 · 计算机科学 2011-05-02 Kyle Fox

The Steiner Forest problem, also known as the Generalized Steiner Tree problem, is a fundamental optimization problem on edge-weighted graphs where, given a set of vertex pairs, the goal is to select a minimum-cost subgraph such that each…

数据结构与算法 · 计算机科学 2025-04-16 Ali Ahmadi , Iman Gholami , MohammadTaghi Hajiaghayi , Peyman Jabbarzade , Mohammad Mahdavi

Combinatorial optimization lies at the core of many real-world problems. Especially since the rise of graph neural networks (GNNs), the deep learning community has been developing solvers that derive solutions to NP-hard problems by…

机器学习 · 计算机科学 2022-01-26 Maximilian Böther , Otto Kißig , Martin Taraz , Sarel Cohen , Karen Seidel , Tobias Friedrich