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Score-based algorithms that learn Bayesian Network (BN) structures provide solutions ranging from different levels of approximate learning to exact learning. Approximate solutions exist because exact learning is generally not applicable to…

人工智能 · 计算机科学 2020-12-02 Zhigao Guo , Anthony C. Constantinou

A tree-packing is a collection of spanning trees of a graph. It has been a useful tool for computing the minimum cut in static, dynamic, and distributed settings. In particular, [Thorup, Comb. 2007] used them to obtain his dynamic min-cut…

数据结构与算法 · 计算机科学 2024-12-05 Tijn de Vos , Aleksander B. G. Christiansen

{\em Reoptimization} is a setting in which we are given an (near) optimal solution of a problem instance and a local modification that slightly changes the instance. The main goal is that of finding an (near) optimal solution of the…

数据结构与算法 · 计算机科学 2018-05-01 Davide Bilò

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

数据结构与算法 · 计算机科学 2021-07-06 Klaus Jansen , Malin Rau

The tree edit distance problem is a natural generalization of the classic string edit distance problem. Given two ordered, edge-labeled trees $T_1$ and $T_2$, the edit distance between $T_1$ and $T_2$ is defined as the minimum total cost of…

数据结构与算法 · 计算机科学 2023-09-13 Krzysztof Pióro

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…

数据结构与算法 · 计算机科学 2020-01-07 Juho Lauri , Sourav Dutta , Marco Grassia , Deepak Ajwani

The problem of constructing optimal factoring automata arises in the context of unification factoring for the efficient execution of logic programs. Given an ordered set of $n$ strings of length $m$, the problem is to construct a trie-like…

数据结构与算法 · 计算机科学 2024-04-04 Thomas Erlebach , Kleitos Papadopoulos

Node overlap removal is a necessary step in many scenarios including laying out a graph, or visualizing a tag cloud. Our contribution is a new overlap removal algorithm that iteratively builds a Minimum Spanning Tree on a Delaunay…

计算几何 · 计算机科学 2016-08-15 Lev Nachmanson , Arlind Nocaj , Sergey Bereg , Leishi Zhang , Alexander Holroyd

Structured pruning is an effective approach for compressing large pre-trained neural networks without significantly affecting their performance. However, most current structured pruning methods do not provide any performance guarantees, and…

机器学习 · 计算机科学 2023-02-14 Marwa El Halabi , Suraj Srinivas , Simon Lacoste-Julien

In 1996, Bodlaender showed the celebrated result that an optimal tree decomposition of a graph of bounded treewidth can be found in linear time. The algorithm is based on an algorithm of Bodlaender and Kloks that computes an optimal tree…

数据结构与算法 · 计算机科学 2020-03-19 Ernst Althaus , Sarah Ziegler

Recently, we presented a new Two-Bar Charts Packing Problem (2-BCPP), in which it is necessary to pack two-bar charts (2-BCs) in a unit-height strip of minimum length. The problem is a generalization of the Bin Packing Problem and 2-D…

计算几何 · 计算机科学 2021-01-05 Adil Erzin , Vladimir Shenmaier

Let $P$ and $S$ be two disjoint sets of $n$ and $m$ points in the plane, respectively. We consider the problem of computing a Steiner tree whose Steiner vertices belong to $S$, in which each point of $P$ is a leaf, and whose longest edge…

计算几何 · 计算机科学 2013-05-02 Ahmad Biniaz , Anil Maheshwari , Michiel Smid

An upward drawing of a tree is a drawing such that no parents are below their children. It is order-preserving if the edges to children appear in prescribed order around each node. Chan showed that any tree has an upward order-preserving…

计算几何 · 计算机科学 2015-11-05 Therese Biedl

Bilevel optimization has recently attracted growing interests due to its wide applications in modern machine learning problems. Although recent studies have characterized the convergence rate for several such popular algorithms, it is still…

机器学习 · 计算机科学 2022-02-01 Kaiyi Ji , Yingbin Liang

In the Two-Bar Charts Packing Problem (2-BCPP), it is required to pack the bar charts (BCs) consisting of two bars into the horizontal unit-height strip of minimal length. The bars may move vertically within the strip, but it is forbidden…

离散数学 · 计算机科学 2021-06-23 Adil Erzin , Georgii Melidi , Stepan Nazarenko , Roman Plotnikov

[libralesso_anytime_2020] proposed an anytime tree search algorithm for the 2018 ROADEF/EURO challenge glass cutting problem (https://www.roadef.org/challenge/2018/en/index.php). The resulting program was ranked first among 64 participants.…

人工智能 · 计算机科学 2020-04-21 Florian Fontan , Luc Libralesso

We present a novel algorithm for the minimum-depth elimination tree problem, which is equivalent to the optimal treedepth decomposition problem. Our algorithm makes use of two cheaply-computed lower bound functions to prune the search tree,…

离散数学 · 计算机科学 2020-06-18 James Trimble

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

数据结构与算法 · 计算机科学 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Bilevel optimization has found extensive applications in modern machine learning problems such as hyperparameter optimization, neural architecture search, meta-learning, etc. While bilevel problems with a unique inner minimal point (e.g.,…

最优化与控制 · 数学 2022-06-09 Daouda Sow , Kaiyi Ji , Ziwei Guan , Yingbin Liang

Online algorithms are usually analyzed using the notion of competitive ratio which compares the solution obtained by the algorithm to that obtained by an online adversary for the worst possible input sequence. Often this measure turns out…

数据结构与算法 · 计算机科学 2014-10-08 Anamitra Roy Choudhury , Syamantak Das , Naveen Garg , Amit Kumar