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We study the multi-level Steiner tree problem: a generalization of the Steiner tree problem in graphs where terminals $T$ require varying priority, level, or quality of service. In this problem, we seek to find a minimum cost tree…

数据结构与算法 · 计算机科学 2020-05-18 Reyan Ahmed , Faryad Darabi Sahneh , Keaton Hamm , Stephen Kobourov , Richard Spence

We initiate the study of a natural and practically relevant new variant of online caching where the to-be-cached items can have dependencies. We assume that the universe is a tree T and items are tree nodes; we require that if a node v is…

数据结构与算法 · 计算机科学 2017-05-16 Marcin Bienkowski , Jan Marcinkowski , Maciej Pacut , Stefan Schmid , Aleksandra Spyra

We present a new exact algorithm for the Steiner tree problem in edge-weighted graphs. Our algorithm improves the classical dynamic programming approach by Dreyfus and Wagner. We achieve a significantly better practical performance via…

数据结构与算法 · 计算机科学 2015-09-09 Stefan Hougardy , Jannik Silvanus , Jens Vygen

Background. The supertree problem, i.e., the task of finding a common refinement of a set of rooted trees is an important topic in mathematical phylogenetics. The special case of a common leaf set $L$ is known to be solvable in linear time.…

数据结构与算法 · 计算机科学 2021-09-27 David Schaller , Marc Hellmuth , Peter F. Stadler

The lifted dynamic junction tree algorithm (LDJT) efficiently answers filtering and prediction queries for probabilistic relational temporal models by building and then reusing a first-order cluster representation of a knowledge base for…

人工智能 · 计算机科学 2018-07-03 Marcel Gehrke , Tanya Braun , Ralf Möller

Level Set Estimation (LSE) is an important problem with applications in various fields such as material design, biotechnology, machine operational testing, etc. Existing techniques suffer from the scalability issue, that is, these methods…

机器学习 · 统计学 2020-12-21 Huong Ha , Sunil Gupta , Santu Rana , Svetha Venkatesh

Computing high quality node separators in large graphs is necessary for a variety of applications, ranging from divide-and-conquer algorithms to VLSI design. In this work, we present a novel distributed evolutionary algorithm tackling the…

神经与进化计算 · 计算机科学 2017-02-07 Peter Sanders , Christian Schulz , Darren Strash , Robert Williger

Many interesting computational problems can be reformulated in terms of decision trees. A natural classical algorithm is to then run a random walk on the tree, starting at the root, to see if the tree contains a node n levels from the root.…

量子物理 · 物理学 2009-10-30 Edward Farhi , Sam Gutmann

In this paper we study the Steiner tree problem over a dynamic set of terminals. We consider the model where we are given an $n$-vertex graph $G=(V,E,w)$ with positive real edge weights, and our goal is to maintain a tree which is a good…

数据结构与算法 · 计算机科学 2016-06-27 Jakub Łącki , Jakub Oćwieja , Marcin Pilipczuk , Piotr Sankowski , Anna Zych

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

机器学习 · 统计学 2014-10-14 Talayeh Razzaghi , Ilya Safro

Stochastic differential equations, especially the one called Langevin equation, play an important role in many fields of modern science. In this paper, we use the bicolour rooted tree method, which is based on the stochastic Taylor…

计算物理 · 物理学 2015-06-11 Jiabin You , Hong Zhao

In this work, we propose a multi-stage training strategy for the development of deep learning algorithms applied to problems with multiscale features. Each stage of the pro-posed strategy shares an (almost) identical network structure and…

数值分析 · 数学 2020-09-25 Eric Chung , Wing Tat Leung , Sai-Mang Pun , Zecheng Zhang

In this paper, we consider the multi-level aggregation problem with deadlines (MLAPD) previously studied by Bienkowski et al. (2015), Buchbinder et al. (2017), and Azar and Touitou (2019). This is an online problem where the algorithm…

数据结构与算法 · 计算机科学 2021-08-11 Jeremy McMahan

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I…

数据结构与算法 · 计算机科学 2009-03-21 Mugurel Ionut Andreica

Decision Tree (DT) Learning is a fundamental problem in Interpretable Machine Learning, yet it poses a formidable optimisation challenge. Practical algorithms have recently emerged, primarily leveraging Dynamic Programming and Branch &…

机器学习 · 计算机科学 2025-05-13 Ayman Chaouki , Jesse Read , Albert Bifet

Surrogate-assisted evolutionary algorithms have been widely developed to solve complex and computationally expensive multi-objective optimization problems in recent years. However, when dealing with high-dimensional optimization problems,…

神经与进化计算 · 计算机科学 2024-03-19 Guodong Chen , Jiu Jimmy Jiao , Xiaoming Xue , Zhongzheng Wang

In phylogenetics, a central problem is to infer the evolutionary relationships between a set of species $X$; these relationships are often depicted via a phylogenetic tree -- a tree having its leaves univocally labeled by elements of $X$…

数据结构与算法 · 计算机科学 2016-04-12 Julien Baste , Christophe Paul , Ignasi Sau , Celine Scornavacca

Semi-labeled trees are phylogenies whose internal nodes may be labeled by higher-order taxa. Thus, a leaf labeled Mus musculus could nest within a subtree whose root node is labeled Rodentia, which itself could nest within a subtree whose…

数据结构与算法 · 计算机科学 2016-05-09 Yun Deng , David Fernández-Baca

An ancestry labeling scheme assigns labels (bit strings) to the nodes of rooted trees such that ancestry queries between any two nodes in a tree can be answered merely by looking at their corresponding labels. The quality of an ancestry…

数据结构与算法 · 计算机科学 2009-09-16 Pierre Fraigniaud , Amos Korman

We consider algorithmic approaches to the D-optimality problem for cases where the input design matrix is large and highly structured, in particular implicitly specified as a full quadratic or linear response-surface model in several levels…

最优化与控制 · 数学 2023-09-11 Gabriel Ponte , Marcia Fampa , Jon Lee