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The matrices of spanning rooted forests are studied as a tool for analysing the structure of networks and measuring their properties. The problems of revealing the basic bicomponents, measuring vertex proximity, and ranking from preference…

Combinatorics · Mathematics 2013-05-29 Pavel Chebotarev , Rafig Agaev

Model-based methods for recommender systems have been studied extensively in recent years. In systems with large corpus, however, the calculation cost for the learnt model to predict all user-item preferences is tremendous, which makes full…

Machine Learning · Statistics 2018-12-24 Han Zhu , Xiang Li , Pengye Zhang , Guozheng Li , Jie He , Han Li , Kun Gai

This paper presents a new approach for trees-based regression, such as simple regression tree, random forest and gradient boosting, in settings involving correlated data. We show the problems that arise when implementing standard…

Methodology · Statistics 2021-08-09 Assaf Rabinowicz , Saharon Rosset

Computing time is becoming a key issue for tracking algorithms both online and off-line. Programming using adequate data structures can largely improve the efficiency of the reconstruction in terms of time response. We propose using one…

We consider the following generalization of the classic Binary Search Problem: a searcher is required to find a hidden target vertex $x$ in a graph $G$, by iteratively performing queries about vertices. A query to $v$ incurs a cost $c(v,…

Data Structures and Algorithms · Computer Science 2026-03-19 Michał Szyfelbein

A tremendous range of design tasks in materials, physics, and biology can be formulated as finding the optimum of an objective function depending on many parameters without knowing its closed-form expression or the derivative. Traditional…

Machine Learning · Computer Science 2024-04-08 Ye Wei , Bo Peng , Ruiwen Xie , Yangtao Chen , Yu Qin , Peng Wen , Stefan Bauer , Po-Yen Tung

The Fenwick tree is a classical implicit data structure that stores an array in such a way that modifying an element, accessing an element, computing a prefix sum and performing a predecessor search on prefix sums all take logarithmic time.…

Data Structures and Algorithms · Computer Science 2019-10-15 Stefano Marchini , Sebastiano Vigna

The multi-modal nature of many vision problems calls for neural network architectures that can perform multiple tasks concurrently. Typically, such architectures have been handcrafted in the literature. However, given the size and…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 David Bruggemann , Menelaos Kanakis , Stamatios Georgoulis , Luc Van Gool

We present a general transformation for combining a constant number of binary search tree data structures (BSTs) into a single BST whose running time is within a constant factor of the minimum of any "well-behaved" bound on the running time…

Data Structures and Algorithms · Computer Science 2013-04-30 Erik D. Demaine , John Iacono , Stefan Langerman , Özgür Özkan

This paper proposes an online tree-based Bayesian approach for reinforcement learning. For inference, we employ a generalised context tree model. This defines a distribution on multivariate Gaussian piecewise-linear models, which can be…

Machine Learning · Statistics 2014-05-05 Nikolaos Tziortziotis , Christos Dimitrakakis , Konstantinos Blekas

We introduce inference trees (ITs), a new class of inference methods that build on ideas from Monte Carlo tree search to perform adaptive sampling in a manner that balances exploration with exploitation, ensures consistency, and alleviates…

Reverse search is a convenient method for enumerating structured objects, that can be used both to address theoretical issues and to solve data mining problems. This method has already been successfully developed to handle unordered trees.…

Discrete Mathematics · Computer Science 2022-05-13 Florian Ingels , Romain Azaïs

Efficient Neural Architecture Search methods based on weight sharing have shown good promise in democratizing Neural Architecture Search for computer vision models. There is, however, an ongoing debate whether these efficient methods are…

Machine Learning · Computer Science 2020-08-17 Gabriel Bender , Hanxiao Liu , Bo Chen , Grace Chu , Shuyang Cheng , Pieter-Jan Kindermans , Quoc Le

Deep neural networks (DNNs) and decision trees (DTs) are both state-of-the-art classifiers. DNNs perform well due to their representational learning capabilities, while DTs are computationally efficient as they perform inference along one…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Noam Gottlieb , Michael Werman

Identifying causal structure is central to many fields ranging from strategic decision-making to biology and economics. In this work, we propose CD-UCT, a model-based reinforcement learning method for causal discovery based on tree search…

Machine Learning · Computer Science 2024-02-14 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Although many algorithms have been designed to construct Bayesian network structures using different approaches and principles, they all employ only two methods: those based on independence criteria, and those based on a scoring function…

Artificial Intelligence · Computer Science 2011-07-04 S. Acid , L. M. de Campos

Consider observation data, comprised of n observation vectors with values on a set of attributes. This gives us n points in attribute space. Having data structured as a tree, implied by having our observations embedded in an ultrametric…

Information Retrieval · Computer Science 2012-02-17 Fionn Murtagh , Pedro Contreras

We study the design of efficient algorithms for combinatorial pattern matching. More concretely, we study algorithms for tree matching, string matching, and string matching in compressed texts.

Data Structures and Algorithms · Computer Science 2007-09-03 Philip Bille

We study the classic online bipartite matching problem with a twist: offline vertices, called resources, are $\textit{reusable}$. In particular, when a resource is matched to an online vertex it is unavailable for a deterministic time…

Data Structures and Algorithms · Computer Science 2022-10-25 Steven Delong , Alireza Farhadi , Rad Niazadeh , Balasubramanian Sivan , Rajan Udwani

In this paper we consider the problem of connected edge searching of weighted trees. It is shown that there exists a polynomial-time algorithm for finding optimal connected search strategy for bounded degree trees with arbitrary weights on…

Data Structures and Algorithms · Computer Science 2021-03-05 Dariusz Dereniowski