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An optimal binary search tree for an access sequence on elements is a static tree that minimizes the total search cost. Constructing perfectly optimal binary search trees is expensive so the most efficient algorithms construct almost…

Data Structures and Algorithms · Computer Science 2018-06-28 Mordecai Golin , John Iacono , Stefan Langerman , J. Ian Munro , Yakov Nekrich

Many algorithms have been proposed to predict missing links in a variety of real networks. These studies focus on mainly both accuracy and efficiency of these algorithms. However, little attention is paid to their robustness against either…

Physics and Society · Physics 2013-02-26 Liang Wang , Ke Hu , Yi Tang

The systems that statisticians are asked to assess, such as nuclear weapons, infrastructure networks, supercomputer codes and munitions, have become increasingly complex. It is often costly to conduct full system tests. As such, we present…

Methodology · Statistics 2009-09-29 Alyson G. Wilson , Todd L. Graves , Michael S. Hamada , C. Shane Reese

The main goal of this paper is to describe a data structure called binary join trees that are useful in computing multiple marginals efficiently using the Shenoy-Shafer architecture. We define binary join trees, describe their utility, and…

Artificial Intelligence · Computer Science 2013-02-18 Prakash P. Shenoy

In this paper, we address the scenario where nodes with sensor data are connected in a tree network, and every node wants to compute a given symmetric Boolean function of the sensor data. We first consider the problem of computing a…

Information Theory · Computer Science 2010-05-03 Hemant Kowshik , P. R. Kumar

Cognitive Radio Networks (CRNs) are considered as a promising solution to the spectrum shortage problem in wireless communication. In this paper, we initiate the first systematic study on the algorithmic complexity of the connectivity…

Data Structures and Algorithms · Computer Science 2013-01-08 Hongyu Liang , Tiancheng Lou , Haisheng Tan , Yuexuan Wang , Dongxiao Yu

It has been recognized that many complex dynamical systems in the real world require a description in terms of multiplex networks, where a set of common, mutually connected nodes belong to distinct network layers and play a different role…

Physics and Society · Physics 2019-12-23 Chuang Ma , Han-Shuang Chen , Xiang Li , Ying-Cheng Lai , Hai-Feng Zhang

Complex networks hosting binary-state dynamics arise in a variety of contexts. In spite of previous works, to fully reconstruct the network structure from observed binary data remains to be challenging. We articulate a statistical inference…

Physics and Society · Physics 2018-03-14 Chuang Ma , Han-Shuang Chen , Ying-Cheng Lai , Hai-Feng Zhang

Finding community structures in networks is important in network science, technology, and applications. To date, most algorithms that aim to find community structures only focus either on unipartite or bipartite networks. A unipartite…

Physics and Society · Physics 2014-09-16 Chang Chang , Chao Tang

We study learning-augmented binary search trees (BSTs) via Treaps with carefully designed priorities. The result is a simple search tree in which the depth of each item $x$ is determined by its predicted weight $w_x$. Specifically, each…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Xinyuan Cao , Alicia Stepin , Li Chen

Computing at the exascale level is expected to be affected by a significantly higher rate of faults, due to increased component counts as well as power considerations. Therefore, current day numerical algorithms need to be reexamined as to…

Numerical Analysis · Mathematics 2019-05-27 Mark Ainsworth , Christian Glusa

Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There is, however, a subtle difference between networks where weights are continuos…

Physics and Society · Physics 2013-12-06 Oleguer Sagarra , Conrad J. Pérez-Vicente , Albert Dïaz-Guilera

This paper studies the estimation of network weights for a class of systems with binary-valued observations. In these systems only quantized observations are available for the network estimation. Furthermore, system states are coupled with…

Systems and Control · Computer Science 2019-03-19 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

Backbone architectures of most binary networks are well-known floating point (FP) architectures such as the ResNet family. Questioning that the architectures designed for FP networks might not be the best for binary networks, we propose to…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Dahyun Kim , Kunal Pratap Singh , Jonghyun Choi

Robots have become increasingly prevalent in dynamic and crowded environments such as airports and shopping malls. In these scenarios, the critical challenges for robot navigation are reliability and timely arrival at predetermined…

Robotics · Computer Science 2023-09-21 Zhirui Sun , Boshu Lei , Peijia Xie , Fugang Liu , Junjie Gao , Ying Zhang , Jiankun Wang

Ensemble decision tree methods such as XGBoost, Random Forest, and Bayesian Additive Regression Trees (BART) have gained enormous popularity in data science for their superior performance in machine learning regression and classification…

Methodology · Statistics 2025-09-10 Shuren He , Huiyan Sang , Quan Zhou

A structural optimization scheme for a single-layer nonnegative adaptive tensor tree (NATT) that models a target probability distribution is proposed as an alternative paradigm for generative modeling. The NATT scheme, by construction,…

Machine Learning · Computer Science 2025-07-02 Katsuya O. Akamatsu , Kenji Harada , Tsuyoshi Okubo , Naoki Kawashima

Due to the increasing availability of large-scale observation and simulation datasets, data-driven representations arise as efficient and relevant computation representations of dynamical systems for a wide range of applications, where…

Machine Learning · Computer Science 2017-12-20 Ronan Fablet , Said Ouala , Cedric Herzet

This paper introduces a two-level robust approach to estimate the unknown states of a large-scale power system while the measurements and network parameters are subjected to uncertainties. The bounded data uncertainty (BDU) considered in…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Shiva Moshtagh , Mehdi Rahmani

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel