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This work addresses the problem of segmentation in time series data with respect to a statistical parameter of interest in Bayesian models. It is common to assume that the parameters are distinct within each segment. As such, many Bayesian…

Signal Processing · Electrical Eng. & Systems 2019-01-18 Alireza Ahrabian

Deciding if a graph is a Hamilton graph, also named the Hamilton cycle problem, is important for discrete mathematics and computer science. Due to no characterization to identify Hamilton graphs effectively, there are no tractable…

Discrete Mathematics · Computer Science 2020-11-17 Heping Jiang

Let H be a connected bipartite graph with n nodes and m edges. We give an O(nm) time algorithm to decide whether H is an interval bigraph. The best known algorithm has time complexity O(nm^6(m + n) \log n) and it was developed in 1997 [18].…

Data Structures and Algorithms · Computer Science 2018-05-22 Arash Rafiey

In this paper, we initiate the study of the dynamic maintenance of $2$-edge-connectivity relationships in directed graphs. We present an algorithm that can update the $2$-edge-connected blocks of a directed graph with $n$ vertices through a…

Data Structures and Algorithms · Computer Science 2016-07-26 Loukas Georgiadis , Giuseppe F. Italiano , Nikos Parotsidis

Dual decomposition provides a tractable framework for designing algorithms for finding the most probable (MAP) configuration in graphical models. However, for many real-world inference problems, the typical decomposition has a large…

Data Structures and Algorithms · Computer Science 2012-10-19 David Sontag , Do Kook Choe , Yitao Li

We present a memetic algorithm (\maa) approach for finding a Hamiltonian cycle in a Hamiltonian graph. The \ma is based on a proven approach to the Asymmetric Travelling Salesman Problem (\atspp) that, in this contribution, is boosted by…

Neural and Evolutionary Computing · Computer Science 2024-03-14 Sarwan Ali , Pablo Moscato

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

Machine Learning · Computer Science 2023-01-24 Nikolaj Tatti

Time series data occurs widely, and outlier detection is a fundamental problem in data mining, which has numerous applications. Existing autoencoder-based approaches deliver state-of-the-art performance on challenging real-world data but…

Machine Learning · Computer Science 2022-04-08 Tung Kieu , Bin Yang , Chenjuan Guo , Christian S. Jensen , Yan Zhao , Feiteng Huang , Kai Zheng

We revisit the algorithmic problem of finding a triangle in a graph (\textsc{Triangle Detection}), and examine its relation to other problems such as \textsc{3Sum}, \textsc{Independent Set}, and \textsc{Graph Coloring}. We obtain several…

Data Structures and Algorithms · Computer Science 2024-02-13 Adrian Dumitrescu

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

As a very popular multi-label classification method, Classifiers Chain has recently been widely applied to many multi-label classification tasks. However, existing Classifier Chains methods are difficult to model and exploit the underlying…

Artificial Intelligence · Computer Science 2022-04-14 Gao Pengfei , Lai Dedi , Zhao Lijiao , Liang Yue , Ma Yinglong

Let $G = (V,E,\ell)$ be a $n$-node $m$-edge weighted undirected graph, where $\ell: E \rightarrow (0,\infty)$ is a real \emph{length} function defined on its edges, and let $g$ denote the girth of $G$, i.e., the length of its shortest…

Data Structures and Algorithms · Computer Science 2025-07-21 Avi Kadria , Liam Roditty , Aaron Sidford , Virginia Vassilevska Williams , Uri Zwick

We study the application of the factor graph framework for symbol detection on linear inter-symbol interference channels. Cyclic factor graphs have the potential to yield low-complexity symbol detectors, but are suboptimal if the ubiquitous…

Information Theory · Computer Science 2022-08-30 Luca Schmid , Laurent Schmalen

We devise constant-factor approximation algorithms for finding as many disjoint cycles as possible from a certain family of cycles in a given planar or bounded-genus graph. Here disjoint can mean vertex-disjoint or edge-disjoint, and the…

Combinatorics · Mathematics 2023-02-06 Niklas Schlomberg , Hanjo Thiele , Jens Vygen

We present improved algorithms for short cycle decomposition of a graph. Short cycle decompositions were introduced in the recent work of Chu et al, and were used to make progress on several questions in graph sparsification. For all…

Data Structures and Algorithms · Computer Science 2019-01-15 Yang P. Liu , Sushant Sachdeva , Zejun Yu

For graph classification tasks, many traditional kernel methods focus on measuring the similarity between graphs. These methods have achieved great success on resolving graph isomorphism problems. However, in some classification problems,…

Machine Learning · Computer Science 2021-02-18 Jianming Huang , Hiroyuki Kasai

We present a general method for counting and packing Hamilton cycles in dense graphs and oriented graphs, based on permanent estimates. We utilize this approach to prove several extremal results. In particular, we show that every nearly…

Combinatorics · Mathematics 2015-11-13 Asaf Ferber , Michael Krivelevich , Benny Sudakov

Hierarchical classification problems are commonly seen in practice. However, most existing methods do not fully utilize the hierarchical information among class labels. In this paper, a novel label embedding approach is proposed, which…

Methodology · Statistics 2020-07-23 Yiwei Fan , Xiaoling Lu , Yufeng Liu , Junlong Zhao

Censor-Hillel et al. [PODC'15] recently showed how to efficiently implement centralized algebraic algorithms for matrix multiplication in the congested clique model, a model of distributed computing that has received increasing attention in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 François Le Gall

We study the problems of finding a minimum cycle basis (a minimum weight set of cycles that form a basis for the cycle space) and a minimum homology basis (a minimum weight set of cycles that generates the $1$-dimensional…

Data Structures and Algorithms · Computer Science 2016-07-19 Glencora Borradaile , Erin Wolf Chambers , Kyle Fox , Amir Nayyeri