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A rearrangement operation makes a small graph-theoretical change to a phylogenetic network to transform it into another one. For unrooted phylogenetic trees and networks, popular rearrangement operations are tree bisection and reconnection…

Combinatorics · Mathematics 2023-06-22 Jonathan Klawitter

We introduce \textbf{Kruskal-EDS} (\emph{Edge Dynamic Stratification}), a distribution-adaptive variant of Kruskal's minimum spanning tree (MST) algorithm that replaces the mandatory $\Theta(m\log m)$ global sort with a three-phase…

Data Structures and Algorithms · Computer Science 2026-03-03 Yves Mercadier

We study graph estimation and density estimation in high dimensions, using a family of density estimators based on forest structured undirected graphical models. For density estimation, we do not assume the true distribution corresponds to…

Machine Learning · Statistics 2010-10-21 Han Liu , Min Xu , Haijie Gu , Anupam Gupta , John Lafferty , Larry Wasserman

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

While several methods for predicting uncertainty on deep networks have been recently proposed, they do not readily translate to large and complex datasets. In this paper we utilize a simplified form of the Mixture Density Networks (MDNs) to…

Machine Learning · Computer Science 2019-12-05 Nicholas Wilkins , Michael Johnson , Ifeoma Nwogu

We review results on the scaling of the optimal path length in random networks with weighted links or nodes. In strong disorder we find that the length of the optimal path increases dramatically compared to the known small world result for…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. A. Braunstein , Z. Wu , Y. Chen , S. V. Buldyrev , S. Sreenivasan , T. Kalisky , R. Cohen , E. Lopez , S. Havlin , H. E. Stanley

Approximate variational inference has shown to be a powerful tool for modeling unknown complex probability distributions. Recent advances in the field allow us to learn probabilistic models of sequences that actively exploit spatial and…

Machine Learning · Statistics 2016-06-15 Maximilian Soelch , Justin Bayer , Marvin Ludersdorfer , Patrick van der Smagt

The geometric $\delta$-minimum spanning tree problem ($\delta$-MST) is the problem of finding a minimum spanning tree for a set of points in a normed vector space, such that no vertex in the tree has a degree which exceeds $\delta$, and the…

Computational Geometry · Computer Science 2019-01-28 Patrick J. Andersen , Charl J. Ras

We study the distributed minimum spanning tree (MST) problem, a fundamental problem in distributed computing. It is well-known that distributed MST can be solved in $\tilde{O}(D+\sqrt{n})$ rounds in the standard CONGEST model (where $n$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-20 John Augustine , William K. Moses , Gopal Pandurangan

Pseudo-measurements are the dominant source of uncertainty in distribution system state estimation (DSSE), yet their distributional assumptions are treated as fixed inputs by existing uncertainty quantification methods. This paper…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Betül Mamudi , Jochen Stiasny , Jochen Cremer

The last decade has witnessed the proliferation of network function virtualization (NFV) in the telco industry, thanks to its unparalleled flexibility, scalability, and cost-effectiveness. However, as the NFV infrastructure is shared by…

Networking and Internet Architecture · Computer Science 2025-07-08 Qiong Liu , Jianke Lin , Tianzhu Zhang , Leonardo Linguaglossa

The maximum mean discrepancy and Wasserstein distance are popular distance measures between distributions and play important roles in many machine learning problems such as metric learning, generative modeling, domain adaption, and…

Machine Learning · Computer Science 2025-01-22 Dong Qiao , Jicong Fan

Software-defined networking (SDN) is a new paradigm that allows developing more flexible network applications. SDN controller, which represents a centralized controlling point, is responsible for running various network applications as well…

Cryptography and Security · Computer Science 2019-05-09 Majd Latah , Levent Toker

Anomaly detection is the practice of identifying items or events that do not conform to an expected behavior or do not correlate with other items in a dataset. It has previously been applied to areas such as intrusion detection, system…

Networking and Internet Architecture · Computer Science 2018-01-31 James Zhang , Ilija Vukotic , Robert Gardner

We consider the sparse stochastic block model in the case where the degrees are uninformative. The case where the two communities have approximately the same size has been extensively studied and we concentrate here on the community…

Probability · Mathematics 2017-04-04 Francesco Caltagirone , Marc Lelarge , Léo Miolane

All kind of networks, e.g., Internet of Things, social networks, wireless sensor networks, transportation networks, 4g/5G, etc., are around us to benefit and help our daily life. The multistate flow network (MFN) is always used to model…

Discrete Mathematics · Computer Science 2021-07-30 Wei-Chang Yeh

Fraud detection is a challenging task due to the changing nature of fraud patterns over time and the limited availability of fraud examples to learn such sophisticated patterns. Thus, fraud detection with the aid of smart versions of…

Machine Learning · Computer Science 2022-09-07 Mary Isangediok , Kelum Gajamannage

The minimal spanning tree (MST) algorithm is a graph-theoretical cluster-finding method. We previously applied it to gamma-ray bidimensional images, showing that it is quite sensitive in finding faint sources. Possible sources are…

Instrumentation and Methods for Astrophysics · Physics 2013-08-06 R. Campana , E. Bernieri , E. Massaro , F. Tinebra , G. Tosti

Identifying important features linked to a response variable is a fundamental task in various scientific domains. This article explores statistical inference for simulated Markov random fields in high-dimensional settings. We introduce a…

Machine Learning · Statistics 2024-01-23 Haoyu Wei , Xiaoyu Lei , Yixin Han , Huiming Zhang

Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is sufficient or redundant, and points out the possible local…

Numerical Analysis · Mathematics 2019-05-15 Xin Xu , Xiaopeng Luo
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