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A method is presented for the distributed computation of persistent homology, based on an extension of the generalized Mayer-Vietoris principle to filtered spaces. Cellular cosheaves and spectral sequences are used to compute global…

Algebraic Topology · Mathematics 2023-08-11 Iris H. R. Yoon , Robert Ghrist

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

Label spreading is a general technique for semi-supervised learning with point cloud or network data, which can be interpreted as a diffusion of labels on a graph. While there are many variants of label spreading, nearly all of them are…

Machine Learning · Computer Science 2020-06-09 Francesco Tudisco , Austin R. Benson , Konstantin Prokopchik

Hashing has emerged as a popular technique for large-scale similarity search. Most learning-based hashing methods generate compact yet correlated hash codes. However, this redundancy is storage-inefficient. Hence we propose a lossless…

Computer Vision and Pattern Recognition · Computer Science 2016-03-18 Honghai Yu , Pierre Moulin , Hong Wei Ng , Xiaoli Li

Heavy hitters and frequency measurements are fundamental in many networking applications such as load balancing, QoS, and network security. This paper considers a generalized sliding window model that supports frequency and heavy hitters…

Data Structures and Algorithms · Computer Science 2018-11-15 Ran Ben Basat , Roy Friedman , Rana Shahout

Fractal behavior and long-range dependence are widely observed in measurements and characterization of traffic flow in high-speed computer networks of different technologies and coverage levels. This paper presents the results obtained when…

Networking and Internet Architecture · Computer Science 2021-07-13 G. Millán , G. Lefranc , R. Osorio-Comparán , V. Lomas-Barrie

Robustness is a critical measure of the resilience of large networked systems, such as transportation and communication networks. Most prior works focus on the global robustness of a given graph at large, e.g., by measuring its overall…

Social and Information Networks · Computer Science 2015-01-09 Hau Chan , Shuchu Han , Leman Akoglu

The recurrent neural network and its variants have shown great success in processing sequences in recent years. However, this deep neural network has not aroused much attention in anomaly detection through predictively process monitoring.…

Machine Learning · Computer Science 2023-09-06 Jiaqi Qiu , Yu Lin , Inez Zwetsloot

Topological data analysis is becoming increasingly relevant to support the analysis of unstructured data sets. A common assumption in data analysis is that the data set is a sample---not necessarily a uniform one---of some high-dimensional…

Algebraic Topology · Mathematics 2021-01-20 Bastian Rieck , Markus Banagl , Filip Sadlo , Heike Leitte

Extended persistence is a technique from topological data analysis to obtain global multiscale topological information from a graph. This includes information about connected components and cycles that are captured by the so-called…

Machine Learning · Computer Science 2024-06-06 Simon Zhang , Soham Mukherjee , Tamal K. Dey

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

Physics and Society · Physics 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

Hardware acceleration in modern networks creates monitoring blind spots by offloading flows to a non-observable state, hindering real-time service degradation (SD) detection. To address this, we propose and formalize a novel inter-flow…

Networking and Internet Architecture · Computer Science 2025-09-16 Balint Bicski , Adrian Pekar

While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data. Measures for characterizing and monitoring structural properties, however, have not been…

Machine Learning · Computer Science 2019-09-30 Bastian Rieck , Matteo Togninalli , Christian Bock , Michael Moor , Max Horn , Thomas Gumbsch , Karsten Borgwardt

Ideally, by enabling multi-tenancy, network virtualization allows to improve resource utilization, while providing performance isolation: although the underlying resources are shared, the virtual network appears as a dedicated network to…

Networking and Internet Architecture · Computer Science 2017-05-01 Arsany Basta , Andreas Blenk , Wolfgang Kellerer , Stefan Schmid

Long lived topological features are distinguished from short lived ones (considered as topological noise) in simplicial complexes constructed from complex networks. A new topological invariant, persistent homology, is determined and…

Mathematical Physics · Physics 2009-11-13 Danijela Horak , Slobodan Maletic , Milan Rajkovic

We consider the problem of `discrete-time persistence', which deals with the zero-crossings of a continuous stochastic process, X(T), measured at discrete times, T = n(\Delta T). For a Gaussian Stationary Process the persistence (no…

Statistical Mechanics · Physics 2009-11-07 George C. M. A. Ehrhardt , Alan J. Bray , Satya N. Majumdar

In backbone networks carrying heavy traffic loads, unwanted and unusual end-to-end delay changes can happen, though possibly rarely. In order to understand and manage the network to potentially avoid such abrupt changes, it is crucial and…

Networking and Internet Architecture · Computer Science 2012-09-25 Atef Abdelkefi , Yaser Efthekhari , Yuming Jiang

Steel casting processes are vulnerable to financial losses due to slag flow contamination, making accurate slag flow condition detection essential. This study introduces a novel cross-domain diagnostic method using vibration data collected…

Machine Learning · Computer Science 2025-09-03 Mert Sehri , Ana Cardoso , Francisco de Assis Boldt , Patrick Dumond

Locality-sensitive hashing (LSH) is a fundamental technique for similarity search and similarity estimation in high-dimensional spaces. The basic idea is that similar objects should produce hash collisions with probability significantly…

Computational Geometry · Computer Science 2017-09-25 Joachim Gudmundsson , Rasmus Pagh
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