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Persistent Homology is a powerful tool in Topological Data Analysis (TDA) to capture topological properties of data succinctly at different spatial resolutions. For graphical data, shape, and structure of the neighborhood of individual data…

社会与信息网络 · 计算机科学 2018-11-12 Sumit Bhatia , Bapi Chatterjee , Deepak Nathani , Manohar Kaul

Link prediction is pervasively employed to uncover the missing links in the snapshots of real-world networks, which are usually obtained from kinds of sampling methods. Contrarily, in the previous literature, in order to evaluate the…

社会与信息网络 · 计算机科学 2014-10-28 Jichang Zhao , Xu Feng , Li Dong , Xiao Liang , Ke Xu

In this paper, we study a problem of detecting the source of diffused information by querying individuals, given a sample snapshot of the information diffusion graph, where two queries are asked: {\em (i)} whether the respondent is the…

社会与信息网络 · 计算机科学 2020-10-23 Jaeyoung Choi , Sangwoo Moon , Jiin Woo , Kyunghwan Son , Jinwoo Shin , Yung Yi

This paper investigates how Transformer language models (LMs) fine-tuned for acceptability classification capture linguistic features. Our approach uses the best practices of topological data analysis (TDA) in NLP: we construct directed…

计算与语言 · 计算机科学 2023-10-04 Irina Proskurina , Irina Piontkovskaya , Ekaterina Artemova

Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to coral reef resilience in ecology; therefore, quantifying these relationships is an important…

In recent decades, the emergence of social networks has enabled internet service providers (e.g., Facebook, Twitter and Uber) to achieve great commercial success. Link prediction is recognized as a common practice to build the topology of…

社会与信息网络 · 计算机科学 2022-12-14 Song Mei , Cong Zhen

Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

信号处理 · 电气工程与系统科学 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

State-of-the-art link prediction (LP) models demonstrate impressive benchmark results. However, popular benchmark datasets often assume that training, validation, and testing samples are representative of the overall dataset distribution.…

机器学习 · 计算机科学 2025-07-17 Jay Revolinsky , Harry Shomer , Jiliang Tang

Information of localization properties of eigenvectors of the complex network has applicability in many different areas which include networks centrality measures, spectral partitioning, development of approximation algorithms, and disease…

物理与社会 · 物理学 2021-09-29 Priodyuti Pradhan , Sarika Jalan

Localization of radio frequency sources over multipath channels is a difficult problem arising in applications such as outdoor or indoor gelocation. Common approaches that combine ad-hoc methods for multipath mitigation with indirect…

信息论 · 计算机科学 2015-05-14 Nil Garcia , Alexander M. Haimovich , Martial Coulon , Jason A. Dabin

Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data space and builds a network graph based on the data topology.…

机器学习 · 计算机科学 2019-04-08 Henri Riihimäki , Wojciech Chachólski , Jakob Theorell , Jan Hillert , Ryan Ramanujam

This paper tackles the problem of active planning to achieve cooperative localization for multi-robot systems (MRS) under measurement uncertainty in GNSS-limited scenarios. Specifically, we address the issue of accurately predicting the…

机器人学 · 计算机科学 2022-06-28 Liang Zhang , Zexu Zhang , Roland Siegwart , Jen Jen Chung

Data collected over networks can be modelled as noisy observations of an unknown function over the nodes of a graph or network structure, fully described by its nodes and their connections, the edges. In this context, function estimation…

统计方法学 · 统计学 2024-10-18 Dingjia Cao , Marina I. Knight , Guy P. Nason

Network topology inference is a prominent problem in Network Science. Most graph signal processing (GSP) efforts to date assume that the underlying network is known, and then analyze how the graph's algebraic and spectral characteristics…

信号处理 · 电气工程与系统科学 2019-05-22 Gonzalo Mateos , Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro

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…

机器学习 · 计算机科学 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

The study of irreducible higher-order interactions has become a core topic of study in complex systems. Two of the most well-developed frameworks, topological data analysis and multivariate information theory, aim to provide formal tools…

信息论 · 计算机科学 2025-04-15 Thomas F. Varley , Pedro A. M. Mediano , Alice Patania , Josh Bongard

Local Optima Networks (LONs) have been recently proposed as an alternative model of combinatorial fitness landscapes. The model compresses the information given by the whole search space into a smaller mathematical object that is the graph…

人工智能 · 计算机科学 2012-10-16 Fabio Daolio , Sébastien Verel , Gabriela Ochoa , Marco Tomassini

The algorithms-with-predictions framework has been used extensively to develop online algorithms with improved beyond-worst-case competitive ratios. Recently, there is growing interest in leveraging predictions for designing data structures…

数据结构与算法 · 计算机科学 2025-02-13 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Helia Niaparast , Shikha Singh

Particle Swarm Optimization is a global optimizer in the sense that it has the ability to escape poor local optima. However, if the spread of information within the population is not adequately performed, premature convergence may occur.…

神经与进化计算 · 计算机科学 2021-01-27 Mauro S. Innocente , Johann Sienz

Topological Data Analysis (TDA) is a novel, and relatively new approach to analysing high-dimensional data sets. It does this by focussing on global properties like the shape and connectivity of the data giving it a significant advantage…

天体物理仪器与方法 · 物理学 2019-04-26 Jeff Murugan , Duncan Robertson