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This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

We propose a dynamical process for network evolution, aiming at explaining the emergence of the small world phenomenon, i.e., the statistical observation that any pair of individuals are linked by a short chain of acquaintances computable…

Data Structures and Algorithms · Computer Science 2008-03-04 Augustin Chaintreau , Pierre Fraigniaud , Emmanuelle Lebhar

In this work, Transition Probability Matrix (TPM) is proposed as a new method for extracting the features of nodes in the graph. The proposed method uses random walks to capture the connectivity structure of a node's close neighborhood. The…

Machine Learning · Computer Science 2023-03-07 Sarmad N. Mohammed , Semra Gündüç

Modularity is designed to measure the strength of division of a network into clusters (known also as communities). Networks with high modularity have dense connections between the vertices within clusters but sparse connections between…

Probability · Mathematics 2017-07-18 Liudmila Ostroumova Prokhorenkova , Pawel Pralat , Andrei Raigorodskii

This article investigates emergence and complexity in complex systems that can share information on a network. To this end, we use a theoretical approach from information theory, computability theory, and complex networks. One key studied…

Information Theory · Computer Science 2019-03-20 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

A wide variety of complex networks (social, biological, information etc.) exhibit local clustering with substantial variation in the clustering coefficient (the probability of neighbors being connected). Existing models of large graphs…

Discrete Mathematics · Computer Science 2017-09-28 Samantha Petti , Santosh Vempala

Matching corresponding features between two images is a fundamental task to computer vision with numerous applications in object recognition, robotics, and 3D reconstruction. Current state of the art in image feature matching has focused on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Chen Zhao , Jiaqi Yang , Ke Xian , Zhiguo Cao , Xin Li

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

In online incremental learning, data continuously arrives with substantial distributional shifts, creating a significant challenge because previous samples have limited replay value when learning a new task. Prior research has typically…

Machine Learning · Computer Science 2026-04-17 Quyen Tran , Hai Nguyen , Hoang Phan , Quan Dao , Linh Ngo , Khoat Than , Dinh Phung , Dimitris Metaxas , Trung Le

We present a new problem called the incomplete Traveling Tournament problem, which introduces the well known Traveling Tournament Problem into the realm of incomplete round-robin tournaments. We focus on the case where teams can face each…

Optimization and Control · Mathematics 2026-03-23 Karel Devriesere , David Van Bulck , Dries Goossens

Deep networks realize complex mappings that are often understood by their locally linear behavior at or around points of interest. For example, we use the derivative of the mapping with respect to its inputs for sensitivity analysis, or to…

Machine Learning · Computer Science 2019-07-09 Guang-He Lee , David Alvarez-Melis , Tommi S. Jaakkola

An interval translation map (ITM) is a piece-wise translation $T \colon I \to I$ defined on a finite partition $I_1, \ldots, I_r$ of an interval $I$ into $r \ge 2$ subintervals. In contrast to classical interval exchange transformations…

Dynamical Systems · Mathematics 2026-05-06 Kostiantyn Drach , Leon Staresinic , Sebastian van Strien

Tournament solutions provide methods for selecting the "best" alternatives from a tournament and have found applications in a wide range of areas. Previous work has shown that several well-known tournament solutions almost never rule out…

Computer Science and Game Theory · Computer Science 2020-02-18 Christian Saile , Warut Suksompong

We present a model for the evolution of networks of occupied sites on undirected regular graphs. At every iteration step in a parallel update I randomly chosen empty sites are occupied and occupied sites having degree outside of a given…

Statistical Mechanics · Physics 2009-11-07 M. Brede , U. Behn

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

A set of analytical and computational tools based on transition path theory (TPT) is proposed to analyze flows in complex networks. Specifically, TPT is used to study the statistical properties of the reactive trajectories by which…

Statistical Mechanics · Physics 2015-06-18 Maria Cameron , Eric Vanden-Eijnden

In this work we present a model for evolving networks, where the driven force is related to the social affinity between individuals in a population. In the model, a set of individuals initially arranged on a regular ordered network and thus…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 B. Ruyu , M. N. Kuperman

Transferability estimation identifies the best pre-trained models for downstream tasks without incurring the high computational cost of full fine-tuning. This capability facilitates deployment and advances the pre-training and fine-tuning…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Yaoyan Zheng , Huiqun Wang , Nan Zhou , Di Huang

As an alternative view to the graph formation models in the statistical physics community, we introduce graph formation models using \textit{network formation} through selfish competition as an approach to modeling graphs with particular…

Optimization and Control · Mathematics 2015-03-13 Shaun Lichter , Christopher Griffin , Terry Friesz

A particularly successful role for Inductive Logic Programming (ILP) is as a tool for discovering useful relational features for subsequent use in a predictive model. Conceptually, the case for using ILP to construct relational features…

Machine Learning · Computer Science 2014-09-12 Haimonti Dutta , Ashwin Srinivasan