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This paper presents the input convex neural network architecture. These are scalar-valued (potentially deep) neural networks with constraints on the network parameters such that the output of the network is a convex function of (some of)…

Machine Learning · Computer Science 2017-06-15 Brandon Amos , Lei Xu , J. Zico Kolter

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

To understand the structure of a large-scale biological, social, or technological network, it can be helpful to decompose the network into smaller subunits or modules. In this article, we develop an information-theoretic foundation for the…

Physics and Society · Physics 2007-05-23 Martin Rosvall , Carl T. Bergstrom

Ubiquitous artificial intelligence (AI) is considered one of the key services in 6G systems. AI services typically rely on deep neural network (DNN) requiring heavy computation. Hence, in order to support ubiquitous AI, it is crucial to…

Networking and Internet Architecture · Computer Science 2022-07-27 Sehun Jung , Hyang-Won Lee

The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

Artificial Intelligence · Computer Science 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

By bridging deep networks and physics, the programme of geometrization of deep networks was proposed as a framework for the interpretability of deep learning systems. Following this programme we can apply two key ideas of physics, the…

Machine Learning · Computer Science 2019-07-16 X. Dong , L. Zhou

Generalized mutual entropy is defined for networks and applied for analysis of complex network structures. The method is tested for the case of computer simulated scale free networks, random networks, and their mixtures. The possible…

Disordered Systems and Neural Networks · Physics 2009-11-13 V. Gudkov , V. Montealegre

We design and analyze a new paradigm for building supervised learning networks, driven only by local optimization rules without relying on a global error function. Traditional neural networks with a fixed topology are made up of identical…

Adaptation and Self-Organizing Systems · Physics 2024-10-04 S. Barland , L. Gil

Nodes in networks may have one or more functions that determine their role in the system. As opposed to local proximity, which captures the local context of nodes, the role identity captures the functional "role" that nodes play in a…

Social and Information Networks · Computer Science 2021-11-18 Lili Wang , Chenghan Huang , Weicheng Ma , Ying Lu , Soroush Vosoughi

Complex networks datasets often come with the problem of missing information: interactions data that have not been measured or discovered, may be affected by errors, or are simply hidden because of privacy issues. This Element provides an…

Physics and Society · Physics 2021-08-11 Giulio Cimini , Rossana Mastrandrea , Tiziano Squartini

We propose the concept of open network as an arbitrary selection of nodes of a large unknown network. Using the hypothesis that information of the whole network structure can be extrapolated from an arbitrary set of its nodes, we use Renyi…

Disordered Systems and Neural Networks · Physics 2009-11-13 V. Gudkov , V. Montealegre

Uncertainty about models and data is ubiquitous in the computational social sciences, and it creates a need for robust social network algorithms, which can simultaneously provide guarantees across a spectrum of models and parameter…

Social and Information Networks · Computer Science 2016-06-13 Xinran He , David Kempe

This work explores maximum likelihood optimization of neural networks through hypernetworks. A hypernetwork initializes the weights of another network, which in turn can be employed for typical functional tasks such as regression and…

Machine Learning · Statistics 2018-01-15 Abdul-Saboor Sheikh , Kashif Rasul , Andreas Merentitis , Urs Bergmann

Topology inference is a powerful tool to better understand the behaviours of network systems (NSs). Different from most of prior works, this paper is dedicated to inferring the directed topology of NSs from noisy observations, where the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Qing Jiao , Yushan Li , Jianping He

Influence maximization is a widely used model for information dissemination in social networks. Recent work has employed such interventions across a wide range of social problems, spanning public health, substance abuse, and international…

Computer Science and Game Theory · Computer Science 2019-03-27 Alan Tsang , Bryan Wilder , Eric Rice , Milind Tambe , Yair Zick

The aim of this paper is a short survey of models and methods that developed by the authors. These models and methods are used to optimize general networks with nonlinear non-convex restrictions and objectives possessing mixed…

Optimization and Control · Mathematics 2019-11-12 Emmanuel M. Livshits , Leonid A. Ostromuhov

Researchers interested in statistically modeling network data have a well-established and quickly growing set of approaches from which to choose. Several of these methods have been regularly applied in research on political networks, while…

Applications · Statistics 2017-03-09 Bruce A. Desmarais , Skyler J. Cranmer

Representation learning of networks has witnessed significant progress in recent times. Such representations have been effectively used for classic network-based machine learning tasks like node classification, link prediction, and network…

Social and Information Networks · Computer Science 2018-12-07 Arunkumar Bagavathi , Siddharth Krishnan

Availability of labelled data is the major obstacle to the deployment of deep learning algorithms for computer vision tasks in new domains. The fact that many frameworks adopted to solve different tasks share the same architecture suggests…

Computer Vision and Pattern Recognition · Computer Science 2023-01-27 Pierluigi Zama Ramirez , Adriano Cardace , Luca De Luigi , Alessio Tonioni , Samuele Salti , Luigi Di Stefano

Existing models of network growth typically have one or two parameters or strategies which are fixed for all times. We introduce a general framework where feedback on the current state of a network is used to dynamically alter the values of…

Physics and Society · Physics 2009-01-07 Raissa M. D'Souza , Soumen Roy