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Small depth networks arise in a variety of network related applications, often in the form of maximum flow and maximum weighted matching. Recent works have generalized such methods to include costs arising from concave functions. In this…

Data Structures and Algorithms · Computer Science 2017-04-26 Tung Mai , Richard Peng , Anup B. Rao , Vijay V. Vazirani

Most networks encountered in nature, society, and technology have weighted edges, representing the strength of the interaction/association between their vertices. Randomizing the structure of a network is a classic procedure used to…

Physics and Society · Physics 2025-10-29 Filipi N. Silva , Sadamori Kojaku , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

The structure of the International Trade Network (ITN), whose nodes and links represent world countries and their trade relations respectively, affects key economic processes worldwide, including globalization, economic integration,…

Physics and Society · Physics 2024-09-21 Assaf Almog , Rhys Bird , Diego Garlaschelli

Convolutional Neural Networks (CNNs) are hard to deploy on edge devices due to its high computation and storage complexities. As a common practice for model compression, network pruning consists of two major categories: unstructured and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Yuchuan Tian , Hanting Chen , Tianyu Guo , Chao Xu , Yunhe Wang

Recent works have highlighted scale invariance or symmetry present in the weight space of a typical deep network and the adverse effect it has on the Euclidean gradient based stochastic gradient descent optimization. In this work, we show…

Machine Learning · Computer Science 2015-11-04 Vijay Badrinarayanan , Bamdev Mishra , Roberto Cipolla

Large scale graph processing using distributed computing frameworks is becoming pervasive and efficient in the industry. In this work, we present a highly scalable and configurable distributed algorithm for building connected components,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Saigopal Thota , Mridul Jain , Nishad Kamat , Saikiran Malikireddy , Pruthvi Raj Eranti , Albin Kuruvilla

We study the problem of finding a spanning forest in an undirected, $n$-vertex multi-graph under two basic query models. One is the Linear query model which are linear measurements on the incidence vector induced by the edges; the other is…

Data Structures and Algorithms · Computer Science 2021-07-02 Sepehr Assadi , Deeparnab Chakrabarty , Sanjeev Khanna

We apply the network Lasso to solve binary classification and clustering problems for network-structured data. To this end, we generalize ordinary logistic regression to non-Euclidean data with an intrinsic network structure. The resulting…

Machine Learning · Computer Science 2018-08-15 Henrik Ambos , Nguyen Tran , Alexander Jung

Text-based financial networks are increasingly used to study cross-stock return predictability. A common approach constructs links from similarities in firms' disclosure embeddings, but such networks often contain spurious edges because…

Portfolio Management · Quantitative Finance 2026-04-28 Yikuan Huang , Zheqi Fan , Kaiqi Hu , Yifan Ye

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

We describe approximation algorithms in Linial's classic LOCAL model of distributed computing to find maximum-weight matchings in a hypergraph of rank $r$. Our main result is a deterministic algorithm to generate a matching which is an…

Data Structures and Algorithms · Computer Science 2023-10-13 David G. Harris

We study the maximum weight matching problem in the random-order semi-streaming model and in the robust communication model. Unlike many other sublinear models, in these two frameworks, there is a large gap between the guarantees of the…

Data Structures and Algorithms · Computer Science 2024-08-29 Diba Hashemi , Weronika Wrzos-Kaminska

The structure of many financial networks is protected by privacy and has to be inferred from aggregate observables. Here we consider one of the most successful network reconstruction methods, producing random graphs with desired link…

Physics and Society · Physics 2024-03-21 Andrea Gabrielli , Valentina Macchiati , Diego Garlaschelli

We study the correlation structure of firm growth rates. We show that most firms are correlated because of their exposure to a common factor but that firms linked through the supply chain exhibit a stronger correlation on average than firms…

Statistical Finance · Quantitative Finance 2023-07-04 Luca Mungo , José Moran

Networks are characterized by structural features, such as degree distribution, triangular closures, and assortativity. This paper addresses the problem of reconstructing instances of continuously (and non-negatively) weighted networks from…

Physics and Society · Physics 2024-12-09 Christian Franssen , Joost Berkhout , Bernd Heidergott

Based on the binary time series data of social infection dynamics, we propose a general framework to reconstruct 2-simplex complexes with two-body and three-body interactions by combining the maximum likelihood estimation in statistical…

Physics and Society · Physics 2023-07-25 Kaiwei Liu , Xing Lv , Fei Gao , Jiang Zhang

We address the issue of recovering the structure of large sparse directed acyclic graphs from noisy observations of the system. We propose a novel procedure based on a specific formulation of the l1-norm regularized maximum likelihood,…

Statistics Theory · Mathematics 2017-10-09 Magali Champion , Victor Picheny , Matthieu Vignes

We study robust and efficient distributed algorithms for building and maintaining distributed data structures in dynamic Peer-to-Peer (P2P) networks. P2P networks are characterized by a high level of dynamicity with abrupt heavy node…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 John Augustine , Antonio Cruciani , Iqra Altaf Gillani

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

Statistical Mechanics · Physics 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

Probability · Mathematics 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega