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Quantifying biomechanical properties of the human vasculature could deepen our understanding of cardiovascular diseases. Standard nonlinear regression in constitutive modeling requires considerable high-quality data and an explicit form of…

Machine Learning · Computer Science 2023-09-26 Minglang Yin , Zongren Zou , Enrui Zhang , Cristina Cavinato , Jay D. Humphrey , George Em Karniadakis

In this paper we devise a generative random network model with core-periphery properties whose core nodes act as sublinear dominators, that is, if the network has $n$ nodes, the core has size $o(n)$ and dominates the entire network. We show…

Social and Information Networks · Computer Science 2021-07-28 Marios Papachristou

Communities in networks are commonly considered as highly cohesive subgraphs which are well separated from the rest of the network. However, cohesion and separation often cannot be maximized at the same time, which is why a compromise is…

Social and Information Networks · Computer Science 2018-12-07 Frank Havemann , Jochen Gläser , Michael Heinz

A key topic in network science is the detection of intermediate or meso-scale structures. Community, core-periphery, disassortative and other partitions allow us to understand the organisation and function of large networks. In this work we…

Social and Information Networks · Computer Science 2024-07-16 Rudy Arthur

Achieving state-of-the-art results in face verification systems typically hinges on the availability of labeled face training data, a resource that often proves challenging to acquire in substantial quantities. In this research endeavor, we…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Enoch Solomon , Abraham Woubie , Eyael Solomon Emiru

Discovering a unique causal structure is difficult due to both inherent identifiability issues, and the consequences of finite data. As such, uncertainty over causal structures, such as those obtained from a Bayesian posterior, are often…

Machine Learning · Computer Science 2025-03-06 Anish Dhir , Matthew Ashman , James Requeima , Mark van der Wilk

Multilayer networks allow one to represent diverse and coupled connectivity patterns --- e.g., time-dependence, multiple subsystems, or both --- that arise in many applications and which are difficult or awkward to incorporate into standard…

Social and Information Networks · Computer Science 2020-05-06 Marya Bazzi , Lucas G. S. Jeub , Alex Arenas , Sam D. Howison , Mason A. Porter

Nanopore sensors detect the substructure of individual molecules from modulations in an ion current as molecules pass through them. In this work, we present the classification of features in the substructure as a case study to illustrate…

Biological Physics · Physics 2019-04-03 Niklas Ermann , Kaikai Chen , Ulrich F. Keyser

Recently, nonnegative matrix factorization (NMF) has been widely adopted for community detection, because of its better interpretability. However, the existing NMF-based methods have the following three problems: 1) they directly transform…

Machine Learning · Computer Science 2024-02-15 Yuecheng Li , Jialong Chen , Chuan Chen , Lei Yang , Zibin Zheng

We introduce a variational Bayesian neural network where the parameters are governed via a probability distribution on random matrices. Specifically, we employ a matrix variate Gaussian \cite{gupta1999matrix} parameter posterior…

Machine Learning · Statistics 2016-06-24 Christos Louizos , Max Welling

We propose a generative model for robust tensor factorization in the presence of both missing data and outliers. The objective is to explicitly infer the underlying low-CP-rank tensor capturing the global information and a sparse tensor…

Computer Vision and Pattern Recognition · Computer Science 2016-06-21 Qibin Zhao , Guoxu Zhou , Liqing Zhang , Andrzej Cichocki , Shun-ichi Amari

We propose a method that meta-learns a knowledge on matrix factorization from various matrices, and uses the knowledge for factorizing unseen matrices. The proposed method uses a neural network that takes a matrix as input, and generates…

Machine Learning · Statistics 2021-06-30 Tomoharu Iwata

In this paper, we present a novel non-parametric clustering technique. Our technique is based on the notion that each latent cluster is comprised of layers that surround its core, where the external layers, or border points, implicitly…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Hadar Averbuch-Elor , Nadav Bar , Daniel Cohen-Or

Matrix factorization techniques have been widely used as a method for collaborative filtering for recommender systems. In recent times, different variants of deep learning algorithms have been explored in this setting to improve the task of…

Machine Learning · Computer Science 2019-03-26 Vaibhav Krishna , Tian Guo , Nino Antulov-Fantulin

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

Computer Vision and Pattern Recognition · Computer Science 2014-05-28 Ivan Ivek

Variational Bayesian Inference is a popular methodology for approximating posterior distributions over Bayesian neural network weights. Recent work developing this class of methods has explored ever richer parameterizations of the…

This study relates the local property of node dominance to local and global properties of a network. Iterative removal of dominated nodes yields a distributed algorithm for computing a core-periphery decomposition of a social network, where…

Social and Information Networks · Computer Science 2015-09-25 Jennifer Gamble , Harish Chintakunta , Adam Wilkerson , Hamid Krim , Ananthram Swami

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

Matrix completion and robust principal component analysis have been widely used for the recovery of data suffering from missing entries or outliers. In many real-world applications however, the data is also time-varying, and the naive…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Charul , Uttkarsha Bhatt , Pravesh Biyani , Ketan Rajawat

Model-based Bayesian reinforcement learning has generated significant interest in the AI community as it provides an elegant solution to the optimal exploration-exploitation tradeoff in classical reinforcement learning. Unfortunately, the…

Artificial Intelligence · Computer Science 2012-06-18 Stephane Ross , Joelle Pineau
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