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Network datasets typically exhibit certain types of statistical dependencies, such as within-dyad correlation, row and column heterogeneity, and third-order dependence patterns such as transitivity and clustering. The first two of these can…

Methodology · Statistics 2018-07-24 Peter D. Hoff

The mean field algorithm is a widely used approximate inference algorithm for graphical models whose exact inference is intractable. In each iteration of mean field, the approximate marginals for each variable are updated by getting…

Machine Learning · Computer Science 2014-10-23 Yujia Li , Richard Zemel

This paper is about models for a vector of probabilities whose elements must have a multiplicative structure and sum to 1 at the same time; in certain applications, as basket analysis, these models may be seen as a constrained version of…

Statistics Theory · Mathematics 2018-04-17 Antonio Forcina

A feed-forward neural network has a remarkable property which allows the network itself to be a universal approximator for any functions.Here we present a universal, machine-learning based solver for multi-variable partial differential…

Disordered Systems and Neural Networks · Physics 2018-11-14 Qianshi Wei , Ying Jiang , Jeff Z. Y. Chen

We show that the error of iteratively magnitude-pruned networks empirically follows a scaling law with interpretable coefficients that depend on the architecture and task. We functionally approximate the error of the pruned networks,…

Machine Learning · Computer Science 2021-07-06 Jonathan S. Rosenfeld , Jonathan Frankle , Michael Carbin , Nir Shavit

Recurrent neural networks can learn complex transduction problems that require maintaining and actively exploiting a memory of their inputs. Such models traditionally consider memory and input-output functionalities indissolubly entangled.…

Machine Learning · Computer Science 2018-11-09 Davide Bacciu , Antonio Carta , Alessandro Sperduti

Deep learning based facial expression recognition (FER) has received a lot of attention in the past few years. Most of the existing deep learning based FER methods do not consider domain knowledge well, which thereby fail to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Yuedong Chen , Jianfeng Wang , Shikai Chen , Zhongchao Shi , Jianfei Cai

Complex networks have become powerful mechanisms for studying a variety of realworld systems. Consequently, many human-designed network models are proposed that reproduce nontrivial properties of complex networks, such as long-tail degree…

Social and Information Networks · Computer Science 2018-10-05 Niousha Attar , Sadegh Aliakbary

The approximation power of general feedforward neural networks with piecewise linear activation functions is investigated. First, lower bounds on the size of a network are established in terms of the approximation error and network depth…

Machine Learning · Computer Science 2018-07-02 Mohammad Mehrabi , Aslan Tchamkerten , Mansoor I. Yousefi

Iterative approximation methods using backpropagation enable the optimization of neural networks, but they remain computationally expensive, especially when used at scale. This paper presents an efficient alternative for optimizing neural…

Machine Learning · Computer Science 2023-11-14 Jake Ryland Williams , Haoran Zhao

Scaling the size of a model enhances its capabilities but significantly increases computation complexity. Mixture-of-Experts models (MoE) address the issue by allowing model size to scale up without substantially increasing training or…

Computation and Language · Computer Science 2024-08-30 Zhenpeng Su , Zijia Lin , Xue Bai , Xing Wu , Yizhe Xiong , Haoran Lian , Guangyuan Ma , Hui Chen , Guiguang Ding , Wei Zhou , Songlin Hu

Global variational approximation methods in graphical models allow efficient approximate inference of complex posterior distributions by using a simpler model. The choice of the approximating model determines a tradeoff between the…

Artificial Intelligence · Computer Science 2013-01-14 Tal El-Hay , Nir Friedman

Object segmentation requires both object-level information and low-level pixel data. This presents a challenge for feedforward networks: lower layers in convolutional nets capture rich spatial information, while upper layers encode…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Pedro O. Pinheiro , Tsung-Yi Lin , Ronan Collobert , Piotr Dollàr

A protein's function depends critically on its conformational ensemble, a collection of energy weighted structures whose balance depends on temperature and environment. Though recent deep learning (DL) methods have substantially advanced…

Biomolecules · Quantitative Biology 2026-01-09 Myeongsang Lee , Lauren L. Porter

Active materials take advantage of their internal sources of energy to self-organize in an automated manner. This feature provides a novel opportunity to design micron-scale machines with minimal required control. However, self-organization…

Soft Condensed Matter · Physics 2021-01-22 Zijie Qu , Jialong Jiang , Heun Jin Lee , Rob Phillips , Shahriar Shadkhoo , Matt Thomson

Deep neural networks are composed of layers of parametrised linear operations intertwined with non linear activations. In basic models, such as the multi-layer perceptron, a linear layer operates on a simple input vector embedding of the…

Machine Learning · Computer Science 2020-03-06 Jean-Marc Andreoli

Network pruning is one of the most dominant methods for reducing the heavy inference cost of deep neural networks. Existing methods often iteratively prune networks to attain high compression ratio without incurring significant loss in…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Duong H. Le , Trung-Nhan Vo , Nam Thoai

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows…

Disordered Systems and Neural Networks · Physics 2008-02-28 J. P. Bagrow , E. M. Bollt , J. D. Skufca , D. ben-Avraham

Although deep networks have recently emerged as the model of choice for many computer vision problems, in order to yield good results they often require time-consuming architecture search. To combat the complexity of design choices, prior…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Karim Ahmed , Lorenzo Torresani

Network motif provides a way to uncover the basic building blocks of most complex networks. This task usually demands high computer processing, specially for motif with 5 or more vertices. This paper presents an extended methodology with…

Data Structures and Algorithms · Computer Science 2018-04-27 Luis A. A. Meira , Vinícius R. Máximo , Alvaro L. Fazenda , Arlindo F. da Conceição