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In this paper, we derive cumulant bounds for subgraph counts and power-weighted edge length in a class of spatial random networks known as weighted random connection models. This involves dealing with long-range spatial correlations induced…

Probability · Mathematics 2023-11-02 Nils Heerten , Christian Hirsch , Moritz Otto

In sentence modeling and classification, convolutional neural network approaches have recently achieved state-of-the-art results, but all such efforts process word vectors sequentially and neglect long-distance dependencies. To exploit both…

Computation and Language · Computer Science 2015-08-04 Mingbo Ma , Liang Huang , Bing Xiang , Bowen Zhou

Due to their flexibility and predictive performance, machine-learning based regression methods have become an important tool for predictive modeling and forecasting. However, most methods focus on estimating the conditional mean or specific…

Machine Learning · Statistics 2019-03-15 Rui Li , Howard D. Bondell , Brian J. Reich

In this paper, we show how convolutional neural networks (CNN) can be used in regression and classification learning problems of noisy and non-noisy functional data. The main idea is to transform the functional data into a 28 by 28 image.…

Machine Learning · Computer Science 2023-10-09 Jose Galarza , Tamer Oraby

Evolving networks are complex data structures that emerge in a wide range of systems in science and engineering. Learning expressive representations for such networks that encode their structural connectivity and temporal evolution is…

Machine Learning · Computer Science 2024-08-26 Amirhossein Nouranizadeh , Fatemeh Tabatabaei Far , Mohammad Rahmati

Ordinal regression (OR) is a special multiclass classification problem where an order relation exists among the labels. Recent years, people share their opinions and sentimental judgments conveniently with social networks and E-Commerce so…

Machine Learning · Computer Science 2018-12-21 Yong Shi , Huadong Wang , Xin Shen , Lingfeng Niu

In many supervised learning tasks, the entities to be labeled are related to each other in complex ways and their labels are not independent. For example, in hypertext classification, the labels of linked pages are highly correlated. A…

Machine Learning · Computer Science 2013-01-07 Ben Taskar , Pieter Abbeel , Daphne Koller

A Covariance-on-Covariance regression model is introduced in this manuscript. It is assumed that there exists (at least) a pair of linear projections on outcome covariance matrices and predictor covariance matrices such that a log-linear…

Methodology · Statistics 2022-12-21 Yi Zhao , Yize Zhao

With our ability to record more neurons simultaneously, making sense of these data is a challenge. Functional connectivity is one popular way to study the relationship between multiple neural signals. Correlation-based methods are a set of…

Neurons and Cognition · Quantitative Biology 2017-06-09 Tiger W. Lin , Anup Das , Giri P. Krishnan , Maxim Bazhenov , Terrence J. Sejnowski

Recent findings show that deep convolutional neural networks (DCNNs) do not generalize well under partial occlusion. Inspired by the success of compositional models at classifying partially occluded objects, we propose to integrate…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Adam Kortylewski , Ju He , Qing Liu , Alan Yuille

Link function is a key tool in the binomial regression model defined as non-linear model under GLM approach. It transforms the nonlinear regression to linear model with converting the interval (-\infty,\infty) to the probability [0,1]. The…

Methodology · Statistics 2024-03-28 Md Mehedi Hasan Bhuiyan

We consider a family of deep neural networks consisting of two groups of convolutional layers, a downsampling operator, and a fully connected layer. The network structure depends on two structural parameters which determine the numbers of…

Machine Learning · Computer Science 2021-07-05 Tong Mao , Zhongjie Shi , Ding-Xuan Zhou

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

Methodology · Statistics 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

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

In this paper, we examine the strength of deep learning technique for diagnosing lung cancer on medical image analysis problem. Convolutional neural networks (CNNs) models become popular among the pattern recognition and computer vision…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Mehdi Fatan Serj , Bahram Lavi , Gabriela Hoff , Domenec Puig Valls

Deep convolutional neural networks provide a powerful feature learning capability for image classification. The deep image features can be utilized to deal with many image understanding tasks like image classification and object…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Shaoning Zeng , Bob Zhang , Yanghao Zhang , Jianping Gou

Feed-forward, fully-connected Artificial Neural Networks (ANNs) or the so-called Multi-Layer Perceptrons (MLPs) are well-known universal approximators. However, their learning performance varies significantly depending on the function or…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Serkan Kiranyaz , Turker Ince , Alexandros Iosifidis , Moncef Gabbouj

Network data are often sampled with auxiliary information or collected through the observation of a complex system over time, leading to multiple network snapshots indexed by a continuous variable. Many methods in statistical network…

Methodology · Statistics 2024-07-16 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

Combining additive models and neural networks allows to broaden the scope of statistical regression and extend deep learning-based approaches by interpretable structured additive predictors at the same time. Existing attempts uniting the…

Machine Learning · Statistics 2022-07-12 David Rügamer , Chris Kolb , Nadja Klein

Longitudinal binary relational data can be better understood by implementing a latent space model for dynamic networks. This approach can be broadly extended to many types of weighted edges by using a link function to model the mean of the…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen