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We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

We consider the model of cooperative learning via distributed non-Bayesian learning, where a network of agents tries to jointly agree on a hypothesis that best described a sequence of locally available observations. Building upon recently…

Optimization and Control · Mathematics 2020-10-21 Eduardo Mojica-Nava , David Yanguas-Rojas , César A. Uribe

An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates…

Artificial Intelligence · Computer Science 2016-12-30 Easton Li Xu , Xiaoning Qian , Tie Liu , Shuguang Cui

In many fields, and especially in the medical and social sciences and in recommender systems, data are gathered through clinical studies or targeted surveys. Participants are generally reluctant to respond to all questions in a survey or…

Statistics Theory · Mathematics 2016-11-15 Mohammad Reza Gholami , Magnus Jansson , Erik G. Ström , Ali H. Sayed

Existing high-dimensional statistical methods are largely established for analyzing individual-level data. In this work, we study estimation and inference for high-dimensional linear models where we only observe "proxy data", which include…

Methodology · Statistics 2022-01-12 Sai Li , T. Tony Cai , Hongzhe Li

We present a novel model architecture which leverages deep learning tools to perform exact Bayesian inference on sets of high dimensional, complex observations. Our model is provably exchangeable, meaning that the joint distribution over…

Machine Learning · Statistics 2018-10-17 Iryna Korshunova , Jonas Degrave , Ferenc Huszár , Yarin Gal , Arthur Gretton , Joni Dambre

In this work we address the problem of approximating high-dimensional data with a low-dimensional representation. We make the following contributions. We propose an inverse regression method which exchanges the roles of input and response,…

Machine Learning · Computer Science 2015-09-04 Antoine Deleforge , Florence Forbes , Radu Horaud

Modeling biological networks serves as both a major goal and an effective tool of systems biology in studying mechanisms that orchestrate the activities of gene products in cells. Biological networks are context specific and dynamic in…

Molecular Networks · Quantitative Biology 2014-02-20 Ye Tian , Bai Zhang , Eric P. Hoffman , Robert Clarke , Zhen Zhang , Ie-Ming Shih , Jianhua Xuan , David M. Herrington , Yue Wang

Random graphs, where the connections between nodes are considered random variables, have wide applicability in the social sciences. Exponential-family Random Graph Models (ERGM) have shown themselves to be a useful class of models for…

Methodology · Statistics 2012-08-02 Ian Fellows , Mark S. Handcock

Uncertainty is the only certainty there is. Modeling data uncertainty is essential for regression, especially in unconstrained settings. Traditionally the direct regression formulation is considered and the uncertainty is modeled by…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Wanhua Li , Xiaoke Huang , Jiwen Lu , Jianjiang Feng , Jie Zhou

Sequences of correlated binary patterns can represent many time-series data including text, movies, and biological signals. These patterns may be described by weighted combinations of a few dominant structures that underpin specific…

Machine Learning · Statistics 2019-03-29 Jimmy Gaudreault , Arunabh Saxena , Hideaki Shimazaki

Marginally specified models have recently become a popular tool for discrete longitudinal data analysis. Nonetheless, they introduce complex constraint equations and model fitting algorithms. Moreover, there is a lack of available software…

Methodology · Statistics 2014-05-15 Ozgur Asar , Ozlem Ilk

Many real world networks exhibit edge heterogeneity with different pairs of nodes interacting with different intensities. Further, nodes with similar attributes tend to interact more with each other. Thus, in the presence of observed node…

Methodology · Statistics 2024-12-24 Swati Chandna , Benjamin Bagozzi , Snigdhansu Chatterjee

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents, where the nonconvex local loss and convex local constraint functions can vary arbitrarily across iterations.…

Optimization and Control · Mathematics 2025-11-19 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

Methodology · Statistics 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

Discriminative latent-variable models are typically learned using EM or gradient-based optimization, which suffer from local optima. In this paper, we develop a new computationally efficient and provably consistent estimator for a mixture…

Machine Learning · Computer Science 2013-06-18 Arun Tejasvi Chaganty , Percy Liang

We propose a scalable temporal latent space model for link prediction in dynamic social networks, where the goal is to predict links over time based on a sequence of previous graph snapshots. The model assumes that each user lies in an…

Social and Information Networks · Computer Science 2016-07-26 Linhong Zhu , Dong Guo , Junming Yin , Greg Ver Steeg , Aram Galstyan

Most of today's distributed machine learning systems assume {\em reliable networks}: whenever two machines exchange information (e.g., gradients or models), the network should guarantee the delivery of the message. At the same time, recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Chen Yu , Hanlin Tang , Cedric Renggli , Simon Kassing , Ankit Singla , Dan Alistarh , Ce Zhang , Ji Liu

Estimating the probabilities of linkages in a network has gained increasing interest in recent years. One popular model for network analysis is the exchangeable graph model (ExGM) characterized by a two-dimensional function known as a…

Methodology · Statistics 2018-09-05 Yi Su , Raymond K. W. Wong , Thomas C. M. Lee

In this paper, we investigate binary response models for heterogeneous panel data with interactive fixed effects by allowing both the cross-sectional dimension and the temporal dimension to diverge. From a practical point of view, the…

Econometrics · Economics 2021-11-18 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan