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We propose networked exponential families to jointly leverage the information in the topology as well as the attributes (features) of networked data points. Networked exponential families are a flexible probabilistic model for heterogeneous…

Machine Learning · Computer Science 2019-09-26 Alexander Jung

Exponential random graph models are a class of widely used exponential family models for social networks. The topological structure of an observed network is modelled by the relative prevalence of a set of local sub-graph configurations…

Computation · Statistics 2013-01-21 Alberto Caimo , Nial Friel

Representing networks in a low dimensional latent space is a crucial task with many interesting applications in graph learning problems, such as link prediction and node classification. A widely applied network representation learning…

Machine Learning · Computer Science 2019-11-21 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

The success of machine learning methods heavily relies on having an appropriate representation for data at hand. Traditionally, machine learning approaches relied on user-defined heuristics to extract features encoding structural…

Machine Learning · Statistics 2018-10-29 Ming Yu , Zhuoran Yang , Tuo Zhao , Mladen Kolar , Zhaoran Wang

Bayes' rule describes how to infer posterior beliefs about latent variables given observations, and inference is a critical step in learning algorithms for latent variable models (LVMs). Although there are exact algorithms for inference and…

Machine Learning · Computer Science 2025-09-22 Sacha Sokoloski

The kernel exponential family is a rich class of distributions, which can be fit efficiently and with statistical guarantees by score matching. Being required to choose a priori a simple kernel such as the Gaussian, however, limits its…

Machine Learning · Statistics 2021-01-15 Li Wenliang , Danica J. Sutherland , Heiko Strathmann , Arthur Gretton

Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

Machine Learning · Statistics 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

Generated networks are widely used in network-based research as a convenient simulation environment. Generating universal networks that more accurately reflect real-world patterns is a cornerstone task. This study proposes a vari-linear…

Physics and Society · Physics 2026-04-27 Jinhu Ren , Linyuan Lü

Adaptive inference is a promising technique to improve the computational efficiency of deep models at test time. In contrast to static models which use the same computation graph for all instances, adaptive networks can dynamically adjust…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Hao Li , Hong Zhang , Xiaojuan Qi , Ruigang Yang , Gao Huang

Exponential-family random network (ERN) models specify a joint representation of both the dyads of a network and nodal characteristics. This class of models allow the nodal characteristics to be modelled as stochastic processes, expanding…

Methodology · Statistics 2013-03-07 Ian E. Fellows , Mark S. Handcock

We investigate the problem of learning to generate complex networks from data. Specifically, we consider whether deep belief networks, dependency networks, and members of the exponential random graph family can learn to generate networks…

Machine Learning · Computer Science 2014-11-11 James Atwood , Don Towsley , Krista Gile , David Jensen

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

Machine Learning · Computer Science 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

We address the problem of learning of continuous exponential family distributions with unbounded support. While a lot of progress has been made on learning of Gaussian graphical models, we still lack scalable algorithms for reconstructing…

Machine Learning · Computer Science 2022-03-01 Christopher X. Ren , Sidhant Misra , Marc Vuffray , Andrey Y. Lokhov

We introduce provenance networks, a novel class of neural models designed to provide end-to-end, training-data-driven explainability. Unlike conventional post-hoc methods, provenance networks learn to link each prediction directly to its…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Ali Kayyam , Anusha Madan Gopal , M. Anthony Lewis

We study the problem of cooperative inference where a group of agents interact over a network and seek to estimate a joint parameter that best explains a set of observations. Agents do not know the network topology or the observations of…

Optimization and Control · Mathematics 2017-04-11 Angelia Nedić , Alex Olshevsky , César A. Uribe

What if there is a teacher who knows the learning goal and wants to design good training data for a machine learner? We propose an optimal teaching framework aimed at learners who employ Bayesian models. Our framework is expressed as an…

Machine Learning · Computer Science 2013-10-04 Xiaojin Zhu

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

Model-based methods and deep neural networks have both been tremendously successful paradigms in machine learning. In model-based methods, problem domain knowledge can be built into the constraints of the model, typically at the expense of…

Machine Learning · Computer Science 2014-11-21 John R. Hershey , Jonathan Le Roux , Felix Weninger

Developments in deep generative models have allowed for tractable learning of high-dimensional data distributions. While the employed learning procedures typically assume that training data is drawn i.i.d. from the distribution of interest,…

Machine Learning · Computer Science 2017-05-24 Ari Seff , Alex Beatson , Daniel Suo , Han Liu

Generative flows models enjoy the properties of tractable exact likelihood and efficient sampling, which are composed of a sequence of invertible functions. In this paper, we incorporate matrix exponential into generative flows. Matrix…

Machine Learning · Computer Science 2020-07-21 Changyi Xiao , Ligang Liu
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