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We propose VarFA, a variational inference factor analysis framework that extends existing factor analysis models for educational data mining to efficiently output uncertainty estimation in the model's estimated factors. Such uncertainty…

Machine Learning · Statistics 2020-08-18 Zichao Wang , Yi Gu , Andrew Lan , Richard Baraniuk

Collected data, which is used for analysis or prediction tasks, often have a hierarchical structure, for example, data from various people performing the same task. Modeling the data's structure can improve the reliability of the derived…

Applications · Statistics 2018-11-12 Dennis Becker

Variational Bayesian posterior inference often requires simplifying approximations such as mean-field parametrisation to ensure tractability. However, prior work has associated the variational mean-field approximation for Bayesian neural…

Machine Learning · Computer Science 2022-10-07 Richard Kurle , Ralf Herbrich , Tim Januschowski , Yuyang Wang , Jan Gasthaus

The behavior of many Bayesian models used in machine learning critically depends on the choice of prior distributions, controlled by some hyperparameters that are typically selected by Bayesian optimization or cross-validation. This…

Machine Learning · Statistics 2023-10-09 Eliezer de Souza da Silva , Tomasz Kuśmierczyk , Marcelo Hartmann , Arto Klami

Polynomial networks and factorization machines are two recently-proposed models that can efficiently use feature interactions in classification and regression tasks. In this paper, we revisit both models from a unified perspective. Based on…

Machine Learning · Statistics 2016-08-01 Mathieu Blondel , Masakazu Ishihata , Akinori Fujino , Naonori Ueda

Gaussian graphical models are widely utilized to infer and visualize networks of dependencies between continuous variables. However, inferring the graph is difficult when the sample size is small compared to the number of variables. To…

Statistics Theory · Mathematics 2016-09-30 Emilie Devijver , Mélina Gallopin

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

We show an alternative way of representing a Bayesian belief network by sensitivities and probability distributions. This representation is equivalent to the traditional representation by conditional probabilities, but makes dependencies…

Artificial Intelligence · Computer Science 2013-02-21 Alexander V. Kozlov , Jaswinder Pal Singh

Inference for the stochastic blockmodel is currently of burgeoning interest in the statistical community, as well as in various application domains as diverse as social networks, citation networks, brain connectivity networks…

Methodology · Statistics 2016-02-10 Shakira Suwan , Dominic S. Lee , Runze Tang , Daniel L. Sussman , Minh Tang , Carey E. Priebe

Many matrices associated with fast transforms posess a certain low-rank property characterized by the existence of several block partitionings of the matrix, where each block is of low rank. Provided that these partitionings are known,…

Numerical Analysis · Mathematics 2023-07-04 Léon Zheng , Gilles Puy , Elisa Riccietti , Patrick Pérez , Rémi Gribonval

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

Methodology · Statistics 2020-04-30 Papamichalis Marios

A principled approach to characterize the hidden structure of networks is to formulate generative models, and then infer their parameters from data. When the desired structure is composed of modules or "communities", a suitable choice for…

Data Analysis, Statistics and Probability · Physics 2018-08-23 Tiago P. Peixoto

Inference is the task of drawing conclusions about unobserved variables given observations of related variables. Applications range from identifying diseases from symptoms to classifying economic regimes from price movements. Unfortunately,…

We present probabilistic neural programs, a framework for program induction that permits flexible specification of both a computational model and inference algorithm while simultaneously enabling the use of deep neural networks.…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Kenton W. Murray , Jayant Krishnamurthy

Distributed inference/estimation in Bayesian framework in the context of sensor networks has recently received much attention due to its broad applicability. The variational Bayesian (VB) algorithm is a technique for approximating…

Machine Learning · Statistics 2020-11-30 Junhao Hua , Chunguang Li

Many problems in machine learning are naturally expressed in the language of undirected graphical models. Here, we propose black-box learning and inference algorithms for undirected models that optimize a variational approximation to the…

Machine Learning · Computer Science 2017-11-20 Volodymyr Kuleshov , Stefano Ermon

Bayesian inference and kernel methods are well established in machine learning. The neural network Gaussian process in particular provides a concept to investigate neural networks in the limit of infinitely wide hidden layers by using…

Disordered Systems and Neural Networks · Physics 2023-11-10 Javed Lindner , David Dahmen , Michael Krämer , Moritz Helias

Factor analysis aims to determine latent factors, or traits, which summarize a given data set. Inter-battery factor analysis extends this notion to multiple views of the data. In this paper we show how a nonlinear, nonparametric version of…

Machine Learning · Statistics 2016-04-19 Andreas Damianou , Neil D. Lawrence , Carl Henrik Ek

Federated Learning enables multiple data centers to train a central model collaboratively without exposing any confidential data. Even though deterministic models are capable of performing high prediction accuracy, their lack of calibration…

Machine Learning · Computer Science 2022-11-24 Atahan Ozer , Kadir Burak Buldu , Abdullah Akgül , Gozde Unal

We derive and present explicit algorithms to facilitate streamlined computing for variational inference for models containing higher level random effects. Existing literature, such as Lee and Wand (2016), is such that streamlined…

Computation · Statistics 2020-07-07 Tui H. Nolan , Marianne Menictas , Matt P. Wand