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Many real-world problems encountered in several disciplines deal with the modeling of time-series containing different underlying dynamical regimes, for which probabilistic approaches are very often employed. In this paper we describe…

Machine Learning · Statistics 2015-03-19 Silvia Chiappa

We consider the scenario where the parameters of a probabilistic model are expected to vary over time. We construct a novel prior distribution that promotes sparsity and adapts the strength of correlation between parameters at successive…

Machine Learning · Statistics 2015-11-10 Dani Yogatama , Bryan R. Routledge , Noah A. Smith

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

Methodology · Statistics 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

This text presents an unified approach of probability and statistics in the pursuit of understanding and computation of randomness in engineering or physical or social system with prediction with generalizability. Starting from elementary…

History and Overview · Mathematics 2024-01-19 Lakshman Mahto

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

Methodology · Statistics 2023-03-09 Cody Carroll , Hans-Georg Müller

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams

There is growing interest in producing estimates of demographic and global health indicators in populations with limited data. Statistical models are needed to combine data from multiple data sources into estimates and projections with…

Methodology · Statistics 2022-12-02 Herbert Susmann , Monica Alexander , Leontine Alkema

Probabilistic Latent Tensor Factorization (PLTF) is a recently proposed probabilistic framework for modelling multi-way data. Not only the common tensor factorization models but also any arbitrary tensor factorization structure can be…

Computation · Statistics 2014-09-30 Beyza Ermis , Y. Kenan Yılmaz , A. Taylan Cemgil , Evrim Acar

Models characterized by autoregressive structure and random coefficients are powerful tools for the analysis of high-frequency, high-dimensional and volatile time series. The available literature on such models is broad, but also sectorial,…

Methodology · Statistics 2020-09-18 Marta Regis , Paulo Serra , Edwin R. van den Heuvel

Recent advances in analysis of subband amplitude envelopes of natural sounds have resulted in convincing synthesis, showing subband amplitudes to be a crucial component of perception. Probabilistic latent variable analysis is particularly…

Machine Learning · Computer Science 2019-03-28 William J. Wilkinson , Joshua D. Reiss , Dan Stowell

Due to the increased complexity of software development projects more and more systems are described by models. The sheer size makes it impractical to describe these systems by a single model. Instead many models are developed that provide…

Software Engineering · Computer Science 2014-09-24 Christoph Herrmann , Holger Krahn , Bernhard Rumpe , Martin Schindler , Steven Völkel

In this paper the problems of the retrospective analysis of models with time-varying structure are considered. These models include contamination models with randomly switching parameters and multivariate classification models with an…

Statistics Theory · Mathematics 2017-10-31 Boris Brodsky , Boris Darkhovsky

In this paper we propose a unified framework for structured prediction with latent variables which includes hidden conditional random fields and latent structured support vector machines as special cases. We describe a local entropy…

Machine Learning · Computer Science 2012-07-03 Alexander Schwing , Tamir Hazan , Marc Pollefeys , Raquel Urtasun

Model criticism is usually carried out by assessing if replicated data generated under the fitted model looks similar to the observed data, see e.g. Gelman, Carlin, Stern, and Rubin [2004, p. 165]. This paper presents a method for latent…

Machine Learning · Statistics 2018-07-04 Sohan Seth , Iain Murray , Christopher K. I. Williams

This paper introduces a general Bayesian non- parametric latent feature model suitable to per- form automatic exploratory analysis of heterogeneous datasets, where the attributes describing each object can be either discrete, continuous or…

Machine Learning · Statistics 2017-07-27 Isabel Valera , Melanie F. Pradier , Zoubin Ghahramani

Sparse and irregularly sampled multivariate time series are common in clinical, climate, financial and many other domains. Most recent approaches focus on classification, regression or forecasting tasks on such data. In forecasting, it is…

Machine Learning · Computer Science 2020-04-08 Shivam Srivastava , Prithviraj Sen , Berthold Reinwald

Current methods for learning graphical models with latent variables and a fixed structure estimate optimal values for the model parameters. Whereas this approach usually produces overfitting and suboptimal generalization performance,…

Machine Learning · Computer Science 2013-01-30 Hagai Attias

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

Machine Learning · Computer Science 2014-08-12 Ricardo Silva , Robert B. Gramacy

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

Machine Learning · Computer Science 2010-03-15 Ricardo Silva , Robert B. Gramacy