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Frequentist robust variable selection has been extensively investigated in high-dimensional regression. Despite success, developing the corresponding statistical inference procedures remains a challenging task. Recently, tackling this…

Methodology · Statistics 2025-07-24 Kun Fan , Srijana Subedi , Vishmi Ridmika Dissanayake Pathiranage , Cen Wu

This paper proposes a variational Bayes algorithm for computationally efficient posterior and predictive inference in time-varying parameter (TVP) models. Within this context we specify a new dynamic variable/model selection strategy for…

Computation · Statistics 2021-12-23 Gary Koop , Dimitris Korobilis

High dimensional vector autoregressive (VAR) models require a large number of parameters to be estimated and may suffer of inferential problems. We propose a new Bayesian nonparametric (BNP) Lasso prior (BNP-Lasso) for high-dimensional VAR…

Economics · Quantitative Finance 2018-10-30 Monica Billio , Roberto Casarin , Luca Rossini

High-dimensional data with hundreds of thousands of observations are becoming commonplace in many disciplines. The analysis of such data poses many computational challenges, especially when the observations are correlated over time and/or…

Computation · Statistics 2011-08-05 Sylvie Tchumtchoua , David B. Dunson , Jeffrey S. Morris

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We propose a Bayesian propensity score-augmented latent factor model for causal inference with time-series cross-sectional data. The framework explicitly models the treatment assignment mechanism by incorporating latent factor loadings,…

Methodology · Statistics 2026-03-27 Licheng Liu

We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features…

Machine Learning · Computer Science 2024-10-08 Aysin Tumay , Mustafa E. Aydin , Ali T. Koc , Suleyman S. Kozat

We develop a method for reconstructing regulatory interconnection networks between variables evolving according to a linear dynamical system. The work is motivated by the problem of gene regulatory network inference, that is, finding causal…

Methodology · Statistics 2018-02-19 Atte Aalto , Jorge Goncalves

We propose a novel Bayesian approach to the problem of variable selection in multiple linear regression models. In particular, we present a hierarchical setting which allows for direct specification of a-priori beliefs about the number of…

Computation · Statistics 2019-03-14 Konstantin Posch , Maximilian Arbeiter , Jürgen Pilz

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

Neurons and Cognition · Quantitative Biology 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Making inferences from data streams is a pervasive problem in many modern data analysis applications. But it requires to address the problem of continuous model updating and adapt to changes or drifts in the underlying data generating…

Machine Learning · Computer Science 2017-07-11 Andres Masegosa , Thomas D. Nielsen , Helge Langseth , Dario Ramos-Lopez , Antonio Salmeron , Anders L. Madsen

We propose a novel hierarchical Bayesian model for learning with a large (possibly infinite) number of tasks/episodes, which suits well the few-shot meta learning problem. We consider episode-wise random variables to model episode-specific…

Machine Learning · Computer Science 2023-06-19 Minyoung Kim , Timothy Hospedales

Vector autoregressive (VAR) models are popularly adopted for modelling high-dimensional time series, and their piecewise extensions allow for structural changes in the data. In VAR modelling, the number of parameters grow quadratically with…

Methodology · Statistics 2023-01-23 Haeran Cho , Hyeyoung Maeng , Idris A. Eckley , Paul Fearnhead

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

Machine Learning · Computer Science 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

Deep neural network models have become ubiquitous in recent years, and have been applied to nearly all areas of science, engineering, and industry. These models are particularly useful for data that have strong dependencies in space (e.g.,…

Machine Learning · Statistics 2022-06-07 Christopher K. Wikle , Andrew Zammit-Mangion

In this paper, we consider modelling interaction between a set of variables in the context of time series and high dimension. We suggest two approaches. The first is similar to the neighborhood lasso when the lasso model is replaced by a…

Machine Learning · Statistics 2019-08-05 Kamel Jebreen , Badih Ghattas

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

Machine Learning · Computer Science 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki

Intensive longitudinal biomarker data are increasingly common in scientific studies that seek temporally granular understanding of the role of behavioral and physiological factors in relation to outcomes of interest. Intensive longitudinal…

Methodology · Statistics 2024-01-17 Mingyan Yu , Zhenke Wu , Margaret Hicken , Michael R. Elliott

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle