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Data assimilation (DA) methods use priors arising from differential equations to robustly interpolate and extrapolate data. Popular techniques such as ensemble methods that handle high-dimensional, nonlinear PDE priors focus mostly on state…

Machine Learning · Statistics 2024-06-05 Rafael Anderka , Marc Peter Deisenroth , So Takao

Autoregressive (AR) models have demonstrated significant success in the realm of text-to-image generation. However, they usually face two major challenges. Firstly, the generated images may not always meet the quality standards expected by…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Kai Dong , Tingting Bai

Identifying changes in a pair of 3D aerial LiDAR point clouds, obtained during two distinct time periods over the same geographic region presents a significant challenge due to the disparities in spatial coverage and the presence of noise…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Peter Naylor , Diego Di Carlo , Arianna Traviglia , Makoto Yamada , Marco Fiorucci

Sliced Inverse Regression (SIR) is an effective method for dimension reduction in high-dimensional regression problems. The original method, however, requires the inversion of the predictors covariance matrix. In case of collinearity…

Statistics Theory · Mathematics 2011-04-01 C. Bernard-Michel , L. Gardes , S. Girard

This paper presents the Imputer, a neural sequence model that generates output sequences iteratively via imputations. The Imputer is an iterative generative model, requiring only a constant number of generation steps independent of the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-23 William Chan , Chitwan Saharia , Geoffrey Hinton , Mohammad Norouzi , Navdeep Jaitly

In this paper we propose an identification method for latent-variable graphical models associated to autoregressive (AR) Gaussian stationary processes. The identification procedure exploits the approximation of AR processes through…

Optimization and Control · Mathematics 2018-09-06 Daniele Alpago , Mattia Zorzi , Augusto Ferrante

In this article, we discuss some geometric infinitely divisible (gid) random variables using the Laplace exponents which are Bernstein functions and study their properties. The distributional properties and limiting behavior of the…

Statistics Theory · Mathematics 2023-09-07 Monika Singh Dhull , Arun Kumar

Integer-valued generalized autoregressive conditional heteroskedastic (INGARCH) models are a popular framework for modeling serial dependence in count time-series. While convenient for modeling, prediction, and estimation, INGARCH models…

Methodology · Statistics 2026-05-12 Jae Youn Ahn , Hong Beng Lim , Mario V. Wüthrich

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

Econometrics · Economics 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

Implicit Processes (IPs) represent a flexible framework that can be used to describe a wide variety of models, from Bayesian neural networks, neural samplers and data generators to many others. IPs also allow for approximate inference in…

Machine Learning · Statistics 2022-07-25 Simón Rodríguez Santana , Bryan Zaldivar , Daniel Hernández-Lobato

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

Machine Learning · Statistics 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

Tabular data builds the basis for a wide range of applications, yet real-world datasets are frequently incomplete due to collection errors, privacy restrictions, or sensor failures. As missing values degrade the performance or hinder the…

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

Machine Learning · Statistics 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Inverse design, the process of matching a device or process parameters to exhibit a desired performance, is applied in many disciplines ranging from material design over chemical processes and to engineering. Machine learning has emerged as…

Machine Learning · Computer Science 2022-08-31 Michel Frising , Jorge Bravo-Abad , Ferry Prins

In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particular problems, designing fast and flexible optimization…

Computer Vision and Pattern Recognition · Computer Science 2017-07-03 Yiyang Wang , Risheng Liu , Xiaoliang Song , Zhixun Su

The unfolding of detector effects is crucial for the comparison of data to theory predictions. While traditional methods are limited to representing the data in a low number of dimensions, machine learning has enabled new unfolding…

High Energy Physics - Phenomenology · Physics 2024-01-12 Mathias Backes , Anja Butter , Monica Dunford , Bogdan Malaescu

A new multivariate stochastic volatility estimation procedure for financial time series is proposed. A Wishart autoregressive process is considered for the volatility precision covariance matrix, for the estimation of which a two step…

Computational Finance · Quantitative Finance 2013-11-05 K. Triantafyllopoulos

This paper presents Randomized AutoRegressive modeling (RAR) for visual generation, which sets a new state-of-the-art performance on the image generation task while maintaining full compatibility with language modeling frameworks. The…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Qihang Yu , Ju He , Xueqing Deng , Xiaohui Shen , Liang-Chieh Chen

Predictions for physical systems often rely upon knowledge acquired from ensembles of entities, e.g., ensembles of cells in biological sciences. For qualitative and quantitative analysis, these ensembles are simulated with parametric…

Machine Learning · Statistics 2023-09-28 Timothy Rumbell , Jaimit Parikh , James Kozloski , Viatcheslav Gurev

Time series of matrix-valued data are increasingly available in various areas including economics, finance, social science, among others. These data may shed light on the inter-dynamical relationships between two sets of attributes, for…

Methodology · Statistics 2026-04-22 Fei Wu , Kung-Sik Chan
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