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Estimating signals underlying noisy data is a significant problem in statistics and engineering. Numerous estimators are available in the literature, depending on the observation model and estimation criterion. This paper introduces a…

Methodology · Statistics 2023-05-09 Woo Min Kim , Sutanoy Dasgupta , Anuj Srivastava

We present a framework for inference for spatial processes that have actual values imperfectly represented by data. Environmental processes represented as spatial fields, either at fixed time points, or aggregated over fixed time periods,…

Methodology · Statistics 2016-09-27 Benjamin D. Youngman , David B. Stephenson

We have utilized the non-conjugate Variational Bayesian (VB) method for the problem of the sparse Poisson regression model. To provide approximate conjugacy in the model, the likelihood is approximated by a quadratic function, yielding…

Methodology · Statistics 2026-02-06 Mitra Kharabati , Morteza Amini , Mohammad Arashi

We consider the dynamic linear regression problem, where the predictor vector may vary with time. This problem can be modeled as a linear dynamical system, with non-constant observation operator, where the parameters that need to be learned…

Machine Learning · Computer Science 2022-10-13 Mark Kozdoba , Edward Moroshko , Shie Mannor , Koby Crammer

We introduce Bayesian spatial change of support methodology for count-valued survey data with known survey variances. Our proposed methodology is motivated by the American Community Survey (ACS), an ongoing survey administered by the U.S.…

Applications · Statistics 2014-10-29 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

Several data analysis techniques employ similarity relationships between data points to uncover the intrinsic dimension and geometric structure of the underlying data-generating mechanism. In this paper we work under the model assumption…

Machine Learning · Statistics 2019-04-09 Nicolas Garcia Trillos , Daniel Sanz-Alonso , Ruiyi Yang

For 6-DOF (degrees of freedom) interactive virtual acoustic environments (VAEs), the spatial rendering of diffuse late reverberation in addition to early (specular) reflections is important. In the interest of computational efficiency, the…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-30 Christoph Kirsch , Josef Poppitz , Torben Wendt , Steven van de Par , Stephan D. Ewert

Navigation in unknown, chaotic environments continues to present a significant challenge for the robotics community. Lighting changes, self-similar textures, motion blur, and moving objects are all considerable stumbling blocks for…

Robotics · Computer Science 2019-08-06 Valentin Peretroukhin , Lee Clement , Matthew Giamou , Jonathan Kelly

An alternative to current mainstream preprocessing methods is proposed: Value Selection (VS). Unlike the existing methods such as feature selection that removes features and instance selection that eliminates instances, value selection…

Machine Learning · Computer Science 2020-07-10 Gunarto Sindoro Njoo , Baihua Zheng , Kuo-Wei Hsu , Wen-Chih Peng

Reinforcement learning algorithms assume that observations satisfy the Markov property, yet real-world sensors frequently violate this assumption through correlated noise, latency, or partial observability. Standard performance metrics…

Machine Learning · Computer Science 2026-05-08 Naveen Mysore

Causal representation learning aims at identifying high-level causal variables from perceptual data. Most methods assume that all latent causal variables are captured in the high-dimensional observations. We instead consider a partially…

Compressive sensing (CS) is a data acquisition technique that measures sparse or compressible signals at a sampling rate lower than their Nyquist rate. Results show that sparse signals can be reconstructed using greedy algorithms, often…

Information Theory · Computer Science 2016-02-23 Jinye Zhang , Laming Chen , Petros T. Boufounos , Yuantao Gu

Among the most popular variable selection procedures in high-dimensional regression, Lasso provides a solution path to rank the variables and determines a cut-off position on the path to select variables and estimate coefficients. In this…

Methodology · Statistics 2018-06-19 X. Jessie Jeng , Huimin Peng , Wenbin Lu

Identifying latent variables and the causal structure involving them is essential across various scientific fields. While many existing works fall under the category of constraint-based methods (with e.g. conditional independence or rank…

Machine Learning · Computer Science 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang

Data assimilation addresses the problem of identifying plausible state trajectories of dynamical systems given noisy or incomplete observations. In geosciences, it presents challenges due to the high-dimensionality of geophysical dynamical…

Machine Learning · Statistics 2023-11-03 François Rozet , Gilles Louppe

Satellite-based positioning system such as GPS often suffers from large amount of noise that degrades the positioning accuracy dramatically especially in real-time applications. In this work, we consider a data-mining approach to enhance…

Machine Learning · Statistics 2019-06-05 Ming Lin , Xiaomin Song , Qi Qian , Hao Li , Liang Sun , Shenghuo Zhu , Rong Jin

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

Methodology · Statistics 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

Methodology · Statistics 2016-01-20 Julian Faraway

The feature based spatial verification method SAL is applied to cloud data, i.e. two-dimensional spatial fields of total cloud cover and spectral radiance. Model output is obtained from the COSMO-DE forward operator SynSat and compared to…

Atmospheric and Oceanic Physics · Physics 2016-03-08 Michael Weniger , Petra Friederichs

Corrupted data sets containing noisy or missing observations are prevalent in various contemporary applications such as economics, finance and bioinformatics. Despite the recent methodological and algorithmic advances in high-dimensional…

Methodology · Statistics 2020-05-12 J. Wu , Z. Zheng , Y. Li , Y. Zhang