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Recent advances have shown that statistical tests for the rank of cross-covariance matrices play an important role in causal discovery. These rank tests include partial correlation tests as special cases and provide further graphical…

Machine Learning · Computer Science 2025-06-13 Xinshuai Dong , Ignavier Ng , Boyang Sun , Haoyue Dai , Guang-Yuan Hao , Shunxing Fan , Peter Spirtes , Yumou Qiu , Kun Zhang

Robust tracking of a target in a clutter environment is an important and challenging task. In recent years, the nearest neighbor methods and probabilistic data association filters were proposed. However, the performance of these methods…

Machine Learning · Computer Science 2020-12-18 Bahman Moraffah , Christ Richmond , Raha Moraffah , Antonia Papandreou-Suppappola

Mistakes/uncertainties in object detection could lead to catastrophes when deploying robots in the real world. In this paper, we measure the uncertainties of object localization to minimize this kind of risk. Uncertainties emerge upon…

Computer Vision and Pattern Recognition · Computer Science 2020-07-03 Yihui He , Jianren Wang

Channel Estimation is an essential component in applications such as radar and data communication. In multi path time varying environments, it is necessary to estimate time-shifts, scale-shifts (the wideband equivalent of Doppler-shifts),…

Information Theory · Computer Science 2009-06-05 Brian Carroll

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

Methodology · Statistics 2010-11-05 Christopher J. Paciorek

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data. Deciphering the stochastic mechanism behind the recorded dynamics…

Statistical Mechanics · Physics 2023-09-14 Henrik Seckler , Janusz Szwabinski , Ralf Metzler

Radio emission propagating over an Earth-pulsar line of sight provides a unique probe of the intervening ionized interstellar medium (ISM). Variations in the integrated electron column density along this line of sight, or dispersion measure…

High Energy Astrophysical Phenomena · Physics 2020-04-08 M. T. Lam , T. J. W. Lazio , T. Dolch , M. L. Jones , M. A. McLaughlin , D. R. Stinebring , M. Surnis

(abridged) The dust content of the universe is primarily explored via its interaction with stellar photons, producing interstellar extinction. However, owing to the physical extension of the observing beam, observations may detect scattered…

Solar and Stellar Astrophysics · Physics 2015-12-02 P. Scicluna , R. Siebenmorgen

Using a set of hydrodynamical simulations of 62 galaxy clusters and groups we study the ICM of inhomogeneities, focusing on the ones on the large scale that, unlike clumps, are the most difficult to identify. To this purpose we introduce…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 M. Roncarelli , S. Ettori , S. Borgani , K. Dolag , D. Fabjan , L. Moscardini

Within the calibration of material models, often the numerical results of a simulation model $y$ are compared with the experimental measurements $y^*$. Usually, the differences between measurements and simulation are minimized using least…

Materials Science · Physics 2024-08-14 Thomas Most

The covariate shift is a challenging problem in supervised learning that results from the discrepancy between the training and test distributions. An effective approach which recently drew a considerable attention in the research community…

Machine Learning · Computer Science 2013-11-27 Yun-Qian Miao , Ahmed K. Farahat , Mohamed S. Kamel

The singular subspaces perturbation theory is of fundamental importance in probability and statistics. It has various applications across different fields. We consider two arbitrary matrices where one is a leave-one-column-out submatrix of…

Statistics Theory · Mathematics 2024-01-17 Anderson Y. Zhang , Harrison H. Zhou

Self-diffusion coefficients, $D^*$, are routinely estimated from molecular dynamics simulations by fitting a linear model to the observed mean-squared displacements (MSDs) of mobile species. MSDs derived from simulation exhibit statistical…

Statistical Mechanics · Physics 2026-01-05 Andrew R. McCluskey , Samuel W. Coles , Benjamin J. Morgan

Ambiguity in medical image segmentation calls for models that capture full conditional distributions rather than a single point estimate. We present Prior-Guided Residual Diffusion (PGRD), a diffusion-based framework that learns voxel-wise…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Fuyou Mao , Beining Wu , Yanfeng Jiang , Han Xue , Yan Tang , Hao Zhang

Information divergences are commonly used to measure the dissimilarity of two elements on a statistical manifold. Differentiable manifolds endowed with different divergences may possess different geometric properties, which can result in…

Signal Processing · Electrical Eng. & Systems 2021-08-17 Xiaoqiang Hua , Yusuke Ono , Linyu Peng , Yongqiang Cheng , Hongqiang Wang

Diffusion models have become a standard approach for generative modeling in continuous domains, yet their application to discrete data remains challenging. We investigate why Gaussian diffusion models with the DDPM solver struggle to sample…

Computation and Language · Computer Science 2026-05-28 Alexander Shabalin , Simon Elistratov , Viacheslav Meshchaninov , Ildus Sadrtdinov , Dmitry Vetrov

Accurate radio wave propagation modeling is essential for effective spectrum management by regulators and network deployment by operators. This paper investigates the ITU-R P.1812-7 (P.1812) propagation model's reliance on geospatial…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Mathieu Chateauvert , Jonathan Ethier , Adrian Florea

We report on ultrasonic imaging in a random heterogeneous medium. The goal is to detect flaws embedded deeply into a polycrystalline material. A 64-element array of piezoelectric transmitters/receivers at a central frequency of 5 MHz is…

Other Condensed Matter · Physics 2015-06-19 Sharfine Shahjahan , Alexandre Aubry , Fabienne Rupin , Bertrand Chassignole , Arnaud Derode

Understanding the dynamics of food banks' demand from food insecurity is essential in optimizing operational costs and equitable distribution of food, especially when demand is uncertain. Hence, Gaussian Mixture Model (GMM) clustering is…

Applications · Statistics 2022-02-04 Rahul Srinivas Sucharitha , Seokcheon Lee

In this paper, we present a tutorial overview of state-of-the-art radio frequency (RF) clutter modeling and simulation (M&S) techniques. Traditional statistical approximation based methods will be reviewed followed by more accurate…

Signal Processing · Electrical Eng. & Systems 2022-02-14 Sandeep Gogineni , Joseph R. Guerci , Hoan K. Nguyen , Jameson S. Bergin , David R. Kirk , Brian C. Watson , Muralidhar Rangaswamy
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