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Nonlinear dynamical stochastic models are ubiquitous in different areas. Excitable media models are typical examples with large state dimensions. Their statistical properties are often of great interest but are also very challenging to…

统计理论 · 数学 2019-01-29 Nan Chen , Andrew J. Majda , Xin T. Tong

Nonstationary non-Gaussian spatial data are common in many disciplines, including climate science, ecology, epidemiology, and social sciences. Examples include count data on disease incidence and binary satellite data on cloud mask…

统计计算 · 统计学 2020-11-30 Benjamin Seiyon Lee , Jaewoo Park

Situations of a functional predictor paired with a scalar response are increasingly encountered in data analysis. Predictors are often appropriately modeled as square integrable smooth random functions. Imposing minimal assumptions on the…

统计理论 · 数学 2009-09-08 Peter Hall , Hans-Georg Müller , Fang Yao

In geostatistics, traditional spatial models often rely on the Gaussian Process (GP) to fit stationary covariances to data. It is well known that this approach becomes computationally infeasible when dealing with large data volumes,…

统计计算 · 统计学 2024-09-17 Antony Sikorski , Daniel McKenzie , Douglas Nychka

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

统计方法学 · 统计学 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

We consider a stationary spatio-temporal random process and assume that we have a sample. By defining a sequence of discrete Fourier transforms at canonical frequencies at each location, and using these complex valued random varables as…

统计理论 · 数学 2015-12-31 T. Subba Rao , Gy. Terdik

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

统计方法学 · 统计学 2021-03-02 Juan Sosa , Lina Buitrago

Spatial models for occupancy data are used to estimate and map the true presence of a species, which may depend on biotic and abiotic factors as well as spatial autocorrelation. Traditionally researchers have accounted for spatial…

应用统计 · 统计学 2021-05-05 Narmadha M. Mohankumar , Trevor J. Hefley

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

统计理论 · 数学 2020-11-05 Zixiang Guan , Gemai Chen

This paper addresses the task of dense non-rigid structure-from-motion (NRSfM) using multiple images. State-of-the-art methods to this problem are often hurdled by scalability, expensive computations, and noisy measurements. Further, recent…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Suryansh Kumar , Anoop Cherian , Yuchao Dai , Hongdong Li

We propose an iterative scheme for feature-based positioning using a new weighted dissimilarity measure with the goal of reducing the impact of large errors among the measured or modeled features. The weights are computed from the…

机器学习 · 计算机科学 2019-05-31 Caifa Zhou , Andreas Wieser

This paper develops a nonparametric framework for identifying and estimating spatial boundaries of treatment effects in settings with geographic spillovers. While atmospheric dispersion theory predicts exponential decay of pollution under…

计量经济学 · 经济学 2025-10-28 Tatsuru Kikuchi

In this paper, we develop a multi-step estimation procedure to simultaneously estimate the varying-coefficient functions using a local-linear generalized method of moments (GMM) based on continuous moment conditions. To incorporate spatial…

统计方法学 · 统计学 2024-10-07 Pratim Guha Niyogi , Ping-Shou Zhong , Xiaohong Joe Zhou

We propose to use a simulation driven inverse inference approach to model the dynamics of tree branches under manipulation. Learning branch dynamics and gaining the ability to manipulate deformable vegetation can help with occlusion-prone…

机器人学 · 计算机科学 2023-12-21 Jayadeep Jacob , Tirthankar Bandyopadhyay , Jason Williams , Paulo Borges , Fabio Ramos

The problem of covariance estimation for replicated surface-valued processes is examined from the functional data analysis perspective. Considerations of statistical and computational efficiency often compel the use of separability of the…

统计方法学 · 统计学 2021-10-25 Tomas Masak , Victor M. Panaretos

Several recent works have explored stochastic gradient methods for variational inference that exploit the geometry of the variational-parameter space. However, the theoretical properties of these methods are not well-understood and these…

机器学习 · 统计学 2016-08-15 Mohammad Emtiyaz Khan , Reza Babanezhad , Wu Lin , Mark Schmidt , Masashi Sugiyama

Recent advances in local models for point processes have highlighted the need for flexible methodologies to account for the spatial heterogeneity of external covariates influencing process intensity. In this work, we introduce tessellated…

统计方法学 · 统计学 2025-04-11 Nicoletta D'Angelo

This work presents a non-parametric spatio-temporal model for mapping human activity by mobile autonomous robots in a long-term context. Based on Variational Gaussian Process Regression, the model incorporates prior information of spatial…

机器人学 · 计算机科学 2022-07-12 Marvin Stuede , Moritz Schappler

Spherical regression explores relationships between variables on spherical domains. We develop a nonparametric model that uses a diffeomorphic map from a sphere to itself. The restriction of this mapping to diffeomorphisms is natural in…

其他统计学 · 统计学 2017-02-06 Michael Rosenthal , Wei Wu , Eric Klassen , Anuj Srivastava

In this article, we introduce parallel-in-time methods for state and parameter estimation in general nonlinear non-Gaussian state-space models using the statistical linear regression and the iterated statistical posterior linearization…

统计计算 · 统计学 2023-04-06 Fatemeh Yaghoobi , Adrien Corenflos , Sakira Hassan , Simo Särkkä