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In this paper, we propose a dimension reduction model for spatially dependent variables. Namely, we investigate an extension of the \emph{inverse regression} method under strong mixing condition. This method is based on estimation of the…

Statistics Theory · Mathematics 2008-12-18 Jean-Michel Loubes , Anne-Françoise Yao

Conventional research attributes the improvements of generalization ability of deep neural networks either to powerful optimizers or the new network design. Different from them, in this paper, we aim to link the generalization ability of a…

Machine Learning · Computer Science 2018-11-06 Hui-Ling Zhen , Xi Lin , Alan Z. Tang , Zhenhua Li , Qingfu Zhang , Sam Kwong

Accurate modeling of human mobility is critical for understanding epidemic spread and deploying timely interventions. In this work, we leverage a large-scale spatio-temporal dataset collected from Peru's national Digital Contact Tracing…

Machine Learning · Computer Science 2026-02-26 Chuan Li , Jiang You , Hassine Moungla , Vincent Gauthier , Miguel Nunez-del-Prado , Hugo Alatrista-Salas

Nonstationarity is a major challenge in analyzing spatial data. For example, daily precipitation measurements may have increased variability and decreased spatial smoothness in areas with high mean rainfall. Common nonstationary covariance…

Methodology · Statistics 2019-05-31 Geoffrey Colin Lee Peterson , Joseph Guinness , Adam Terando , Brian J. Reich

Spatial autoregressive model, introduced by Clif and Ord in 1970s has been widely applied in many areas of science and econometrics such as regional economics, public finance, political sciences, agricultural economics, environmental…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews

The trade-off in remote sensing instruments that balances the spatial resolution and temporal frequency limits our capacity to monitor spatial and temporal dynamics effectively. The spatiotemporal data fusion technique is considered as a…

Computer Vision and Pattern Recognition · Computer Science 2017-10-11 Qing Cheng , Huiqing Liu , Huanfeng Shen , Penghai Wu , Liangpei Zhang

Functional data analysis has been a growing field of study in recent decades, and one fundamental task in functional data analysis is estimating the sample location. A notion called statistical depth has been extended from multivariate data…

Applications · Statistics 2018-11-06 Xudong Zhang

This paper presents a Bayesian regression model relating scalar outcomes to brain functional connectivity represented as symmetric positive definite (SPD) matrices. Unlike many proposals that simply vectorize the matrix-valued connectivity…

Methodology · Statistics 2024-03-28 Xiaomeng Ju , Hyung G. Park , Thaddeus Tarpey

Spatial networks, in which nodes and edges are embedded in space, play a vital role in the study of complex systems. For example, many social networks attach geo-location information to each user, allowing the study of not only topological…

Social and Information Networks · Computer Science 2014-03-05 Nicholas D. Larusso , Brian E. Ruttenberg , Ambuj Singh

Neural likelihood estimation methods for simulation-based inference can suffer from performance degradation when the modeled data is very high-dimensional or lies along a lower-dimensional manifold, which is due to the inability of the…

Machine Learning · Statistics 2025-06-12 Simon Dirmeier , Carlo Albert , Fernando Perez-Cruz

Small Earth data are geoscience observations with limited short-term monitoring variability, providing sparse but meaningful measurements, typically exhibiting spatiotemporal correlations. Spatiotemporal forecasting on such data is crucial…

Machine Learning · Computer Science 2025-10-13 Yuting Yang , Gang Mei , Zhengjing Ma , Nengxiong Xu , Jianbing Peng

With COVID-19 affecting every country globally and changing everyday life, the ability to forecast the spread of the disease is more important than any previous epidemic. The conventional methods of disease-spread modeling, compartmental…

Machine Learning · Statistics 2022-08-19 Benjamin Lucas , Behzad Vahedi , Morteza Karimzadeh

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

Methodology · Statistics 2015-09-15 Mark D. Risser , Catherine A. Calder

Deep neural networks (DNNs) form the cornerstone of modern AI services, supporting a wide range of applications, including autonomous driving, chatbots, and recommendation systems. As models increase in size and complexity, DNN workloads…

Machine Learning · Computer Science 2025-11-14 Xiaokai Wang , Shaoyuan Huang , Yuting Li , Xiaofei Wang

Spatial time series forecasting problems arise in a broad range of applications, such as environmental and transportation problems. These problems are challenging because of the existence of specific spatial, short-term and long-term…

Machine Learning · Computer Science 2019-02-05 Reza Asadi , Amelia Regan

Survival analysis is a critical tool for the modelling of time-to-event data, such as life expectancy after a cancer diagnosis or optimal maintenance scheduling for complex machinery. However, current neural network models provide an…

Machine Learning · Statistics 2021-12-06 Fabio Luis de Mello , J Mark Wilkinson , Visakan Kadirkamanathan

In the last few decades, building regression models for non-scalar variables, including time series, text, image, and video, has attracted increasing interests of researchers from the data analytic community. In this paper, we focus on a…

Machine Learning · Computer Science 2020-12-01 Qiyao Wang , Haiyan Wang , Chetan Gupta , Aniruddha Rajendra Rao , Hamed Khorasgani

Dynamic DNN optimization techniques such as layer-skipping offer increased adaptability and efficiency gains but can lead to i) a larger memory footprint as in decision gates, ii) increased training complexity (e.g., with non-differentiable…

Machine Learning · Computer Science 2025-05-26 Guilherme Korol , Antonio Carlos Schneider Beck , Jeronimo Castrillon

Spatially varying directional data are routinely observed in several modern applications such as meteorology, biology, geophysics, engineering, etc. However, only a few approaches are available for covariate-dependent statistical analysis…

Applications · Statistics 2025-04-29 Zhou Lan , Arkaprava Roy

In spite of its importance, passenger demand prediction is a highly challenging problem, because the demand is simultaneously influenced by the complex interactions among many spatial and temporal factors and other external factors such as…

Machine Learning · Computer Science 2019-05-15 Xiaoyuan Liang , Guiling Wang , Martin Renqiang Min , Yi Qi , Zhu Han