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Spatial autocorrelation analysis is the basis for spatial autoregressive modeling. However, the relationships between spatial correlation coefficients and spatial regression models are not yet well clarified. The paper is devoted to explore…

Methodology · Statistics 2022-02-15 Yanguang Chen

This paper introduces a novel framework for causal inference in spatial economics that explicitly models the stochastic transition from partial to general equilibrium effects. We develop a Denoising Diffusion Probabilistic Model (DDPM)…

General Economics · Economics 2025-10-28 Tatsuru Kikuchi

Histology has long been a foundational technique for studying anatomical structures through tissue slicing. Advances in computational methods now enable three dimensional (3D) reconstruction of organs from histology images, enhancing the…

Quantitative Methods · Quantitative Biology 2025-03-05 Alessandro Ascani Orsini , Manan Bhatt , Pierce L. Perkins , Siyu Wang , Kiara N. Quinn , Kenzi Griffith , Fausto Kang , Nitish V. Thakor

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

In this manuscript, we discuss a class of difference-based estimators of the autocovariance structure in a semiparametric regression model where the signal is discontinuous and the errors are serially correlated. The signal in this model…

Statistics Theory · Mathematics 2023-11-22 Michael Levine , Inder Tecuapetla-Gomez

Most convergence guarantees for stochastic gradient descent with momentum (SGDm) rely on iid sampling. Yet, SGDm is often used outside this regime, in settings with temporally correlated input samples such as continual learning and…

Machine Learning · Computer Science 2022-03-24 Kirby Banman , Liam Peet-Pare , Nidhi Hegde , Alona Fyshe , Martha White

Nonparametric regression models with locally stationary covariates have received increasing interest in recent years. As a nice relief of "curse of dimensionality" induced by large dimension of covariates, additive regression model is…

Statistics Theory · Mathematics 2016-12-02 Lixia Hu , Tao Huang , Jinhong You

As a fundamental part of computational healthcare, Computer Tomography (CT) and Magnetic Resonance Imaging (MRI) provide volumetric data, making the development of algorithms for 3D image analysis a necessity. Despite being computationally…

Image and Video Processing · Electrical Eng. & Systems 2023-07-26 C. I. Ugwu , S. Casarin , O. Lanz

Varying coefficient models are widely used to characterize dynamic associations between longitudinal outcomes and covariates. Existing work on varying coefficient models, however, all assumes that observation times are independent of the…

Methodology · Statistics 2026-01-27 Yu Gu , Yangjianchen Xu , Peijun Sang

Models of neural networks have proven their utility in the development of learning algorithms in computer science and in the theoretical study of brain dynamics in computational neuroscience. We propose in this paper a spatial neural…

Neural and Evolutionary Computing · Computer Science 2014-05-06 Lucas Antiqueira , Liang Zhao

Image-based 3D reconstruction is one of the most important tasks in Computer Vision with many solutions proposed over the last few decades. The objective is to extract metric information i.e. the geometry of scene objects directly from…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Qiao Chen , Charalambos Poullis

We propose a Bayesian hierarchical model to simultaneously estimate mean based changepoints in spatially correlated functional time series. Unlike previous methods that assume a shared changepoint at all spatial locations or ignore spatial…

Methodology · Statistics 2022-01-11 Mengchen Wang , Trevor Harris , Bo Li

We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable robust control and estimation for a class of stochastic nonlinear systems. It uses a spectrally-normalized deep neural network to construct…

Machine Learning · Computer Science 2021-01-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

Statistical shape models (SSMs) are state-of-the-art medical image analysis tools for extracting and explaining features across a set of biological structures. However, a principled and robust way to combine shape and pose features has been…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Jean-Rassaire Fouefack , Bhushan Borotikar , Tania S. Douglas , Valérie Burdin , Tinashe E. M. Mutsvangwa

Variable-rate mechanism has improved the flexibility and efficiency of learning-based image compression that trains multiple models for different rate-distortion tradeoffs. One of the most common approaches for variable-rate is to…

Image and Video Processing · Electrical Eng. & Systems 2023-03-17 Jiaming Liang , Meiqin Liu , Chao Yao , Chunyu Lin , Yao Zhao

This study develops a spatial additive mixed modeling (AMM) approach estimating spatial and non-spatial effects from large samples, such as millions of observations. Although fast AMM approaches are already well-established, they are…

Methodology · Statistics 2019-10-15 Daisuke Murakami , Daniel A. Griffith

Scaling up model and data size have demonstrated impressive performance improvement over a wide range of tasks. Despite extensive studies on scaling behaviors for general-purpose tasks, medical images exhibit substantial differences from…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Jiarun Liu , Hong-Yu Zhou , Weijian Huang , Hao Yang , Dongning Song , Tao Tan , Yong Liang , Shanshan Wang

This paper considers a novel problem, bi-level graphical modeling, in which multiple individual graphical models can be considered as variants of a common group-level graphical model and inference of both the group- and individual-level…

Methodology · Statistics 2021-08-12 Lin Zhang , Andrew DiLernia , Karina Quevedo , Jazmin Camchong , Kelvin Lim , Wei Pan1

Existing Mamba-based approaches in remote sensing change detection have enhanced scanning models, yet remain limited by their inability to capture long-range dependencies between image channels effectively, which restricts their feature…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Rui Huang , Jincheng Zeng , Sen Gao , Yan Xing

The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

Methodology · Statistics 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao