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We propose a novel spatially-correlative loss that is simple, efficient and yet effective for preserving scene structure consistency while supporting large appearance changes during unpaired image-to-image (I2I) translation. Previous…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Chuanxia Zheng , Tat-Jen Cham , Jianfei Cai

Stationarity is a very common assumption in time series analysis. A vector autoregressive process is stationary if and only if the roots of its characteristic equation lie outside the unit circle, constraining the autoregressive coefficient…

Methodology · Statistics 2022-05-18 Sarah E. Heaps

Spatial models for areal data are often constructed such that all pairs of adjacent regions are assumed to have near-identical spatial autocorrelation. In practice, data can exhibit dependence structures more complicated than can be…

Methodology · Statistics 2024-07-04 Michael F. Christensen , Peter D. Hoff

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

Machine Learning · Computer Science 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

Multivariate spatio-temporal data arise more and more frequently in a wide range of applications; however, there are relatively few general statistical methods that can readily use that incorporate spatial, temporal and variable…

Methodology · Statistics 2017-11-15 Elynn Yi Chen , Qiwei Yao , Rong Chen

Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

We develop a methodology to use the redshift dependence of the galaxy 2-point correlation function (2pCF) across the line-of-sight, $\xi(r_{\bot})$, as a probe of cosmological parameters. The positions of galaxies in comoving Cartesian…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-02 Xiao-Dong Li , Changbom Park , Cristiano G. Sabiu , Hyunbae Park , Cheng Cheng , Juhan Kim , Sungwook E. Hong

Spatio-temporal areal data can be seen as a collection of time series which are spatially correlated according to a specific neighboring structure. Incorporating the temporal and spatial dimension into a statistical model poses challenges…

This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models…

Methodology · Statistics 2019-03-05 Michael Genin , Mohamed-Salem Ahmed

Most computational accounts of cognitive maps assume that stability is achieved primarily through sensory anchoring, with self-motion contributing to incremental positional updates only. However, biological spatial representations often…

Neurons and Cognition · Quantitative Biology 2025-12-24 Yingchao Yu , Pengfei Sun , Yaochu Jin , Kuangrong Hao , Hao Zhang , Yifeng Zhang , Wenxuan Pan , Wei Chen , Danyal Akarca , Yuchen Xiao

An important aspect of modeling spatially-referenced data is appropriately specifying the covariance function of the random field. A practitioner working with spatial data is presented a number of choices regarding the structure of the…

Methodology · Statistics 2015-11-06 Zachary D. Weller , Jennifer A. Hoeting

By means of Metropolis Monte Carlo simulations of a coarse-grained model for flexible polymers, we investigate how the integrated autocorrelation times of different energetic and structural quantities depend on the temperature. We show…

Computational Physics · Physics 2014-08-19 Kai Qi , Michael Bachmann

Feature-based geo-localization relies on associating features extracted from aerial imagery with those detected by the vehicle's sensors. This requires that the type of landmarks must be observable from both sources. This lack of variety of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Miguel Ángel Muñoz-Bañón , Alejandro Olivas , Edison Velasco-Sánchez , Francisco A. Candelas , Fernando Torres

We propose {\delta}-MAPS, a method that analyzes spatio-temporal data to first identify the distinct spatial components of the underlying system, referred to as "domains", and second to infer the connections between them. A domain is a…

Other Computer Science · Computer Science 2016-09-27 Ilias Fountalis , Annalisa Bracco , Bistra Dilkina , Constantine Dovrolis , Shella Keilholz

The Morse-Smale complex of a function $f$ decomposes the sample space into cells where $f$ is increasing or decreasing. When applied to nonparametric density estimation and regression, it provides a way to represent, visualize, and compare…

Statistics Theory · Mathematics 2017-04-05 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

We consider spatially dependent functional data collected under a geostatistics setting, where locations are sampled from a spatial point process. The functional response is the sum of a spatially dependent functional effect and a spatially…

Methodology · Statistics 2021-06-18 Haozhe Zhang , Yehua Li

In this paper, we propose a novel Spatial Balance Attention block for spatiotemporal forecasting. To strike a balance between obeying spatial proximity and capturing global correlation, we partition the spatial graph into a set of subgraphs…

Machine Learning · Computer Science 2025-09-24 Hongyi Chen , Xiucheng Li , Xinyang Chen , Jing Li , Kehai Chen , Liqiang Nie

Analyzing ecological data often requires modeling the autocorrelation created by spatial and temporal processes. Many of the statistical methods used to account for autocorrelation can be viewed as regression models that include basis…

When modeling geo-spatial data, it is critical to capture spatial correlations for achieving high accuracy. Spatial Auto-Regression (SAR) is a common tool used to model such data, where the spatial contiguity matrix (W) encodes the spatial…

Computer Vision and Pattern Recognition · Computer Science 2016-10-18 Archith J. Bency , Swati Rallapalli , Raghu K. Ganti , Mudhakar Srivatsa , B. S. Manjunath

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton