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We develop a language for describing the relationship among observations, mathematical models, and the underlying principles from which they are derived. Using Information Geometry, we consider geometric properties of statistical models for…

Data Analysis, Statistics and Probability · Physics 2016-07-14 Mark K. Transtrum , Gus Hart , Peng Qiu

Nowadays, supervised learning is commonly used in many domains. Indeed, many works propose to learn new knowledge from examples that translate the expected behaviour of the considered system. A key issue of supervised learning concerns the…

Machine Learning · Computer Science 2012-04-20 Patrick Taillandier , Alexis Drogoul

As an important part of intelligent transportation systems, traffic forecasting has attracted tremendous attention from academia and industry. Despite a lot of methods being proposed for traffic forecasting, it is still difficult to model…

Machine Learning · Computer Science 2022-10-07 Le Zhao , Mingcai Chen , Yuntao Du , Haiyang Yang , Chongjun Wang

While transformers have pioneered attention-driven architectures as a cornerstone of language modeling, their dependence on explicitly contextual information underscores limitations in their abilities to tacitly learn overarching textual…

Computation and Language · Computer Science 2024-01-17 Nick DiSanto , Anthony Corso , Benjamin Sanders , Gavin Harding

Geographically weighted regression (GWR) models handle geographical dependence through a spatially varying coefficient model and have been widely used in applied science, but its general Bayesian extension is unclear because it involves a…

Methodology · Statistics 2026-03-18 Yang Liu , Robert J. B. Goudie

Most machine learning models operate under the assumption that the training, testing and deployment data is independent and identically distributed (i.i.d.). This assumption doesn't generally hold true in a natural setting. Usually, the…

Machine Learning · Computer Science 2021-12-14 Kumud Lakara , Akshat Bhandari , Pratinav Seth , Ujjwal Verma

Satellite imagery and remote sensing provide explanatory variables at relatively high resolutions for modeling geospatial phenomena, yet regional summaries are often desirable for analysis and actionable insight. In this paper, we propose a…

Machine Learning · Statistics 2017-12-15 Sam Kriegman , Marcin Szubert , Josh C. Bongard , Christian Skalka

This project uses a spatial model (Geographically Weighted Regression) to relate various physical and social features to crime rates. Besides making interesting predictions from basic data statistics, the trained model can be used to…

Machine learning in remote sensing has matured alongside a proliferation in availability and resolution of geospatial imagery, but its utility is bottlenecked by the need for labeled data. What's more, many labeled geospatial datasets are…

Machine Learning · Computer Science 2021-07-15 Jack Lynch , Sam Wookey

With the increasing popularity of location-based social media applications and devices that automatically tag generated content with locations, large repositories of collaborative geo-referenced data are appearing on-line. Efficiently…

Information Retrieval · Computer Science 2012-04-09 Leandro Balby Marinho , Cláudio de Souza Baptista , Thomas Sandholm , Iury Nunes , Caio Nóbrega , Jordão Araújo

Spatio-temporal forecasting is challenging attributing to the high nonlinearity in temporal dynamics as well as complex location-characterized patterns in spatial domains, especially in fields like weather forecasting. Graph convolutions…

Machine Learning · Computer Science 2021-12-14 Haitao Lin , Zhangyang Gao , Yongjie Xu , Lirong Wu , Ling Li , Stan. Z. Li

Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

Statistics Theory · Mathematics 2012-05-14 Peter M. Robinson

Statistical prediction models are often trained on data from different probability distributions than their eventual use cases. One approach to proactively prepare for these shifts harnesses the intuition that causal mechanisms should…

Machine Learning · Computer Science 2023-08-02 Bijan Mazaheri , Atalanti Mastakouri , Dominik Janzing , Michaela Hardt

The manifold of empirical mean values of statistical data ad infinitum has a geometric shape that depends on the probability measure that governs the generating model. Large deviation theory produces entropy functions that depend on both…

Information Theory · Computer Science 2026-05-07 Viswa Virinchi Muppirala , Hong Qian

Spatial data are often derived from multiple sources (e.g. satellites, in-situ sensors, survey samples) with different supports, but associated with the same properties of a spatial phenomenon of interest. It is common for predictors to…

Models with dimension more than the available sample size are now commonly used in various applications. A sensible inference is possible using a lower-dimensional structure. In regression problems with a large number of predictors, the…

Statistics Theory · Mathematics 2025-11-25 Sayantan Banerjee , Ismaël Castillo , Subhashis Ghosal

Model-based geostatistics (MBG) is a subfield of spatial statistics focused on predicting spatially continuous phenomena using data collected at discrete locations. Geostatistical models often rely on the assumptions of stationarity and…

Methodology · Statistics 2024-12-13 Olatunji Johnson , Bedilu A Ejigu , Ezra Gayawan

Social influence cannot be identified from purely observational data on social networks, because such influence is generically confounded with latent homophily, i.e., with a node's network partners being informative about the node's…

Methodology · Statistics 2025-01-07 Edward McFowland , Cosma Rohilla Shalizi

As unconventional sources of geo-information, massive imagery and text messages from open platforms and social media form a temporally quasi-seamless, spatially multi-perspective stream, but with unknown and diverse quality. Due to its…

We present GeoGrid-Bench, a benchmark designed to evaluate the ability of foundation models to understand geo-spatial data in the grid structure. Geo-spatial datasets pose distinct challenges due to their dense numerical values, strong…

Computation and Language · Computer Science 2025-05-27 Bowen Jiang , Yangxinyu Xie , Xiaomeng Wang , Jiashu He , Joshua Bergerson , John K Hutchison , Jordan Branham , Camillo J Taylor , Tanwi Mallick