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We propose a new modeling framework for highly-multivariate spatial processes that synthesizes ideas from recent multiscale and spectral approaches with graphical models. The basis graphical lasso writes a univariate Gaussian process as a…

Methodology · Statistics 2024-07-08 Mitchell Krock , William Kleiber , Dorit Hammerling , Stephen Becker

Regression is an important task in machine learning and data mining. It has several applications in various domains, including finance, biomedical, and computer vision. Recently, network Lasso, which estimates local models by making…

Machine Learning · Computer Science 2020-03-13 Mathis Petrovich , Makoto Yamada

Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can play a crucial role in powering meaningful scientific discoveries through the understanding…

Methodology · Statistics 2016-06-14 Zhao Ren , Yongjian Kang , Yingying Fan , Jinchi Lv

We develop a novel framework for sparse multiscale kernel approximation of large scattered data problems based on a samplet representation. Samplets form a multiresolution analysis of localized discrete signed measures and enable…

Numerical Analysis · Mathematics 2026-04-03 Sara Avesani , Gaia Fumagalli , Michael Multerer , Chiara Segala

Argo floats measure seawater temperature and salinity in the upper 2,000 m of the global ocean. Statistical analysis of the resulting spatio-temporal dataset is challenging due to its nonstationary structure and large size. We propose…

Applications · Statistics 2018-12-31 Mikael Kuusela , Michael L. Stein

Fused Lasso was proposed to characterize the sparsity of the coefficients and the sparsity of their successive differences for the linear regression. Due to its wide applications, there are many existing algorithms to solve fused Lasso.…

Computation · Statistics 2024-04-17 Pan Shang , Huangyue Chen , Lingchen Kong

This paper introduces a novel tree-based model, Learning Hyperplane Tree (LHT), which outperforms state-of-the-art (SOTA) tree models for classification tasks on several public datasets. The structure of LHT is simple and efficient: it…

Machine Learning · Computer Science 2025-01-16 Hongyi Li , Jun Xu , William Ward Armstrong

This paper introduces a prognostic method called FLASH that addresses the problem of joint modelling of longitudinal data and censored durations when a large number of both longitudinal and time-independent features are available. In the…

Pedestrian detection is a critical task in robot perception. Multispectral modalities (visible light and thermal) can boost pedestrian detection performance by providing complementary visual information. Several gaps remain with…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Asiegbu Miracle Kanu-Asiegbu , Nitin Jotwani , Xiaoxiao Du

We propose a spatio-temporal data-fusion framework for point data and gridded data with variables observed on different spatial supports. A latent Gaussian field with a Mat\'ern-SPDE prior provides a continuous space representation, while…

Methodology · Statistics 2025-11-19 Weiyue Zheng , Andrew Elliott , Claire Miller , Marian Scott

We study clustered multitask learning in a semiparametric setting where tasks share a latent cluster structure in their target parameters but exhibit heterogeneous, potentially infinite-dimensional nuisance components. Such heterogeneity…

Machine Learning · Statistics 2026-05-05 Hanxiao Chen , Debarghya Mukherjee

The detection and tracking of celestial surface terrain features are crucial for autonomous spaceflight applications, including Terrain Relative Navigation (TRN), Entry, Descent, and Landing (EDL), hazard analysis, and scientific data…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Timothy Chase , Karthik Dantu

Estimating the conditional mean function is a central task in statistical learning. In this paper, we consider estimation and inference for a nonparametric class of real-valued cadlag functions with bounded sectional variation (Gill et al.,…

Methodology · Statistics 2025-10-17 Wenxin Zhang , Junming Shi , Alan Hubbard , Mark van der Laan

We propose Lite-STGNN, a lightweight spatial-temporal graph neural network for long-term multivariate forecasting that integrates decomposition-based temporal modeling with learnable sparse graph structure. The temporal module applies…

Machine Learning · Computer Science 2025-12-22 Henok Tenaw Moges , Deshendran Moodley

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

Methodology · Statistics 2025-08-13 Kun Huang , Huiyan Sang

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

Machine Learning · Computer Science 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

Multivariate adaptive regression splines (MARS) is a popular method for nonparametric regression introduced by Friedman in 1991. MARS fits simple nonlinear and non-additive functions to regression data. We propose and study a natural lasso…

Statistics Theory · Mathematics 2024-10-15 Dohyeong Ki , Billy Fang , Adityanand Guntuboyina

The increasing availability of highly resolved spatio-temporal data leads to new opportunities as well as challenges in many scientific disciplines such as climatology, ecology or epidemiology. This allows more detailed insights into the…

Data Analysis, Statistics and Probability · Physics 2024-01-22 Maik Riedl , Norbert Marwan , Jürgen Kurths

In high dimensional settings, sparse structures are crucial for efficiency, both in term of memory, computation and performance. It is customary to consider $\ell_1$ penalty to enforce sparsity in such scenarios. Sparsity enforcing methods,…

Machine Learning · Statistics 2017-11-22 Eugene Ndiaye , Olivier Fercoq , Alexandre Gramfort , Vincent Leclère , Joseph Salmon

Accurately estimating data density is crucial for making informed decisions and modeling in various fields. This paper presents a novel nonparametric density estimation procedure that utilizes bivariate penalized spline smoothing over…

Methodology · Statistics 2024-10-29 Kunal Das , Shan Yu , Guannan Wang , Li Wang