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Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

This paper presents an experimental study on the application of quaternions in several machine learning algorithms. Quaternion is a mathematical representation of rotation in three-dimensional space, which can be used to represent complex…

Machine Learning · Computer Science 2023-08-07 Tianlei Zhu , Renzhe Zhu

This work aims to estimate 6Dof (6D) object pose in background clutter. Considering the strong occlusion and background noise, we propose to utilize the spatial structure for better tackling this challenging task. Observing that the 3D mesh…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Jianhan Mei , Xudong Jiang , Henghui Ding

The abundance of multimodal data (e.g. social media posts) has inspired interest in cross-modal retrieval methods. Popular approaches rely on a variety of metric learning losses, which prescribe what the proximity of image and text should…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Christopher Thomas , Adriana Kovashka

Temporal information has long been considered to be essential for perception. While there is extensive research on the role of image information for perceptual tasks, the role of the temporal dimension remains less well understood: What can…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Willem Davison , Xinyue Hao , Laura Sevilla-Lara

Latent traversal is a popular approach to visualize the disentangled latent representations. Given a bunch of variations in a single unit of the latent representation, it is expected that there is a change in a single factor of variation of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Xinqi Zhu , Chang Xu , Dacheng Tao

Near-term prediction of the structured spatio-temporal processes driving our climate is of profound importance to the safety and well-being of millions, but the prounced nonlinear convection of these processes make a complete mechanistic…

Computational Physics · Physics 2020-06-30 Daniel J. Tait

This paper presents a novel fast machine learning method that leverages two techniques: Vector Embedding on Orthonormal Basis (VEOB) and Spectral Transform (ST). The VEOB converts the original data encoding into a vector embedding with…

Machine Learning · Computer Science 2023-11-14 Louis Yu Lu

Efficient representations of multivariate functions are critical for the design of state-of-the-art methods of data restoration and image reconstruction. In this work, we consider the representation of spatio-temporal data such as temporal…

Functional Analysis · Mathematics 2023-09-20 Tatiana A. Bubba , Glenn Easley , Tommi Heikkilä , Demetrio Labate , Jose P. Rodriguez Ayllon

Popular representation learning methods encourage feature invariance under transformations applied at the input. However, in 3D perception tasks like object localization and segmentation, outputs are naturally equivariant to some…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Deepti Hegde , Suhas Lohit , Kuan-Chuan Peng , Michael J. Jones , Vishal M. Patel

In this paper, we evaluate dimensionality reduction methods in terms of difficulty in estimating visual information on original images from dimensionally reduced ones. Recently, dimensionality reduction has been receiving attention as the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Masaki Kitayama , Hitoshi Kiya

Stochastic partial differential equations can be used to model second order thermodynamical phase transitions, as well as a number of critical out-of-equilibrium phenomena. In (2+1) dimensions, many of these systems are conjectured (and…

Statistical Mechanics · Physics 2013-05-29 L. Moriconi , M. Moriconi

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

Machine Learning · Statistics 2016-07-13 Andreas Loukas , Nathanael Perraudin

The spectacular results achieved in machine learning, including the recent advances in generative AI, rely on large data collections. On the opposite, intelligent processes in nature arises without the need for such collections, but simply…

Machine Learning · Computer Science 2024-02-12 Alessandro Betti , Marco Gori

Convolutional networks are the de-facto standard for analyzing spatio-temporal data such as images, videos, and 3D shapes. Whilst some of this data is naturally dense (e.g., photos), many other data sources are inherently sparse. Examples…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Benjamin Graham , Martin Engelcke , Laurens van der Maaten

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

Methodology · Statistics 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Recognizing spatial relations and reasoning about them is essential in multiple applications including navigation, direction giving and human-computer interaction in general. Spatial relations between objects can either be explicit --…

Computation and Language · Computer Science 2020-07-21 Soham Dan , Hangfeng He , Dan Roth

Video anomaly detection is a challenging task because most anomalies are scarce and non-deterministic. Many approaches investigate the reconstruction difference between normal and abnormal patterns, but neglect that anomalies do not…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Guodong Shen , Yuqi Ouyang , Victor Sanchez

With advancements in GPS, remote sensing, and computational simulation, an enormous volume of spatiotemporal data is being collected at an increasing speed from various application domains, spanning Earth sciences, agriculture, smart…

Machine Learning · Computer Science 2023-11-01 Zhe Jiang

Predictive learning uses a known state to generate a future state over a period of time. It is a challenging task to predict spatiotemporal sequence because the spatiotemporal sequence varies both in time and space. The mainstream method is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Haoyu Pan , Hao Wu , Tan Yang
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