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A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lifting and relaxation strategies, the proposed approach is…

Optimization and Control · Mathematics 2018-12-10 Antonin Chambolle , Martin Holler Thomas Pock

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

We propose an off-line approach to explicitly encode temporal patterns spatially as different types of images, namely, Gramian Angular Fields and Markov Transition Fields. This enables the use of techniques from computer vision for feature…

Machine Learning · Computer Science 2015-09-25 Zhiguang Wang , Tim Oates

Convolutional Neural Networks (CNNs) are extremely efficient, since they exploit the inherent translation-invariance of natural images. However, translation is just one of a myriad of useful spatial transformations. Can the same efficiency…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 João F. Henriques , Andrea Vedaldi

Standard random projection techniques typically operate as a black box, mapping high-dimensional structures directly to a lower-dimensional space where the target dimension must be specified a \textit{priori}. To address scenarios where the…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Nazanin Mirhosseini

High-dimensional representations for words, text, images, knowledge graphs and other structured data are commonly used in different paradigms of machine learning and data mining. These representations have different degrees of…

Computation and Language · Computer Science 2020-11-26 Sunipa Dev

Until quite recently, the backbone of nearly every state-of-the-art computer vision model has been the 2D convolution. At its core, a 2D convolution simultaneously mixes information across both the spatial and channel dimensions of a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 George Cazenavette , Joel Julin , Simon Lucey

Learning invariant representations from images is one of the hardest challenges facing computer vision. Spatial pooling is widely used to create invariance to spatial shifting, but it is restricted to convolutional models. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2013-03-19 Sainbayar Sukhbaatar , Takaki Makino , Kazuyuki Aihara

Many problems in machine learning involve calculating correspondences between sets of objects, such as point clouds or images. Discrete optimal transport provides a natural and successful approach to such tasks whenever the two sets of…

Machine Learning · Statistics 2019-02-28 David Alvarez-Melis , Stefanie Jegelka , Tommi S. Jaakkola

The social and economic importance of large bodies of programs and data that are potentially long-lived has attracted much attention in the commercial and research communities. Here we concentrate on a set of methodologies and technologies…

Programming Languages · Computer Science 2010-06-18 Alan Dearle , Graham Kirby , Ron Morrison

There exists a correlation between geospatial activity temporal patterns and type of land use. A novel self-supervised approach is proposed to stratify landscape based on mobility activity time series. First, the time series signal is…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Yi Cao , Swetava Ganguli , Vipul Pandey

Spatiotemporal data analysis is pivotal across various domains, such as transportation, meteorology, and healthcare. The data collected in real-world scenarios are often incomplete due to device malfunctions and network errors.…

Machine Learning · Computer Science 2024-03-25 Yakun Chen , Kaize Shi , Zhangkai Wu , Juan Chen , Xianzhi Wang , Julian McAuley , Guandong Xu , Shui Yu

Modeling data as being sampled from a union of independent subspaces has been widely applied to a number of real world applications. However, dimensionality reduction approaches that theoretically preserve this independence assumption have…

Machine Learning · Computer Science 2016-04-08 Devansh Arpit , Ifeoma Nwogu , Venu Govindaraju

Large volumes of spatio-temporal data are increasingly collected and studied in diverse domains including, climate science, social sciences, neuroscience, epidemiology, transportation, mobile health, and Earth sciences. Spatio-temporal data…

Machine Learning · Computer Science 2017-11-20 Gowtham Atluri , Anuj Karpatne , Vipin Kumar

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

Machine Learning · Computer Science 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

Biological memory solves a problem that eludes current AI: storing specific episodic facts without corrupting general semantic knowledge. Complementary Learning Systems theory explains this through two subsystems - a fast hippocampal system…

Neurons and Cognition · Quantitative Biology 2026-02-05 Oliver Zahn , Matt Beton , Simran Chana

We propose a convolutional recurrent neural network, with Winner-Take-All dropout for high dimensional unsupervised feature learning in multi-dimensional time series. We apply the proposedmethod for object recognition with temporal context…

Machine Learning · Computer Science 2017-03-16 Eder Santana , Matthew Emigh , Pablo Zegers , Jose C Principe

Features in machine learning problems are often time-varying and may be related to outputs in an algebraic or dynamical manner. The dynamic nature of these machine learning problems renders current higher order accelerated gradient descent…

Optimization and Control · Mathematics 2019-05-29 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender

Convolution is spatially-symmetric, i.e., the visual features are independent of its position in the image, which limits its ability to utilize contextual cues for visual recognition. This paper addresses this issue by introducing a…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Yan Wang , Lingxi Xie , Siyuan Qiao , Ya Zhang , Wenjun Zhang , Alan L. Yuille

This paper proposes a novel perspective on learning, positing it as the pursuit of dynamical invariants -- data combinations that remain constant or exhibit minimal change over time as a system evolves. This concept is underpinned by both…

Artificial Intelligence · Computer Science 2024-01-22 Alex Ushveridze