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In this paper, we challenge the common assumption that collapsing the spatial dimensions of a 3D (spatial-channel) tensor in a convolutional neural network (CNN) into a vector via global pooling removes all spatial information.…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Md Amirul Islam , Matthew Kowal , Sen Jia , Konstantinos G. Derpanis , Neil D. B. Bruce

Objective: Improve the reconstructed image with fast and multi-class dictionaries learning when magnetic resonance imaging is accelerated by undersampling the k-space data. Methods: A fast orthogonal dictionary learning method is introduced…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Zhifang Zhan , Jian-Feng Cai , Di Guo , Yunsong Liu , Zhong Chen , Xiaobo Qu

The modeling of high-dimensional spatio-temporal processes presents a fundamental dichotomy between the probabilistic rigor of classical geostatistics and the flexible, high-capacity representations of deep learning. While Gaussian…

Machine Learning · Computer Science 2025-12-22 Yuri Calleo

This paper focuses on visual motion-based invariants that result in a representation of 3D points in which the stationary environment remains invariant, ensuring shape constancy. This is achieved even as the images undergo constant change…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Juan D. Yepes , Daniel Raviv

Attentional mechanisms are order-invariant. Positional encoding is a crucial component to allow attention-based deep model architectures such as Transformer to address sequences or images where the position of information matters. In this…

Machine Learning · Computer Science 2021-11-10 Yang Li , Si Si , Gang Li , Cho-Jui Hsieh , Samy Bengio

Stationary stochastic processes (SPs) are a key component of many probabilistic models, such as those for off-the-grid spatio-temporal data. They enable the statistical symmetry of underlying physical phenomena to be leveraged, thereby…

Spatial-temporal data modeling aims to mine the underlying spatial relationships and temporal dependencies of objects in a system. However, most existing methods focus on the modeling of spatial-temporal data in a single mode, lacking the…

Machine Learning · Computer Science 2023-08-23 Zihang Liu , Le Yu , Tongyu Zhu , Leiei Sun

A complex system comprises multiple interacting entities whose interdependencies form a unified whole, exhibiting emergent behaviours not present in individual components. Examples include the human brain, living cells, soft matter, Earth's…

Spatially dense self-supervised learning is a rapidly growing problem domain with promising applications for unsupervised segmentation and pretraining for dense downstream tasks. Despite the abundance of temporal data in the form of videos,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Mohammadreza Salehi , Efstratios Gavves , Cees G. M. Snoek , Yuki M. Asano

Although spatio-temporal graph neural networks have achieved great empirical success in handling multiple correlated time series, they may be impractical in some real-world scenarios due to a lack of sufficient high-quality training data.…

Signal Processing · Electrical Eng. & Systems 2021-02-10 Chao Pan , Siheng Chen , Antonio Ortega

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

Machine learning methods can be unreliable when deployed in domains that differ from the domains on which they were trained. There are a wide range of proposals for mitigating this problem by learning representations that are ``invariant''…

Machine Learning · Statistics 2023-02-09 Zihao Wang , Victor Veitch

Embedding learning, a.k.a. representation learning, has been shown to be able to model large-scale semantic knowledge graphs. A key concept is a mapping of the knowledge graph to a tensor representation whose entries are predicted by models…

Artificial Intelligence · Computer Science 2016-05-10 Volker Tresp , Cristóbal Esteban , Yinchong Yang , Stephan Baier , Denis Krompaß

This paper proposes a novel memory-based online video representation that is efficient, accurate and predictive. This is in contrast to prior works that often rely on computationally heavy 3D convolutions, ignore actual motion when aligning…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Tuan-Hung Vu , Wongun Choi , Samuel Schulter , Manmohan Chandraker

Spatial-temporal prediction is a fundamental problem for constructing smart city, which is useful for tasks such as traffic control, taxi dispatching, and environmental policy making. Due to data collection mechanism, it is common to see…

Machine Learning · Computer Science 2020-08-25 Huaxiu Yao , Yiding Liu , Ying Wei , Xianfeng Tang , Zhenhui Li

Feature extraction with convolutional neural networks (CNNs) is a popular method to represent images for machine learning tasks. These representations seek to capture global image content, and ideally should be independent of geometric…

Machine Learning · Computer Science 2022-03-03 Jake Lee , Junfeng Yang , Zhangyang Wang

Consider a set of n images of a scene with dynamic objects captured with a static or a handheld camera. Let the temporal order in which these images are captured be unknown. There can be n! possibilities for the temporal order in which…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Gagan Kanojia , Shanmuganathan Raman

Quantum technologies offer a promising route to the efficient sampling and analysis of stochastic processes, with potential applications across the sciences. Such quantum advantages rely on the preparation of a quantum sample state of the…

Quantum Physics · Physics 2024-04-17 Chengran Yang , Marta Florido-Llin`as , Mile Gu , Thomas J. Elliott

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

On the long-established classification problems in general relativity we take a novel perspective by adopting fruitful techniques from machine learning and modern data-science. In particular, we model Petrov's classification of spacetimes,…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Yang-Hui He , Juan Manuel Pérez Ipiña