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A new version of the partial autocorrelation plot and a new family of subset autoregressive models are introduced. A comprehensive approach to model identification, estimation and diagnostic checking is developed for these models. These…

Statistics Theory · Mathematics 2016-11-07 A. Ian McLeod , Ying Zhang

Multi-view learning is frequently used in data science. The pairwise correlation maximization is a classical approach for exploring the consensus of multiple views. Since the pairwise correlation is inherent for two views, the extensions to…

Machine Learning · Computer Science 2022-01-31 Jiawang Nie , Li Wang , Zequn Zheng

This paper addresses an ill-posed problem of recovering a color image from its compressively sensed measurement data. Differently from the typical 1D vector-based approach of the state-of-the-art methods, we exploit the nonlocal…

Image and Video Processing · Electrical Eng. & Systems 2017-11-28 Khanh Quoc Dinh , Thuong Nguyen Canh , Byeungwoo Jeon

Proton radiography is a technique extensively used to resolve magnetic field structures in high energy density plasmas, revealing a whole variety of interesting phenomena such as magnetic reconnection and collisionless shocks found in…

X-ray tomography is a reliable tool for determining the inner structure of 3D object with penetrating X-rays. However, traditional reconstruction methods such as FDK require dense angular sampling in the data acquisition phase leading to…

Systematicity, i.e., the ability to recombine known parts and rules to form new sequences while reasoning over relational data, is critical to machine intelligence. A model with strong systematicity is able to train on small-scale tasks and…

Artificial Intelligence · Computer Science 2022-05-16 Shengyao Lu , Bang Liu , Keith G. Mills , Shangling Jui , Di Niu

Occluded person re-identification (ReID) aims to match occluded person images to holistic ones across dis-joint cameras. In this paper, we propose a novel framework by learning high-order relation and topology information for discriminative…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Guan'an Wang , Shuo Yang , Huanyu Liu , Zhicheng Wang , Yang Yang , Shuliang Wang , Gang Yu , Erjin Zhou , Jian Sun

Geometric relational embeddings map relational data as geometric objects that combine vector information suitable for machine learning and structured/relational information for structured/relational reasoning, typically in low dimensions.…

Artificial Intelligence · Computer Science 2023-04-25 Bo Xiong , Mojtaba Nayyeri , Ming Jin , Yunjie He , Michael Cochez , Shirui Pan , Steffen Staab

Higher-order network analysis uses the ideas of hypergraphs, simplicial complexes, multilinear and tensor algebra, and more, to study complex systems. These are by now well established mathematical abstractions. What's new is that the ideas…

Social and Information Networks · Computer Science 2021-03-10 Austin R. Benson , David F. Gleich , Desmond J. Higham

This paper explores the challenge of teaching a machine how to reverse-engineer the grid-marked surfaces used to represent data in 3D surface plots of two-variable functions. These are common in scientific and economic publications; and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Laura E. Brandt , William T. Freeman

Higher-order information is crucial for relational learning in many domains where relationships extend beyond pairwise interactions. Hypergraphs provide a natural framework for modeling such relationships, which has motivated recent…

Machine Learning · Computer Science 2025-02-21 Raphael Pellegrin , Lukas Fesser , Melanie Weber

Graph Neural Networks (GNNs) are a popular approach for predicting graph structured data. As GNNs tightly entangle the input graph into the neural network structure, common explainable AI approaches are not applicable. To a large extent,…

Applying convolutional neural networks to large images is computationally expensive because the amount of computation scales linearly with the number of image pixels. We present a novel recurrent neural network model that is capable of…

Machine Learning · Computer Science 2014-06-25 Volodymyr Mnih , Nicolas Heess , Alex Graves , Koray Kavukcuoglu

We consider the two-dimensional multi-target detection problem of recovering a target image from a noisy measurement that contains multiple copies of the image, each randomly rotated and translated. Motivated by the structure reconstruction…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Shay Kreymer , Tamir Bendory

We present a novel approach to neural response prediction that incorporates higher-order operations directly within convolutional neural networks (CNNs). Our model extends traditional 3D CNNs by embedding higher-order operations within the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Simone Azeglio , Victor Calbiague Garcia , Guilhem Glaziou , Peter Neri , Olivier Marre , Ulisse Ferrari

A method is presented to automatically generate context models of data by calculating the data's autocorrelation function. The largest values of the autocorrelation function occur at the offsets or lags in the bitstream which tend to be the…

Information Theory · Computer Science 2013-06-11 John Scoville

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

By taking into account the properties and limitations of the human visual system, images can be more efficiently compressed, colors more accurately reproduced, prints better rendered. To show all these advantages in this paper new adapted…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Jaswinder Singh Dilawari , Ravinder Khanna

Many topological data analysis (TDA) pipelines compute large collections of persistence diagrams, yet vectorizations and kernel methods discard the rank-induced implication relations among persistence intervals that are essential for…

Computational Geometry · Computer Science 2026-05-12 Charles Fanning , Mehmet Aktas

We consider the problem of recovering a set of correlated signals (e.g., images from different viewpoints) from a few linear measurements per signal. We assume that each sensor in a network acquires a compressed signal in the form of linear…

Networking and Internet Architecture · Computer Science 2015-03-19 Alhussein Fawzi , Tamara Tosic , Pascal Frossard