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Tensor data with rich structural information becomes increasingly important in process modeling, monitoring, and diagnosis. Here structural information is referred to structural properties such as sparsity, smoothness, low-rank, and…

Machine Learning · Statistics 2024-10-30 Shancong Mou , Andi Wang , Chuck Zhang , Jianjun Shi

Based on realistic simulations, we propose an hybrid method to reconstruct the lensing potential power spectrum, directly on PLANCK-like CMB frequency maps. It implies using a large galactic mask and dealing with a strong inhomogeneous…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 S. Plaszczynski , A. Lavabre , L. Perotto , J. -L. Starck

We present a novel tensor interpolation algorithm for the time integration of nonlinear tensor differential equations (TDEs) on the tensor train and Tucker tensor low-rank manifolds, which are the building blocks of many tensor network…

Numerical Analysis · Mathematics 2024-06-12 Behzad Ghahremani , Hessam Babaee

Over the past decade, decision diagrams (DDs) have been used to model and solve integer programming and combinatorial optimization problems. Despite successful performance of DDs in solving various discrete optimization problems, their…

Optimization and Control · Mathematics 2024-03-27 Hosseinali Salemi , Danial Davarnia

There has been a growing interest in wideband spectrum sensing due to its applications in cognitive radios and electronic surveillance. To overcome the sampling rate bottleneck for wideband spectrum sensing, in this paper, we study the…

Information Theory · Computer Science 2019-10-17 Linxiao Yang , Jun Fang , Huiping Duan , Hongbin Li

In this paper, we consider the problem of iterative detection and decoding (IDD) for multi-antenna systems using low-density parity-check (LDPC) codes. The proposed IDD system consists of a soft-input soft-output parallel interference (PIC)…

Information Theory · Computer Science 2013-04-24 Jingjing Liu , Peng Li , Rodrigo C. de Lamare

In this paper, we propose a computationally efficient iterative algorithm for proper orthogonal decomposition (POD) using random sampling based techniques. In this algorithm, additional rows and columns are sampled and a merging technique…

Numerical Analysis · Mathematics 2020-11-23 Charumathi V , M. Ramakrishna , Vinita Vasudevan

In this paper, we propose a computationally efficient iterative algorithm for proper orthogonal decomposition (POD) using random sampling based techniques. In this algorithm, additional rows and columns are sampled and a merging technique…

Numerical Analysis · Computer Science 2021-07-07 V. Charumathi , M. Ramakrishna , Vinita Vasudevan

The proposed method introduces a parameter determination approach based on the minimum Fractal box dimension (FBD) of Variational Mode Decomposition (VMD) components, aiming to address the issue of manual determination of VMD decomposition…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Pei Yuhang , Yu Min , Yu Yan

Recent SVD-free matrix factorization formulations have enabled rank minimization for systems with millions of rows and columns, paving the way for matrix completion in extremely large-scale applications, such as seismic data interpolation.…

Machine Learning · Statistics 2014-03-06 Aleksandr Y. Aravkin , Rajiv Kumar , Hassan Mansour , Ben Recht , Felix J. Herrmann

In most work to date, graph signal sampling and reconstruction algorithms are intrinsically tied to graph properties, assuming bandlimitedness and optimal sampling set choices. However, practical scenarios often defy these assumptions,…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega

This work revisits the hyperspectral super-resolution (HSR) problem, i.e., fusing a pair of spatially co-registered hyperspectral (HSI) and multispectral (MSI) images to recover a super-resolution image (SRI) that enhances the spatial…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Meng Ding , Xiao Fu

Block tensor decomposition (BTD) and canonical polyadic decomposition (CPD) are combined into a unified $O(N^3)$-scaling framework for second-order perturbation theory (PT2), demonstrated on MP2 and renormalized PT2 (rPT2). BTD constructs…

Chemical Physics · Physics 2026-05-28 Yueyang Zhang , Wei Wu , Peifeng Su

This paper considers the problem of signal decomposition and data visualization. For this purpose, we introduce a new multiscale transform, termed `ensemble patch transformation' that enhances identification of local characteristics…

Signal Processing · Electrical Eng. & Systems 2019-04-09 Donghoh Kim , Guebin Choi , Hee-Seok Oh

Source localization and radio cartography using multi-way representation of spectrum is the subject of study in this paper. A joint matrix factorization and tensor decomposition problem is proposed and solved using an iterative algorithm.…

Information Theory · Computer Science 2019-05-13 Mohsen Joneidi , Nazanin Rahnavard

We present an iterative algorithm, called the symmetric tensor eigen-rank-one iterative decomposition (STEROID), for decomposing a symmetric tensor into a real linear combination of symmetric rank-1 unit-norm outer factors using only…

Numerical Analysis · Mathematics 2016-02-18 Kim Batselier , Ngai Wong

Thermal infrared image enhancement aims to restore high-quality images from complex compound degradations. Existing all-in-one approaches typically employ a single shared backbone to handle diverse degradations, which causes gradient…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Pu Li , Huafeng Li , Yafei Zhang , Yu Liu , Wen Wang

We address the problem of reconstructing X-Ray tomographic images from scarce measurements by interpolating missing acquisitions using a self-supervised approach. To do so, we train shallow neural networks to combine two neighbouring…

Image and Video Processing · Electrical Eng. & Systems 2022-05-18 Emilien Valat , Katayoun Farrahi , Thomas Blumensath

Various datasets have been proposed for simultaneous localization and mapping (SLAM) and related problems. Existing datasets often include small environments, have incomplete ground truth, or lack important sensor data, such as depth and…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Janne Mustaniemi , Juho Kannala , Esa Rahtu , Li Liu , Janne Heikkilä

Joint radar and communication (RadCom) systems have been proposed to integrate radar and communication into one platform and achieve spectrum sharing in recent years. However, the joint RadCom systems cause the clutter modulation and the…

Signal Processing · Electrical Eng. & Systems 2023-11-14 Jifa Zhang