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We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

Statistics Theory · Mathematics 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

Background signals are a primary source of artifacts in magnetic particle imaging and limit the sensitivity of the method since background signals are often not precisely known and vary over time. The state-of-the art method for handling…

Image and Video Processing · Electrical Eng. & Systems 2021-06-18 Tobias Knopp , Mirco Grosser , Matthias Graeser , Timo Gerkmann , Martin Möddel

Sparse representations using data dictionaries provide an efficient model particularly for signals that do not enjoy alternate analytic sparsifying transformations. However, solving inverse problems with sparsifying dictionaries can be…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Vishwanath Saragadam , Xin Li , Aswin Sankaranarayanan

In some contexts, well-formed natural language cannot be expected as input to information or communication systems. In these contexts, the use of grammar-independent input (sequences of uninflected semantic units like e.g.…

Computation and Language · Computer Science 2007-05-23 Pascal Vaillant

We propose a novel spectral generative model for image synthesis that departs radically from the common variational, adversarial, and diffusion paradigms. In our approach, images, after being flattened into one-dimensional signals, are…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Andrew Kiruluta

This paper introduces a practical and accurate calibration method for camera spectral sensitivity using a diffraction grating. Accurate calibration of camera spectral sensitivity is crucial for various computer vision tasks, including color…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Lilika Makabe , Hiroaki Santo , Fumio Okura , Michael S. Brown , Yasuyuki Matsushita

Resolving transient atomic configurations in non-crystalline or dynamic environments remains a fundamental bottleneck in the physical sciences. While X-ray absorption spectroscopy (XAS) is a premier probe of local structure, inverting…

Materials Science · Physics 2026-03-31 Suyang Zhong , Boying Huang , Pengwei Xu , Fanjie Xu , Yuhao Zhao , Jun Cheng , Fujie Tang , Weinan E , Zhong-Qun Tian

This paper proposes an efficient bitwise solution to the single-channel source separation task. Most dictionary-based source separation algorithms rely on iterative update rules during the run time, which becomes computationally costly…

Sound · Computer Science 2017-12-04 Lijiang Guo , Minje Kim

Attenuation compensation (AC) is a pre-requisite for reliable quantification and beneficial for visual interpretation tasks in single-photon emission computed tomography (SPECT). Typical AC methods require the availability of an attenuation…

Medical Physics · Physics 2021-02-12 Zitong Yu , Md Ashequr Rahman , Thomas Schindler , Richard Laforest , Abhinav K. Jha

A dictionary learning based audio source classification algorithm is proposed to classify a sample audio signal as one amongst a finite set of different audio sources. Cosine similarity measure is used to select the atoms during dictionary…

Sound · Computer Science 2015-10-28 K V Vijay Girish , T V Ananthapadmanabha , A G Ramakrishnan

In this technical note, we deal with a spectrum approximation problem arising in THREE-like multivariate spectral estimation approaches. The solution to the problem minimizes a suitable divergence index with respect to an a priori spectral…

Optimization and Control · Mathematics 2014-06-27 Mattia Zorzi

Most existing algorithms for dictionary learning assume that all entries of the (high-dimensional) input data are fully observed. However, in several practical applications (such as hyper-spectral imaging or blood glucose monitoring), only…

Machine Learning · Statistics 2018-04-26 Thanh V. Nguyen , Akshay Soni , Chinmay Hegde

Open-Vocabulary Semantic Segmentation (OVSS) has advanced with recent vision-language models (VLMs), enabling segmentation beyond predefined categories through various learning schemes. Notably, training-free methods offer scalable, easily…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Chanyoung Kim , Dayun Ju , Woojung Han , Ming-Hsuan Yang , Seong Jae Hwang

X-ray interaction with matter is an energy-dependent process that is contingent on the atomic structure of the constituent material elements. The most advanced models to capture this relationship currently rely on Monte Carlo (MC)…

Machine Learning · Computer Science 2023-07-11 Raziye Kubra Kumrular , Thomas Blumensath

In this paper, we introduce a dictionary learning based approach applied to the problem of real-time reconstruction of MR image sequences that are highly undersampled in k-space. Unlike traditional dictionary learning, our method integrates…

Computer Vision and Pattern Recognition · Computer Science 2015-02-19 Dornoosh Zonoobi , Shahrooz Faghih Roohi , Ashraf A. Kassim

Radar sensors are low cost, long-range, and weather-resilient. Therefore, they are widely used for driver assistance functions, and are expected to be crucial for the success of autonomous driving in the future. In many perception tasks…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Mariia Pushkareva , Yuri Feldman , Csaba Domokos , Kilian Rambach , Dotan Di Castro

In recent studies in hyperspectral imaging, biometrics and energy analytics, the framework of deep dictionary learning has shown promise. Deep dictionary learning outperforms other traditional deep learning tools when training data is…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Vanika Singhal , Angshul Majumdar

We propose a novel spectral generative modeling framework for natural language processing that jointly learns a global time varying Fourier dictionary and per token mixing coefficients, replacing the ubiquitous self attention mechanism in…

Computation and Language · Computer Science 2025-05-02 Andrew Kiruluta

Dictionary learning is the task of determining a data-dependent transform that yields a sparse representation of some observed data. The dictionary learning problem is non-convex, and usually solved via computationally complex iterative…

Machine Learning · Computer Science 2016-11-30 Cristian Rusu , Nuria Gonzalez-Prelcic , Robert Heath

Based on the work done by an electromagnetic field on an atomic or molecular electronic system, a general gauge invariant formulation of transient absorption spectroscopy is presented within the semi-classical approximation. Avoiding…