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We have developed a real-space method to correct distortion due to thermal drift and piezoelectric actuator nonlinearities on scanning tunneling microscope images using Matlab. The method uses the known structures typically present in…

Instrumentation and Detectors · Physics 2017-02-03 Mitchell P. Yothers , Aaron E. Browder , Lloyd A. Bumm

Sparse tiling is a technique to fuse loops that access common data, thus increasing data locality. Unlike traditional loop fusion or blocking, the loops may have different iteration spaces and access shared datasets through indirect memory…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Fabio Luporini , Michael Lange , Christian T. Jacobs , Gerard J. Gorman , J. Ramanujam , Paul H. J. Kelly

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

Computer Vision and Pattern Recognition · Computer Science 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

Sparse subspace clustering (SSC) is an elegant approach for unsupervised segmentation if the data points of each cluster are located in linear subspaces. This model applies, for instance, in motion segmentation if some restrictions on the…

Machine Learning · Statistics 2018-02-12 Hanno Ackermann , Michael Ying Yang , Bodo Rosenhahn

Plasma diagnostics often employ computerized tomography to estimate emissivity profiles from a finite, and often limited, number of line-integrated measurements. Decades of algorithmic refinement have brought considerable improvements, and…

Plasma Physics · Physics 2026-03-12 D. Hamm , C. Theiler , M. Simeoni , B. P. Duval , T. Debarre , L. Simons , J. R. Queralt

We present a coherent population trapping based scheme to attain sub-nanoscale resolution for atom localization, microscopy and lithography. Our method uses three-level atoms coupled to amplitude modulated probe field and spatially…

Quantum Physics · Physics 2009-12-08 K. T. Kapale , G. S. Agarwal

The Scanning Tunneling Microscope (STM) is a powerful instrument to study electronic density of states at surfaces down to atomic scale. Many interesting samples require studying variations as a function of the magnetic field, which is most…

The search for topological superconductors has recently become a key issue in condensed matter physics, because of their possible relevance to provide a platform for Majorana bound states, non-Abelian statistics, and fault-tolerant quantum…

Superconductivity · Physics 2015-09-29 Lars Elster , Christian Platt , Ronny Thomale , Werner Hanke , Ewelina M. Hankiewicz

We propose a novel experimental probe for cold atomic gases analogous to the scanning tunnelling microscope (STM) in condensed matter. This probe uses the coherent coupling of a single particle to the system. Depending on the measurement…

Strongly Correlated Electrons · Physics 2008-03-01 Corinna Kollath , Michael Köhl , Thierry Giamarchi

The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

Machine Learning · Computer Science 2023-08-29 Jianyi Lin

Sparse subspace clustering (SSC) is one of the current state-of-the-art methods for partitioning data points into the union of subspaces, with strong theoretical guarantees. However, it is not practical for large data sets as it requires…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Maryam Abdolali , Nicolas Gillis , Mohammad Rahmati

Scanning tunneling spectroscopy measures how a single electron with definite energy propagates between a sample surface and the tip of a scanning tunneling microscope. In the simplest description, the differential conductance measured is…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 Mikko M. Ervasti , Fabian Schulz , Peter Liljeroth , Ari Harju

Subspace clustering refers to the problem of clustering high-dimensional data that lie in a union of low-dimensional subspaces. State-of-the-art subspace clustering methods are based on the idea of expressing each data point as a linear…

Computer Vision and Pattern Recognition · Computer Science 2016-08-08 Qilin Li , Ling Li , Wanquan Liu

This paper addresses the issue of building a part-based representation of a dataset of images. More precisely, we look for a non-negative, sparse decomposition of the images on a reduced set of atoms, in order to unveil a morphological and…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Bastien Ponchon , Santiago Velasco-Forero , Samy Blusseau , Jesus Angulo , Isabelle Bloch

This paper introduces a new shape-based image reconstruction technique applicable to a large class of imaging problems formulated in a variational sense. Given a collection of shape priors (a shape dictionary), we define our problem as…

Functional Analysis · Mathematics 2013-03-04 Alireza Aghasi , Justin Romberg

The medial axis transform is a well-known tool for shape recognition. Instead of the object contour, it equivalently describes a binary object in terms of a skeleton containing all centres of maximal inscribed discs. While this shape…

Image and Video Processing · Electrical Eng. & Systems 2025-03-06 Julia Gierke , Pascal Peter

Orthogonal Matching Pursuit (OMP) plays an important role in data science and its applications such as sparse subspace clustering and image processing. However, the existing OMP-based approaches lack of data adaptiveness so that the data…

Machine Learning · Computer Science 2019-09-02 Jiaqiyu Zhan , Zhiqiang Bai , Yuesheng Zhu

Mixtures of matrix Gaussian distributions provide a probabilistic framework for clustering continuous matrix-variate data, which are becoming increasingly prevalent in various fields. Despite its widespread adoption and successful…

Computation · Statistics 2023-07-21 Andrea Cappozzo , Alessandro Casa , Michael Fop

Compressed sensing is an imaging paradigm that allows one to invert an underdetermined linear system by imposing the a priori knowledge that the sought after solution is sparse (i.e., mostly zeros). Previous works have shown that if one…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Nicholas Dwork , Erin K. Englund

Due to the over-parameterization of neural networks, many model compression methods based on pruning and quantization have emerged. They are remarkable in reducing the size, parameter number, and computational complexity of the model.…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Yun Chu , Pu Li , Yong Bai , Zhuhua Hu , Yongqing Chen , Jiafeng Lu