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Tensors play a central role in many modern machine learning and signal processing applications. In such applications, the target tensor is usually of low rank, i.e., can be expressed as a sum of a small number of rank one tensors. This…

Machine Learning · Statistics 2015-05-18 Parikshit Shah , Nikhil Rao , Gongguo Tang

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

Statistical Mechanics · Physics 2010-02-23 Pramod Kumar Mishra

We recently presented a new "artificial intelligence" method for the analysis of high-resolution absorption spectra (Bainbridge and Webb, Mon. Not. R. Astron. Soc. 2017, 468,1639-1670). This new method unifies three established numerical…

Instrumentation and Methods for Astrophysics · Physics 2017-05-01 Matthew B. Bainbridge , John K. Webb

Complete absorption of electromagnetic waves is paramount in today's applications, ranging from photovoltaics to cross-talk prevention into sensitive devices. In this context, we use a genetic algorithm (GA) strategy to optimize absorption…

We present a new approach to RSA factorization inspired by geometric interpretations and square differences. This method reformulates the problem in terms of the distance between perfect squares and provides a recurrence relation that…

Cryptography and Security · Computer Science 2025-06-24 Akihisa Yorozu

We investigate the adsorption of a flexible polymer at a hexagonally patterned monolayer. All conformational polymer phases are identified, which enables the construction of a hyperphase diagram, parameterized by temperature and monolayer…

Soft Condensed Matter · Physics 2019-12-03 Benjamin Liewehr , Michael Bachmann

Facets of the convex hull of $n$ independent random vectors chosen uniformly at random from the unit sphere in $\mathbb{R}^d$ are studied. A particular focus is given on the height of the facets as well as the expected number of facets as…

Probability · Mathematics 2019-08-13 Gilles Bonnet , Eliza O'Reilly

Structurally random matrices (SRMs) are a practical alternative to fully random matrices (FRMs) when generating compressive sensing measurements because of their computational efficiency and their universality with respect to the sparsifing…

Information Theory · Computer Science 2015-07-27 Raziel Haimi-Cohen , Yenming Mark Lai

This paper introduces a new framework of fast and efficient sensing matrices for practical compressive sensing, called Structurally Random Matrix (SRM). In the proposed framework, we pre-randomize a sensing signal by scrambling its samples…

Information Theory · Computer Science 2015-05-28 Thong T. Do , Lu Gan , Nam H. Nguyen , Trac D. Tran

The use of reduced models for investigating the self-assembly dynamics underlying protein shell formation in spherical viruses is described. The spontaneous self-assembly of these polyhedral, supramolecular structures, in which icosahedral…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

Hypothesis: A broad range of phenomena, such as emulsification and emulsion stability, foam formation or liquid evaporation, are closely related to the dynamics of adsorbing colloidal particles. Elucidation of the mechanisms implied is key…

Soft Condensed Matter · Physics 2022-02-22 J. Martín-Roca , M. Jiménez , F. Ortega , C. Calero , Ch. Valeriani , R. G. Rubio , F. Martínez-Pedrero

A variety of simulation methodologies have been used for modeling reaction-diffusion dynamics -- including approaches based on Differential Equations (DE), the Stochastic Simulation Algorithm (SSA), Brownian Dynamics (BD), Green's Function…

Chemical Physics · Physics 2021-05-21 Marcus Thomas , Russell Schwartz

A recent trend in Non-Rigid Structure-from-Motion (NRSfM) is to express local, differential constraints between pairs of images, from which the surface normal at any point can be obtained by solving a system of polynomial equations. The…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Shaifali Parashar , Yuxuan Long , Mathieu Salzmann , Pascal Fua

When calculating the optical absorption spectra of molecular crystals from first principles, the influence of the crystalline environment on the excitations is of significant importance. For such systems, however, methods to describe the…

Materials Science · Physics 2021-08-17 Joseph C. A. Prentice , Arash A. Mostofi

A new configuration for metasurface construction is presented to achieve multi-functional capabilities including perfect absorption, bio/chem sensing, and surface-mode lasing. The reciprocal plasmonic metasurfaces discussed here are…

The phase diagram of unzipping of an adsorbed directed polymer in two dimensions in a random medium has been determined. Both the hard-wall and the soft-wall cases are considered. Exact solutions for the pure problem with different…

Statistical Mechanics · Physics 2009-11-11 Rajeev Kapri , Somendra M. Bhattacharjee

A numerical method based on smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) was developed for simulating free surface flows. This method can reduce the computational demands while maintaining the numerical…

Computational Physics · Physics 2021-07-28 Xiufeng Yang , Song-Charng Kong , Moubin Liu , Qingquan Liu

In an interesting new experiment the electronic structure of a magnetic atom adsorbed on the surface of Cu(111), observed by STM, was projected into a remote location on the same surface. The purpose of the present paper is to interpret…

Condensed Matter · Physics 2009-10-31 Mariana Weissmann , H. Bonadeo

The structural properties of polymers adsorbed onto a surface have been widely investigated using self-consistent mean-field theories. Recently, analytical mean-field theories have been applied to study polymer adsorption on curved surfaces…

Soft Condensed Matter · Physics 2009-11-10 K. I. Skau , E. M. Blokhuis

3D face reconstruction (3DFR) algorithms are based on specific assumptions tailored to distinct application scenarios. These assumptions limit their use when acquisition conditions, such as the subject's distance from the camera or the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Simone Maurizio La Cava , Sara Concas , Ruben Tolosana , Roberto Casula , Giulia Orrù , Martin Drahansky , Julian Fierrez , Gian Luca Marcialis
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