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Light absorption at the boundary of indirect-band-gap and direct-forbidden gap semiconductors is analyzed. It is found that the possibility of the electron momentum nonconservation at the interface leads to essential enhancement of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Braginsky

We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we reprove an equality of ramification groups for abelian…

Number Theory · Mathematics 2024-10-08 Takeshi Saito

Abstrct: In this note, by considering fractionally linear functions over a finite field and consequently developing an abstract sequence, we study some of its properties.

Discrete Mathematics · Computer Science 2007-05-23 V. M. Siddlenikov , R. N. Mohan , Moon Ho Lee

In the field of computer vision, visible light images often exhibit low contrast in low-light conditions, presenting a significant challenge. While infrared imagery provides a potential solution, its utilization entails high costs and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Yijia Chen , Pinghua Chen , Xiangxin Zhou , Yingtie Lei , Ziyang Zhou , Mingxian Li

Light scattering and aberrations limit optical microscopy in biological tissue, which motivates the development of adaptive optics techniques. Here, we develop a method for adaptive optics with reflected light and deep neural networks…

Optics · Physics 2020-07-28 Ivan Vishniakou , Johannes D. Seelig

We advocate the use of implicit fields for learning generative models of shapes and introduce an implicit field decoder, called IM-NET, for shape generation, aimed at improving the visual quality of the generated shapes. An implicit field…

Graphics · Computer Science 2019-09-18 Zhiqin Chen , Hao Zhang

In this paper, we delve into the concept of interpretable image enhancement, a technique that enhances image quality by adjusting filter parameters with easily understandable names such as "Exposure" and "Contrast". Unlike using predefined…

Computer Vision and Pattern Recognition · Computer Science 2024-08-21 Satoshi Kosugi

We consider the X-ray transform in a projective space over a finite field. It is well known (after E. Bolker) that this transform is injective. We formulate an analog of I.M. Gelfand's admissibility problem for the Radon transform, which…

Metric Geometry · Mathematics 2017-07-26 David V. Feldman , Eric L. Grinberg

The applicability and usefulness of implicit sampling in stochastic optimal control, stochastic localization, and simultaneous localization and mapping (SLAM), is explored; implicit sampling is a recently-developed variationally-enhanced…

Optimization and Control · Mathematics 2014-11-17 Matthias Morzfeld

In this study, we propose the leveraging of interpretability for tasks beyond purely the purpose of explainability. In particular, this study puts forward a novel strategy for leveraging gradient-based interpretability in the realm of…

Machine Learning · Computer Science 2019-04-23 Devinder Kumar , Ibrahim Ben-Daya , Kanav Vats , Jeffery Feng , Graham Taylor and , Alexander Wong

Light fields preserve angular information which can be retargeted to multi-panel depth displays. Due to limited aperture size and constrained spatial-angular sampling of many light field capture systems, the displayed light fields provide…

Image and Video Processing · Electrical Eng. & Systems 2017-10-09 Basel Salahieh , Seth Hunter , Yi Wu , Oscar Nestares

We sketch the construction of a derived enhancement of the reciprocity isomorphism of class field theory. Details will appear in a forthcoming joint paper of the authors with A. Raksit.

Number Theory · Mathematics 2023-04-28 Tony Feng , Michael Harris , Barry Mazur

Optimizing and rendering Neural Radiance Fields is computationally expensive due to the vast number of samples required by volume rendering. Recent works have included alternative sampling approaches to help accelerate their methods,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Ruilong Li , Hang Gao , Matthew Tancik , Angjoo Kanazawa

In previous work the authors analysed the global properties of an approximate model of radiation damping for charged particles. This work is put into context and related to the original motivation of understanding approximations used in the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Markus Kunze , Alan D. Rendall

We introduce a simple representation for isotropic spherical random fields and we discuss how it allows to discuss different notions of sparsity under isotropy. We also show how a suitable construction of sparse fields can mimic well the…

Probability · Mathematics 2026-01-30 Giacomo Greco , Domenico Marinucci

Perfect lensing using negative refractive index materials and radiationless electromagnetic interference both provide extreme subwavelength focusing by "amplifying" evanescent wave components that are usually lost. This paper provides a…

Optics · Physics 2015-06-03 Reuven Gordon

We present a method for handling view-dependent information in radiance fields to help with convergence and quality of 3D reconstruction. Radiance fields with view-dependence suffers from the so called shape-radiance ambiguity, which can…

Computer Vision and Pattern Recognition · Computer Science 2022-03-04 Sverker Rasmuson , Erik Sintorn , Ulf Assarsson

This is a technical appendix to "Adaptive estimation of stationary Gaussian fields". We present several proofs that have been skipped in the main paper.

Statistics Theory · Mathematics 2009-09-01 Nicolas Verzelen

We investigate when a computable automorphism of a computable field can be effectively extended to a computable automorphism of its (computable) algebraic closure. We then apply our results and techniques to study effective embeddings of…

Logic · Mathematics 2019-08-15 Matthew Harrison-Trainor , Russell Miller , Alexander Melnikov

We propose an interferometric setup that permits to tune the quantity of radiation absorbed by an object illuminated by a fixed light source. The method can be used to selectively irradiate portions of an object based on their…

Quantum Physics · Physics 2009-11-13 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone
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