English
Related papers

Related papers: Shifted Matrix-Sign Reflectors for Prescribed-Inde…

200 papers

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the present article, the formulation is extended to handle reflective…

Numerical Analysis · Mathematics 2023-06-12 Olivier Pironneau , Pierre-Henri Tournier

We consider the problem of how many samples from a Gaussian multi-index model are required to weakly reconstruct the relevant index subspace. Despite its increasing popularity as a testbed for investigating the computational complexity of…

Machine Learning · Computer Science 2025-06-11 Leonardo Defilippis , Yatin Dandi , Pierre Mergny , Florent Krzakala , Bruno Loureiro

Low-rank structure is a common implicit assumption in many modern reinforcement learning (RL) algorithms. For instance, reward-free and goal-conditioned RL methods often presume that the successor measure admits a low-rank representation.…

Machine Learning · Computer Science 2025-11-06 Bastien Dubail , Stefan Stojanovic , Alexandre Proutière

We establish a sharp lower bound on the spectral gap of the biased adjacent-transposition Markov chain on the symmetric group. As a consequence, we resolve a longstanding conjecture of Fill, proving that among all regular probability…

Probability · Mathematics 2026-04-08 Gary R. W. Greaves , Haoran Zhu

We show that an idea, originating initially with a fundamental recursive iteration scheme (usually referred as "the" Kaczmarz algorithm), admits important applications in such infinite-dimensional, and non-commutative, settings as are…

Functional Analysis · Mathematics 2019-04-10 Palle Jorgensen , Myung-Sin Song , Feng Tian

A lighting-based multispectral imaging system using an RGB camera and a projector is one of the most practical and low-cost systems to acquire multispectral observations for estimating the scene's spectral reflectance information. However,…

Image and Video Processing · Electrical Eng. & Systems 2020-12-21 Hironori Hidaka , Yusuke Monno , Masatoshi Okutomi

Restricted isometry property (RIP), essentially stating that the linear measurements are approximately norm-preserving, plays a crucial role in studying low-rank matrix recovery problem. However, RIP fails in the robust setting, when a…

Machine Learning · Computer Science 2021-09-29 Jianhao Ma , Salar Fattahi

This is the third article in a series of three dealing with the exploitation of speckle for imaging purposes. In complex media, a fundamental limit is the multiple scattering phenomenon that completely blurs the imaging process in depth.…

Applied Physics · Physics 2026-02-06 Elsa Giraudat , Flavien Bureau , William Lambert , Mathias Fink , Alexandre Aubry

In this paper, the adoption of an intelligent reflecting surface (IRS) for multiple single-antenna source terminal (ST)-DT pairs in two-hop networks is investigated. Different from the previous studies on IRS that merely focused on tuning…

Information Theory · Computer Science 2020-10-01 Yulan Gao , Chao Yong , Zehui Xiong , Jun Zhao , Yue Xiao , Dusit Niyato

Hyperspectral target detection is a task of primary importance in remote sensing since it allows identification, location, and discrimination of target features. To this end, the reflectance maps, which contain the spectral signatures and…

Signal Processing · Electrical Eng. & Systems 2023-05-24 Pia Addabbo , Nicomino Fiscante , Gaetano Giunta , Danilo Orlando , Giuseppe Ricci , Silvia Liberata Ullo

Transformers have become the architecture of choice for learning long-range dependencies, yet their adoption in hyperspectral imaging (HSI) is still emerging. We reviewed more than 300 papers published up to 2025 and present the first…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Guyang Zhang , Waleed Abdulla

Intelligent reflecting surface (IRS), which consists of a large number of tunable reflective elements, is capable of enhancing the wireless propagation environment in a cellular network by intelligently reflecting the electromagnetic waves…

Signal Processing · Electrical Eng. & Systems 2021-06-10 Tao Jiang , Hei Victor Cheng , Wei Yu

Negative index of refraction has become an accepted part of transformation optics, which is encountered in transformations that change the orientation of the manifold. Based on this concept, various designs of perfect lenses have been…

Optics · Physics 2009-12-15 L. Bergamin

Determination of orientation in the imaged sample/scene has a large application potential when the anisotropy of properties is analysed, usually, under a linearly polarised illumination. This study combined several improvements of…

Pseudospectra and structured pseudospectra are important tools for the analysis of matrices. Their computation, however, can be very demanding for all but small matrices. A new approach to compute approximations of pseudospectra and…

Numerical Analysis · Mathematics 2016-11-16 Silvia Noschese , Lothar Reichel

Motivated by a recent work on a preconditioned MINRES for flipped linear systems in imaging, in this note we extend the scope of that research for including more precise boundary conditions such as reflective and anti-reflective ones. We…

Numerical Analysis · Mathematics 2024-02-20 Paola Ferrari , Isabella Furci , Stefano Serra-Capizzano

The inverse eigenvalue problem of a graph studies the real symmetric matrices whose off-diagonal pattern is prescribed by the adjacencies of the graph. The strong spectral property (SSP) is an important tool for this problem. This note…

Combinatorics · Mathematics 2022-04-19 Shaun M. Fallat , H. Tracy Hall , Jephian C. -H. Lin , Bryan L. Shader

A matrix is called strictly sign-regular of order $k$ (denoted by $SSR_k$) if all its $k\times k$ minors are non-zero and have the same sign. For example, totally positive matrices, i.e., matrices with all minors positive, are $SSR_k$ for…

Dynamical Systems · Mathematics 2018-10-29 Rola Alseidi , Michael Margaliot , Jürgen Garloff

Reflectance bounds the frequency spectrum of illumination in the object appearance. In this paper, we introduce the first stochastic inverse rendering method, which recovers the attenuated frequency spectrum of an illumination jointly with…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Yuto Enyo , Ko Nishino

We investigate Stochastic Mirror Descent (SMD) with matrix parameters and vector-valued predictions, a framework relevant to multi-class classification and matrix completion problems. Focusing on the overparameterized regime, where the…

Machine Learning · Statistics 2026-03-02 Danil Akhtiamov , Reza Ghane , Omead Pooladzandi , Babak Hassibi