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A Lagrangian formulation for the constrained search for the $N$-representable one-particle density matrix based on the McWeeny idempotency error minimization is proposed, which converges systematically to the ground state. A closed form of…

Mathematical Physics · Physics 2016-03-23 Lionel A. Truflandier , Rivo M. Dianzinga , David R. Bowler

In this paper, we advocate the adoption of metric preservation as a powerful prior for learning latent representations of deformable 3D shapes. Key to our construction is the introduction of a geometric distortion criterion, defined…

Machine Learning · Computer Science 2020-12-14 Luca Cosmo , Antonio Norelli , Oshri Halimi , Ron Kimmel , Emanuele Rodolà

Undoing the image formation process and therefore decomposing appearance into its intrinsic properties is a challenging task due to the under-constraint nature of this inverse problem. While significant progress has been made on inferring…

Computer Vision and Pattern Recognition · Computer Science 2015-11-16 Konstantinos Rematas , Tobias Ritschel , Mario Fritz , Efstratios Gavves , Tinne Tuytelaars

Makeup transfer is the task of applying on a source face the makeup style from a reference image. Real-life makeups are diverse and wild, which cover not only color-changing but also patterns, such as stickers, blushes, and jewelries.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Thao Nguyen , Anh Tran , Minh Hoai

Aspl\"und 's metric, which is useful for pattern matching, consists in a double-sided probing, i.e. the over-graph and the sub-graph of a function are probed jointly. This paper extends the Aspl\"und 's metric we previously defined for…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Guillaume Noyel , Michel Jourlin

Inference by means of mathematical modeling from a collection of observations remains a crucial tool for scientific discovery and is ubiquitous in application areas such as signal compression, imaging restoration, and supervised machine…

Numerical Analysis · Mathematics 2022-07-19 Matthias Chung , Rosemary Renaut

Saliency maps that identify the most informative regions of an image for a classifier are valuable for model interpretability. A common approach to creating saliency maps involves generating input masks that mask out portions of an image to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Jason Phang , Jungkyu Park , Krzysztof J. Geras

This work develops new numerical methods for the solution of the tomography problem in domains with reflecting obstacles. We compare the solution's performance for Lambertian reflection, for classical tomography with unbroken rays and for…

Numerical Analysis · Mathematics 2015-06-12 Kamen Lozev

Recently, plain vision Transformers (ViTs) have shown impressive performance on various computer vision tasks, thanks to their strong modeling capacity and large-scale pretraining. However, they have not yet conquered the problem of image…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Jingfeng Yao , Xinggang Wang , Shusheng Yang , Baoyuan Wang

Trade-offs between feasible absorption and scattering cross sections of obstacles confined to an arbitrarily shaped volume are formulated as a multi-objective optimization problem solvable by Lagrangian-dual methods. Solutions to this…

The auxiliary latitudes are essential tools in cartography. This paper summarizes methods for converting between them with an emphasis on providing full double-precision accuracy. This includes series expansions in the third flattening,…

Geophysics · Physics 2024-02-27 Charles F. F. Karney

Most previous image matting methods require a roughly-specificed trimap as input, and estimate fractional alpha values for all pixels that are in the unknown region of the trimap. In this paper, we argue that directly estimating the alpha…

Computer Vision and Pattern Recognition · Computer Science 2019-09-12 Shaofan Cai , Xiaoshuai Zhang , Haoqiang Fan , Haibin Huang , Jiangyu Liu , Jiaming Liu , Jiaying Liu , Jue Wang , Jian Sun

Fingerprints have grown to be the most robust and efficient means of biometric identification. Latent fingerprints are commonly found at crime scenes. They are also of the overlapped kind making it harder for identification and thus the…

Computers and Society · Computer Science 2017-10-26 Tejas K , Swathi C , Aravind Kumar D , Rajesh Muthu

In this paper we will discuss different coupling methods {suitable for use in} the framework of the recently introduced CutFEM paradigm, cf. Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, Andr\'e . CutFEM:…

Numerical Analysis · Mathematics 2017-02-28 Erik Burman , Peter Hansbo

Vision Transformers are at the heart of the current surge of interest in foundation models for histopathology. They process images by breaking them into smaller patches following a regular grid, regardless of their content. Yet, not all…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Clément Grisi , Geert Litjens , Jeroen van der Laak

We consider the problem of matching two shapes assuming these shapes are related by an elastic deformation. Using linearized elasticity theory and the finite element method we seek an elastic deformation that is caused by simple external…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Konrad Simon , Ronen Basri

We prove that the inverse of a positive-definite matrix can be approximated by a weighted-sum of a small number of matrix exponentials. Combining this with a previous result [OSV12], we establish an equivalence between matrix inversion and…

Data Structures and Algorithms · Computer Science 2016-08-23 Sushant Sachdeva , Nisheeth K. Vishnoi

Quantum light-matter systems at strong coupling are notoriously challenging to analyze due to the need to include states with many excitations in every coupled mode. We propose a nonperturbative approach to analyze light-matter correlations…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Yuto Ashida , Atac Imamoglu , Eugene Demler

Advantages of the original symmetrical form of the parametrization of the lepton mixing matrix are discussed. It provides a conceptually more transparent description of neutrino oscillations and lepton number violating processes like…

High Energy Physics - Phenomenology · Physics 2011-10-27 W. Rodejohann , J. W. F. Valle

This work develops new numerical methods for the solution of the tomography problem in domains with reflecting obstacles. We compare the solution's performance for Lambertian reflection, for classical tomography with ubroken rays and for…

Numerical Analysis · Mathematics 2012-09-04 Kamen Lozev