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Related papers: Localization and projections on bi-parameter BMO

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Representing 3D shape deformations by linear models in high-dimensional space has many applications in computer vision and medical imaging, such as shape-based interpolation or segmentation. Commonly, using Principal Components Analysis a…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Florian Bernard , Peter Gemmar , Frank Hertel , Jorge Goncalves , Johan Thunberg

Bidiagonal matrices are widespread in numerical linear algebra, not least because of their use in the standard algorithm for computing the singular value decomposition and their appearance as LU factors of tridiagonal matrices. We show that…

Numerical Analysis · Mathematics 2023-11-14 Nicholas J. Higham

A simple method to generate a two-dimensional binary grid pattern, which allows for absolute and accurate self-location in a finite planar region, is proposed. The pattern encodes position information in a local way so that reading a small…

Information Theory · Computer Science 2011-12-20 Alfred M. Bruckstein , Tuvi Etzion , Raja Giryes , Noam Gordon , Robert J. Holt , Doron Shuldiner

The ${\mathcal D}$-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group ${\rm GL}(2,{\mathbb C})$ of…

Mathematical Physics · Physics 2015-10-02 S. Twareque Ali , Fabio Bagarello , Jean Pierre Gazeau

Localization is the challenge of determining the robot's pose in a mapped environment. This is done by implementing a probabilistic algorithm to filter noisy sensor measurements and track the robot's position and orientation. This paper…

Robotics · Computer Science 2025-01-03 Sagarnil Das

We describe and analyze an interior-point method to decide feasibility problems of second-order conic systems. A main feature of our algorithm is that arithmetic operations are performed with finite precision. Bounds for both the number of…

Numerical Analysis · Mathematics 2013-08-01 Felipe Cucker , Javier Peña , Vera Roshchina

Due to large variations in shape, appearance, and viewing conditions, object recognition is a key precursory challenge in the fields of object manipulation and robotic/AI visual reasoning in general. Recognizing object categories,…

Computer Vision and Pattern Recognition · Computer Science 2015-04-14 Haopeng Zhang , Tarek El-Gaaly , Ahmed Elgammal , Zhiguo Jiang

Let $T$ be a multilinear operator which is bounded on certain products of unweighted Lebesgue spaces of $\mathbb R^n$. We assume that the associated kernel of $T$ satisfies some mild regularity condition which is weaker than the usual…

Classical Analysis and ODEs · Mathematics 2012-04-17 The Anh Bui , Xuan Thinh Duong

In this paper, we rigorously characterize for the first time the manifold of unitary and symmetric matrices, deriving its tangent space and its geodesics. The resulting parameterization of the geodesics (through a real and symmetric matrix)…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Ignacio Santamaria , Mohammad Soleymani , Eduard Jorswieck , Jesus Gutierrez , Carlos Beltran

We study multi-frequency quasi-periodic Schr\"odinger operators on $\mathbb{Z}$ in the regime of positive Lyapunov exponent and for general analytic potentials. Combining Bourgain's semi-algebraic elimination of multiple resonances with the…

Spectral Theory · Mathematics 2016-10-04 Michael Goldstein , Wilhelm Schlag , Mircea Voda

In this paper we consider the localization problem for a visual sensor network. Inspired by the alternate attitude and position distributed optimization framework discussed in [1], we propose an estimation scheme that exploits the unit dual…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Luca Varotto , Marco Fabris , Giulia Michieletto , Angelo Cenedese

We generalize the factorization method for inverse medium scattering using a particular factorization of the difference of two far field operators. Whilst the factorization method been used so far mainly to identify the shape of a…

Analysis of PDEs · Mathematics 2016-08-05 Evgeny Lakshtanov , Armin Lechleiter

We derive a combinatorial identity which is useful in studying the distribution of Fourier coefficients of L-functions by allowing us to pass from knowledge of moments of the coefficients to the distribution of the coefficients.

Combinatorics · Mathematics 2010-06-02 Steven J. Miller , M. Ram Murty , Frederick W. Strauch

Despite much recent progress in video-based person re-identification (re-ID), the current state-of-the-art still suffers from common real-world challenges such as appearance similarity among various people, occlusions, and frame…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Abhishek Aich , Meng Zheng , Srikrishna Karanam , Terrence Chen , Amit K. Roy-Chowdhury , Ziyan Wu

We provide an operator space version of Maurey's factorization theorem. The main tool is an embedding result of independent interest. Applications for operator spaces and noncommutative Lp spaces are included.

Functional Analysis · Mathematics 2009-10-22 Marius Junge , Javier Parcet

In this paper the theory of 2-Variable Boolean Operation (2-VBO) has been discussed on a pair of n-bit strings. 2-VBO serves to bring out the relation between numbers which when plot on a 2-D surface form interesting patterns; patterns that…

Chaotic Dynamics · Physics 2010-08-17 Sudhakar Sahoo , Ipsita Mohanty , Garisha Chowdhary , Arpit Panigrahi

We propose and evaluate an iterative localization mechanism employing Bayesian inference to estimate the position of a target using received signal strength measurements. The probability density functions of the target's coordinates are…

Applications · Statistics 2020-03-05 Henrique Hilleshein , Carlos H. M. de Lima , Hirley Alves , Matti Latva-aho

Bayesian Optimization (BO) is a powerful tool for optimizing complex non-linear systems. However, its performance degrades in high-dimensional problems with tightly coupled parameters and highly asymmetric objective landscapes, where…

Machine Learning · Computer Science 2026-02-12 Aashwin Mishra , Matt Seaberg , Ryan Roussel , Daniel Ratner , Apurva Mehta

Resampling is an important signature of manipulated images. In this paper, we propose two methods to detect and localize image manipulations based on a combination of resampling features and deep learning. In the first method, the Radon…

Bayesian Optimization (BO) is a well-established method for addressing black-box optimization problems. In many real-world scenarios, optimization often involves multiple functions, emphasizing the importance of leveraging data and learned…

Machine Learning · Computer Science 2025-03-11 Khoa Nguyen , Viet Huynh , Binh Tran , Tri Pham , Tin Huynh , Thin Nguyen