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The development of wavelet theory has in recent years spawned applications in signal processing, in fast algorithms for integral transforms, and in image and function representation methods. This last application has stimulated interest in…

统计方法学 · 统计学 2009-09-29 Anestis Antoniadis

In some supervised learning settings, the practitioner might have additional information on the features used for prediction. We propose a new method which leverages this additional information for better prediction. The method, which we…

统计方法学 · 统计学 2020-06-03 J. Kenneth Tay , Nima Aghaeepour , Trevor Hastie , Robert Tibshirani

Effective learning of asymmetric and local features in images and other data observed on multi-dimensional grids is a challenging objective critical for a wide range of image processing applications involving biomedical and natural images.…

统计方法学 · 统计学 2022-10-06 Meng Li , Li Ma

Wavelet based algorithms in numerical analysis are similar to other transform methods in that vectors and operators are expanded into a basis and the computations take place in this new system of coordinates. However, due to the recursive…

comp-gas · 物理学 2008-02-03 G. Beylkin

The role that the quantum properties of a gravitational wave could play in the detection of gravitational radiation is analyzed. It is not only corroborated that in the current laser-interferometric detectors the resolution of the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. Camacho

This article is concerned with the mathematical analysis of a family of adaptive importance sampling algorithms applied to diffusion processes. These methods, referred to as Adaptive Biasing Potential methods, are designed to efficiently…

概率论 · 数学 2018-05-10 Michel Benaïm , Charles-Edouard Bréhier

Classical finite mixture regression is useful for modeling the relationship between scalar predictors and scalar responses arising from subpopulations defined by the differing associations between those predictors and responses. Here we…

统计方法学 · 统计学 2013-12-04 Adam Ciarleglio , R. Todd Ogden

The wavelet transform, a family of orthonormal bases, is introduced as a technique for performing multiresolution analysis in statistical mechanics. The wavelet transform is a hierarchical technique designed to separate data sets into sets…

化学物理 · 物理学 2009-11-07 Ahmed E. Ismail , Gregory C. Rutledge , George Stephanopoulos

The empirical wavelet transform is an adaptive multiresolution analysis tool based on the idea of building filters on a data-driven partition of the Fourier domain. However, existing 2D extensions are constrained by the shape of the…

谱理论 · 数学 2024-10-28 Basile Hurat , Zariluz Alvarado , Jerome Gilles

This paper aims at presenting a new approach to the electro-sensing problem using wavelets. It provides an efficient algorithm for recognizing the shape of a target from micro-electrical impedance measurements. Stability and resolution…

数值分析 · 数学 2013-10-11 Habib Ammari , Stéphane Mallat , Irène Waldspurger , Han Wang

The reassignment method for the wavelet transform is investigated. Particularly good results are obtained if the wavelet is an extremal for the uncertainty relation of the affine group.

经典分析与常微分方程 · 数学 2015-09-30 Hans Martin Reimann

The forthcoming communication systems are advancing towards improved flexibility in various aspects. Improved flexibility is crucial to cater diverse service requirements. This letter proposes a novel waveform design scheme that exploits…

信号处理 · 电气工程与系统科学 2019-02-19 Mostafa Ibrahim , Ali Fatih Demir , Huseyin Arslan

The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT where the intensity of the pixels are used to define the…

计算几何 · 计算机科学 2023-07-27 Jessi Cisewski-Kehe , Brittany Terese Fasy , Dhanush Giriyan , Eli Quist

Weber-type parabolic beams have a transverse intensity profile, which is parabolically-shaped and can be flexibly controlled. On the other hand, this type of beams belongs to the family of the so-called nondiffracting beams and have…

光学 · 物理学 2023-10-17 Pavel Gotovski , Sergej Orlov

We describe a simple automated method to extract and quantify transient heterogeneous dynamical changes from large datasets generated in single molecule/particle tracking experiments. Based on wavelet transform, the method transforms raw…

数据分析、统计与概率 · 物理学 2013-06-04 Kejia Chen , Bo Wang , Juan Guan , Steve Granick

We propose a wavelet based method for the characterization of the scaling behavior of non-stationary time series. It makes use of the built-in ability of the wavelets for capturing the trends in a data set, in variable window sizes.…

混沌动力学 · 物理学 2009-11-10 P. Manimaran , Prasanta K. Panigrahi , Jitendra C. Parikh

Wavelet analysis is proposed as a new tool for studying the large-scale structure formation of the universe. To reveal its usefulness, the wavelet decomposition of one-dimensional cosmological density fluctuations is performed. In contrast…

天体物理学 · 物理学 2009-10-28 Yoshi Fujiwara , Jiro Soda

Distributions of wave characteristics of ocean waves, such as wave slope, waveheight or wavelength, are an important tool in a variety of oceanographic applications such as safety of ocean structures or in the study of ship stability, as…

概率论 · 数学 2008-12-18 Sofia Aberg , Igor Rychlik , M. Ross Leadbetter

This article consists of a brief discussion of the energy density over time or frequency that is obtained with the wavelet transform. Also an efficient algorithm is suggested to calculate the continuous transform with the Morlet wavelet.…

数据分析、统计与概率 · 物理学 2011-11-10 Richard Buessow

Recently, it has been proposed that the turbulent fluctuations measured in a linear plasma device could be described as a superposition of uncorrelated Lorentzian pulses with a narrow distribution of durations, which would provide an…

等离子体物理 · 物理学 2012-09-11 B. Ph. van Milligen , R. Sánchez , C. Hidalgo