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Neural implicit representations of 3D shapes have shown great potential in 3D shape editing due to their ability to model high-level semantics and continuous geometric representations. However, existing methods often suffer from limited…

Graphics · Computer Science 2025-12-05 Jin Zhou , Hongliang Yang , Pengfei Xu , Hui Huang

A wavelet-based changepoint method is proposed that determines when the variability of the noise in a sequence of functional profiles goes out-of-control from a known, fixed value. The functional portion of the profiles are allowed to come…

Methodology · Statistics 2015-08-20 Vladimir J. Geneus , Eric Chicken , Jordan Cuevas , Joseph J. Pignatiello

Real-world data is complex and often consists of objects that can be decomposed into multiple entities (e.g. images into pixels, graphs into interconnected nodes). Randomized smoothing is a powerful framework for making models provably…

Machine Learning · Computer Science 2024-11-12 Yan Scholten , Jan Schuchardt , Aleksandar Bojchevski , Stephan Günnemann

Most of existing image denoising methods learn image priors from either external data or the noisy image itself to remove noise. However, priors learned from external data may not be adaptive to the image to be denoised, while priors…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Jun Xu , Lei Zhang , David Zhang

We propose a new gradient descent algorithm with added stochastic terms for finding the global optimizers of nonconvex optimization problems. A key component in the algorithm is the adaptive tuning of the randomness based on the value of…

Optimization and Control · Mathematics 2025-06-16 Björn Engquist , Kui Ren , Yunan Yang

In this paper, we consider a novel machine learning problem, that is, learning a classifier from noisy label distributions. In this problem, each instance with a feature vector belongs to at least one group. Then, instead of the true label…

Machine Learning · Computer Science 2017-08-17 Yuya Yoshikawa

This article reports on a new approach to properly analyze time series of dynamical systems which are spoilt by the simultaneous presence of dynamical noise and measurement noise. It is shown that even strong external measurement noise as…

Chaotic Dynamics · Physics 2009-11-11 Frank Boettcher , Joachim Peinke , David Kleinhans , Rudolf Friedrich , Pedro G. Lind , Maria Haase

This chapter considers the computational and statistical aspects of learning linear thresholds in presence of noise. When there is no noise, several algorithms exist that efficiently learn near-optimal linear thresholds using a small amount…

Machine Learning · Computer Science 2020-11-16 Maria-Florina Balcan , Nika Haghtalab

In this paper we present several practically-oriented extensions and considerations for the virtual noise method in optimal design under correlation. First we introduce a slightly modified virtual noise representation which further…

Methodology · Statistics 2025-04-25 Markus Hainy , Werner G. Müller , Andrej Pázman

Pairwise network comparison is essential for various applications, including neuroscience, disease research, and dynamic network analysis. While existing literature primarily focuses on comparing entire network structures, we address a…

Methodology · Statistics 2025-10-21 Runbing Zheng

Noise is an important factor which when get added to an image reduces its quality and appearance. So in order to enhance the image qualities, it has to be removed with preserving the textural information and structural features of image.…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Vivek Kumar , Atul Samadhiya

This paper gives a complete description of the solutions of the global positioning problem, emphasizing the under-determined case. We show that the solutions form a quadric, which may degenerate in various ways. Perhaps more surprisingly,…

Metric Geometry · Mathematics 2026-05-28 Mireille Boutin , Gregor Kemper

A Nielsen-Olesen vortex usually sits in an environment that expels the flux that is confined to the vortex, so flux is not present both inside and outside. We construct vortices for which this is not true, where the flux carried by the…

High Energy Physics - Theory · Physics 2016-08-30 C. P. Burgess , Ross Diener , M. Williams

In this paper a Neural Network based approach is presented to identify the noise in the VIRGO context. VIRGO is an experiment to detect Gravitational Waves by means of a Laser Interferometer. Preliminary results appear to be very promising…

Astrophysics · Physics 2007-05-23 F. Barone , R. De Rosa , A. Eleuteri , F. Garufi , L. Milano , R. Tagliaferri

The aim of this Lecture Note is to introduce the Signal Processing (SP) community to a powerful yet still under-utilised tool: the semiparametric statistics. In short, the semiparametric framework allows us to estimate or perform hypothesis…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Stefano Fortunati

Two natural generalizations of knot theory are the study of spatial graphs and virtual knots. Our goal is to unify these two approaches into the study of virtual spatial graphs. This paper is a survey, and does not contain any new results.…

Geometric Topology · Mathematics 2009-01-10 Thomas Fleming , Blake Mellor

We establish the local existence of pathwise solutions for the stochastic Euler equations in a three-dimensional bounded domain with slip boundary conditions and a very general nonlinear multiplicative noise. In the two-dimensional case we…

Analysis of PDEs · Mathematics 2012-05-08 Nathan E. Glatt-Holtz , Vlad C. Vicol

3D dynamic point clouds provide a discrete representation of real-world objects or scenes in motion, which have been widely applied in immersive telepresence, autonomous driving, surveillance, etc. However, point clouds acquired from…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Qianjiang Hu , Wei Hu

We conjecture that the inherent difference in generalisation between adaptive and non-adaptive gradient methods in deep learning stems from the increased estimation noise in the flattest directions of the true loss surface. We demonstrate…

Machine Learning · Statistics 2022-03-17 Diego Granziol , Nicholas Baskerville

The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise, we relax assumptions on the class of maps, as well as…

Dynamical Systems · Mathematics 2019-02-25 Elena Braverman , Alexandra Rodkina
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