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Deep neural networks have been successfully applied to a broad range of problems where overparametrization yields weight matrices which are partially random. A comparison of weight matrix singular vectors to the Porter-Thomas distribution…

Disordered Systems and Neural Networks · Physics 2024-01-22 Max Staats , Matthias Thamm , Bernd Rosenow

We consider the problem of mean estimation assuming only finite variance. We study a new class of mean estimators constructed by integrating over random noise applied to a soft-truncated empirical mean estimator. For appropriate choices of…

Statistics Theory · Mathematics 2019-06-26 Matthew J. Holland

Sound and movement are closely coupled, particularly in dance. Certain audio features have been found to affect the way we move to music. Is this relationship between sound and movement something which can be modelled using machine…

Sound · Computer Science 2020-11-30 Benedikte Wallace , Charles P. Martin , Jim Torresen , Kristian Nymoen

Variational autoencoders have been widely applied for natural language generation, however, there are two long-standing problems: information under-representation and posterior collapse. The former arises from the fact that only the last…

Machine Learning · Computer Science 2021-06-17 Xianghong Fang , Haoli Bai , Zenglin Xu , Michael Lyu , Irwin King

Score-based generative models provide state-of-the-art quality for image and audio synthesis. Sampling from these models is performed iteratively, typically employing a discretized series of noise levels and a predefined scheme. In this…

Machine Learning · Computer Science 2021-04-09 Joan Serrà , Santiago Pascual , Jordi Pons

Sensing and aggregation of noisy observations should not be considered as separate issues. The quality of collective estimation involves a difficult tradeoff between sensing quality which increases by increasing the number of sensors, and…

Information Theory · Computer Science 2011-02-16 Tatsuto Murayama , Peter Davis

In this paper, we study a linear control system with a given state feedback law. The system is influenced by rapid random sampling occurring at frequency $\frac 1n, n \in \mathbb N$, as well as by white noise of small intensity $\varepsilon…

Probability · Mathematics 2026-03-18 Sarvesh Ravichandran Iyer , Vivek Kumar

Sampling is a common strategy for generating text from probabilistic models, yet standard ancestral sampling often results in text that is incoherent or ungrammatical. To alleviate this issue, various modifications to a model's sampling…

Computation and Language · Computer Science 2024-01-08 Clara Meister , Tiago Pimentel , Luca Malagutti , Ethan G. Wilcox , Ryan Cotterell

Real-world image noise removal is a long-standing yet very challenging task in computer vision. The success of deep neural network in denoising stimulates the research of noise generation, aiming at synthesizing more clean-noisy image pairs…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Zongsheng Yue , Qian Zhao , Lei Zhang , Deyu Meng

Waves can be used to probe and image an unknown medium. Passive imaging uses ambient noise sources to illuminate the medium. This paper considers passive imaging with moving sensors. The motivation is to generate large synthetic apertures,…

Classical Physics · Physics 2017-02-15 Mathias Fink , Josselin Garnier

Flow matching has achieved remarkable success, yet the factors influencing the quality of its generation process remain poorly understood. In this work, we adopt a denoising perspective and design a framework to empirically probe the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Anne Gagneux , Ségolène Martin , Rémi Gribonval , Mathurin Massias

We consider problems where multiple predictions can be considered correct, but only one of them is given as supervision. This setting differs from both the regression and class-conditional generative modelling settings: in the former, there…

Machine Learning · Computer Science 2020-12-02 Shichong Peng , Ke Li

The field of text-to-audio generation has seen significant advancements, and yet the ability to finely control the acoustic characteristics of generated audio remains under-explored. In this paper, we introduce a novel yet simple approach…

Sound · Computer Science 2024-12-16 Sonal Kumar , Prem Seetharaman , Justin Salamon , Dinesh Manocha , Oriol Nieto

Iterative denoising-based generation, also known as denoising diffusion models, has recently been shown to be comparable in quality to other classes of generative models, and even surpass them. Including, in particular, Generative…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Yaniv Benny , Lior Wolf

Advancing quantum technologies necessitates an in-depth exploration of how operations generate quantum resources and respond to noise. Crucial are gates generating quantum coherence and the challenge of mitigating gate dephasing noise.…

Quantum Physics · Physics 2024-03-29 Roberto Salazar , Fereshte Shahbeigi

A waveform channel is considered where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time channel model is introduced that is based on a multi-sample receiver. Tight lower…

Information Theory · Computer Science 2013-03-28 Hassan Ghozlan , Gerhard Kramer

In this work, we propose DiffWave, a versatile diffusion probabilistic model for conditional and unconditional waveform generation. The model is non-autoregressive, and converts the white noise signal into structured waveform through a…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-01 Zhifeng Kong , Wei Ping , Jiaji Huang , Kexin Zhao , Bryan Catanzaro

We demonstrate how conditional generation from diffusion models can be used to tackle a variety of realistic tasks in the production of music in 44.1kHz stereo audio with sampling-time guidance. The scenarios we consider include…

Sound · Computer Science 2023-12-06 Mark Levy , Bruno Di Giorgi , Floris Weers , Angelos Katharopoulos , Tom Nickson

Motivated by the simulation of stable random fields, we consider the issue of discrete approximations of independently scattered stable noise. Two approaches are proposed: grid approximations available when the underlying space is $\bbR^d$…

Probability · Mathematics 2009-03-10 Clément Dombry

Diffusion models proved to be powerful models for generative speech enhancement. In recent SGMSE+ approaches, training involves a stochastic differential equation for the diffusion process, adding both Gaussian and environmental noise to…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-14 Bunlong Lay , Timo Gerkmann
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