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In this paper, we consider the estimation of regression coefficients and signal-to-noise (SNR) ratio in high-dimensional Generalized Linear Models (GLMs), and explore their implications in inferring popular estimands such as average…

Statistics Theory · Mathematics 2025-05-07 Xingyu Chen , Lin Liu , Rajarshi Mukherjee

Signal-to-noise ratios are a widely used concept for astroparticle radio detectors, such as air-shower radio arrays for cosmic-ray measurements or detectors searching for radio signals induced by neutrino interactions in ice. Nonetheless,…

Instrumentation and Methods for Astrophysics · Physics 2023-06-12 Frank G. Schröder , Amy L. Connolly , Tim Huege , Abdul Rehman

Data assimilation is uniquely challenging in weather forecasting due to the high dimensionality of the employed models and the nonlinearity of the governing equations. Although current operational schemes are used successfully, our…

Atmospheric and Oceanic Physics · Physics 2018-05-09 Lea Oljača , Jochen Bröcker , Tobias Kuna

We show that the gradient estimates used in training Deep Gaussian Processes (DGPs) with importance-weighted variational inference are susceptible to signal-to-noise ratio (SNR) issues. Specifically, we show both theoretically and via an…

Machine Learning · Statistics 2021-07-22 Tim G. J. Rudner , Oscar Key , Yarin Gal , Tom Rainforth

High signal to noise ratio (SNR) consistency of model selection criteria in linear regression models has attracted a lot of attention recently. However, most of the existing literature on high SNR consistency deals with model order…

Machine Learning · Statistics 2017-03-13 Sreejith Kallummil , Sheetal Kalyani

Generalized linear models are one of the most efficient paradigms for predicting the correlated stochastic activity of neuronal networks in response to external stimuli, with applications in many brain areas. However, when dealing with…

Disordered Systems and Neural Networks · Physics 2020-11-17 Gabriel Mahuas , Giulio Isacchini , Olivier Marre , Ulisse Ferrari , Thierry Mora

Generative models based on denoising diffusion techniques have led to an unprecedented increase in the quality and diversity of imagery that is now possible to create with neural generative models. However, most contemporary…

Machine Learning · Computer Science 2022-11-24 Vikram Voleti , Christopher Pal , Adam Oberman

Score-based model research in the last few years has produced state of the art generative models by employing Gaussian denoising score-matching (DSM). However, the Gaussian noise assumption has several high-dimensional limitations,…

Machine Learning · Computer Science 2022-04-13 Jacob Deasy , Nikola Simidjievski , Pietro Liò

We propose a Bayesian, noisy-input, spatial-temporal generalised additive model to examine regional relative sea-level (RSL) changes over time. The model provides probabilistic estimates of component drivers of regional RSL change via the…

Applications · Statistics 2025-09-26 Maeve Upton , Andrew Parnell , Andrew Kemp , Erica Ashe , Gerard McCarthy , Niamh Cahill

A new algorithm is presented for reconstructing stochastic nonlinear dynamical models from noisy time-series data. The approach is analytical; consequently, the resulting algorithm does not require an extensive global search for the model…

Other Condensed Matter · Physics 2009-11-10 V. N. Smelyanskiy , D. G. Luchinsky , D. A. Timucin , A. Bandrivskyy

Diffusion Probabilistic Models have demonstrated remarkable performance across a wide range of generative tasks. However, we have observed that these models often suffer from a Signal-to-Noise Ratio-timestep (SNR-t) bias. This bias refers…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Meng Yu , Lei Sun , Jianhao Zeng , Xiangxiang Chu , Kun Zhan

We consider the problem of denoising with the help of prior information taken from a database of clean signals or images. Denoising with variational methods is very efficient if a regularizer well adapted to the nature of the data is…

Machine Learning · Computer Science 2023-10-06 Hui Shi , Yann Traonmilin , J-F Aujol

In this paper, we propose an analytical model to estimate the signal-to-noise ratio (SNR) at the output of an adaptive equalizer in intensity modulation and direct detection (IMDD) optical transmission systems affected by shot noise,…

Numerical Analysis · Mathematics 2023-04-24 Giuseppe Rizzelli , Pablo Torres-Ferrera , Fabrizio Forghieri , Roberto Gaudino

Analyzing neural network dynamics via stochastic gradient descent (SGD) is crucial to building theoretical foundations for deep learning. Previous work has analyzed structured inputs within the \textit{hidden manifold model}, often under…

Machine Learning · Statistics 2025-12-01 Jaeyong Bae , Hawoong Jeong

This paper investigates the performance of downlink cellular networks with non-coherent joint (mutlipoint) transmissions and practical channel estimation. Under a stochastic geometry framework, the spatial average signal-to-noise-ratio…

Information Theory · Computer Science 2019-07-02 Stelios Stefanatos , Gerhard Wunder

Deep metric learning, which learns discriminative features to process image clustering and retrieval tasks, has attracted extensive attention in recent years. A number of deep metric learning methods, which ensure that similar examples are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Tongtong Yuan , Weihong Deng , Jian Tang , Yinan Tang , Binghui Chen

We provide new single-integral formulas of the power spectral density of single-channel and cross-channel nonlinear interference in highly-dispersed coherent optical links for which the Gaussian Noise model [1], [2] applies.

Optics · Physics 2013-09-03 Alberto Bononi , Ottma Beucher

Understanding the effect of uncertainty and noise in data on machine learning models (MLM) is crucial in developing trust and measuring performance. In this paper, a new model is proposed to quantify uncertainties and noise in data on MLMs.…

Machine Learning · Computer Science 2024-12-10 Usman Anjum , Chris Trentman , Elrod Caden , Justin Zhan

This letter generalizes noise modulation by introducing two voltage biases and employing non-Gaussian noise distributions, such as Mixture of Gaussian (MoG) and Laplacian, in addition to traditional Gaussian noise. The proposed framework…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Hadi Zayyani , Mohammad Salman , Felipe A. P. de Figueiredo , Rausley A. A. de Souza

Deep learning (DL)-based autoencoder is a potential architecture to implement end-to-end communication systems. In this letter, we first give a brief introduction to the autoencoder-represented communication system. Then, we propose a novel…

Information Theory · Computer Science 2018-07-09 Xiao Chen , Liang Wu , Zaichen Zhang