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Recent work has shown that the prior over functions induced by a deep Bayesian neural network (BNN) behaves as a Gaussian process (GP) as the width of all layers becomes large. However, many BNN applications are concerned with the BNN…

Machine Learning · Statistics 2020-11-30 Jiri Hron , Yasaman Bahri , Roman Novak , Jeffrey Pennington , Jascha Sohl-Dickstein

The matched filtering paradigm is the mainstay of gravitational wave (GW) searches from astrophysical coalescing compact binaries. The compact binary coalescence (CBC) search pipelines perform the matched filter between the GW detector's…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Chetan Verma , Amit Reza , Dilip Krishnaswamy , Sarah Caudill , Gurudatt Gaur

Ground-based gravitational wave laser interferometers (LIGO, GEO-600, Virgo and Tama-300) have now reached high sensitivity and duty cycle. We present a Bayesian evidence-based approach to the search for gravitational waves, in particular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John Veitch , Alberto Vecchio

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

We currently lack good waveform models for many gravitational wave sources. Examples where models are lacking include neutron star post merger signals, core collapse supernovae, and signals of unknown origin. Wavelet based techniques have…

General Relativity and Quantum Cosmology · Physics 2024-04-19 Toral Gupta , Neil Cornish

Neural networks are used extensively in classification problems in particle physics research. Since the training of neural networks can be viewed as a problem of inference, Bayesian learning of neural networks can provide more optimal and…

Data Analysis, Statistics and Probability · Physics 2007-07-09 Michael Pogwizd , Laura Jane Elgass , Pushpalatha C. Bhat

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

Gravitational wave astronomy has become a reality after the historical detections accomplished during the first observing run of the two advanced LIGO detectors. In the following years, the number of detections is expected to increase…

Instrumentation and Methods for Astrophysics · Physics 2017-02-01 Alejandro Torres-Forné , Antonio Marquina , José A. Font , José M. Ibáñez

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

In searching for continuous gravitational waves over very many ($\approx 10^{17}$) templates , clustering is a powerful tool which increases the search sensitivity by identifying and bundling together candidates that are due to the same…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Banafsheh Beheshtipour , Maria Alessandra Papa

Neural nets have become popular to accelerate parameter inferences, especially for the upcoming generation of galaxy surveys in cosmology. As neural nets are approximative by nature, a recurrent question has been how to propagate the neural…

Instrumentation and Methods for Astrophysics · Physics 2022-07-25 Daniela Grandón , Elena Sellentin

The Bayesian paradigm has the potential to solve core issues of deep neural networks such as poor calibration and data inefficiency. Alas, scaling Bayesian inference to large weight spaces often requires restrictive approximations. In this…

The analysis of gravitational wave data involves many model selection problems. The most important example is the detection problem of selecting between the data being consistent with instrument noise alone, or instrument noise and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neil J. Cornish , Tyson B. Littenberg

Gravitational-wave data analysis demands sophisticated statistical noise models in a bid to extract highly obscured signals from data. In Bayesian model comparison, we choose among a landscape of models by comparing their marginal…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Haochen Wang , Stephen R. Taylor , Michele Vallisneri

Deep learning techniques for gravitational-wave parameter estimation have emerged as a fast alternative to standard samplers $\unicode{x2013}$ producing results of comparable accuracy. These approaches (e.g., DINGO) enable amortized…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Jonas Wildberger , Maximilian Dax , Stephen R. Green , Jonathan Gair , Michael Pürrer , Jakob H. Macke , Alessandra Buonanno , Bernhard Schölkopf

We present a series of new open source deep learning algorithms to accelerate Bayesian full waveform point source inversion of microseismic events. Inferring the joint posterior probability distribution of moment tensor components and…

Geophysics · Physics 2021-08-03 A. Spurio Mancini , D. Piras , A. M. G. Ferreira , M. P. Hobson , B. Joachimi

We develop a new Bayesian framework based on deep neural networks to be able to extrapolate in space-time using historical data and to quantify uncertainties arising from both noisy and gappy data in physical problems. Specifically, the…

Machine Learning · Computer Science 2022-03-14 Xuhui Meng , Liu Yang , Zhiping Mao , Jose del Aguila Ferrandis , George Em Karniadakis

It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Rico K. L. Lo , Ignacio Magana Hernandez

We introduce $\texttt{WaveletNet}$, a wavelet-based neural network architecture to identify and reduce non-Gaussian noise in gravitational wave data. Traditionally, convolutional neural networks (CNNs) have been widely used as a flexible…

Instrumentation and Methods for Astrophysics · Physics 2026-01-27 Arush Pimpalkar , Digvijay Wadekar , Mark Ho-Yeuk Cheung , Emanuele Berti

This work introduces a novel deep learning-based approach for gravitational wave anomaly detection, aiming to overcome the limitations of traditional matched filtering techniques in identifying unknown waveform gravitational wave signals.…

Machine Learning · Computer Science 2025-03-18 Jianqi Yan , Alex P. Leung , Zhiyuan Pei , David C. Y. Hui , Sangin Kim
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