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We propose a deep-learning based method for obtaining standardized data coordinates from scientific measurements.Data observations are modeled as samples from an unknown, non-linear deformation of an underlying Riemannian manifold, which is…

In one-class-learning tasks, only the normal case (foreground) can be modeled with data, whereas the variation of all possible anomalies is too erratic to be described by samples. Thus, due to the lack of representative data, the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Duc Tam Nguyen , Zhongyu Lou , Michael Klar , Thomas Brox

Technical and environmental noise in ground-based laser interferometers designed for gravitational-wave observations like Advanced LIGO, Advanced Virgo and KAGRA, can manifest as narrow (<1Hz) or broadband ($10'$s or even $100'$s of Hz)…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Christina Reissel , Siddharth Soni , Muhammed Saleem , Michael Coughlin , Philip Harris , Erik Katsavounidis

Manifold learning using deep neural networks been shown to be an effective tool for building sophisticated prior image models that can be applied to noise reduction in low-dose CT. We propose a new iterative CT reconstruction algorithm,…

Medical Physics · Physics 2020-10-20 Matthew Tivnan , J. Webster Stayman

The space-based gravitational wave detector LISA will observe in the low-frequency gravitational-wave band (0.1 mHz up to 1 Hz). LISA will search for a variety of expected signals, and when it detects a signal it will have to determine a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. F. Schutz

We present a data analysis methodology for a model-independent reconstruction of the spectral shape of a stochastic gravitational wave background with LISA. We improve a previously proposed reconstruction algorithm that relied on a single…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-17 Raphael Flauger , Nikolaos Karnesis , Germano Nardini , Mauro Pieroni , Angelo Ricciardone , Jesús Torrado

Understanding low-dimensional structures within high-dimensional data is crucial for visualization, interpretation, and denoising in complex datasets. Despite the advancements in manifold learning techniques, key challenges-such as limited…

Machine Learning · Statistics 2025-04-04 Yafei Shen , Huan-Fei Ma , Ling Yang

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

Machine Learning · Computer Science 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

In this paper we discuss two main problems associated with the analysis of the data from LISA Pathfinder (LPF): i) Excess noise detection and ii) Noise parameter identification. The mission is focused on the low frequency region ([0.1; 10]…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Luigi Ferraioli , Martin Hewitson , Giuseppe Congedo , Miquel Nofrarias , Mauro Hueller , Michele Armano , Stefano Vitale

Blind source separation (BSS) algorithms are unsupervised methods, which are the cornerstone of hyperspectral data analysis by allowing for physically meaningful data decompositions. BSS problems being ill-posed, the resolution requires…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Rémi Carloni Gertosio , Jérôme Bobin , Fabio Acero

The Laser Interferometer Space Antenna (LISA), a spaceborne gravitational wave (GW) detector set to launch in 2035, will observe several stochastic GW backgrounds in the mHz frequency band. At least one of these signals -- arising from the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Malachy Bloom , Alexander Criswell , Vuk Mandic

The Laser Interferometer Space Antenna (LISA), an ESA L-class mission, is designed to detect gravitational waves in the millihertz frequency band, with operations expected to begin in the next decade. LISA will enable studies of…

Instrumentation and Methods for Astrophysics · Physics 2024-12-31 Niklas Houba , Jean-Baptiste Bayle , Michele Vallisneri

We investigate the possible bounds which could be placed on alternative theories of gravity using gravitational wave detection from inspiralling compact binaries with the proposed LISA space interferometer. Specifically, we estimate lower…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Clifford M Will , Nicolas Yunes

The future space-based gravitational-wave detector LISA will deliver rich and information-dense data by listening to the milliHertz Universe. The measured time series will contain the imprint of tens of thousands of detectable Galactic…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Quentin Baghi

This document briefly describes the noise models and shapes used for the synthesis of the Drag-Free and Attitude Control System in the LISA space mission. LISA (Laser Interferometer Space Antenna) is one of the next large-class missions…

Instrumentation and Methods for Astrophysics · Physics 2024-05-07 Michele Pagone , Carlo Novara

Supervised manifold learning methods learn data representations by preserving the geometric structure of data while enhancing the separation between data samples from different classes. In this work, we propose a theoretical study of…

Machine Learning · Computer Science 2018-01-08 Elif Vural , Christine Guillemot

We describe a case study of translational research, applying interpretability techniques developed for computer vision to machine learning models used to search for and find gravitational waves. The models we study are trained to detect…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Mohammadtaher Safarzadeh , Asad Khan , E. A. Huerta , Martin Wattenberg

We propose a physics-informed anomaly detection framework for collider data based on a Bayesian latent diffusion model. Our method combines a probabilistic encoder with diffusion dynamics in the latent space, allowing for stable and…

Data Analysis, Statistics and Probability · Physics 2026-03-27 Jigar Patel , Tommaso Dorigo

Recently, there has been much interest in spectral approaches to learning manifolds---so-called kernel eigenmap methods. These methods have had some successes, but their applicability is limited because they are not robust to noise. To…

Machine Learning · Computer Science 2011-12-30 Byron Boots , Geoffrey J. Gordon

It was shown in a previous work that the data combinations canceling laser frequency noise constitute a module - the module of syzygies. The cancellation of laser frequency noise is crucial for obtaining the requisite sensitivity for LISA.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. Rajesh Nayak , S. V. Dhurandhar , A. Pai , J-Y Vinet
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