Singular value decomposition applied to compact binary coalescence gravitational-wave signals

Abstract

We investigate the application of the singular value decomposition to compact-binary, gravitational-wave data-analysis. We find that the truncated singular value decomposition reduces the number of filters required to analyze a given region of parameter space of compact binary coalescence waveforms by an order of magnitude with high reconstruction accuracy. We also compute an analytic expression for the expected signal-loss due to the singular value decomposition truncation.

4 figures, 6 pages

References in corpus (10)

• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• Detection template families for gravitational waves from the final stages of binary--black-hole inspirals: Nonspinning case
• Rotating stellar core-collapse waveform decompositon: a Principal Component Analysis approach
• Best chirplet chain: near-optimal detection of gravitational wave chirps
• Incorporating information from source simulations into searches for gravitational-wave bursts
• Improving the efficiency of the detection of gravitational wave signals from inspiraling compact binaries: Chebyshev interpolation
• Data Analysis of Gravitational Waves Using A Network of Detectors
• A Nearly Minimum Redundant Correlator Interpolation Formula for Gravitational Wave Chirp Detection
• Gravitational wave detection using multiscale chirplets

Cited by in corpus (68)

• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
• Analysis Framework for the Prompt Discovery of Compact Binary Mergers in Gravitational-wave Data
• Real-time gravitational-wave science with neural posterior estimation
• Toward Early-Warning Detection of Gravitational Waves from Compact Binary Coalescence
• Fast prediction and evaluation of gravitational waveforms using surrogate models
• Frequency domain reduced order models for gravitational waves from aligned-spin compact binaries
• Searching for gravitational waves from binary coalescence
• Fast and Accurate Inference on Gravitational Waves from Precessing Compact Binaries
• PyCBC Live: Rapid Detection of Gravitational Waves from Compact Binary Mergers
• A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
• Detecting binary neutron star systems with spin in advanced gravitational-wave detectors
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• An effectual template bank for the detection of gravitational waves from inspiralling compact binaries with generic spins
• Reduced basis catalogs for gravitational wave templates
• Are stellar-mass black-hole binaries too quiet for LISA?
• Inferring Core-Collapse Supernova Physics with Gravitational Waves
• An early warning system for electromagnetic follow-up of gravitational-wave events
• Summed Parallel Infinite Impulse Response (SPIIR) Filters For Low-Latency Gravitational Wave Detection
• Effective-one-body waveforms for binary neutron stars using surrogate models
• Gravitational wave parameter estimation with compressed likelihood evaluations
• Template banks to search for low-mass binary black holes in advanced gravitational-wave detectors
• A self-consistent method to estimate the rate of compact binary coalescences with a Poisson mixture model
• Two-step greedy algorithm for reduced order quadratures
• Targeted Sub-threshold Search for Strongly-lensed Gravitational-wave Events
• A Student-t based filter for robust signal detection
• Second Einstein Telescope Mock Data and Science Challenge: Low Frequency Binary Neutron Star Data Analysis
• Efficiently enclosing the compact binary parameter space by singular-value decomposition
• Towards low-latency real-time detection of gravitational waves from compact binary coalescences in the era of advanced detectors
• Tiling strategies for optical follow-up of gravitational wave triggers by wide field of view telescopes
• Towards Rapid Parameter Estimation on Gravitational Waves from Compact Binaries using Interpolated Waveforms
• Singular value decomposition in parametrised tests of post-Newtonian theory
• Inferring the core-collapse supernova explosion mechanism with three-dimensional gravitational-wave simulations
• Towards beating the curse of dimensionality for gravitational waves using Reduced Basis
• Interpolating compact binary waveforms using the singular value decomposition
• Reduced Basis representations of multi-mode black hole ringdown gravitational waves
• Reduced Order and Surrogate Models for Gravitational Waves
• Template bank for compact binary mergers in the fourth observing run of Advanced LIGO, Advanced Virgo, and KAGRA
• Simulating Transient Noise Bursts in LIGO with Generative Adversarial Networks
• Is J enough? Comparison of gravitational waves emitted along the total angular momentum direction with other preferred orientations
• Fast likelihood evaluation using meshfree approximations for reconstructing compact binary sources
• Interpolation in waveform space: enhancing the accuracy of gravitational waveform families using numerical relativity
• PyROQ: a Python-based Reduced Order Quadrature Building Code for Fast Gravitational Wave Inference
• Performance of Particle Swarm Optimization on the fully-coherent all-sky search for gravitational waves from compact binary coalescences
• Hierarchical approach to matched filtering using a reduced basis
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Prompt sky localization of compact binary sources using a meshfree approximation
• Characterization of low-significance gravitational-wave compact binary sources
• Rapidly evaluating the compact binary likelihood function via interpolation
• Composite gravitational-wave detection of compact binary coalescence
• An optimal ${\chi }^2$ discriminator against modelled noise-transients in interferometric data in searches for binary black-hole mergers
• Statistical constraints on binary black hole inspiral dynamics
• Hierarchical search strategy for the efficient detection of gravitational waves from non-precessing coalescing compact binaries with aligned-spins
• The balancing act of template bank construction: inspiral waveform template banks for gravitational-wave detectors and optimizations at fixed computational cost
• Pinpointing coalescing binary neutron star sources with the IGWN, including LIGO-Aundha
• Enhancing gravitational waveform models through dynamic calibration
• Fast prediction and evaluation of eccentric inspirals using reduced-order models
• Exposing Gravitational Waves below the Quantum Shot Noise
• Faster cosmological analysis with power spectrum without simulations
• Gravitational-wave searches in the era of Advanced LIGO and Virgo
• Random projections in gravitational wave searches of compact binaries
• Localizing gravitational wave sources with optical telescopes and combining electromagnetic and gravitational wave data
• Scalable matched-filtering pipeline for gravitational-wave searches of compact binary mergers
• Compressed convolution
• Tunable compression of template banks for fast gravitational-wave detection and localisation
• Signal-to-noise-ratio and SNR-max detection statistics in template bank searches for exotic physics transients with networks of quantum sensors
• Use of Singular-Value Decomposition in Gravitational-Wave Data Analysis