Towards Inverse Modeling of Landscapes Using the Wasserstein Distance

Morris, M.; Lipp, Alex

doi:10.1029/2023gl103880

Geophysical Research Letters

2023

DOI: 10.1029/2023gl103880

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Towards Inverse Modeling of Landscapes Using the Wasserstein Distance

M. Morris

Alex Lipp

Abstract: The use of the Wasserstein distance for identifying optimal landscape evolution models is demonstrated • This approach can produce simple objective functions, simplifying the search for models that minimize data misfit • Accurate amplitudes and locations of uplift can be retrieved from synthetic landscapes generated using different initial conditions

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2024

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Kalman tracking and parameter estimation of continuous gravitational waves with a pulsar timing array

Kimpson,

Melatos,

O’Leary

et al. 2024

Monthly Notices of the Royal Astronomical Society

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Continuous nanohertz gravitational waves from individual supermassive black hole binaries may be detectable with pulsar timing arrays. A novel search strategy is developed, wherein intrinsic achromatic spin wandering is tracked simultaneously with the modulation induced by a single gravitational wave source in the pulse times of arrival. A two-step inference procedure is applied within a state-space framework, such that the modulation is tracked with a Kalman filter, which then provides a likelihood for nested sampling. The procedure estimates the static parameters in the problem, such as the sky position of the source, without fitting for ensemble-averaged statistics such as the power spectral density of the timing noise, and therefore complements traditional parameter estimation methods. It also returns the Bayes factor relating a model with a single gravitational wave source to one without, complementing traditional detection methods. It is shown via astrophysically representative software injections in Gaussian measurement noise that the procedure distinguishes a gravitational wave from pure noise down to a characteristic wave strain of $h_0 \approx 2 \times 10^{-15}$. Full posterior distributions of model parameters are recovered and tested for accuracy. There is a bias of $\approx 0.3$ rad in the marginalized one-dimensional posterior for the orbital inclination $\iota$, introduced by dropping the so-called pulsar terms. Smaller biases $\lesssim 10~{{\ \rm per\ cent}}$ are also observed in other static parameters.

show abstract

Kalman tracking and parameter estimation of continuous gravitational waves with a pulsar timing array

Kimpson,

Melatos,

O’Leary

et al. 2024

Monthly Notices of the Royal Astronomical Society

View full text Add to dashboard Cite

show abstract

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Towards Inverse Modeling of Landscapes Using the Wasserstein Distance

Cited by 1 publication

References 38 publications

Kalman tracking and parameter estimation of continuous gravitational waves with a pulsar timing array

Kalman tracking and parameter estimation of continuous gravitational waves with a pulsar timing array

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