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A flood of reliable seismic data will soon arrive. The migration to larger telescopes on the ground may free up 4-m class instruments for multi-site campaigns, and several forthcoming satellite missions promise to yield nearly uninterrupted…

Astrophysics · Physics 2007-05-23 Travis S. Metcalfe

The goal in {\em reconfiguration problems} is to compute a {\em gradual transformation} between two feasible solutions of a problem such that all intermediate solutions are also feasible. In the {\em Matching Reconfiguration Problem} (MRP),…

Data Structures and Algorithms · Computer Science 2020-05-07 Noam Solomon , Shay Solomon

This paper presents Latent Sampling-based Motion Planning (L-SBMP), a methodology towards computing motion plans for complex robotic systems by learning a plannable latent representation. Recent works in control of robotic systems have…

Robotics · Computer Science 2018-11-07 Brian Ichter , Marco Pavone

A metric-field approach to gravitation is presented. It is based on an idea of dependency of space-time properties on measuring instruments. Some bimetric equations that realize this idea are considered. They were tested by the binary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. V. Verozub

This paper introduces an online approach for identifying time-varying subspaces defined by linear dynamical systems. The approach of representing linear systems by non-parametric subspace models has received significant interest in the…

Systems and Control · Electrical Eng. & Systems 2025-12-01 András Sasfi , Alberto Padoan , Ivan Markovsky , Florian Dörfler

Inverse problems describe the process of estimating the causal factors from a set of measurements or data. Mapping of often incomplete or degraded data to parameters is ill-posed, thus data-driven iterative solutions are required, for…

Artificial Intelligence · Computer Science 2024-06-21 Weitong Zhang , Chengqi Zang , Liu Li , Sarah Cechnicka , Cheng Ouyang , Bernhard Kainz

This paper presents novel reconfigurable architectures for reducing the latency of recurrent neural networks (RNNs) that are used for detecting gravitational waves. Gravitational interferometers such as the LIGO detectors capture cosmic…

Land surface temperature (LST) retrieval from remote sensing data is pivotal for analyzing climate processes and surface energy budgets. However, LST retrieval is an ill-posed inverse problem, which becomes particularly severe when only a…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Tian Xie , Menghui Jiang , Huanfeng Shen , Huifang Li , Chao Zeng , Jun Ma , Guanhao Zhang , Liangpei Zhang

The gravity field maps of the satellite gravimetry missions GRACE (Gravity Recovery and Climate Experiment) and GRACE Follow-On are derived by means of precise orbit determination. The key observation is the biased inter-satellite range,…

Instrumentation and Methods for Astrophysics · Physics 2021-04-12 Yihao Yan , Vitali Müller , Gerhard Heinzel , Min Zhong

The large-scale three-dimensional inversion of surface gravity / tensor gravity data is a very challenging numerical and practical problem, which is a highly physical memory usage, time-consuming computation and high precision for…

Geophysics · Physics 2020-05-21 Shu-jin Cao

An innovative orbit determination method which makes use of gravity gradients for Low-Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is briefly reviewed and the sources of measurement error are…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

Earth observation (EO) by airborne and satellite remote sensing and in-situ observations play a fundamental role in monitoring our planet. In the last decade, machine learning and Gaussian processes (GPs) in particular has attained…

Machine Learning · Computer Science 2020-07-03 Gustau Camps-Valls , Dino Sejdinovic , Jakob Runge , Markus Reichstein

We aim to solve the problem of spatially localizing composite instructions referring to space: space grounding. Compared to current instance grounding, space grounding is challenging due to the ill-posedness of identifying locations…

Robotics · Computer Science 2024-07-03 Dohyun Kim , Nayoung Oh , Deokmin Hwang , Daehyung Park

We present a dynamic subspace approach for efficiently approximating large-scale systems by learning time-continuous trajectories on the Grassmannian manifold. By parameterizing a low-dimensional basis as a geodesic path, the method allows…

Numerical Analysis · Mathematics 2026-05-26 Jack DeChant , Rudy Geelen , Shane A. McQuarrie , Johann Guilleminot

We present here the new results obtained with the INPOP planetary ephemerides and BepiColombo radio-science simulations. We give new constraints for the classic General Relativity tests in terms of violation of the PPN parameters $\beta$…

General Relativity and Quantum Cosmology · Physics 2022-11-10 A. Fienga , L. Bernus , O. Minazzoli , A. Hees , L. Bigot , C. Herrera , V. Mariani , A. Di Ruscio , D. Durante , D. Mary

We present a general framework to study uniqueness, stability and reconstruction for infinite-dimensional inverse problems when only a finite-dimensional approximation of the measurements is available. For a large class of inverse problems…

Analysis of PDEs · Mathematics 2021-11-10 Giovanni S. Alberti , Matteo Santacesaria

Several problems in machine learning, statistics, and other fields rely on computing eigenvectors. For large scale problems, the computation of these eigenvectors is typically performed via iterative schemes such as subspace iteration or…

Numerical Analysis · Mathematics 2020-11-03 Vasileios Charisopoulos , Austin R. Benson , Anil Damle

We introduce three algorithms that invert simulated gravity data to 3D subsurface rock/flow properties. The first algorithm is a data-driven, deep learning-based approach, the second mixes a deep learning approach with physical modeling…

Machine Learning · Computer Science 2023-07-19 Adrian Celaya , Bertrand Denel , Yen Sun , Mauricio Araya-Polo , Antony Price

We present a randomized maximum a posteriori (rMAP) method for generating approximate samples of posteriors in high dimensional Bayesian inverse problems governed by large-scale forward problems. We derive the rMAP approach by: 1) casting…

Computation · Statistics 2016-02-12 Kainan Wang , Tan Bui-Thanh , Omar Ghattas

Applications in data science, shape analysis and object classification frequently require comparison of probability distributions defined on different ambient spaces. To accomplish this, one requires a notion of distance on a given class of…

Metric Geometry · Mathematics 2022-07-19 Facundo Mémoli , Tom Needham
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