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Anisotropic decompositions using representation systems such as curvelets, contourlet, or shearlets have recently attracted significantly increased attention due to the fact that they were shown to provide optimally sparse approximations of…

Functional Analysis · Mathematics 2015-03-17 Gitta Kutyniok

Three-dimensional seismic full-waveform inversion (FWI) provides high-fidelity subsurface velocity models but is restricted by high computational cost, strong nonlinearity, cycle-skipping, and heavy dependence on initial models. Although…

Geophysics · Physics 2026-03-19 Guoxin Chen , Wenjie Wang , Haiyang Lu , Jinxin Chen

Volumetric maps are widely used in robotics due to their desirable properties in applications such as path planning, exploration, and manipulation. Constant advances in mapping technologies are needed to keep up with the improvements in…

Robotics · Computer Science 2023-06-05 Victor Reijgwart , Cesar Cadena , Roland Siegwart , Lionel Ott

We develop a sparse multiscale operator-adapted wavelet decomposition-based finite element method (FEM) on unstructured polygonal mesh hierarchies obtained via a coarsening procedure. Our approach decouples different resolution levels,…

Computational Physics · Physics 2025-12-19 Furkan Şık , F. L. Teixeira , B. Shanker

In this article, we introduce the concept of samplets by transferring the construction of Tausch-White wavelets to the realm of data. This way we obtain a multilevel representation of discrete data which directly enables data compression,…

Numerical Analysis · Mathematics 2021-11-17 Helmut Harbrecht , Michael Multerer

We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features…

Machine Learning · Computer Science 2024-10-08 Aysin Tumay , Mustafa E. Aydin , Ali T. Koc , Suleyman S. Kozat

Inversion techniques are widely used to reconstruct subsurface physical properties (e.g., velocity, conductivity) from surface-based geophysical measurements (e.g., seismic, electric/magnetic (EM) data). The problems are governed by partial…

Machine Learning · Computer Science 2022-06-17 Yinan Feng , Yinpeng Chen , Shihang Feng , Peng Jin , Zicheng Liu , Youzuo Lin

Iterative geostatistical seismic inversion integrates seismic and well data to infer the spatial distribution of subsurface elastic properties. These methods provide limited assessment to the spatial uncertainty of the inverted elastic…

The inversion of electromagnetic induction data to a conductivity profile is an ill-posed problem. Regularization improves the stability of the inversion and, based on Occam's razor principle, a smoothing constraint is typically used.…

Geophysics · Physics 2021-05-19 Wouter Deleersnyder , Benjamin Maveau , Thomas Hermans , David Dudal

Recent applications of machine learning algorithms in the seismic domain have shown great potential in different areas such as seismic inversion and interpretation. However, such algorithms rarely enforce geophysical constraints - the lack…

Geophysics · Physics 2019-08-22 Motaz Alfarraj , Ghassan AlRegib

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

Methodology · Statistics 2023-10-02 Navid Shervani-Tabar

Employing voice-based emotion recognition function in artificial intelligence (AI) product will improve the user experience. Most of researches that have been done only focus on the speech collected under controlled conditions. The…

Audio and Speech Processing · Electrical Eng. & Systems 2018-03-06 Fei Tao , Gang Liu , Qingen Zhao

Time-frequency analysis has been applied successfully in many fields. However, the traditional methods, like short time Fourier transform and Cohen distribution, suffer from the low resolution or the interference of the cross terms. To…

Signal Processing · Electrical Eng. & Systems 2018-04-17 Yingpin Chen , Zhenming Peng , Ali Gholami , Jingwen Yan , Shu Li

We present a novel approach for the construction of ensemble classifiers based on dimensionality reduction. Dimensionality reduction methods represent datasets using a small number of attributes while preserving the information conveyed by…

Machine Learning · Computer Science 2013-05-21 Alon Schclar , Lior Rokach , Amir Amit

Acquiring seismic data from irregular topographic surface is oftently oppressed by irregular and nonequivalent source-receiver arrays and even more it yields bad traces after storing the original signal. In the light of preprocessing…

Geophysics · Physics 2023-04-27 Hussein Muhammed

Recently, a number of mostly $\ell_1$-norm regularized least squares type deterministic algorithms have been proposed to address the problem of \emph{sparse} adaptive signal estimation and system identification. From a Bayesian perspective,…

We propose a new deep learning model, WaveCastNet, to forecast high-dimensional wavefields. WaveCastNet integrates a convolutional long expressive memory architecture into a sequence-to-sequence forecasting framework, enabling it to model…

Machine Learning · Computer Science 2025-10-28 Dongwei Lyu , Rie Nakata , Pu Ren , Michael W. Mahoney , Arben Pitarka , Nori Nakata , N. Benjamin Erichson

We present a new framework for the robust estimation of latent time series models which is fairly general and, for example, covers models going from ARMA to state-space models. This approach provides estimators which are (i) consistent and…

Methodology · Statistics 2016-08-23 Stephane Guerrier , Roberto Molinari

We propose a nonlinear, wavelet based signal representation that is translation invariant and robust to both additive noise and random dilations. Motivated by the multi-reference alignment problem and generalizations thereof, we analyze the…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Matthew Hirn , Anna Little

Geographical, physical, or economic constraints often result in missing traces within seismic data, making the reconstruction of complete seismic data a crucial step in seismic data processing. Traditional methods for seismic data…

Machine Learning · Computer Science 2024-09-20 Shuang Wang , Fei Deng , Peifan Jiang , Zishan Gong , Xiaolin Wei , Yuqing Wang