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We present a novel hybrid strategy based on machine learning to improve curvature estimation in the level-set method. The proposed inference system couples enhanced neural networks with standard numerical schemes to compute curvature more…

Machine Learning · Computer Science 2022-09-29 Luis Ángel Larios-Cárdenas , Frédéric Gibou

To highlight the challenges of achieving representation disentanglement for text domain in an unsupervised setting, in this paper we select a representative set of successfully applied models from the image domain. We evaluate these models…

Computation and Language · Computer Science 2021-06-08 Lan Zhang , Victor Prokhorov , Ehsan Shareghi

Time series modeling has attracted extensive research efforts; however, achieving both reliable efficiency and interpretability from a unified model still remains a challenging problem. Among the literature, shapelets offer interpretable…

Machine Learning · Computer Science 2020-12-01 Ziqiang Cheng , Yang Yang , Wei Wang , Wenjie Hu , Yueting Zhuang , Guojie Song

In this paper, we present a theoretical analysis of separating images consisting of pointlike and $C^{ \beta}$-curvelike structures, where $\beta \in (1,2] $. Our approach is based on $l_1$-minimization, in which the sparsity of the desired…

Functional Analysis · Mathematics 2021-08-31 Van Tiep Do , Alex Goeßmann

Due to the emergence of new high resolution numerical weather prediction (NWP) models and the availability of new or more reliable remote sensing data, the importance of efficient spatial verification techniques is growing. Wavelet…

Atmospheric and Oceanic Physics · Physics 2017-04-05 Michael Weniger , Florian Kapp , Petra Friederichs

Surface wave dispersion curve inversion is crucial for estimating subsurface shear-wave velocity (vs), yet traditional methods often face challenges related to computational cost, non-uniqueness, and sensitivity to initial models. While…

Geophysics · Physics 2025-09-09 Feng Liu , Bao Deng , Rui Su , Lei Bai , Wanli Ouyang

An effective way to model the complex real world is to view the world as a composition of basic components of objects and transformations. Although humans through development understand the compositionality of the real world, it is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 T. Takada , W. Shimaya , Y. Ohmura , Y. Kuniyoshi

A recently developed new approach, called ``Empirical Wavelet Transform'', aims to build 1D adaptive wavelet frames accordingly to the analyzed signal. In this paper, we present several extensions of this approach to 2D signals (images). We…

Functional Analysis · Mathematics 2024-11-01 Jerome Gilles , Giang Tran , Stanley Osher

Generating large-scale synthetic data in simulation is a feasible alternative to collecting/labelling real data for training vision-based deep learning models, albeit the modelling inaccuracies do not generalize to the physical world. In…

Computer Vision and Pattern Recognition · Computer Science 2021-01-08 Ajay Kumar Tanwani

Successfully training end-to-end deep networks for real motion deblurring requires datasets of sharp/blurred image pairs that are realistic and diverse enough to achieve generalization to real blurred images. Obtaining such datasets remains…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Guillermo Carbajal , Patricia Vitoria , José Lezama , Pablo Musé

Quantum annealing is typically regarded as a tool for combinatorial optimization, but its coherent dynamics also offer potential for machine learning. We present a model that encodes classical data into an Ising Hamiltonian, evolves it on a…

Multiview Self-Supervised Learning (MSSL) is based on learning invariances with respect to a set of input transformations. However, invariance partially or totally removes transformation-related information from the representations, which…

Machine Learning · Computer Science 2023-11-20 Xavier Suau , Federico Danieli , T. Anderson Keller , Arno Blaas , Chen Huang , Jason Ramapuram , Dan Busbridge , Luca Zappella

With the wider availability of sensor technology, a number of Structural Health Monitoring (SHM) systems are deployed to monitor civil infrastructure. The continuous monitoring provides valuable information about the structure that can help…

Machine Learning · Computer Science 2021-10-20 Monica Arul , Ahsan Kareem

Computed tomography (CT) images are often severely corrupted by artifacts in the presence of metals. Existing supervised metal artifact reduction (MAR) approaches suffer from performance instability on known data due to their reliance on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-11 Jie Wen , Chenhe Du , Xiao Wang , Yuyao Zhang

The most recent advances in medical imaging that have transformed diagnosis, especially in the case of interpreting X-ray images, are actively involved in the healthcare sector. The advent of digital image processing technology and the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-21 Abhishek Swami , Snehal Farande , Atharv Patil , Atharva Parle , Vivekanand Mane , Prathamesh Thorat

We present the source separation framework SCARLET for multi-band images, which is based on a generalization of the Non-negative Matrix Factorization to alternative and several simultaneous constraints. Our approach describes the observed…

Instrumentation and Methods for Astrophysics · Physics 2018-08-14 Peter Melchior , Fred Moolekamp , Maximilian Jerdee , Robert Armstrong , Ai-Lei Sun , James Bosch , Robert Lupton

3-manifolds are commonly represented as triangulations, consisting of abstract tetrahedra whose triangular faces are identified in pairs. The combinatorial sparsity of a triangulation, as measured by the treewidth of its dual graph, plays a…

Computational Geometry · Computer Science 2026-03-13 Kristóf Huszár , Clément Maria

We provide the construction of a set of square matrices whose translates and rotates provide a Parseval frame that is optimal for approximating a given dataset of images. Our approach is based on abstract harmonic analysis techniques.…

Image and Video Processing · Electrical Eng. & Systems 2019-09-05 Davide Barbieri , Carlos Cabrelli , Eugenio Hernández , Ursula Molter

Time series classification is a task that aims at classifying chronological data. It is used in a diverse range of domains such as meteorology, medicine and physics. In the last decade, many algorithms have been built to perform this task…

Machine Learning · Computer Science 2021-06-16 Michael Franklin Mbouopda , Engelbert Mephu Nguifo

Many representation systems on the sphere have been proposed in the past, such as spherical harmonics, wavelets, or curvelets. Each of these data representations is designed to extract a specific set of features, and choosing the best fixed…

Instrumentation and Methods for Astrophysics · Physics 2019-01-23 Florent Sureau , Felix Voigtlaender , Malte Wust , Jean-Luc Starck , Gitta Kutyniok