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The idea of using fast sweeping methods for solving stationary systems of conservation laws has previously been proposed for efficiently computing solutions with sharp shocks. We further develop these methods to allow for a more challenging…

Numerical Analysis · Mathematics 2015-05-20 Bjorn Engquist , Brittany D. Froese , Yen-Hsi Richard Tsai

We investigate the calibration of estimations to increase performance with an optimal monotone transform on the estimator outputs. We start by studying the traditional square error setting with its weighted variant and show that the optimal…

Machine Learning · Computer Science 2021-11-02 Kaan Gokcesu , Hakan Gokcesu

Spectral imaging technologies have rapidly evolved during the past decades. The recent development of single-camera-one-shot techniques for hyperspectral imaging allows multiple spectral bands to be captured simultaneously (3x3, 4x4 or 5x5…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Eric L. Wisotzky , Charul Daudkhane , Anna Hilsmann , Peter Eisert

Deep image matting methods have achieved increasingly better results on benchmarks (e.g., Composition-1k/alphamatting.com). However, the robustness, including robustness to trimaps and generalization to images from different domains, is…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Yutong Dai , Brian Price , He Zhang , Chunhua Shen

We propose a model reduction procedure for rapid and reliable solution of parameterized hyperbolic partial differential equations. Due to the presence of parameter-dependent shock waves and contact discontinuities, these problems are…

Numerical Analysis · Mathematics 2020-10-20 Tommaso Taddei , Lei Zhang

Embedded boundary methods alleviate many computational challenges, including those associated with meshing complex geometries and solving problems with evolving domains and interfaces. Developing model reduction methods for computational…

Computational Physics · Physics 2014-07-09 Maciej Balajewicz , Charbel Farhat

Given a set of solution snapshots of a hyperbolic PDE, we are interested in learning a reduced order model (ROM). To this end, we propose a novel decompose then learn approach. We decompose the solution by expressing it as a composition of…

Numerical Analysis · Mathematics 2021-09-14 Neeraj Sarna , Peter Benner

We propose a new model-order reduction framework to poorly reducible problems arising from parametric partial differential equations with geometric variability. In such problems, the solution manifold exhibits a slowly decaying Kolmogorov…

Numerical Analysis · Mathematics 2025-10-30 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Traditional vision-based autonomous driving systems often face difficulties in navigating complex environments when relying solely on single-image inputs. To overcome this limitation, incorporating temporal data such as past image frames or…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Tuong Do , Binh X. Nguyen , Quang D. Tran , Erman Tjiputra , Te-Chuan Chiu , Anh Nguyen

In many applications, for instance when describing dynamics of fluids or gases, hyperbolic conservation laws arise naturally in the modeling of conserved quantities of a system, like mass or energy. These types of equations exhibit highly…

Numerical Analysis · Mathematics 2022-03-14 Hendrik Kleikamp , Mario Ohlberger , Stephan Rave

Dynamic mode decomposition (DMD) has recently become a popular tool for the non-intrusive analysis of dynamical systems. Exploiting Proper Orthogonal Decomposition (POD) as a dimensionality reduction technique, DMD is able to approximate a…

Numerical Analysis · Mathematics 2024-01-17 Francesco Andreuzzi , Nicola Demo , Gianluigi Rozza

We propose a snapshots-based method to compute reduction subspaces for physics-based simulations. Our method is applicable to any mesh with some artistic prior knowledge of the solution and only requires a record of existing solutions…

Dynamical Systems · Mathematics 2025-02-12 Shaimaa Monem , Peter Benner , Christian Lessig

Slice discovery methods (SDMs) are prominent algorithms for finding systematic weaknesses in DNNs. They identify top-k semantically coherent slices/subsets of data where a DNN-under-test has low performance. For being directly useful,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Sujan Sai Gannamaneni , Rohil Prakash Rao , Michael Mock , Maram Akila , Stefan Wrobel

The demand for multimodal sensing systems for robotics is growing due to the increase in robustness, reliability and accuracy offered by these systems. These systems also need to be spatially and temporally co-registered to be effective. In…

Robotics · Computer Science 2020-01-20 Chanoh Park , Peyman Moghadam , Soohwan Kim , Sridha Sridharan , Clinton Fookes

We introduce a method for manifold alignment of different modalities (or domains) of remote sensing images. The problem is recurrent when a set of multitemporal, multisource, multisensor and multiangular images is available. In these…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Devis Tuia , Michele Volpi , Maxime Trolliet , Gustau Camps-Valls

Neuromorphic sampling is a paradigm shift in analog-to-digital conversion where the acquisition strategy is opportunistic and measurements are recorded only when there is a significant change in the signal. Neuromorphic sampling has given…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Abijith Jagannath Kamath , Chandra Sekhar Seelamantula

We shall derive and propose several efficient overlapping domain decomposition methods for solving some typical linear inverse problems, including the identiffication of the flux, the source strength and the initial temperature in second…

Numerical Analysis · Mathematics 2013-09-10 Jiang Daijun , Feng Hui , Zou Jun

Calibration in a multi camera network has widely been studied for over several years starting from the earlier days of photogrammetry. Many authors have presented several calibration algorithms with their relative advantages and…

Computer Vision and Pattern Recognition · Computer Science 2010-11-03 Ayan Chaudhury , Abhishek Gupta , Sumita Manna , Subhadeep Mukherjee , Amlan Chakrabarti

Camera calibration is a process of paramount importance in computer vision applications that require accurate quantitative measurements. The popular method developed by Zhang relies on the use of a large number of images of a planar grid of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Katia Genovese

Entropy-based (M_N) moment closures for kinetic equations are defined by a constrained optimization problem that must be solved at every point in a space-time mesh, making it important to solve these optimization problems accurately and…

Computational Physics · Physics 2015-06-16 Graham W. Alldredge , Cory D. Hauck , Dianne P. O'Leary , André L. Tits