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Particle Filter is an effective solution to track objects in video sequences in complex situations. Its key idea is to estimate the density over the possible states of the object using a weighted sample whose elements are called particles.…

Computer Vision and Pattern Recognition · Computer Science 2012-10-19 Severine Dubuisson , Christophe Gonzales , Xuan Son NGuyen

We consider the iterative reconstruction of both the internal geometry and the values of an inhomogeneous acoustic refraction index through a piecewise constant approximation. In this context, we propose two enhancements intended to reduce…

Numerical Analysis · Mathematics 2015-06-15 Yann Grisel , Jean-Pierre Raymond , Pierre-Alain Mazet , Vincent Mouysset

The reciprocal function, 1/x, is important for many real-time algorithms. It is used in a large variety of algorithms from areas ranging from iterative estimation to machine learning. Many of these algorithms are iterative in nature and…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Michael Lunglmayr , Oliver Ploder

We introduce a comprehensive benchmark for local features and robust estimation algorithms, focusing on the downstream task -- the accuracy of the reconstructed camera pose -- as our primary metric. Our pipeline's modular structure allows…

Computer Vision and Pattern Recognition · Computer Science 2021-02-12 Yuhe Jin , Dmytro Mishkin , Anastasiia Mishchuk , Jiri Matas , Pascal Fua , Kwang Moo Yi , Eduard Trulls

Construction of multivariate tight framelets is known to be a challenging problem. Multivariate dual framelets with vanishing moments generalize tight framelets and are not easy to be constructed either. Compactly supported multivariate…

Information Theory · Computer Science 2018-06-15 Chenzhe Diao , Bin Han

Iterative refinement -- start with a random guess, then iteratively improve the guess -- is a useful paradigm for representation learning because it offers a way to break symmetries among equally plausible explanations for the data. This…

Machine Learning · Computer Science 2023-01-03 Michael Chang , Thomas L. Griffiths , Sergey Levine

Computational molecular design requires binding arrangements that are not only energetically favorable but also chemically realizable. However, computational methods remain limited in directly recovering fragment pose pairs that can later…

Biomolecules · Quantitative Biology 2026-04-29 Jiyun Lee , You Kyoung Chung , Joonsuk Huh

This paper considers the approximation of the continuous time filtering equation for the case of a multiple timescale (slow-intermediate, and fast scales) that may have correlation between the slow-intermediate process and the observation…

Probability · Mathematics 2020-11-02 Ryne Beeson , N. Sri Namachchivaya , Nicolas Perkowski

Particle filters are a powerful and flexible tool for performing inference on state-space models. They involve a collection of samples evolving over time through a combination of sampling and re-sampling steps. The re-sampling step is…

Computation · Statistics 2017-03-17 Deborshee Sen , Alexandre Thiery , Ajay Jasra

Bilinear models has been shown to achieve impressive performance on a wide range of visual tasks, such as semantic segmentation, fine grained recognition and face recognition. However, bilinear features are high dimensional, typically on…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Yang Gao , Oscar Beijbom , Ning Zhang , Trevor Darrell

This work is concerned with the kernel-based approximation of a complex-valued function from data, where the frequency response function of a partial differential equation in the frequency domain is of particular interest. In this setting,…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Julien Bect , Niklas Georg , Ulrich Römer , Sebastian Schöps

In this work, we explore the use of operator splitting algorithms for solving regularized structural topology optimization problems. The context is the classical structural design problems (e.g., compliance minimization and compliant…

Optimization and Control · Mathematics 2013-07-22 Cameron Talischi , Glaucio H. Paulino

Local Binary Descriptors are becoming more and more popular for image matching tasks, especially when going mobile. While they are extensively studied in this context, their ability to carry enough information in order to infer the original…

Computer Vision and Pattern Recognition · Computer Science 2012-11-07 Emmanuel d'Angelo , Laurent jacques , Alexandre Alahi , Pierre Vandergheynst

We describe an efficient algorithm for computing the matrix vector products that appear in the numerical resolution of boundary integral equations in 2 space dimension. This work is an extension of the so-called Sparse Cardinal Sine…

Numerical Analysis · Mathematics 2017-11-22 Martin Averseng

This paper proposes a robust, high-precision positioning methodology to address localization failures arising from complex background interference in large-scale flight navigation and the computational inefficiency inherent in conventional…

Robotics · Computer Science 2026-01-14 Jing Tao , Banglei Guan , Yang Shang , Shunkun Liang , Qifeng Yu

Software and hardware architectures are prone to modifications. We demonstrate how a mathematically founded powerful refinement calculus for a class of architectures, namely pipe and filter architectures, can be used to modify a system in a…

Software Engineering · Computer Science 2014-11-11 Jan Philipps , Bernhard Rumpe

Single image superresolution has been a popular research topic in the last two decades and has recently received a new wave of interest due to deep neural networks. In this paper, we approach this problem from a different perspective. With…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Weifeng Ge , Bingchen Gong , Yizhou Yu

We introduce a novel deep-learning architecture for image upscaling by large factors (e.g. 4x, 8x) based on examples of pristine high-resolution images. Our target is to reconstruct high-resolution images from their downscale versions. The…

Image and Video Processing · Electrical Eng. & Systems 2019-01-31 Pablo Navarrete Michelini , Hanwen Liu , Dan Zhu

We present a fast and accurate method for dense depth reconstruction from sparsely sampled light fields obtained using a synchronized camera array. In our method, the source images are over-segmented into non-overlapping compact superpixels…

Image and Video Processing · Electrical Eng. & Systems 2018-12-18 Aleksandra Chuchvara , Attila Barsi , Atanas Gotchev

We investigate a family of bilevel imaging learning problems where the lower-level instance corresponds to a convex variational model involving first- and second-order nonsmooth sparsity-based regularizers. By using geometric properties of…

Optimization and Control · Mathematics 2023-03-21 Juan Carlos De los Reyes