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Properties of the recently reported homogeneous Hilbert curves are deduced and reported. The nature of the affine transformations involved in the construction of the Hilbert curves is explored. The analytical representation of proper and…

Algebraic Geometry · Mathematics 2013-11-13 E. Estevez-Rams , I. Brito-Reyes

We consider the problem of extracting curve skeletons of three-dimensional, elongated objects given a noisy surface, which has applications in agricultural contexts such as extracting the branching structure of plants. We describe an…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Amy Tabb , Henry Medeiros

E-graphs are a data structure that compactly represents equivalent expressions. They are constructed via the repeated application of rewrite rules. Often in practical applications, conditional rewrite rules are crucial, but their…

Data Structures and Algorithms · Computer Science 2023-08-16 Samuel Coward , George A. Constantinides , Theo Drane

An approach to calculate radiative corrections to unpolarized cross section of semi-inclusive electroproduction is developed. An explicit formulae for the lowest order QED radiative correction are presented. Detailed numerical analysis is…

High Energy Physics - Phenomenology · Physics 2011-09-13 I. Akushevich , N. Shumeiko , A. Soroko

The last decade has witnessed a rapid growth of the field of exoplanet discovery and characterisation. However, several big challenges remain, many of which could be addressed using machine learning methodology. For instance, the most…

Measuring the brightness of the night sky has become an increasingly important topic in recent years, as artificial lights and their scattering by the Earths atmosphere continue spreading around the globe. Several instruments and techniques…

This paper presents a follow-up to previous work on correcting PSF-induced Doppler artifacts in observations by the SPICE spectrograph on Solar Orbiter. In a previous paper, we demonstrated correction of these artifacts in the $y-\lambda$…

Solar and Stellar Astrophysics · Physics 2026-02-11 J. E. Plowman , D. M. Hassler , M. E. Molnar , A. K. Shrivastav , T. Varesano , F. Auchère , A. Fludra , T. A. Kucera , T. J. Wang , Y. Zhu

A generalization of the Gram-Schmidt procedure is achieved by providing equations for updating and downdating oblique projectors. The work is motivated by the problem of adaptive signal representation outside the orthogonal basis setting.…

Functional Analysis · Mathematics 2009-11-11 Laura Rebollo-Neira

We introduce GMTHRASHpy, a Python-based application to do forward convolution fits of crossed molecular beams experiments. The code is designed to be easy-to-use and widely-available, so as to be of value to anyone wanting to reproduce data…

Chemical Physics · Physics 2025-10-14 Kazuumi Fujioka , Rui Sun

We introduce a method to speed up training by 2x and inference by 3x in deep neural networks using structured pruning applied before training. Unlike previous works on pruning before training which prune individual weights, our work…

Machine Learning · Computer Science 2020-07-02 Joost van Amersfoort , Milad Alizadeh , Sebastian Farquhar , Nicholas Lane , Yarin Gal

Spectral lightcurves consisting of time series single-pixel spectral measurements of spacecraft are used to infer the spacecraft's attitude and rotation. Two methods are used. One based on numerical optimisation of a regularised least…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Simão da Graça Marto , Massimiliano Vasile , Andrew Campbell , Paul Murray , Stephen Marshall , Vasili Savitski

Tools for computing detailed optically thick spectral line profiles out of local thermodynamic equilibrium have always been focused on speed, due to the large computational effort involved. With the Lightweaver framework, we have produced a…

Instrumentation and Methods for Astrophysics · Physics 2021-08-18 Christopher M J Osborne , Ivan Milić

This paper is to introduce an online tool for the prediction of exoplanet transit light curves. Small telescopes can readily capture exoplanet transits under good weather conditions when the combination of a bright star and a large…

Earth and Planetary Astrophysics · Physics 2019-06-26 Peter Beck , Luke Robson , Mark Gallaway , Hugh R. A. Jones , David Campbell

This paper presents a generalized technology of extraction of explicit knowledge from data. The main ideas are 1) maximal reduction of network complexity (not only removal of neurons or synapses, but removal all the unnecessary elements and…

Condensed Matter · Physics 2007-05-23 A. N. Gorban , Eu. M. Mirkes , V. G. Tsaregorodtsev

Visual counterfactual explanations identify modifications to an image that would change the prediction of a classifier. We propose a set of techniques based on generative models (VAE) and a classifier ensemble directly trained in the latent…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Claire Theobald , Frédéric Pennerath , Brieuc Conan-Guez , Miguel Couceiro , Amedeo Napoli

We study the set of all decompositions (clusterings) of a graph through its characterization as a set of lifted multicuts. This leads us to practically relevant insights related to the definition of a class of decompositions by must-join…

Discrete Mathematics · Computer Science 2017-06-09 Andrea Horňáková , Jan-Hendrik Lange , Bjoern Andres

When performing radio detection of ultra-high energy astroparticles, the planar wavefront model is often used as a first step to evaluate the arrival direction of primary particles. This model estimates the direction by adjusting the…

Instrumentation and Methods for Astrophysics · Physics 2025-03-28 Arsène Ferrière , Simon Prunet , Aurélien Benoit-Lévy , Marion Guelfand , Kumiko Kotera , Matías Tueros

While multislice electron ptychography can provide thermal-vibration limited resolution and 3D information, it relies on the proper selection of many intertwined experimental and computational parameters. Here, we outline a theoretical…

Materials Science · Physics 2023-11-28 Colin Gilgenbach , Xi Chen , James M. LeBeau

Shape-based regularization has proven to be a useful method for delineating objects within noisy images where one has prior knowledge of the shape of the targeted object. When a collection of possible shapes is available, the specification…

Computer Vision and Pattern Recognition · Computer Science 2014-05-05 Joshua C. Chang , Tom Chou

We introduce a variational approach for extracting curves between a list of possible endpoints, based on the discretization of an energy and Smirnov's decomposition theorem for vector fields. It is used to design a bi-level minimization…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Majid Arthaud , Antonin Chambolle , Vincent Duval