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A new efficient orthogonalization of the B-spline basis is proposed and contrasted with some previous orthogonalized methods. The resulting orthogonal basis of splines is best visualized as a net of functions rather than a sequence of them.…

Statistics Theory · Mathematics 2020-01-24 Xijia Liu , Hiba Nassar , Krzysztof PodgÓrski

We analyze single particle coherence and interference in the presence of particle loss and derive an inequality that relates the preservation of coherence, the creation of superposition with the vacuum, and the degree of particle loss. We…

Quantum Physics · Physics 2007-05-23 Johan Aberg , Daniel K. L. Oi

We present the results of both laboratory and on sky astrometric characterization of the Gemini Planet Imager (GPI). This characterization includes measurement of the pixel scale of the integral field spectrograph (IFS), the position of the…

We present a comprehensive theory of the circularly polarized luminescence and its dependence on strain in spin-polarized Si and Ge. Symmetries of wavefunctions and interactions are used to derive concise ratios between intensities of the…

Materials Science · Physics 2013-03-12 Pengke Li , Dhara Trivedi , Hanan Dery

An integrated microscope that combines different optical techniques for simultaneous imaging is demonstrated. The microscope enables spectral-domain optical coherence microscopy based on optical backscatter, and multi-photon microscopy for…

Optics · Physics 2009-11-11 C. Vinegoni , T. Ralston , W. Tan , W. Luo , D. L. Marks , S. A. Boppart

Locally refined spline surfaces (LRB) is a representation well suited for scattered data approximation. When a data set has local details in some areas and is largely smooth in other, LR B-splines allow the spatial distribution of degrees…

Numerical Analysis · Mathematics 2020-12-16 Vibeke Skytt , Tor Dokken

In this article, we propose a novel spatial global-local spike-and-slab selection prior for image-on-scalar regression. We consider a Bayesian hierarchical Gaussian process model for image smoothing, that uses a flexible Inverse-Wishart…

Methodology · Statistics 2022-12-19 Zijian Zeng , Meng Li , Marina Vannucci

We introduce a $p_{z}-d$ coupling model Hamiltonian for the $\pi$-graphene/Au bands that predicts a rather large intrinsic spin-orbit (SO) coupling as are being reported in recent experiments and DFT studies. Working within the analytical…

Materials Science · Physics 2019-10-03 Alejandro Lopez , Luis Colmenarez , Mayra Peralta , Francisco Mireles , Ernesto Medina

We propose a fast bivariate smoothing approach for symmetric surfaces that has a wide range of applications. We show how it can be applied to estimate the covariance function in longitudinal data as well as multiple additive covariances in…

Computation · Statistics 2016-09-23 Jona Cederbaum , Fabian Scheipl , Sonja Greven

We measure three-dimensional bispectra of halo intrinsic alignments (IA) and dark matter overdensities in real space from N-body simulations for halos of mass $10^{12}-10^{12.5} M_\odot /h$. We show that their multipoles with respect to the…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-10 Thomas Bakx , Toshiki Kurita , Alexander Eggemeier , Nora Elisa Chisari , Zvonimir Vlah

The main focus of this work is the reconstruction of the signals $f$ and $g_{i}$, $i=1,...,N$, from the knowledge of their sums $h_{i}=f+g_{i}$, under the assumption that $f$ and the $g_{i}$'s can be sparsely represented with respect to two…

Analysis of PDEs · Mathematics 2017-01-10 Giovanni S. Alberti , Habib Ammari

The determination of transverse single-spin asymmetries in experiments involving polarized targets and/or beams may encounter challenges when (1) the magnitude of the polarization varies greatly with time, (2) the polarization magnitude is…

High Energy Physics - Experiment · Physics 2026-02-27 S. F. Pate , H. Arachchige , C. Kuruppu , D. Nawarathne

We study pseudo-Riemannian invariant metrics on bicovariant bimodules over Hopf algebras. We clarify some properties of such metrics and prove that pseudo-Riemannian invariant metrics on a bicovariant bimodule and its cocycle deformations…

Quantum Algebra · Mathematics 2020-07-28 Jyotishman Bhowmick , Sugato Mukhopadhyay

Continuous spline functions are defined as piecewise polynomials on the faces of a polyhedral complex that agree on the intersections of two faces. Splines are used in approximation theory and numerical analysis, with applications in data…

Combinatorics · Mathematics 2026-01-27 Shaheen Nazir , Anne Schilling , Julianna Tymoczko

The success of many computer vision tasks lies in the ability to exploit the interdependency between different image modalities such as intensity and depth. Fusing corresponding information can be achieved on several levels, and one…

Computer Vision and Pattern Recognition · Computer Science 2014-06-26 Martin Kiechle , Tim Habigt , Simon Hawe , Martin Kleinsteuber

Image interpolation in medical area is of high importance as most 3D biomedical volume images are sampled where the distance between consecutive slices significantly greater than the in-plane pixel size due to radiation dose or scanning…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Jiawei Li , Jae Chul Koh , Won-Sook Lee

Despite recent improvements in medical image segmentation, the ability to generalize across imaging contrasts remains an open issue. To tackle this challenge, we implement Feature-wise Linear Modulation (FiLM) to leverage physics knowledge…

Image and Video Processing · Electrical Eng. & Systems 2020-06-05 Olivier Vincent , Charley Gros , Joseph Paul Cohen , Julien Cohen-Adad

Multi-degree splines are piecewise polynomial functions having sections of different degrees. They offer significant advantages over the classical uniform-degree framework, as they allow for modeling complex geometries with fewer degrees of…

Numerical Analysis · Mathematics 2021-02-08 Carolina Vittoria Beccari , Giulio Casciola

Recent particle-particle-$\gamma$ coincident measurements on a $^{28}\rm Si+{}^{28}Si$ resonance have suggested ''vanishing spin alignments''. New analyses for spin alignments by using a molecular model are reported. Different aspects…

Nuclear Theory · Physics 2007-05-23 E. Uegaki , Y. Abe

With the continuous increase in the size and complexity of machine learning models, the need for specialized hardware to efficiently run such models is rapidly growing. To address such a need, silicon-photonic-based neural network (SP-NN)…

Emerging Technologies · Computer Science 2023-08-08 Amin Shafiee , Sanmitra Banerjee , Krishnendu Chakrabarty , Sudeep Pasricha , Mahdi Nikdast