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Given a window $\phi \in L^2(\mathbb R),$ and lattice parameters $\alpha, \beta>0,$ we introduce a bimodal Wilson system $\mathcal{W}(\phi, \alpha, \beta)$ consisting of linear combinations of at most two elements from an associated Gabor…

Functional Analysis · Mathematics 2018-12-20 Divyang G. Bhimani , Kasso A. Okoudjou

Learning suitable Whole slide images (WSIs) representations for efficient retrieval systems is a non-trivial task. The WSI embeddings obtained from current methods are in Euclidean space not ideal for efficient WSI retrieval. Furthermore,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Sobhan Hemati , Shivam Kalra , Morteza Babaie , H. R. Tizhoosh

Segmenting curvilinear structures in medical images is essential for analyzing morphological patterns in clinical applications. Integrating topological properties, such as connectivity, improves segmentation accuracy and consistency.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Zhuangzhi Gao , Feixiang Zhou , He Zhao , Xiuju Chen , Xiaoxin Li , Qinkai Yu , Yitian Zhao , Alena Shantsila , Gregory Y. H. Lip , Eduard Shantsila , Yalin Zheng

The decays $B_d^0\to J/\psi K^0_{\text{S}}$and $B_s^0\to J/\psi\phi$ play a key role for the determination of the $B^0_q$-$\bar B^0_q$ ($q=d,s$) mixing phases $\phi_d$ and $\phi_s$, respectively. The theoretical precision of the extraction…

High Energy Physics - Phenomenology · Physics 2021-04-29 Marten Z. Barel , Kristof De Bruyn , Robert Fleischer , Eleftheria Malami

The Burrows-Wheeler transform (BWT) is a reversible transform that converts a string $w$ into another string $\mathsf{BWT}(w)$. The size of the run-length encoded BWT (RLBWT) can be interpreted as a measure of repetitiveness in the class of…

Discrete Mathematics · Computer Science 2024-11-19 Hideo Bannai , Tomohiro I , Yuto Nakashima

Methods based on hypothesis tests (HTs) in the Haar domain are widely used to denoise Poisson count data. Facing large datasets or real-time applications, Haar-based denoisers have to use the decimated transform to meet limited-memory or…

Statistics Theory · Mathematics 2008-02-25 Bo Zhang , Jalal Fadili , Jean Luc Starck , Seth W. Digel

This contribution outlines the implementation of the matrix element method (MEM) in the search for $\text{t}\bar{\text{t}}$H, H $\rightarrow \text{b}\bar{\text{b}}$ events. In particular, the evaluation of the transfer functions, which…

High Energy Physics - Experiment · Physics 2018-12-21 Maren Meinhard

We introduce a new family of priority-queue data structures: partition-based simple heaps. The structures consist of $O(\log n)$ doubly-linked lists; order is enforced among data in different lists, but the individual lists are unordered.…

Data Structures and Algorithms · Computer Science 2026-03-03 Gerth Stølting Brodal , John Iacono , Casper Moldrup Rysgaard , Sebastian Wild

The Burrows-Wheeler transform (BWT) is used by the bzip2 family of compressors. In this paper, we present a hardware architecture that implements an inplace algorithm to compute the BWT. Our design does not have explicit storage for the…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Kleber Stangherlin , Andrew Kennings

Hypertree decompositions provide a way to evaluate Conjunctive Queries (CQs) in polynomial time, where the exponent of this polynomial is determined by the width of the decomposition. In theory, the goal of efficient CQ evaluation therefore…

Databases · Computer Science 2025-04-22 Matthias Lanzinger , Cem Okulmus , Reinhard Pichler , Alexander Selzer , Georg Gottlob

Seismic waves bring information from the physical properties of the earth to the surface. Full waveform inversion (FWI) is a local optimization technique which tries to invert the recorded wave fields to the physical properties. An…

Geophysics · Physics 2017-12-27 Nasser Kazemi

Accurate understanding of anatomical structures is essential for reliably staging certain dental diseases. A way of introducing this within semantic segmentation models is by utilising hierarchy-aware methodologies. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-02-20 Ryan Banks , Camila Lindoni Azevedo , Hongying Tang , Yunpeng Li

Interferometric Hyperspectral Imaging (IHI) is a critical technique for large-scale remote sensing tasks due to its advantages in flux and spectral resolution. However, IHI is susceptible to complex errors arising from imaging steps, and…

Image and Video Processing · Electrical Eng. & Systems 2025-08-06 Yuansheng Li , Yunhao Zou , Linwei Chen , Ying Fu

High-order surface reconstruction is an important technique for CAD-free, mesh-based geometric and physical modeling, and for high-order numerical methods for solving partial differential equations (PDEs) in engineering applications. In…

Numerical Analysis · Mathematics 2024-12-20 Yipeng Li , Xinglin Zhao , Navamita Ray , Xiangmin Jiao

The projector augmented wave (PAW) method of Bl\"ochl linearly maps smooth pseudo wavefunctions to the highly oscillatory all-electron DFT orbitals. Compared to norm-conserving pseudopotentials (NCPP), PAW has the advantage of lower kinetic…

Chemical Physics · Physics 2023-12-25 Minh Nguyen , Tim Duong , Daniel Neuhauser

Compressed suffix arrays (CSAs) index large repetitive collections and are key in many text applications. The r-index and its derivatives combine the run-length Burrows-Wheeler Transform (BWT) with suffix array sampling to achieve space…

Data Structures and Algorithms · Computer Science 2026-02-20 Diego Díaz-Domínguez , Veli Mäkinen

Urinary bladder cancer surveillance requires tracking tumor sites across repeated interventions, yet the deformable and hollow bladder lacks stable landmarks for orientation. While blood vessels visible during endoscopy offer a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Franziska Krauß , Matthias Ege , Zoltan Lovasz , Albrecht Bartz-Schmidt , Igor Tsaur , Oliver Sawodny , Carina Veil

Energy evaluation using fast Fourier transforms enables sampling billions of putative complex structures and hence revolutionized rigid protein-protein docking. However, in current methods efficient acceleration is achieved only in either…

We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions--the B-spline factorization theorem. In particular, starting from…

Information Theory · Computer Science 2013-07-23 Kunal Narayan Chaudhury , Michael Unser

The formalism for Poisson-Hopf (PH) deformations of Lie-Hamilton systems is refined in one of its crucial points concerning applications, namely the obtention of effective and computationally feasible PH deformed superposition rules for…