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Spectral clustering is a well-known technique which identifies $k$ clusters in an undirected graph with weight matrix $W\in\mathbb{R}^{n\times n}$ by exploiting its graph Laplacian $L(W)$, whose eigenvalues $0=\lambda_1\leq \lambda_2 \leq…

Numerical Analysis · Mathematics 2023-06-08 Nicola Guglielmi , Stefano Sicilia

Affine Grassmannian has been favored for expressing proximity between lines and planes due to its theoretical exactness in measuring distances among features. Despite this advantage, the existing method can only measure the proximity…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Jaeho Shin , Hyeonjae Gil , Junwoo Jang , Maani Ghaffari , Ayoung Kim

We present Sunyaev-Zel'dovich measurements of 15 massive X-ray selected galaxy clusters obtained with the South Pole Telescope. The Sunyaev-Zel'dovich (SZ) cluster signals are measured at 150 GHz, and concurrent 220 GHz data are used to…

The minimum orbital intersection distance is used as a measure to assess potential close approaches and collision risks between astronomical objects. Methods to calculate this quantity have been proposed in several previous publications.…

Instrumentation and Methods for Astrophysics · Physics 2019-12-25 José Manuel Hedo , Elena Fantino , Manuel Ruíz , Jesús Pelaez

In the last three decades, the Ultra Steep spectrum tecnique has been exploited by many groups since it was demonstrated that radio sources with very steep spectra (Alpha < -1.0) are good tracers of high-z radio galaxies (HzRGs; z>2).…

Astrophysics · Physics 2009-11-07 M. Pedani

The past decade has witnessed significant progress on detecting objects in aerial images that are often distributed with large scale variations and arbitrary orientations. However most of existing methods rely on heuristically defined…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Jiaming Han , Jian Ding , Jie Li , Gui-Song Xia

We present a novel concept for a compact and robust crossed-beam optical dipole trap (cODT) based on a single lens, designed for the efficient generation of Bose-Einstein condensates (BECs) under dynamic conditions. The system employs two…

Quantum Physics · Physics 2026-04-20 Jan Simon Haase , Alexander Fieguth , Igor Bröckel , Janina Hamann , Jens Kruse , Carsten Klempt

Establishing correspondences between two images requires both local and global spatial context. Given putative correspondences of feature points in two views, in this paper, we propose Order-Aware Network, which infers the probabilities of…

Computer Vision and Pattern Recognition · Computer Science 2019-08-15 Jiahui Zhang , Dawei Sun , Zixin Luo , Anbang Yao , Lei Zhou , Tianwei Shen , Yurong Chen , Long Quan , Hongen Liao

Fiber collision is a persistent problem faced by modern spectroscopic galaxy surveys. In this work, we propose a new method to correct for this undesired effect, focusing on the clustering from the fiber-collision scale up to $\lesssim 10…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-19 Lei Yang , Yipeng Jing , Xiaohu Yang , Jiaxin Han

Recent experiments have demonstrated sub decoherence time control of individual single-electron orbital qubits. Here we propose a quantum dot based scheme for generation and detection of pairs of orbitally entangled electrons on a timescale…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 F. Brange , O. Malkoc , P. Samuelsson

We report on Bloch-Zener oscillations of an ultracold Fermi gas in a tunable honeycomb lattice. The quasi-momentum distribution of the atoms is measured after sequentially passing through two Dirac points. We observe a double-peak feature…

This short contribution presents a method for generating $N$-point spherical configurations with low mesh ratios. The method extends Caspar-Klug icosahedral point-grids to non-icosahedral nets through the use of planar barycentric…

Computational Geometry · Computer Science 2021-07-26 Brian Hamilton

Clustering mixtures of Gaussian distributions is a fundamental and challenging problem that is ubiquitous in various high-dimensional data processing tasks. While state-of-the-art work on learning Gaussian mixture models has focused…

Machine Learning · Computer Science 2018-03-05 Dan Kushnir , Shirin Jalali , Iraj Saniee

We consider the problem of minimizing the sum of two convex functions. One of those functions has Lipschitz-continuous gradients, and can be accessed via stochastic oracles, whereas the other is "simple". We provide a Bregman-type algorithm…

Optimization and Control · Mathematics 2024-11-26 Benjamin Dubois-Taine , Francis Bach , Quentin Berthet , Adrien Taylor

We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with periodic potential. The algorithm is based on column selection and random Fourier projection of the orbital functions. The computational…

Numerical Analysis · Mathematics 2015-12-03 Jianfeng Lu , Lexing Ying

We define angles from-to and between infinite dimensional subspaces of a Hilbert space, inspired by the work of E. J. Hannan, 1961/1962 for general canonical correlations of stochastic processes. The spectral theory of selfadjoint operators…

Numerical Analysis · Mathematics 2010-07-02 Andrew Knyazev , Abram Jujunashvili , Merico Argentati

We study the design of amplitude phase-shift keying (APSK) constellations for a coherent fiber-optical communication system where nonlinear phase noise (NLPN) is the main system impairment. APSK constellations can be regarded as a union of…

Information Theory · Computer Science 2015-01-07 Christian Häger , Alexandre Graell i Amat , Alex Alvarado , Erik Agrell

An \emph{$\alpha$-approximate vertex fault-tolerant distance sensitivity oracle} (\emph{$\alpha$-VSDO}) for a weighted input graph $G=(V, E, w)$ and a source vertex $s \in V$ is the data structure answering an $\alpha$-approximate distance…

Data Structures and Algorithms · Computer Science 2024-07-03 Kaito Harada , Naoki Kitamura , Taisuke Izumi , Toshimitsu Masuzawa

Using 3D point clouds in odometry estimation in robotics often requires finding a set of correspondences between points in subsequent scans. While there are established methods for point clouds of sufficient quality, state-of-the-art still…

Robotics · Computer Science 2025-06-24 Jan Michalczyk , Stephan Weiss , Jan Steinbrener

Given an idempotent operator $E$ in a complex Hilbert space ${\mathcal H}$, one can associate to it two orthogonal projections: - The polar decomposition $2E-1=(2P-1)|2E-1|$ provides an orthogonal projection $P$. That the unitary part in…

Functional Analysis · Mathematics 2025-08-21 Esteban Andruchow