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UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a…

Machine Learning · Statistics 2020-09-21 Leland McInnes , John Healy , James Melville

Optical spectroscopy is a fundamental tool in numerous areas of science and technology. Much effort has focused on miniaturizing spectrometers, but thus far at the cost of high spectral resolution and broad operating range. Here, we…

Irregularly sampling a spatially stationary random field does not yield a graph stationary signal in general. Based on this observation, we build a definition of graph stationarity based on intrinsic stationarity, a less restrictive…

Signal Processing · Electrical Eng. & Systems 2018-09-26 Alexander Serrano , Benjamin Girault , Antonio Ortega

The SPEAR (or 'FIMS') instrumentation has been used to conduct the first large-scale spectral mapping of diffuse cosmic far ultraviolet (FUV, 900-1750 AA) emission, including important diagnostics of interstellar hot (10^4 K - 10^6 K) and…

A suite of spectroscopic surveys is producing vast sets of stellar spectra with the goal of advancing stellar physics and Galactic evolution by determining their basic physical properties. A substantial fraction of these stars are in binary…

Solar and Stellar Astrophysics · Physics 2024-06-03 Rhys Seeburger , Hans-Walter Rix , Kareem El-Badry , Maosheng Xiang , Morgan Fouesneau

The Kepler survey has provided a wealth of astrophysical knowledge by continuously monitoring over 150,000 stars. The resulting database contains thousands of examples of known variability types and at least as many that cannot be…

Instrumentation and Methods for Astrophysics · Physics 2015-12-16 S. D. Kügler , N. Gianniotis , K. L. Polsterer

Uniform Manifold Approximation and Projection (UMAP) is one of the state-of-the-art methods for dimensionality reduction and data visualization. This is a tutorial and survey paper on UMAP and its variants. We start with UMAP algorithm…

Human-Computer Interaction · Computer Science 2021-09-07 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

An increasing number of applications in exoplanetary science require spectrographs with high resolution and high throughput without the need for a broad spectral range. Examples include the search for biosignatures through the detection of…

Accurate time series analysis is essential for studying variable astronomical sources, where detecting periodicities and characterizing power spectral density (PSD) are crucial. The Lomb-Scargle periodogram, commonly used in astronomy for…

Instrumentation and Methods for Astrophysics · Physics 2024-11-06 Ezequiel Albentosa-Ruiz , Nicola Marchili

The ability to identify useful features or representations of the input data based on training data that achieves low prediction error on test data across multiple prediction tasks is considered the key to multitask learning success. In…

Machine Learning · Statistics 2025-02-12 Soumya Mukherjee , Bharath K. Sriperumbudur

SuperSpec is a pathfinder for future lithographic spectrometer cameras, which promise to energize extra-galactic astrophysics at (sub)millimeter wavelengths: delivering 200--500 km/s spectral velocity resolution over an octave bandwidth for…

Accurate and robust tracking and reconstruction of the surgical scene is a critical enabling technology toward autonomous robotic surgery. Existing algorithms for 3D perception in surgery mainly rely on geometric information, while we…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Shan Lin , Albert J. Miao , Jingpei Lu , Shunkai Yu , Zih-Yun Chiu , Florian Richter , Michael C. Yip

A uniform shrinkage prior (USP) distribution on the unknown variance component of a random-effects model is known to produce good frequency properties. The USP has a parameter that determines the shape of its density function, but it has…

Methodology · Statistics 2017-12-12 Hyungsuk Tak

We propose a compact scheme based on ultrafast-rotating phase plates (URPPs) to achieve continuous spectral broadening of ultraviolet lasers. The rapid rotation elements behave as a random oscillator which induces Doppler frequency shift…

Ultrasound imaging is a cornerstone of non-invasive clinical diagnostics, yet its limited field of view poses challenges for novel view synthesis. We present UltraGS, a real-time framework that adapts Gaussian Splatting to sensorless…

Computer Vision and Pattern Recognition · Computer Science 2026-04-29 Yuezhe Yang , Qingqing Ruan , Wenjie Cai , Yudang Dong , Dexin Yang , Xingbo Dong , Zhe Jin , Yong Dai

Traditional ultrasound simulators solve the wave equation to model pressure distribution fields, achieving high accuracy but requiring significant computational time and resources. To address this, ray tracing approaches have been…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Felix Duelmer , Mohammad Farid Azampour , Magdalena Wysocki , Nassir Navab

Spectral variability is one of the major issue when conducting hyperspectral unmixing. Within a given image composed of some elementary materials (herein referred to as endmember classes), the spectral signature characterizing these classes…

Image and Video Processing · Electrical Eng. & Systems 2019-06-26 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

Recent studies have shown great promise in unsupervised representation learning (URL) for multivariate time series, because URL has the capability in learning generalizable representation for many downstream tasks without using inaccessible…

Machine Learning · Computer Science 2024-08-20 Zhiyu Liang , Jianfeng Zhang , Chen Liang , Hongzhi Wang , Zheng Liang , Lujia Pan

This paper presents a multilevel algorithm specifically designed for radio-interferometric imaging in astronomy. The proposed algorithm is used to solve the uSARA (unconstrained Sparsity Averaging Reweighting Analysis) formulation of this…

Optimization and Control · Mathematics 2024-03-21 Guillaume Lauga , Audrey Repetti , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves , Yves Wiaux

We present a new representation of light curves, which is quite different from the binning method. Instead of choosing uniform bins, the reciprocal of interval between two successive photons is adopted to represent the counting rate. A…

High Energy Astrophysical Phenomena · Physics 2014-01-14 Jun Tian , Yuan-Chuan Zou
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