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We review the concepts of the Voronoi binning technique (Cappellari & Copin 2003), which optimally solves the problem of preserving the maximum spatial resolution of general two-dimensional data, given a constraint on the minimum…

Instrumentation and Methods for Astrophysics · Physics 2009-12-08 Michele Cappellari

We present a technique to adaptively bin sparse X-ray data using weighted Voronoi tesselations (WVTs). WVT binning is a generalisation of Cappellari & Copin's (2001) Voronoi binning algorithm, developed for integral field spectroscopy. WVT…

Astrophysics · Physics 2009-11-11 Steven Diehl , Thomas S. Statler

We present new techniques to perform adaptive spatial binning of two-dimensional (2D) data to reach a chosen constant signal-to-noise ratio per bin. These methods are required particularly for the proper analysis of Integral Field…

Astrophysics · Physics 2007-05-23 Michele Cappellari , Yannick Copin

We present new techniques to perform adaptive spatial binning of Integral-Field Spectroscopic (IFS) data to reach a chosen constant signal-to-noise ratio per bin. These methods are required for the proper analysis of IFS observations, but…

Astrophysics · Physics 2009-07-09 Michele Cappellari , Yannick Copin

We present a simple method for adaptively binning the pixels in an image. The algorithm groups pixels into bins of size such that the fractional error on the photon count in a bin is less than or equal to a threshold value, and the size of…

Astrophysics · Physics 2009-09-17 J. S. Sanders , A. C. Fabian

This paper studies the Binary Neural Networks (BNNs) in which weights and activations are both binarized into 1-bit values, thus greatly reducing the memory usage and computational complexity. Since the modern deep neural networks are of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Zhijun Tu , Xinghao Chen , Pengju Ren , Yunhe Wang

Conformal prediction constructs a set of labels instead of a single point prediction, while providing a probabilistic coverage guarantee. Beyond the coverage guarantee, adaptiveness to example difficulty is an important property. It means…

Machine Learning · Computer Science 2025-11-18 Sooyong Jang , Insup Lee

The angular power spectrum is a gauge-independent observable that is in principle the natural tool for analysing galaxy number counts. In practice, the problem is that the computational requirements for next-generation spectroscopic surveys…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-12 Stefano Camera , José Fonseca , Roy Maartens , Mário G. Santos

In this paper, we present a novel methodology for automatic adaptive weighting of Bayesian Physics-Informed Neural Networks (BPINNs), and we demonstrate that this makes it possible to robustly address multi-objective and multi-scale…

Computational Physics · Physics 2023-08-09 Sarah Perez , Suryanarayana Maddu , Ivo F. Sbalzarini , Philippe Poncet

The success of neural networks in image classification has inspired various hardware implementations on embedded platforms such as Field Programmable Gate Arrays, embedded processors and Graphical Processing Units. These embedded platforms…

Machine Learning · Computer Science 2020-02-25 Sivakumar Chidambaram , J. M. Pierre Langlois , Jean Pierre David

We use a sample of 350 star-forming galaxies at $1.25<z<2.66$ from the MOSFIRE Deep Evolution Field survey to demonstrate an improved Voronoi binning technique that we use to study the properties of resolved stellar populations in $z\sim2$…

In radio astronomy, the challenge of reconstructing a sky map from time ordered data (TOD) is known as an inverse problem. Standard map-making techniques and gridding algorithms are commonly employed to address this problem, each offering…

Instrumentation and Methods for Astrophysics · Physics 2023-06-28 Haolin Zhang , Shifan Zuo , Le Zhang

Objects grasping, also known as the bin-picking, is one of the most common tasks faced by industrial robots. While much work has been done in related topics, grasping randomly piled objects still remains a challenge because much of the…

Robotics · Computer Science 2020-12-07 Jiaxin Guo , Lian Fu , Mingkai Jia , Kaijun Wang , Shan Liu

We address the problem of estimating a high quality dense depth map from a single RGB input image. We start out with a baseline encoder-decoder convolutional neural network architecture and pose the question of how the global processing of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Shariq Farooq Bhat , Ibraheem Alhashim , Peter Wonka

Overfitting is a problem in Convolutional Neural Networks (CNN) that causes poor generalization of models on unseen data. To remediate this problem, many new and diverse data augmentation methods (DA) have been proposed to supplement or…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Steffen Illium , Gretchen Griffin , Michael Kölle , Maximilian Zorn , Jonas Nüßlein , Claudia Linnhoff-Popien

Pixel binning is a technique, widely used in optical image acquisition and spectroscopy, in which adjacent detector elements of an image sensor are combined into larger pixels. This reduces the amount of data to be processed as well as the…

(short version abstract, full in article)High-fidelity flow field reconstruction is important in fluid dynamics, but it is challenged by sparse and spatiotemporally incomplete sensor measurements, as well as failures of pre-deployed…

Fluid Dynamics · Physics 2026-03-11 Renjie Xiao , Bingteng Sun , Yiling Chen , Lin Lu , Qiang Du , Junqiang Zhu

We introduce the concept of compressed convolution, a technique to convolve a given data set with a large number of non-orthogonal kernels. In typical applications our technique drastically reduces the effective number of computations. The…

Instrumentation and Methods for Astrophysics · Physics 2014-01-08 F. Elsner , B. D. Wandelt

Why rely on dense neural networks and then blindly sparsify them when prior knowledge about the problem structure is already available? Many inverse problems admit algorithm-unrolled networks that naturally encode physics and sparsity. In…

Machine Learning · Computer Science 2025-10-14 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

By measuring, modeling and interpreting cosmological datasets, one can place strong constraints on models of the Universe. Central to this effort are summary statistics such as power spectra and bispectra, which condense the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-15 Oliver H. E. Philcox , Thomas Flöss
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