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Spatial precision is often measured using the standard deviation (SD) of the eye position signal or the RMS of the sample-to-sample differences (StoS) signal during fixation. As both measures emerge from statistical theory applied to…

Neurons and Cognition · Quantitative Biology 2023-03-13 Lee Friedman , Timothy Hanson , Hal S. Stern , Oleg V. Komogortsev

The problem of non-iterative one-shot and non-destructive correction of unavoidable mistakes arises in all Artificial Intelligence applications in the real world. Its solution requires robust separation of samples with errors from samples…

Machine Learning · Computer Science 2017-09-05 A. N. Gorban , I. Y. Tyukin

The present generation of weak lensing surveys will be superseded by surveys run from space with much better sky coverage and high level of signal to noise ratio, such as SNAP. However, removal of any systematics or noise will remain a…

Astrophysics · Physics 2009-11-10 Dipak Munshi , Patrick Valageas

The problem of publishing privacy-guaranteed data for hypothesis testing is studied using the maximal leakage (ML) as a metric for privacy and the type-II error exponent as the utility metric. The optimal mechanism (random mapping) that…

Information Theory · Computer Science 2017-04-12 Jiachun Liao , Lalitha Sankar , Flavio P. Calmon , Vincent Y. F. Tan

In the feature classification domain, the choice of data affects widely the results. For the Hyperspectral image, the bands dont all contain the information; some bands are irrelevant like those affected by various atmospheric effects, see…

Computer Vision and Pattern Recognition · Computer Science 2012-11-02 Elkebir Sarhrouni , Ahmed Hammouch , Driss Aboutajdine

Approximate distance estimation can be used to determine fundamental landscape properties including complexity and openness. We show that variations in the skyline of landscape photos can be used to estimate distances to trees on the…

Computer Vision and Pattern Recognition · Computer Science 2022-01-24 Laura Martinez-Sanchez , Daniele Borio , Raphaël d'Andrimont , Marijn van der Velde

A most desirable feature of a standard candle to estimate astronomical distances is robustness against changes in metallicity and age. It is argued that the radii of main sequence stars with spectral types from solar to A0 show predictable…

Astrophysics · Physics 2009-10-31 Carlos Allende Prieto

In this letter, we aim to address a synthetic aperture radar (SAR) despeckling problem with the necessity of neither clean (speckle-free) SAR images nor independent speckled image pairs from the same scene, and a practical solution for SAR…

Image and Video Processing · Electrical Eng. & Systems 2021-01-19 Ye Yuan , Jian Guan , Pengming Feng , Yanxia Wu

We derive the essentials of the skewed weak lensing likelihood via a simple Hierarchical Model. Our likelihood passes four objective and cosmology-independent tests which a standard Gaussian likelihood fails. We demonstrate that sound weak…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-02 Elena Sellentin , Catherine Heymans , Joachim Harnois-Déraps

This work is concerned with optical imaging in strongly diffusive environments. We consider a typical setting in optical coherence tomography where a sample is probed by a collection of wavefields produced by a laser and propagating through…

Optics · Physics 2024-12-10 Randy Bartels , Olivier Pinaud , Maxine Varughese

Measures of discrepancy between probability distributions (statistical distance) are widely used in the fields of artificial intelligence and machine learning. We describe how certain measures of statistical distance can be implemented as…

Accelerator Physics · Physics 2022-12-21 Chad E. Mitchell , Robert D. Ryne , Kilean Hwang

We investigate the accuracy of weak lensing simulations by comparing the results of five independently developed lensing simulation codes run on the same input $N$-body simulation. Our comparison focuses on the lensing convergence maps…

Spherical and hyperspherical data are commonly encountered in diverse applied research domains, underscoring the vital task of assessing independence within such data structures. In this context, we investigate the properties of test…

Methodology · Statistics 2024-01-23 Marija Cuparić , Bruno Ebner , Bojana Milošević

The cosmological luminosity-distance can be measured from gravitational wave (GW) standard sirens, free of astronomical distance ladders and the associated systematics. However, it may still contain systematics arising from various…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-25 Pengjie Zhang , Hai Yu

We propose an information-theoretic bias measurement technique through a causal interpretation of spurious correlation, which is effective to identify the feature-level algorithmic bias by taking advantage of conditional mutual information.…

Machine Learning · Computer Science 2022-01-11 Seonguk Seo , Joon-Young Lee , Bohyung Han

We consider the weak detection problem in a rank-one spiked Wigner data matrix where the signal-to-noise ratio is small so that reliable detection is impossible. We propose a hypothesis test on the presence of the signal by utilizing the…

Statistics Theory · Mathematics 2022-06-28 Hye Won Chung , Ji Oon Lee

Hyperspectral (HS) images contain detailed spectral information that has proven crucial in applications like remote sensing, surveillance, and astronomy. However, because of hardware limitations of HS cameras, the captured images have low…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Marija Vella , Bowen Zhang , Wei Chen , João F. C. Mota

Learning to hash is an efficient paradigm for exact and approximate nearest neighbor search from massive databases. Binary hash codes are typically extracted from an image by rounding output features from a CNN, which is trained on a…

Machine Learning · Computer Science 2020-05-12 Heikki Arponen , Tom E. Bishop

We present evidence for a coherent shear signal in a field containing the z=1.2 radio-source PKS1508-05. Since there were no intervening mass concentrations known before targeting this field, we interpret this signal as due to weak lensing…

Astrophysics · Physics 2007-05-23 P. Schneider , L. van Waerbeke , Y. Mellier , B. Jain , S. Seitz , B. Fort

The Planet Hunting and Asteroseismology Explorer Spectrophotometer, PHASES, is a concept for a space-borne instrument to obtain flux calibrated spectra and measure micro-magnitude photometric variations of nearby stars. The science drivers…

Instrumentation and Methods for Astrophysics · Physics 2010-01-13 Carlos del Burgo , Carlos Allende Prieto , Tully Peacocke
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