Publications related to On the drainage density of tidal networks

Interpretable statistical representations of neural population dynamics and geometry

Pierre Vandergheynst, Adám Gosztolai, Alexis Arnaudon

The dynamics of neuron populations during diverse tasks often evolve on low-dimensional manifolds. However, it remains challenging to discern the contributions of geometry and dynamics for encoding relevant behavioural variables. Here, we introduce an unsu ...

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A KL Divergence-Based Loss for In Vivo Ultrafast Ultrasound Image Enhancement with Deep Learning

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Ultrafast ultrasound imaging, characterized by high frame rates, generates low-quality images. Convolutional neural networks (CNNs) have demonstrated great potential to enhance image quality without compromising the frame rate. However, CNNs have been most ...

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Distributional Regression and Autoregression via Optimal Transport

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We present a framework for performing regression when both covariate and response are probability distributions on a compact and convex subset of

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EPFL2023

Polynomial-time universality and limitations of deep learning

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The goal of this paper is to characterize function distributions that general neural networks trained by descent algorithms (GD/SGD), can or cannot learn in polytime. The results are: (1) The paradigm of general neural networks trained by SGD is poly-time ...

WILEY2023

An Unbiased Method of Measuring the Ratio of Two Data Sets

Jean-Paul Richard Kneib, Huanyuan Shan

In certain cases of astronomical data analysis, the meaningful physical quantity to extract is the ratio R between two data sets. Examples include the lensing ratio, the interloper rate in spectroscopic redshift samples, and the decay rate of gravitational ...

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Regressive Tomography and Direct Regressive Reconstruction: A Research Note

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Two related methods for inverting line-integrated measurements are presented in this research paper in the context of the recent deuterium-tritium experiments in the JET tokamak. Unlike traditional methods of tomography, these methods rely on making use of ...

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Density Estimation In Rkhs With Application To Korobov Spaces In High Dimensions

Fabio Nobile, Yoshihito Kazashi

A kernel method for estimating a probability density function from an independent and identically distributed sample drawn from such density is presented. Our estimator is a linear combination of kernel functions, the coefficients of which are determined b ...

SIAM PUBLICATIONS2023

Effects of Unsaturated Flow on Salt Distributions in Tidally Influenced Coastal Unconfined Aquifers

David Andrew Barry, Zhaoyang Luo

Unsaturated flow influences both the seawater extent under steady-state conditions and the propagation of tides in coastal aquifers. However, its effects on salt distributions in tidally influenced coastal aquifers are little investigated. The present stud ...

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Spatio-Temporal Dynamics of Snow on Central Arctic Sea Ice and its Implications

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This thesis presents a comprehensive investigation of the interaction between precipitation and wind-induced erosion and deposition of snow on Arctic sea ice. The study uses observations from the 2019-2020 MOSAiC expedition and makes use of the 3D snow cov ...

EPFL2023

Euclid preparation: XXVIII. Forecasts for ten different higher-order weak lensing statistics

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Recent cosmic shear studies have shown that higher-order statistics (HOS) developed by independent teams now outperform standard two-point estimators in terms of statistical precision thanks to their sensitivity to the non-Gaussian features of large-scale ...

EDP SCIENCES S A2023

On the drainage density of tidal networks

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Interpretable statistical representations of neural population dynamics and geometry

A KL Divergence-Based Loss for In Vivo Ultrafast Ultrasound Image Enhancement with Deep Learning

Distributional Regression and Autoregression via Optimal Transport

Polynomial-time universality and limitations of deep learning

An Unbiased Method of Measuring the Ratio of Two Data Sets

Regressive Tomography and Direct Regressive Reconstruction: A Research Note

Density Estimation In Rkhs With Application To Korobov Spaces In High Dimensions

Effects of Unsaturated Flow on Salt Distributions in Tidally Influenced Coastal Unconfined Aquifers

Spatio-Temporal Dynamics of Snow on Central Arctic Sea Ice and its Implications

Euclid preparation: XXVIII. Forecasts for ten different higher-order weak lensing statistics

Interpretable statistical representations of neural population dynamics and geometry

A KL Divergence-Based Loss for In Vivo Ultrafast Ultrasound Image Enhancement with Deep Learning

Distributional Regression and Autoregression via Optimal Transport

Regressive Tomography and Direct Regressive Reconstruction: A Research Note

Density Estimation In Rkhs With Application To Korobov Spaces In High Dimensions

Polynomial-time universality and limitations of deep learning

Effects of Unsaturated Flow on Salt Distributions in Tidally Influenced Coastal Unconfined Aquifers

Euclid preparation: XXVIII. Forecasts for ten different higher-order weak lensing statistics

Spatio-Temporal Dynamics of Snow on Central Arctic Sea Ice and its Implications

An Unbiased Method of Measuring the Ratio of Two Data Sets