Publications related to Information geometry

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

Frédéric Courbin, Gianluca Castignani, Jean-Luc Starck, Austin Chandler Peel, Maurizio Martinelli, Yi Wang, Richard Massey, Fabio Finelli, Marcello Farina

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

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Michael Christoph Gastpar, Alper Köse, Ahmet Arda Atalik

The conditional mean is a fundamental and important quantity whose applications include the theories of estimation and rate-distortion. It is also notoriously difficult to work with. This paper establishes novel bounds on the differential entropy of the co ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Simultaneous Perturbation Stochastic Approximation of the Quantum Fisher Information

Giuseppe Carleo, Julien Sebastian Gacon, Stefan Woerner

The Quantum Fisher Information matrix (QFIM) is a central metric in promising algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary Time Evolution. Computing the full QFIM for a model with d parameters, however, is computat ...

VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF2021

Towards quantum 3D imaging devices

Edoardo Charbon, Claudio Bruschini, Paul Mos, Samuel Burri, Arin Can Ülkü, Michael Alan Wayne

We introduce a new generation of 3D imaging devices based on quantum plenoptic imaging. Position-momentum entanglement and photon number correlations are exploited to provide a scan-free 3D image after post-processing of the collected light intensity signa ...

2021

Differential Entropy of the Conditional Expectation under Gaussian Noise

Michael Christoph Gastpar, Alper Köse, Ahmet Arda Atalik

This paper considers an additive Gaussian noise channel with arbitrarily distributed finite variance input signals. It studies the differential entropy of the minimum mean-square error (MMSE) estimator and provides a new lower bound which connects the diff ...

IEEE2021

Towards Quantum 3D Imaging Devices

Edoardo Charbon, Claudio Bruschini, Paul Mos, Samuel Burri, Arin Can Ülkü, Michael Alan Wayne

We review the advancement of the research toward the design and implementation of quantum plenoptic cameras, radically novel 3D imaging devices that exploit both momentum–position entanglement and photon–number correlations to provide the typical refocusin ...

2021

Calculating Optimistic Likelihoods Using (Geodesically) Convex Optimization

Daniel Kuhn, Viet Anh Nguyen, Soroosh Shafieezadeh Abadeh, Wolfram Wiesemann

A fundamental problem arising in many areas of machine learning is the evaluation of the likelihood of a given observation under different nominal distributions. Frequently, these nominal distributions are themselves estimated from data, which makes them s ...

2019

Universal Sparse Superposition Codes With Spatial Coupling and GAMP Decoding

Nicolas Macris, Jean François Emmanuel Barbier, Mohamad Baker Dia

Sparse superposition codes, or sparse regression codes, constitute a new class of codes, which was first introduced for communication over the additive white Gaussian noise (AWGN) channel. It has been shown that such codes are capacity-achieving over the A ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

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Information geometry

On the use of Cramér-Rao Lower Bound for least-variance circuit parameters identification of Li-ion cells

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

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Simultaneous Perturbation Stochastic Approximation of the Quantum Fisher Information

Towards quantum 3D imaging devices

Differential Entropy of the Conditional Expectation under Gaussian Noise

Towards Quantum 3D Imaging Devices

Beyond Point Clouds: Fisher Information Field for Active Visual Localization

Calculating Optimistic Likelihoods Using (Geodesically) Convex Optimization

Universal Sparse Superposition Codes With Spatial Coupling and GAMP Decoding

Graph Chatbot

Chat with Graph Search

On the use of Cramér-Rao Lower Bound for least-variance circuit parameters identification of Li-ion cells

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

Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise

Towards quantum 3D imaging devices

Simultaneous Perturbation Stochastic Approximation of the Quantum Fisher Information

Beyond Point Clouds: Fisher Information Field for Active Visual Localization

Universal Sparse Superposition Codes With Spatial Coupling and GAMP Decoding

Towards Quantum 3D Imaging Devices

Calculating Optimistic Likelihoods Using (Geodesically) Convex Optimization

Differential Entropy of the Conditional Expectation under Gaussian Noise