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- LiveJournal.com


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, 16 2021 . 05:38 +
https://arxiv.org/pdf/2106.05807.pdf

Anna Lopatnikova and Minh-Ngoc Tran, Quantum Natural Gradient for Variational Bayes, Discipline of Business Analytics, The University of Sydney Business School, The University of Sydney, NSW 2006, Australia (Dated: June 11, 2021).

Variational Bayes (VB) is a critical method in machine learning and statistics, underpinning the recent success of Bayesian deep learning. The natural gradient is an essential component of efficient VB estimation, but it is prohibitively computationally expensive in high dimensions. We propose a hybrid quantum-classical algorithm to improve the scaling properties of natural gradient computation and make VB a truly computationally efficient method for Bayesian inference in highdimensional settings. The algorithm leverages matrix inversion from the linear systems algorithm by Harrow, Hassidim, and Lloyd [Phys. Rev. Lett. 103, 15 (2009)] (HHL). We demonstrate that the matrix to be inverted is sparse and the classical-quantum-classical handoffs are sufficiently economical to preserve computational efficiency, making the problem of natural gradient for VB an ideal application of HHL. We prove that, under standard conditions, the VB algorithm with quantum natural gradient is guaranteed to converge.

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, 16 2021 . 03:19 +
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, 16 2021 . 02:23 +
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, 15 2021 . 20:54 +
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, 15 2021 . 14:35 +

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, 14 2021 . 13:48 +

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, 13 2021 . 22:38 +
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In Florida, 10,900,940 people or 50.75% of the population have received at least one dose.
Overall, 8,814,496 people or 41.04% of Florida's population have been fully vaccinated.

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, 13 2021 . 16:51 +
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, 04 2021 . 21:45 +
NATO Secretary-General Jens Stoltenberg recently called for solar panels to be used to help power "heavy battle tanks or fighter jets and naval ships," at an online seminar titled New Ideas for NATO 2030 whose transcript is published on the NATO website.

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, 04 2021 . 18:04 +
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, 03 2021 . 03:41 +


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