12 citations
- F. Bach2 profiles21 · h 108
- Alessandro Rudi3 profiles9 · h 27
- Francis R. Bach4 profiles6 · h 7
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- Département d'InformatiqueFR10 papers
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- Institut national de recherche en sciences et technologies du numériqueFR4 papers
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- International University of Fundamental StudiesRU2 papers
- Amazon (United States)US1 paper
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cs.IT2024
Variational Inference on the Boolean Hypercube with the Quantum Entropy
Eliot Beyler, Francis Bach
In this paper, we derive variational inference upper-bounds on the log-partition function of pairwise Markov random fields on the Boolean hypercube, based on quantum relaxations of…
cs.IT2022
Information Theory with Kernel Methods
Francis Bach
We consider the analysis of probability distributions through their associated covariance operators from reproducing kernel Hilbert spaces. We show that the von Neumann entropy and…
cs.IT2010
Prime Factor Cyclotomic Fourier Transforms with Reduced Complexity over Finite Fields
Xuebin Wu, Zhiyuan Yan, Ning Chen +1
Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in error correction coding. Hence, reducing the computational complexities of DFTs is of great si…