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This https://arxiv.org/abs/2404.17644 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

A Conditional Independence Test in the Presence of Discretization
Testing conditional independence has many applications, such as in Bayesian network learning and causal discovery. Different test methods have been proposed. However, existing methods generally can not work when only discretized observations are available. Specifically, consider $X_1$, $\tilde{X}_2$ and $X_3$ are observed variables, where $\tilde{X}_2$ is a discretization of latent variables $X_2$. Applying existing test methods to the observations of $X_1$, $\tilde{X}_2$ and $X_3$ can lead to …

This https://arxiv.org/abs/2212.03119 has been replaced.
link: https://scholar.google.com/scholar?q=a

Analogues of hyperlogarithm functions on affine complex curves
For $C$ a smooth affine complex curve, there is a unique minimal subalgebra $A_C$ of the algebra $\mathcal O_{hol}(\tilde C)$ of holomorphic functions on its universal cover $\tilde C$, which is stable under all the operations $f\mapsto \int fω$, for $ω$ in the space $Ω(C)$ of regular differentials on $C$. We identify $A_C$ with the image of the iterated integration map $I_{x_0} : \mathrm{Sh}(Ω(C))\to\mathcal O_{hol}(\tilde C)$ based at any point $x_0$ of $\tilde C$ (here $\mathrm{Sh}(-)$ d…

This https://arxiv.org/abs/2405.00423 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

$α$-leakage by Rényi Divergence and Sibson Mutual Information
For $\tilde{f}(t) = \exp(\frac{α-1}αt)$, this paper proposes a $\tilde{f}$-mean information gain measure. Rényi divergence is shown to be the maximum $\tilde{f}$-mean information gain incurred at each elementary event $y$ of channel output $Y$ and Sibson mutual information is the $\tilde{f}$-mean of this $Y$-elementary information gain. Both are proposed as $α$-leakage measures, indicating the most information an adversary can obtain on sensitive data. It is shown that the existing $α$-lea…

New #MechanicalKeyboard day! It's a #Kiser Monorail 45% #keyboard which I recently bought from @…

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This https://arxiv.org/abs/2307.14690 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Kodaira type conjecture on almost complex 4 manifolds
Not long ago, Cirici and Wilson defined a Dolbeault cohomology on almost complex manifolds to answer Hirzebruch's problem. In this paper, we define a refined Dolbeault cohomology on almost complex manifolds. We show that the condition $\tilde h^{1,0}=\tilde h^{0,1}$ implies a symplectic structure on a compact almost complex $4$ manifold, where $\tilde h^{1,0}$ and $\tilde h^{0,1}$ are the dimensions of the refined Dolbeault cohomology groups with bi-degrees $(1,0)$ and $(0,1)$ respectively. Com…

$\alpha$-leakage by R\'{e}nyi Divergence and Sibson Mutual Information
Ni Ding
https://arxiv.org/abs/2405.00423 https://arxiv.org…

$α$-leakage by Rényi Divergence and Sibson Mutual Information
For $\tilde{f}(t) = \exp(\frac{α-1}αt)$, this paper proposes a $\tilde{f}$-mean information gain measure. Rényi divergence is shown to be the maximum $\tilde{f}$-mean information gain incurred at each elementary event $y$ of channel output $Y$ and Sibson mutual information is the $\tilde{f}$-mean of this $Y$-elementary information gain. Both are proposed as $α$-leakage measures, indicating the most information an adversary can obtain on sensitive data. It is shown that the existing $α$-lea…

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#Philosophy #Wittgenstein #linguistics

#Philosophy #Wittgenstein #linguistics