https://www.youtube.com/watch?v=ZvAkIf7oBHw偶然回眸, 视频播放量 4391、弹幕量 2、点赞数 71、投硬币枚数 8、收藏人数 68、转发人数 26, 视频作者 Wizard_of_Ahs, 作者简介 复旦大学(西方经济学,直博生)|南开大学(经济学、法学双学位,辅修工商管理学,本科),相关
We discuss applications to class numbers and conjugacy class zeta functions of p-groups and unipotent group schemes, respectively. Introduction Class numbers. Let k(G) denote the class number (= number of conjugacy classes) of a finite group G. As is well-known,k(G)=#Irr(G) is the ...
2024: "Android Binder Attack Matrix" by Utkarsh [article] [part 2] [part 3] [part 4] [part 5]2024: "Driving forward in Android drivers" by Seth Jenkins [article] [video] [CVE-2023-32837] [CVE-2023-32832]2024: "Attacking Android Binder: Analysis and Exploitation of CVE-2023-20938" ...
Let A be a positive definite l×l matrix. Then κ(x,y)=xTAy is a kernel. • If κ1(x,y):X×X⟼R, then κ(x,y)=exp(κ1(x,y)) is also a kernel, and if p(⋅) is a polynomial with nonnegative coefficients, κ(x,y)=p(κ1(x,y)) is also a kernel. The in...
Let\({\mathcal{S}}=({{\mathbf{X}}_1}, \ldots ,{{\mathbf{X}}_N})\)be a finite set of matrices in a matrix Hilbert space\({\mathcal{H}}\). Define\({\mathcal{H}} \circ {\mathcal{S}}=\{ (\langle {\langle {\mathbf{W}},{{\mathbf{X}}_1}\rangle _{\mathcal{H}...
exp() # Symbolic (1e6,2e6,1) Gaussian kernel matrix # We come back to vanilla PyTorch Tensors or NumPy arrays using # reduction operations such as .sum(), .logsumexp() or .argmin() # on one of the two "symbolic" dimensions 0 and 1. # Here, the kernel density estimation a_i...
We put forward a new family of computational assumptions, the Kernel Matrix Diffie-Hellman Assumption. Given some matrix \mathbf {{A}} sampled from some distribution \mathcal {D}, the kernel assumption says that it is hard to find “in the exponent” a nonzero vector in the kernel of \...
Use this library of math routines for compute-intensive tasks: linear algebra, FFT, RNG. Optimized for high-performance computing and data science.
Wolff, done in the spring of 1979.;In this paper, we extend the vector valued corona theorem on a reproducing kernel Hilbert space to the matrix case. We proved that if the vector valued corona theorem on a reproducing kernel Hilbert space holds, then so does the corresponding matrix ...
Since the operating system kernel is the logical central unit of the operating system, it might be reasoned that kernel-mode rootkits represent a high degree of sophistication. While this might have been true at one point, there are many factors now that work against this hypothesis. “Cookbooks...