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pro vyhledávání: '"RADONS, MANUEL"'
In recent years, variational quantum algorithms have garnered significant attention as a candidate approach for near-term quantum advantage using noisy intermediate-scale quantum (NISQ) devices. In this article we introduce kernel descent, a novel al
Externí odkaz:
http://arxiv.org/abs/2409.10257
In this article we introduce an algorithm for mitigating the adverse effects of noise on gradient descent in variational quantum algorithms. This is accomplished by computing a {\emph{regularized}} local classical approximation to the objective funct
Externí odkaz:
http://arxiv.org/abs/2403.03826
This article focuses on developing classical surrogates for parametrized quantum circuits using interpolation via (trigonometric) polynomials. We develop two algorithms for the construction of such surrogates and prove performance guarantees. The con
Externí odkaz:
http://arxiv.org/abs/2310.04396
Autor:
Simon, Lars, Radons, Manuel
In \cite{simon2023algorithms} we introduced four algorithms for the training of neural support vector machines (NSVMs) and demonstrated their feasibility. In this note we introduce neural quantum support vector machines, that is, NSVMs with a quantum
Externí odkaz:
http://arxiv.org/abs/2308.08467
Autor:
Simon, Lars, Radons, Manuel
Neural support vector machines (NSVMs) allow for the incorporation of domain knowledge in the design of the model architecture. In this article we introduce a set of training algorithms for NSVMs that leverage the Pegasos algorithm and provide a proo
Externí odkaz:
http://arxiv.org/abs/2308.07204
Autor:
Radons, Manuel
A $3$-Prismatoid is the convex hull of two convex polygons $A$ and $B$ which lie in parallel planes $H_A, H_B\subset\mathbb{R}^3$. Let $A'$ be the orthogonal projection of $A$ onto $H_B$. A prismatoid is called nested if $A'$ is properly contained in
Externí odkaz:
http://arxiv.org/abs/2105.00555
Autor:
Radons, Manuel, Rump, Siegfried M.
Let $A$ be a real $n\times n$ matrix and $z,b\in \mathbb R^n$. The piecewise linear equation system $z-A\vert z\vert = b$ is called an \textit{absolute value equation}. We consider two solvers for this problem, one direct, one semi-iterative, and ext
Externí odkaz:
http://arxiv.org/abs/2012.02520
Autor:
Radons, Manuel
Publikováno v:
In Computational Geometry: Theory and Applications January 2024 116
Autor:
Radons, Manuel, Tonelli-Cueto, Josué
Publikováno v:
SIAM Journal on Matrix Analysis and Applications, 44(4):1645-1666, 2023
Let $A$ be a $n\times n$ real matrix. The piecewise linear equation system $z-A\vert z\vert =b$ is called an absolute value equation (AVE). It is well-known to be equivalent to the linear complementarity problem. Unique solvability of the AVE is know
Externí odkaz:
http://arxiv.org/abs/1912.08157
Recent research has shown that piecewise smooth (PS) functions can be approximated by piecewise linear functions with second order error in the distance to a given reference point. A semismooth Newton type algorithm based on successive application of
Externí odkaz:
http://arxiv.org/abs/1808.00213