41 citations · 73 across the 14 of their papers we have counts for
19 papers
Synthetic Data Generation and Differential Privacy using Tensor Networks' Matrix Product States (MPS)
Alejandro Moreno R., Desale Fentaw, Samuel Palmer +7
Synthetic data generation is a key technique in modern artificial intelligence, addressing data scarcity, privacy constraints, and the need for diverse datasets in training robust…
Quantum reinforcement learning in dynamic environments
Oliver Sefrin, Manuel Radons, Lars Simon +1
Combining quantum computing techniques in the form of amplitude amplification with classical reinforcement learning has led to the so-called "hybrid agent for quantum-accessible re…
Introducing the Kernel Descent Optimizer for Variational Quantum Algorithms
Lars Simon, Holger Eble, Manuel Radons
In recent years, variational quantum algorithms have garnered significant attention as a candidate approach for near-term quantum advantage using noisy intermediate-scale quantum (…
Denoising Gradient Descent in Variational Quantum Algorithms
Lars Simon, Holger Eble, Hagen-Henrik Kowalski +1
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 {\e…
Interpolating Parametrized Quantum Circuits using Blackbox Queries
Lars Simon, Holger Eble, Hagen-Henrik Kowalski +1
This article focuses on developing classical surrogates for parametrized quantum circuits using interpolation via (trigonometric) polynomials. We develop two algorithms for the con…
Algorithms for the Training of Neural Support Vector Machines
Lars Simon, Manuel Radons
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 algor…
On Neural Quantum Support Vector Machines
Lars Simon, Manuel Radons
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…
Edge-unfolding nested prismatoids
Manuel Radons
A -Prismatoid is the convex hull of two convex polygons and which lie in parallel planes . Let be the orthogonal projection of onto…
Convergence results for some piecewise linear solvers
Manuel Radons, Siegfried M. Rump
Let be a real matrix and . The piecewise linear equation system is called an \textit{absolute value equation}. We consider…
Generalized Perron Roots and Solvability of the Absolute Value Equation
Manuel Radons, Josué Tonelli-Cueto
Let be a real matrix. The piecewise linear equation system is called an absolute value equation (AVE). It is well-known to be equivalent to the…
An Open Newton Method for Piecewise Smooth Functions
Manuel Radons, Lutz Lehmann, Tom Streubel +1
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.…
Semi-automatically optimized calibration of internal combustion engines
Timo Burggraf, Michael Joswig, Marc E. Pfetsch +2
Modern combustion engines incorporate a number of actuators and sensors that can be used to control and optimize the performance and emissions. We describe a semi-automatic method…
Sign controlled solvers for the absolute value equation with an application to support vector machines
Lutz Lehmann, Manuel Radons, Siegfried M. Rump +1
Let be a real matrix and . The piecewise linear equation system is called an absolute value equation. It is equivalent to…
A note on surjectivity of piecewise affine mappings
Manuel Radons
A standard theorem in nonsmooth analysis states that a piecewise affine function is surjective if it is coherently oriented in that the linear…
Solving piecewise linear equations in abs-normal form
Andreas Griewank, Jens Uwe Bernt, Manuel Radons +1
With the ultimate goal of iteratively solving piecewise smooth (PS) systems, we consider the solution of piecewise linear (PL) equations. PL models can be derived in the fashion of…
Integrating Lipschitzian Dynamical Systems using Piecewise Algorithmic Differentiation
Andreas Griewank, Richard Hasenfelder, Manuel Radons +1
In this article we analyze a generalized trapezoidal rule for initial value problems with piecewise smooth right hand side \(F:\R^n\to\R^n\). When applied to such a problem the cla…
Piecewise linear secant approximation via Algorithmic Piecewise Differentiation
Andreas Griewank, Tom Streubel, Lutz Lehmann +2
It is shown how piecewise differentiable functions that are defined by evaluation programs can be approximated locally by a piecewise linear m…
Direct solution of piecewise linear systems
Manuel Radons
Let be a real matrix, , and the componentwise modulus of . Then the piecewise linear equation system is call…
working precision inverses for symmetric tridiagonal Toeplitz matrices with floating point calculations
Manuel Radons
A well known numerical task is the inversion of large symmetric tridiagonal Toeplitz matrices, i.e., matrices whose entries equal on the diagonal and on the extra diagonals…