4 papers
Algorithmic algorithm development with LLMs: A Case Study on LLM-Usage for Contraction Order Optimization in Tensor Networks
Fabian Hoppe, Melven Röhrig-Zöllner, Melven Röhrig-Zöllner +1
We consider LLM-based algorithm development through a case study on contractionorder optimisation for tensor networks with OpenEvolve. We pay particular attention to the choice of…
Implementation of QR factorization of tall and very skinny matrices on current GPUs
Jonas Thies, Melven Röhrig-Zöllner
We consider the problem of computing a QR (or QZ) decomposition of a real, dense, tall and very skinny matrix. That is, the number of columns is tiny compared to the number of rows…
Performance of linear solvers in tensor-train format on current multicore architectures
Melven Röhrig-Zöllner, Manuel Joey Becklas, Jonas Thies +1
Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from q…
Quantum Software Ecosystem Design
Achim Basermann, Michael Epping, Benedikt Fauseweh +7
The rapid advancements in quantum computing necessitate a scientific and rigorous approach to the construction of a corresponding software ecosystem, a topic underexplored and prim…