From the 1 of 5 linked papers with an AI index.
5 papers
Classical Tensor Network and Quantum Fourier Transform Approaches for Large-Scale Carr-Madan Option Pricing
Sascha Hauck, Ivica Turkalj
The paper reformulates the Carr‑Madan Fourier option‑pricing method using tensor‑network techniques, specifically a Superfast Fourier Transform (a compressed Tensor‑Train version o…
Performance Benchmarking of Tensor Trains for accelerated Quantum-Inspired Homogenization on TPU, GPU and CPU architectures
Sascha H. Hauck, Matthias Kabel, Nicolas R. Gauger
Recent advances in high-resolution CT-imaging technology are creating a new class of ultra-high resolved microstructural datasets that challenge the limits of traditional homogeniz…
Epigenetic feedback reshapes dynamical landscapes in gene regulatory networks
Sascha H. Hauck, Sandip Saha, Narsis A. Kiani +1
Understanding how gene regulatory networks (GRNs) give rise to stable and dynamic cellular states remains a central challenge in theoretical biology, particularly when slow epigene…
Enhanced shortcuts to adiabaticity for coherent atom transport in a family of two-dimensional dynamical optical lattices
Sascha H. Hauck, Vladimir M. Stojanovic
In view of the compelling need for coherent atom transport as a prerequisite for a variety of emerging quantum technologies, we investigate such transport on the example of an adju…
SFFT-Based Homogenization: Using Tensor Trains to Enhance FFT-Based Homogenization
Sascha H. Hauck, Matthias Kabel, Mazen Ali +1
Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity. Among Homogenization methods, the FFT-based Homogeni…