6 papers
Hodge Spectral Surrogates for Topology-Constrained Optimization
Satoshi Kanno, Yoshi-aki Shimada
Topological information is widely used in data analysis, network design, and machine learning, and topological constraints naturally arise when optimizing or generating objects wit…
Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
Satoshi Kanno, Rei Nishimura, Hiroshi Yamauchi +1
We propose a practical computational framework for detecting structural changes in parameter-dependent topological data. In many applications, such as time-series data analysis, an…
Quantum-accelerated conjugate gradient method via spectral initialization
Shigetora Miyashita, Yoshi-aki Shimada
Solving large-scale linear systems problems is a cornerstone in scientific and industrial computing. Classical iterative solvers face increasing difficulty as the number of unknown…
Genesis of a Horizontal Electric Field within the Lipid Bilayer: A Bilayer-Embedded Actuation Platform
Maki Komiya, Madoka Sato, Teng Ma +19
The electric field of biological membranes has long been treated as a one-dimensional quantity, defined solely by the component normal to the bilayer (E_VERT). Here, we present a b…
Spectral Codes: A Geometric Formalism for Quantum Error Correction
Satoshi Kanno, Yoshi-aki Shimada
We present a new geometric perspective on quantum error correction based on spectral triples in noncommutative geometry. In this approach, quantum error correcting codes are reform…
Quantum spectroscopy of topological dynamics via a supersymmetric Hamiltonian
Hiroshi Yamauchi, Satoshi Kanno, Yuki Sato +4
Topological data analysis (TDA) characterizes complex dynamics through global invariants, but classical computation becomes prohibitive for high-dimensional data. We reinterpret ti…