Igor Kuvychko
Industrial decision systems, mathematical modeling, optimization, simulation, and technical essays.
I build decision systems for complex industrial environments and write about mathematics, optimization, software, and the occasional engineering side quest.
Featured
Shortest Paths as Relaxation Schedules
An interactive explainer comparing Bellman–Ford, Dijkstra, min-plus propagation, and max-plus critical paths as different schedules for applying the same relaxation update. Step through synchronous Bellman–Ford sweeps, Dijkstra’s priority-driven finalization, tropical (min-plus) matrix powers, and max-plus critical-path propagation on a shared visual language.
Selected work
Interactive: Max-plus cadence
Close a schedule into a loop and its long-run beat becomes an eigenvalue. Trajectories, transients, eigenvectors, and a live bottleneck-sensitivity explorer.
Paper: Gregory Bateson and AI
A published technical note on how Bateson’s cybernetics — information as “a difference which makes a difference,” mind as an extended circuit — sharpens questions about modern AI systems. With a companion podcast conversation.
Paper: When Addition Becomes Optimization
An expository paper (in preparation) tracing one weighted graph through min-plus and max-plus algebra: shortest paths, critical paths, schedules, and bottleneck cadence as one matrix recurrence.
Project: Complexplorer
A Python library for visualizing complex functions — domain coloring, phase portraits, and Riemann relief maps that export to 3D-printable mathematical ornaments. Available on PyPI.
3D Printing
3D-printed mathematical objects, lab fixtures, and practical workshop designs — the hands-on side of the same technical work. Models are published on Printables.
About this site
This is a canonical hub for selected technical work: essays and mathematical notes, papers and supporting information, interactive educational artifacts, a few public projects, and 3D-printed designs. It is curated rather than exhaustive — new work is distributed through GitHub, archived on Zenodo, and published on Printables, while these pages provide stable, readable landing points that connect those surfaces.