Ultrametric Fitting by Gradient Descent
Number representation when the base is a free parameter — a machine-checked corpus on function-defined radix systems, from positional notation as algebra to the geometry and conservation laws of coupled radix networks.
A new way to visualize beautiful phylogenetic trees alongside contextual data.
Toolbox that provides functions and data structures to generate and handle ultrametric matrices.
Calculation of ultrametric matrix, data clusterability, single-link hierarchical clustering. A novel GPU based approach embeded with PyTorch framework.
Unity of Ultrametric Physics: A Self-Contained Development from First Principles
QWAV
Ultrametric distribution of culture vectors in an extended Axelrod model of cultural dissemination
ACRP-02: Formal note on the tree vs boundary distinction — vertex metric 0-hyperbolic but NOT ultrametric; boundary Gromov metric IS ultrametric and recovers |.|_p. Corrects ZBW P1 Claim C2 (ultrametric core -> 0-hyperbolic core).
The Branch and the Shadow
ULTRAMETRIC QUANTUM COMPUTATION: An MVP Program for Passive Geometric Fault Tolerance
Interactive cross-domain tree universality explorer — one geometry, six domains. QWAV artifact K1
The Ultrametric Paradigm: How the Choice of Geometry Determines Everything
THE ROAD NOT TAKEN: A Different Kind of Physics
Language-neutral information retrieval on Nested Semantic Trees. 27-doc 8-language corpus
Interactive cophenetic/ultrametric/Euclidean distance comparison — QWAV artifact A4
The Harmonic Paradigm: harmonic oscillator as universal IR attractor, RG as scale-space syntax, alpha as unifying distance-from-harmonicity parameter across 8-rung ladder.
3D rotatable 40-atom neutral atom tree visualization — QWAV artifact A5
QNFO.UMP.004: QEC-Darwinism tradeoff in ultrametric spaces
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