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.
Mathematical framework for traversal, ordered novelty, memory, and asymptotic completion in metric and hyperbolic spaces.
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.
超度量数系技术栈（SGN / HC）：基于超度量空间的自定义数值类型系统，C11/C++ 实现。含完整 ABI 主线（v0.1）与神经网络量化推理扩展（v0.2 SBE Conv2d/VNNI），已完结。Apache-2.0。Hypermetric codec stack: custom ultrametric number system in C, with neural-network quantization inference extensions (SBE, VNNI, Conv2d). Completed, archived.
Unity of Ultrametric Physics: A Self-Contained Development from First Principles
Ultrametric distribution of culture vectors in an extended Axelrod model of cultural dissemination
QWAV
Language-neutral information retrieval on Nested Semantic Trees. 27-doc 8-language corpus
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
The Ultrametric Paradigm: How the Choice of Geometry Determines Everything
ULTRAMETRIC QUANTUM COMPUTATION: An MVP Program for Passive Geometric Fault Tolerance
THE ROAD NOT TAKEN: A Different Kind of Physics
Number systems as metric-neutral: the same symbols read under Archimedean or ultrametric interpretation
Tree and Shadow visualization — ultrametric geometry explorer
Interactive convergence demo — Cloudflare Pages
Interactive cross-domain tree universality explorer — one geometry, six domains. QWAV artifact K1
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