Category Archives: point pattern analysis

The Johnson-Lindenstrauss Lemma, and the paradoxical power of random linear operators. Part 1.

Posted on 20 November 2018 by

Updated, 2018-12-04 I’ll be discussing the ramifications of: William B. Johnson and Joram Lindenstrauss, “Extensions of Lipschitz mappings into a Hilbert space, Contemporary Mathematics, 26:189–206, 1984. for several posts here. Some introduction and links to proofs and explications will be … Continue reading →

Posted in clustering, data science, dimension reduction, information theoretic statistics, Johnson-Lindenstrauss Lemma, k-NN, Locality Sensitive Hashing, mathematics, maths, multivariate statistics, non-parametric model, numerical algorithms, numerical linear algebra, point pattern analysis, random projections, recommender systems, science, stochastic algorithms, stochastics, subspace projection methods | 1 Comment

France, and Mathematics

Posted on 11 June 2016 by

Cédric Villani, does Mathematics. “Problems worthy of attack, prove their worth by hitting back.” — Piet Hein

Posted in abstraction, Google, mathematics, mathematics education, maths, networks, Pagerank, percolation theory, point pattern analysis, probability, rationality, reasonableness, stochastic algorithms | Leave a comment

“Solar power is contagious. These maps show how it spreads.” (from Vox)

Posted on 6 May 2016 by

Brad Plumer at Vox writes on take-up patterns of rooftop solar based upon a large dataset from SolarCity. The full article is available at the SolarCity site. Mr Plumer combines it with a report on other studies of solar adoption … Continue reading →

Posted in Bloomberg New Energy Finance, BNEF, business, clean disruption, decentralized electric power generation, decentralized energy, demand-side solutions, destructive economic development, diffusion, diffusion processes, disruption, distributed generation, economics, electricity markets, energy, energy utilities, exponential growth, grid defection, investment in wind and solar energy, local generation, Peter Diggle, point pattern analysis, public utility commissions, PUCs, rate of return regulation, regulatory capture, sociology, solar domination, solar energy, solar power, SolarPV.tv, spatial statistics, statistics, stochastics, the energy of the people, the green century, utility company death spiral, zero carbon | Leave a comment