Sheaves: A Topological Approach to Big Data

1 code implementation • 4 Jan 2019 • Linas Vepstas

The resulting extracted structure or set of patterns are manifestly symbolic in nature, as they capture and encode the graph structure of the dataset in terms of a (generative) grammar.

Symbol Grounding via Chaining of Morphisms

no code implementations • 13 Mar 2017 • Ruiting Lian, Ben Goertzel, Linas Vepstas, David Hanson, Changle Zhou

A new model of symbol grounding is presented, in which the structures of natural language, logical semantics, perception and action are represented categorically, and symbol grounding is modeled via the composition of morphisms between the relevant categories.

Common Sense Reasoning

Learning Language from a Large (Unannotated) Corpus

1 code implementation • 14 Jan 2014 • Linas Vepstas, Ben Goertzel

A novel approach to the fully automated, unsupervised extraction of dependency grammars and associated syntax-to-semantic-relationship mappings from large text corpora is described.

Durkheim Project Data Analysis Report

no code implementations • 24 Oct 2013 • Linas Vepstas

This report describes the suicidality prediction models created under the DARPA DCAPS program in association with the Durkheim Project [http://durkheimproject. org/].

General Classification

An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

1 code implementation • 9 Feb 2007 • Linas Vepstas

Alternatively, the Hurwitz zeta can be very rapidly evaluated by means of an Euler-Maclaurin series.

Classical Analysis and ODEs Numerical Analysis Number Theory 65B10 (primary), 11M35, 11Y35, 33F05, 68W25 (secondary)