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» Deriving Category Theory from Type Theory
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IJCNN
2000
IEEE
14 years 1 months ago
On Derivation of MLP Backpropagation from the Kelley-Bryson Optimal-Control Gradient Formula and Its Application
The well-known backpropagation (BP) derivative computation process for multilayer perceptrons (MLP) learning can be viewed as a simplified version of the Kelley-Bryson gradient f...
Eiji Mizutani, Stuart E. Dreyfus, Kenichi Nishio
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
AISC
2010
Springer
14 years 1 months ago
Structured Formal Development with Quotient Types in Isabelle/HOL
General purpose theorem provers provide sophisticated proof methods, but lack some of the advanced structuring mechanisms found in specification languages. This paper builds on pr...
Maksym Bortin, Christoph Lüth
GG
2010
Springer
13 years 9 months ago
Multi-Amalgamation in Adhesive Categories
Abstract. Amalgamation is a well-known concept for graph transformations in order to model synchronized parallelism of rules with shared subrules and corresponding transformations....
Ulrike Golas, Hartmut Ehrig, Annegret Habel
POPL
2006
ACM
14 years 9 months ago
A polymorphic modal type system for lisp-like multi-staged languages
This article presents a polymorphic modal type system and its principal type inference algorithm that conservatively extend ML by all of Lisp's staging constructs (the quasi-...
Ik-Soon Kim, Kwangkeun Yi, Cristiano Calcagno