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» Automata on Linear Orderings
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92
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NIPS
2003
15 years 2 months ago
Information Dynamics and Emergent Computation in Recurrent Circuits of Spiking Neurons
We employ an efficient method using Bayesian and linear classifiers for analyzing the dynamics of information in high-dimensional states of generic cortical microcircuit models....
Thomas Natschläger, Wolfgang Maass
COMBINATORICS
2007
66views more  COMBINATORICS 2007»
15 years 19 days ago
The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor
We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...
Arvind Ayyer, Doron Zeilberger
81
Voted
JSYML
2008
69views more  JSYML 2008»
15 years 19 days ago
Aronszajn lines and the club filter
The purpose of this note is to demonstrate that a weak form of club guessing on 1 implies the existence of an Aronszajn line with no Countryman suborders. An immediate consequence ...
Justin Tatch Moore
97
Voted
SCL
2008
105views more  SCL 2008»
15 years 17 days ago
Computation of nonlinear balanced realization and model reduction based on Taylor series expansion
In this paper a computational algorithm for nonlinear balanced realization and model reduction based on Taylor series expansion is proposed. This algorithm requires recursive comp...
Kenji Fujimoto, Daisuke Tsubakino
79
Voted
JSYML
1998
68views more  JSYML 1998»
15 years 9 days ago
Pseudo-Superstructures as Nonstandard Universes
A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard ...
Mauro Di Nasso