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ESANN
2004
15 years 7 months ago
Input Space Bifurcation Manifolds of RNNs
We derive analytical expressions of local codim-1-bifurcations for a fully connected, additive, discrete-time RNN, where we regard the external inputs as bifurcation parameters. Th...
Robert Haschke, Jochen J. Steil
APAL
2008
77views more  APAL 2008»
15 years 6 months ago
More on SOP1 and SOP2
This paper continues [Sh500] and [DzSh692]. We present a rank function for NSOP1 theories and give an example of a theory which is NSOP1 but not simple. We also investigate the con...
Saharon Shelah, Alexander Usvyatsov
CORR
2010
Springer
101views Education» more  CORR 2010»
15 years 5 months ago
Online Learning: Random Averages, Combinatorial Parameters, and Learnability
We develop a theory of online learning by defining several complexity measures. Among them are analogues of Rademacher complexity, covering numbers and fatshattering dimension fro...
Alexander Rakhlin, Karthik Sridharan, Ambuj Tewari
ORDER
2010
100views more  ORDER 2010»
15 years 4 months ago
Quantum Logic in Dagger Kernel Categories
This paper investigates quantum logic from the perspective of categorical logic, and starts from minimal assumptions, namely the existence of involutions/daggers and kernels. The ...
Chris Heunen, Bart Jacobs
IJRR
2010
117views more  IJRR 2010»
15 years 3 months ago
Generalizing Dubins Curves: Minimum-time Sequences of Body-fixed Rotations and Translations in the Plane
This paper presents the minimum-time sequences of rotations and translations that connect two configurations of a rigid body in the plane. The configuration of the body is its pos...
Andrei A. Furtuna, Devin J. Balkcom