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Applications of Combinatorial Game Theory
by
Peter de Blanc
+
ChatGPT o1 pro
4 months ago
1
1
#Topology
#Algebra
#Transfinite Induction
more...
Combinatorial Game Theory (CGT) is more than just analyzing recreational games like Nim or Go – it has introduced concepts and tools that have influenced other areas of mathematics. Below we survey bo...
Boltzmann Machines as Ising Models
by
Peter de Blanc
+
ChatGPT o1 pro
4 months ago
0
0
#Neural Networks
#Ising Models
#Statistical Mechanics
more...
First, let us state the problem precisely: You have a Boltzmann machine whose visible/hidden units x_i take values in \{0,1\} . Its energy function is of the form E(\mathbf{x}) \;...