Summer school for teachers

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Connectionist Models Summer School

Binocular depth perception, or stereopsis, depends on matching corresponding points in two images taken from two vantage points. In random-dot stereograms the features to be matched are individual pixels. We have used the recurrent backpropagation learning algorithm of Pineda (1987) to construct network models with lateral and feedback connections that can solve the correspondence problem for r...

ICCL Summer School 2008

Jüngste Erkenntnisse deuten darauf hin, dass das menschliche Schlussfolgern wohl doch „logischer“ ist als lange Zeit angenommen wurde. Hierdurch motiviert boten neun Dozenten den Teilnehmern der ICCL Summer School ein inhaltlich tiefgreifendes und gleichzeitig vielseitiges Programm an Theorie-Tutorien in den Bereichen der Kognitionswissenschaften und formaler Logik. Der zweiwöchige Zeitrahmen e...

Exercises for the Pcmi Summer School

2) Suppose that Γ is a 4-paradoxical group and Γ = A1∪A2∪B1∪B2 is a paradoxical decomposition as defined above. Show that Γ plays ping-pong on itself, where the pingpong players are a := a−1 1 a2 and b := b −1 1 b2 .Deduce that Γ contains a non-abelian free subgroup F2. 3) Define the Tarski number T (Γ) of a group Γ to be the smallest integer N if it exists such that Γ is N -paradoxical. By the...

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