Recurrence methods in the analysis of learning processes

 The goal of most learning processes is to bring a machine into a set of “correct” states. In practice, however, it may be difficult to show that the process enters this target set. We present a condition that ensures that the process visits the target set infinitely often almost surely. This condition is easy to verify and is true for many well-known learning rules.To demonstrate the utility of this method, we apply it to four types of learning processes: the perceptron, learning rules governed by continuous energy functions, the Kohonen rule, and the committee machine.

Authors: S. Mendelson and I. Nelken
Year of publication: 2001
Journal: Neural Computation Volume 13 | Issue 8 | August 2001 p.1839-1861

Link to publication:


“Working memory”