The Power of Linear Recurrent Neural Networks

Recurrent neural networks are a powerful means to cope with time series. We show how a type of linearly activated recurrent neural networks, which we call predictive neural networks, can approximate any time-dependent function f(t) given by a number of function values. The approximation can effectively be learned by simply solving a linear equation system; no backpropagation or similar methods are needed. Furthermore, the network size can be reduced by taking only most relevant components. Thus, in contrast to others, our approach not only learns network weights but also the network architecture. The networks have interesting properties: They end up in ellipse trajectories in the long run and allow the prediction of further values and compact representations of functions. We demonstrate this by several experiments, among them multiple superimposed oscillators (MSO), robotic soccer, and predicting stock prices. Predictive neural networks outperform the previous state-of-the-art for the MSO task with a minimal number of units.Comment: 22 pages, 14 figures and tables, revised implementatio

Facility Planning Assistance for Local Schools

The Center for Extended Services of the College of Education at Kansas State University is organized for the specific purpose of providing assistance and services to local school systems

Table of contents; From the editors\u27 viewpoint

This content includes the table of contents, editors\u27 note, and editorial information for Vol. 2, no. 1, Fall 197

Educational Considerations, vol. 3(3) Full Issue

Educational Considerations, vol. 3(3) - Spring 1976 Full issu

Table of contents and editorial information for Vol. 3, no. 2, Winter 1976

This content includes the table of contents and editorial information for the Winter 1976 issue

Table of contents and editorial information for Vol. 3, no. 3, Spring 1976

Table of contents and editorial information for Vol. 3, no. 3, Spring 197

Table of contents and editorial information for Vol. 2, no. 3, Spring 1975

Table of contents and editorial information for the Spring 1975 issu

Educational Considerations, vol. 2(1) Full Issue

Educational Considerations, vol. 2 (1) 1974 - Full issu

Educational Considerations, vol. 2(3) Full Issue

Educational Considerations, vol. 2(3)-Spring 1975 - Full issu

Coming in the Spring Issue

Articles and authors of the upcoming spring issue