Timezone: »
The notion of "Curse of Dimensionality" was coined by Richard Bellman (1961). It refers to the exponential increase in computing a task of interest when extra dimensions are added to an associated mathematical space. For example, it arises in solving dynamic programming and optimal control problems when the dimension of the state vector is large. It also arises in solving learning problems when a finite number of data samples is used to learn a "state of nature, the distribution of which is infinitely large."
Much has been written on the curse of dimensionality problem in the mathematics and engineering literature. In contrast, little is known on how the human brain solves problems of this kind with relative ease. The key question is: How does the brain do it? To address this basic problem, it may be that we can learn from the mathematics and engineering literature, reformulated in the context of neuroscience.
Author Information
Simon Haykin (Mc Master University)
Terrence Sejnowski (Salk Institute)
Steven W Zucker (Yale University)
More from the Same Authors
-
2018 Poster: Gradient Descent for Spiking Neural Networks »
Dongsung Huh · Terrence Sejnowski -
2014 Poster: Feedforward Learning of Mixture Models »
Matthew Lawlor · Steven W Zucker -
2014 Oral: Feedforward Learning of Mixture Models »
Matthew Lawlor · Steven W Zucker -
2013 Session: Oral Session 3 »
Terrence Sejnowski -
2012 Invited Talk (Posner Lecture): Suspicious Coincidences in the Brain »
Terrence Sejnowski -
2011 Session: Opening Remarks and Awards »
Terrence Sejnowski · Peter Bartlett · Fernando Pereira -
2010 Placeholder: Opening Remarks »
Terrence Sejnowski · Neil D Lawrence -
2010 Talk: Opening Remarks and Awards »
Richard Zemel · Terrence Sejnowski · John Shawe-Taylor -
2009 Invited Talk: Cognitive Dynamic Radio »
Simon Haykin -
2008 Workshop: Cortical Microcircuits and their Computational Functions »
Tomaso Poggio · Terrence Sejnowski -
2006 Workshop: Decoding the neural code »
Eric Thomson · Bill Kristan · Terrence Sejnowski