Two-and-a-half millennia ago, the Greek philosopher Heraclitus, observing that the world is
in eternal flux, wrote that you can never step in the same river twice. If he were alive today …

Is perception of the whole based on perception of its parts? There is psychological 1 and
physiological 2 , 3 evidence for parts-based representations in the brain, and certain …

We interpret several well-known algorithms for dimensionality reduction of manifolds as
kernel methods. Isomap, graph Laplacian eigenmap, and locally linear embedding (LLE) all …

… Neurally-Guided Procedural Models: Amortized Inference for Procedural Graphics
Programs using Neural Networks, Daniel … Blind Regression: Nonparametric Regression …

In this paper we propose a discriminant learning framework for problems in which data consist
of linear subspaces instead of vectors. By treating subspaces as basic elements, we can …

Studies of the neural correlates of short-term memory in a wide variety of brain areas have
found that transient inputs can cause persistent changes in rates of action potential firing, …

A theory of temporally asymmetric Hebb rules, which depress or potentiate synapses depending
upon whether the postsynaptic cell fires before or after the presynaptic one, is presented…

How can we search for low-dimensional structure in high-dimensional data? If the data are
mainly confined to a low-dimensional subspace, then simple linear methods can be used to …

This paper considers the design of optimal resource allocation policies in wireless
communication systems, which are generically modeled as a functional optimization problem with …

This paper presents a method to compute an approximate explicit model predictive control (MPC)
law using neural networks. The optimal MPC control law for constrained linear …