Predictive state representations (PSRs) are models that represent the state of a dynamical system as a set of predictions about future events. The existing work with PSRs focuses on trying to learn exact models, an approach that cannot scale to complex dynamical systems. In contrast, our work takes the first steps in developing a theory of approximate PSRs. We examine the consequences of using ...

Automated domain factoring, and planning methods that utilize them, have long been of interest to planning researchers. Recent work in this area yielded new theoretical insight and algorithms, but left many questions open: How to decompose a domain into factors? How to work with these factors? And whether and when decomposition-based methods are useful? This paper provides theoretical analysis ...

An attempt was made to duplicate Rosvold and Mishkin's finding of clear differentiation between groups, using a modified Yerkes Multiple-Choice Test with 23 lobotomized and 22 unlobotomized schizophrenics for whom scores were available on 10-factored aptitude tests and 2 Wechsler-Bellevue scales. Though marked intergroup differences appeared on the aptitude tests, none appeared on the Yerkes te...

The Fundamental Theorem of Algebra says every nonconstant polynomial with complex coefficients can be factored into linear factors. The original form of this theorem makes no mention of complex polynomials or even complex numbers: it says that in R[x], every nonconstant polynomial can be factored into a product of linear and quadratic factors. (For any polynomial f(x) ∈ C[x], the product f(x)f(...