Edited by author 05-02-2002 03:28 PM
Dave: Two URLs:
http://documents.wolfram.com/v4/MainBook/DotEqual.html
http://www.wsu.edu/~brians/errors/flesh.html
I empathize with your mere mathematical mortality (lovely
alliteration!). The authors lost me early on, in the definition
of dynamic texture on page 3. Statements of the form ``we say
that A is a B if there exists a set of C and a D such that,
calling E dotequal F we have E = G with H an I from D for some
choice of J, K and initial condition L'' tend to throw me.
I found equally frustrating their tendency to introduce symbols
without specifying their intended meanings. Perhaps these are
conventional in this field, but I had trouble pinning down
exactly what roles were played by w(t), p_w(t), y(t), x(t), A_i,
B, and {Theta}.
Yet another obstacle to my understanding is my unfamiliarity with
the terminology. Here's a quick rundown of things which are
meaningless to me: second-order process, Lambertian, albedo,
first-order ARMA, spatial filters, auto-regressive, script-L^2,
infinite-dimensional manifold of probability densities,
Riemannian metric, Fisher's Information matrix, first-order
Gauss-Markov models, and the enigmatic phrase ``in the sense of
Frobenius''. (Who is this Frobenius? I didn't find him in the
references.)
I am pleased this is the fourth consecutive paper to reference
Kullback-Leibler divergence. Go KL!