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Can Recent Innovations in Harmonic Analysis ‘Explain’ Key Findings in Natural Image Statistics?
Recent Innovations Natural Image Statistics
2015/8/21
Recently, applied mathematicians have been pursuing the goal of sparse coding of
certain mathematical models of images with edges. They have found by mathematical
analysis that, instead of wavelets ...
Many Roads to Synchrony: Natural Time Scales and Their Algorithms
Chaotic Dynamics (nlin.CD) Formal Languages and Automata Theory (cs.FL) Information Theory (cs.IT) Dynamical Systems (math.DS)
2010/11/10
We survey the variety of ways in which one synchronizes to a stochastic process. We define associated length scales, providing characterization theorems and efficient algorithms for their calculation....
On natural Poisson bivectors on the sphere
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
We discuss the concept of natural Poisson bivectors, which allows us to consider the overwhelming majority of known integrable systems on the sphere in framework of bi-Hamiltonian geometry.