3 problems
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Non-generality of structural stability conjecture for high-dimensional systems
Let be a mapping (neural network) with sufficiently high dimension , let be a bifurcation chain set as in the hyperbolicity violation conjecture, and let be the chai…
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Existence of a codimension epsilon bifurcation set conjecture
Let be a mapping (neural network) with sufficiently high dimension , and let be a bifurcation chain set as in the hyperbolicity violation conjecture. The existence of a…
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Sparse coupling conjecture for high-dimensional random dynamical systems
Let be the Jacobian of a coupled random dynamical system, with state components and , and let denote its Hessian form. A system has a…