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Differentiable Genetic Programming for High-dimensional Symbolic Regression
With these designs, the proposed DGP method can efficiently search for the GP trees with higher performance, thus being capable of dealing with high-dimensional SR. To demonstrate the effectiveness of DGP, we conducted various experiments against the state of the arts based on both GP and deep neural networks.
Differentiable Search of Accurate and Robust Architectures
Deep neural networks (DNNs) are found to be vulnerable to adversarial attacks, and various methods have been proposed for the defense.
An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian $n$-body Problem
Moreover for homothetic solutions with arbitrary energy, we give a simple and precise formula that relates the Morse indices of these homothetic solutions to the spectra of the normalized potential at the corresponding central configurations.
Dynamical Systems 70F16, 70F10, 37J45, 53D12
