MathDB4 problems
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The multi-scale dynamics conjecture for neural ODE classification
Let a neural ODE classification process evolve through several stages in time, with its dynamics generating manifolds that approximate the class boundary. Multi-scale dynamics conj…
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The in-training flow group-properties convergence conjecture
A flow is a family of maps with group properties, and neural conjugate flows represent dynamics by composing an invertible map, a flow, and its inverse. Training may either impose…
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Conjecture on the dual nature of the undamped pendulum system
Consider the undamped pendulum system … Its trajectories may be periodic or unbounded, depending on the initial conditions. The dual-nature conjecture. The worse performance of the…
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Numerical-stability conjecture for preconditioned neural ODE updates
The parameters are trained using preconditioned updates in a continuous-time model whose forward and backward passes solve parameterized ordinary differential equations. Numerical-…