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An Improved Analysis of Training Over-parameterized Deep Neural Networks

Neural Information Processing Systems

Arecent lineofresearch hasshownthatgradient-based algorithms withrandom initialization can converge to the global minima of the training loss for overparameterized (i.e.,sufficiently wide)deepneuralnetworks. However,thecondition onthewidth oftheneural networktoensure theglobal convergence isvery stringent, which is often a high-degree polynomial in the training sample size n (e.g., O(n24)).



LearningSocialWelfareFunctions

Neural Information Processing Systems

Consider a standard decision making setting that includes a set of possible actions (decisions or policies), and a set of individuals who assign utilities to the actions.