6 problems
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The min-norm regularization conjecture for overparameterized estimators
Min-norm interpolators and estimators are considered in an overparameterized regime, where the number of parameters may exceed the number of observations and interpolation is possi…
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Conjectured concentration of projected norm
Projected -norm concentration conjecture. There is a constant such that
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The overparametrization hypothesis on optimization of empirical risk
Overparametrization hypothesis. Highly overparametrized models should be easy to optimize despite the empirical risk being generally highly non-convex. This is an informal hypothes…
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The tractability via overparametrization conjecture
Consider a statistical learning model with a non-convex objective, parameter-space dimension equal to the number of optimization variables, and sample size viewed as the number of…
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The deep learning principles conjecture
Deep learning refers here to highly overparameterized models trained by gradient methods, with overparametrization meaning that the model has more effective degrees of freedom than…
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The conjecture that overparameterized neural networks make loss landscapes amenable to local search
Large overparameterized neural networks are models with substantially more parameters than are needed to fit the training data. Local search methods include stochastic gradient des…