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 Statistical Learning






On the Limitations of Fractal Dimension as a Measure of Generalization Charlie B. Tan University of Oxford Inรฉs Garcรญa-Redondo Imperial College London Qiquan Wang

Neural Information Processing Systems

Bounding and predicting the generalization gap of overparameterized neural networks remains a central open problem in theoretical machine learning. There is a recent and growing body of literature that proposes the framework of fractals to model optimization trajectories of neural networks, motivating generalization bounds and measures based on the fractal dimension of the trajectory. Notably, the persistent homology dimension has been proposed to correlate with the generalization gap.



Parameterized Approximation Schemes for Fair-Range Clustering

Neural Information Processing Systems

It imposes lower and upper bound constraints on the number of facilities opened for each label, ensuring fair representation of all demographic groups by the selected facilities.