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Gravitational Waves Propagation as a Probe of New Fundamental Physics

Gravitational-Wave Cosmology with Dark Sirens: State of the Art and Perspectives for 3G Detectors

Gravitational-Wave Event Validation by Advanced LIGO and Advanced Virgo Detectors. Procedures and Challenges for the Upcoming Observing Runs

Gradient Descent Finds Global Minima of Deep Neural Networks

Gradient descent finds a global minimum in training deep neural networks despite the objective function being non-convex. The current paper proves gradient descent achieves zero training loss in polynomial time for a deep over-parameterized neural …

Neural Tangent Kernel: Convergence and Generalization in Neural Networks

The Expressive Power of Neural Networks: A View from the Width

Dropout As a Bayesian Approximation: Representing Model Uncertainty in Deep Learning

Deep learning tools have gained tremendous attention in applied machine learning. However such tools for regression and classification do not capture model uncertainty. In comparison, Bayesian models offer a mathematically grounded framework to …

Tree-structured Stick Breaking for Hierarchical Data