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Two Models of Double Descent for Weak Features
Published in SIAM journal on mathematics of data science
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Journal Article
Why Are Big Data Matrices Approximately Low Rank?
Published in SIAM journal on mathematics of data science
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Journal Article
Implicit Deep Learning
Published in SIAM journal on mathematics of data science
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Journal Article
Scalable Semidefinite Programming
Published in SIAM journal on mathematics of data science
(01.01.2021)
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Journal Article
Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of Black--Scholes Partial Differential Equations
Published in SIAM journal on mathematics of data science
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Clustering with t-SNE, Provably
Published in SIAM journal on mathematics of data science
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On Gradient-Based Learning in Continuous Games
Published in SIAM journal on mathematics of data science
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Persistent Laplacians: Properties, Algorithms and Implications
Published in SIAM journal on mathematics of data science
(01.06.2022)
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Journal Article
Feel-Good Thompson Sampling for Contextual Bandits and Reinforcement Learning
Published in SIAM journal on mathematics of data science
(01.01.2022)
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Journal Article
Three Hypergraph Eigenvector Centralities
Published in SIAM journal on mathematics of data science
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New Error Bounds for Deep ReLU Networks Using Sparse Grids
Published in SIAM journal on mathematics of data science
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Journal Article
Lipschitz Certificates for Layered Network Structures Driven by Averaged Activation Operators
Published in SIAM journal on mathematics of data science
(01.01.2020)
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Journal Article
What Kinds of Functions Do Deep Neural Networks Learn? Insights from Variational Spline Theory
Published in SIAM journal on mathematics of data science
(01.06.2022)
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The Signature Kernel Is the Solution of a Goursat PDE
Published in SIAM journal on mathematics of data science
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Low-Rank Tucker Approximation of a Tensor from Streaming Data
Published in SIAM journal on mathematics of data science
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