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09/06/2022
Rates of Convergence for Regression with the Graph Poly-Laplacian
In the (special) smoothing spline problem one considers a variational pr...
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01/14/2022
Eikonal depth: an optimal control approach to statistical depths
Statistical depths provide a fundamental generalization of quantiles and...
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11/26/2021
The Geometry of Adversarial Training in Binary Classification
We establish an equivalence between a family of adversarial training pro...
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04/04/2021
Tukey Depths and Hamilton-Jacobi Differential Equations
The widespread application of modern machine learning has increased the ...
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11/21/2020
Adversarial Classification: Necessary conditions and geometric flows
We study a version of adversarial classification where an adversary is e...
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08/12/2020
Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion
The paper considers distributed gradient flow (DGF) for multi-agent nonc...
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04/20/2020
From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds
In this work we study statistical properties of graph-based clustering a...
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08/07/2019
Distributed Gradient Descent: Nonconvergence to Saddle Points and the Stable-Manifold Theorem
The paper studies a distributed gradient descent (DGD) process and consi...
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01/29/2019
A maximum principle argument for the uniform convergence of graph Laplacian regressors
We study asymptotic consistency guarantees for a non-parametric regressi...
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08/09/2018
Spatial extreme values: variational techniques and stochastic integrals
This work employs variational techniques to revisit and expand the const...
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07/19/2017
On Best-Response Dynamics in Potential Games
The paper studies the convergence properties of (continuous) best-respon...
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07/19/2017
Fictitious Play in Potential Games
This work studies the convergence properties of continuous-time fictitio...
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07/19/2017
Regular Potential Games
A fundamental problem with the Nash equilibrium concept is the existence...
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07/01/2016