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Published in Journal of Machine Learning Research, 2020
This paper presents interesting theoretical properties of a Bayesian approach to semi-supervised learning on graphs.
Published in ArXiv Preprint, 2024
This paper presents the multiradial method for solving constrained convex optimization problems. This method assumes minimal structure on the objective function and does not rely on projections to the feasible region.
Published in ArXiv Preprint, 2025
This paper provides smooth, convex functions (or sets) of fixed curvature that minimize the distance to the original function (or set).
Published in ArXiv Preprint, 2025
The paper proves a sharp limitation on smoothing the max-of-coordinates function in \(d\) dimensions. Any convex surrogate with the desired smoothness must incur a worst-case error that grows like \(\log d\), so the standard LogSumExp smoothing is essentially optimal up to constants. This result is proved using elementary inequalities about smooth, convex functions. The paper also proves that in small dimensions (\(d = 2, 3\)) LogSumExp fails to be optimal.
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Undergraduate course, University 1, Department, 2014
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Workshop, University 1, Department, 2015
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