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Published in Neural Information Processing Systems [NeurIPS], 2018
Structured prediction provides a general framework to deal with supervised problems where the outputs have semantically rich structure. While classical approaches consider finite, albeit potentially huge, output spaces, in this paper we discuss how structured prediction can be extended to a continuous scenario. Specifically, we study a structured prediction approach to manifold valued regression. We characterize a class of problems for which the considered approach is statistically consistent and study how geometric optimization can be used to compute the corresponding estimator. Promising experimental results on both simulated and real data complete our study.
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Published in International Conference on Artificial Intelligence and Statistics [AISTATS], 2020
In this work, we consider the problem of performing manifold-valued regression onto an hyperbolic space as an intermediate component for a number of relevant machine learning applications. In particular, by formulating the problem of predicting nodes of a tree as a manifold regression task in the hyperbolic space, we propose a novel perspective on two challenging tasks: 1) hierarchical classification via label embeddings and 2) taxonomy extension of hyperbolic representations. To address the regression problem we consider previous methods as well as proposing two novel approaches that are computationally more advantageous: a parametric deep learning model that is informed by the geodesics of the target space and a non-parametric kernel-method for which we also prove excess risk bounds.
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Technical course for industry professionals, Digital Tree, 2019
Six months intensive course on the fundamentals of big data and machine learning. I was an instructor for the Machine Learning module. From 2018 to 2020.
Undergraduate course, University of Genoa, Computer Science, 2020
Undergrad course on the fundamentals of probability theory applied to statistical inference and information theory. From 2018 to 2020.