In: Bioinformatics, 2018, vol. 34, no. 17, p. i964-i971
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Thèse de doctorat : Università della Svizzera italiana, 2021 ; 2021INFO008.
Fundamental tasks in multivariate and numerical analysis, such as sparse precision matrix estimation via graphical lasso and function approximation, are formulated in ever-increasing dimensions. Consequently, this results in a significant increase in the computational demand that quickly renders standard solution methods intractable. With this motivation, we present two scalable algorithms that...
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In: Calculus of Variations and Partial Differential Equations, 2020, vol. 59, no. 5, p. 177
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spaces and obtain a variant of the associated intrinsic disc studied by...
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In: Finance and Stochastics, 2014, vol. 18, no. 3, p. 487-514
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Thèse de doctorat : Università della Svizzera italiana, 2019 ; 2019INFO002.
The explicit evaluation of selected entries of the inverse of a given sparse matrix is an important process in various application fields and is gaining visibility in recent years. While a standard inversion process would require the computation of the whole inverse who is, in general, a dense matrix, state-of-the-art solvers perform a selected inversion process instead. Such approach allows...
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In: Mathematical Programming, 2012, vol. 134, no. 1, p. 305-322
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In: Letters in Mathematical Physics, 2011, vol. 97, no. 3, p. 243-261
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In: Geometriae Dedicata, 2006, vol. 118, no. 1, p. 49-70
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In: Applied Mathematics & Optimization, 2012, vol. 66, no. 3, p. 387-413
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In: Metallurgical and Materials Transactions A, 2011, vol. 42, no. 1, p. 239-248
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