1 code implementation • 4 Jul 2023 • Sandor Szedmak, Riikka Huusari, Tat Hong Duong Le, Juho Rousu
With the projection operators the relationship, correlation, between sets of input and output variables can also be expressed by kernel functions, thus nonlinear correlation models can be exploited as well.
1 code implementation • 27 Aug 2021 • Riikka Huusari, Sahely Bhadra, Cécile Capponi, Hachem Kadri, Juho Rousu
In this paper, instead of using the traditional representer theorem, we propose to search for a solution in RKHS that has a pre-image decomposition in the original data space, where the elements don't necessarily correspond to the elements in the training set.
no code implementations • 14 Jan 2021 • Riikka Huusari, Hachem Kadri
We consider the problem of operator-valued kernel learning and investigate the possibility of going beyond the well-known separable kernels.
1 code implementation • ICML 2020 • Hachem Kadri, Stéphane Ayache, Riikka Huusari, Alain Rakotomamonjy, Liva Ralaivola
The trace regression model, a direct extension of the well-studied linear regression model, allows one to map matrices to real-valued outputs.
no code implementations • 14 Oct 2019 • Riikka Huusari, Cécile Capponi, Paul Villoutreix, Hachem Kadri
We consider the kernel completion problem with the presence of multiple views in the data.
no code implementations • 21 Mar 2018 • Riikka Huusari, Hachem Kadri, Cécile Capponi
We consider the problem of metric learning for multi-view data and present a novel method for learning within-view as well as between-view metrics in vector-valued kernel spaces, as a way to capture multi-modal structure of the data.