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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.

no code implementations • 16 Nov 2022 • Luc Brogat-Motte, Alessandro Rudi, Céline Brouard, Juho Rousu, Florence d'Alché-Buc

We propose and analyse a reduced-rank method for solving least-squares regression problems with infinite dimensional output.

1 code implementation • 8 Feb 2022 • Luc Brogat-Motte, Rémi Flamary, Céline Brouard, Juho Rousu, Florence d'Alché-Buc

This paper introduces a novel and generic framework to solve the flagship task of supervised labeled graph prediction by leveraging Optimal Transport tools.

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 • 29 Jul 2020 • Luc Brogat-Motte, Alessandro Rudi, Céline Brouard, Juho Rousu, Florence d'Alché-Buc

A powerful and flexible approach to structured prediction consists in embedding the structured objects to be predicted into a feature space of possibly infinite dimension by means of output kernels, and then, solving a regression problem in this output space.

no code implementations • 4 May 2020 • Sandor Szedmak, Anna Cichonska, Heli Julkunen, Tapio Pahikkala, Juho Rousu

For learning the models, we present an efficient gradient-based algorithm that can be implemented in linear time in the sample size, order, rank of the tensor and the dimension of the input.

1 code implementation • 18 Apr 2018 • Markus Heinonen, Maria Osmala, Henrik Mannerström, Janne Wallenius, Samuel Kaski, Juho Rousu, Harri Lähdesmäki

Flux analysis methods commonly place unrealistic assumptions on fluxes due to the convenience of formulating the problem as a linear programming model, and most methods ignore the notable uncertainty in flux estimates.

1 code implementation • 7 Nov 2017 • Viivi Uurtio, João M. Monteiro, Jaz Kandola, John Shawe-Taylor, Delmiro Fernandez-Reyes, Juho Rousu

Canonical correlation analysis is a family of multivariate statistical methods for the analysis of paired sets of variables.

2 code implementations • 8 Feb 2016 • Sahely Bhadra, Samuel Kaski, Juho Rousu

In this paper, we introduce the first method that (1) can complete kernel matrices with completely missing rows and columns as opposed to individual missing kernel values, (2) does not require any of the kernels to be complete a priori, and (3) can tackle non-linear kernels.

1 code implementation • 18 Aug 2015 • Markus Heinonen, Henrik Mannerström, Juho Rousu, Samuel Kaski, Harri Lähdesmäki

We present a novel approach for fully non-stationary Gaussian process regression (GPR), where all three key parameters -- noise variance, signal variance and lengthscale -- can be simultaneously input-dependent.

no code implementations • NeurIPS 2014 • Mario Marchand, Hongyu Su, Emilie Morvant, Juho Rousu, John S. Shawe-Taylor

We show that the usual score function for conditional Markov networks can be written as the expectation over the scores of their spanning trees.

no code implementations • 31 Oct 2013 • Hongyu Su, Juho Rousu

We present new methods for multilabel classification, relying on ensemble learning on a collection of random output graphs imposed on the multilabel and a kernel-based structured output learner as the base classifier.

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