Search Results for author: Antoine Ledent

Found 9 papers, 1 papers with code

Beyond Smoothness: Incorporating Low-Rank Analysis into Nonparametric Density Estimation

no code implementations NeurIPS 2021 Robert A. Vandermeulen, Antoine Ledent

In this paper we investigate the theoretical implications of incorporating a multi-view latent variable model, a type of low-rank model, into nonparametric density estimation.

Density Estimation

Fine-grained Generalization Analysis of Inductive Matrix Completion

no code implementations NeurIPS 2021 Antoine Ledent, Rodrigo Alves, Yunwen Lei, Marius Kloft

In this paper, we bridge the gap between the state-of-the-art theoretical results for matrix completion with the nuclear norm and their equivalent in \textit{inductive matrix completion}: (1) In the distribution-free setting, we prove bounds improving the previously best scaling of $O(rd^2)$ to $\widetilde{O}(d^{3/2}\sqrt{r})$, where $d$ is the dimension of the side information and $r$ is the rank.

Matrix Completion

Learning Interpretable Concept Groups in CNNs

1 code implementation21 Sep 2021 Saurabh Varshneya, Antoine Ledent, Robert A. Vandermeulen, Yunwen Lei, Matthias Enders, Damian Borth, Marius Kloft

We propose a novel training methodology -- Concept Group Learning (CGL) -- that encourages training of interpretable CNN filters by partitioning filters in each layer into concept groups, each of which is trained to learn a single visual concept.

Fine-grained Generalization Analysis of Structured Output Prediction

no code implementations31 May 2021 Waleed Mustafa, Yunwen Lei, Antoine Ledent, Marius Kloft

Existing generalization analysis implies generalization bounds with at least a square-root dependency on the cardinality $d$ of the label set, which can be vacuous in practice.

Generalization Bounds speech-recognition +1

Fine-grained Generalization Analysis of Vector-valued Learning

no code implementations29 Apr 2021 Liang Wu, Antoine Ledent, Yunwen Lei, Marius Kloft

In this paper, we initiate the generalization analysis of regularized vector-valued learning algorithms by presenting bounds with a mild dependency on the output dimension and a fast rate on the sample size.

Extreme Multi-Label Classification General Classification +2

Sharper Generalization Bounds for Pairwise Learning

no code implementations NeurIPS 2020 Yunwen Lei, Antoine Ledent, Marius Kloft

Pairwise learning refers to learning tasks with loss functions depending on a pair of training examples, which includes ranking and metric learning as specific examples.

Generalization Bounds Metric Learning

Orthogonal Inductive Matrix Completion

no code implementations3 Apr 2020 Antoine Ledent, Rodrigo Alves, Marius Kloft

We propose orthogonal inductive matrix completion (OMIC), an interpretable approach to matrix completion based on a sum of multiple orthonormal side information terms, together with nuclear-norm regularization.

Matrix Completion

Norm-based generalisation bounds for multi-class convolutional neural networks

no code implementations29 May 2019 Antoine Ledent, Waleed Mustafa, Yunwen Lei, Marius Kloft

This holds even when formulating the bounds in terms of the $L^2$-norm of the weight matrices, where previous bounds exhibit at least a square-root dependence on the number of classes.

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