Search Results for author: Luigi Carratino

Found 12 papers, 8 papers with code

Efficient Hyperparameter Tuning for Large Scale Kernel Ridge Regression

1 code implementation17 Jan 2022 Giacomo Meanti, Luigi Carratino, Ernesto de Vito, Lorenzo Rosasco

Our analysis shows the benefit of the proposed approach, that we hence incorporate in a library for large scale kernel methods to derive adaptively tuned solutions.

regression

Mean Nyström Embeddings for Adaptive Compressive Learning

1 code implementation21 Oct 2021 Antoine Chatalic, Luigi Carratino, Ernesto de Vito, Lorenzo Rosasco

Compressive learning is an approach to efficient large scale learning based on sketching an entire dataset to a single mean embedding (the sketch), i. e. a vector of generalized moments.

Ada-BKB: Scalable Gaussian Process Optimization on Continuous Domains by Adaptive Discretization

no code implementations16 Jun 2021 Marco Rando, Luigi Carratino, Silvia Villa, Lorenzo Rosasco

In this paper, we introduce Ada-BKB (Adaptive Budgeted Kernelized Bandit), a no-regret Gaussian process optimization algorithm for functions on continuous domains, that provably runs in $O(T^2 d_\text{eff}^2)$, where $d_\text{eff}$ is the effective dimension of the explored space, and which is typically much smaller than $T$.

Kernel methods through the roof: handling billions of points efficiently

1 code implementation NeurIPS 2020 Giacomo Meanti, Luigi Carratino, Lorenzo Rosasco, Alessandro Rudi

Kernel methods provide an elegant and principled approach to nonparametric learning, but so far could hardly be used in large scale problems, since na\"ive implementations scale poorly with data size.

On Mixup Regularization

1 code implementation10 Jun 2020 Luigi Carratino, Moustapha Cissé, Rodolphe Jenatton, Jean-Philippe Vert

We show that Mixup can be interpreted as standard empirical risk minimization estimator subject to a combination of data transformation and random perturbation of the transformed data.

Ranked #75 on Image Classification on ObjectNet (using extra training data)

Data Augmentation Image Classification

Gaussian Process Optimization with Adaptive Sketching: Scalable and No Regret

1 code implementation13 Mar 2019 Daniele Calandriello, Luigi Carratino, Alessandro Lazaric, Michal Valko, Lorenzo Rosasco

Moreover, we show that our procedure selects at most $\tilde{O}(d_{eff})$ points, where $d_{eff}$ is the effective dimension of the explored space, which is typically much smaller than both $d$ and $t$.

Gaussian Processes

On Fast Leverage Score Sampling and Optimal Learning

1 code implementation NeurIPS 2018 Alessandro Rudi, Daniele Calandriello, Luigi Carratino, Lorenzo Rosasco

Leverage score sampling provides an appealing way to perform approximate computations for large matrices.

regression

Learning with SGD and Random Features

no code implementations NeurIPS 2018 Luigi Carratino, Alessandro Rudi, Lorenzo Rosasco

Sketching and stochastic gradient methods are arguably the most common techniques to derive efficient large scale learning algorithms.

FALKON: An Optimal Large Scale Kernel Method

4 code implementations NeurIPS 2017 Alessandro Rudi, Luigi Carratino, Lorenzo Rosasco

In this paper, we take a substantial step in scaling up kernel methods, proposing FALKON, a novel algorithm that allows to efficiently process millions of points.

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