Search Results for author: Konstantinos Slavakis

Found 16 papers, 0 papers with code

Nonparametric Bellman Mappings for Reinforcement Learning: Application to Robust Adaptive Filtering

no code implementations29 Mar 2024 Yuki Akiyama, Minh Vu, Konstantinos Slavakis

This paper designs novel nonparametric Bellman mappings in reproducing kernel Hilbert spaces (RKHSs) for reinforcement learning (RL).

Dimensionality Reduction Reinforcement Learning (RL)

Multilinear Kernel Regression and Imputation via Manifold Learning

no code implementations6 Feb 2024 Duc Thien Nguyen, Konstantinos Slavakis

This paper introduces a novel nonparametric framework for data imputation, coined multilinear kernel regression and imputation via the manifold assumption (MultiL-KRIM).

Dimensionality Reduction Imputation +1

Proximal Bellman mappings for reinforcement learning and their application to robust adaptive filtering

no code implementations14 Sep 2023 Yuki Akiyama, Konstantinos Slavakis

These mappings are defined in reproducing kernel Hilbert spaces (RKHSs), to benefit from the rich approximation properties and inner product of RKHSs, they are shown to belong to the powerful Hilbertian family of (firmly) nonexpansive mappings, regardless of the values of their discount factors, and possess ample degrees of design freedom to even reproduce attributes of the classical Bellman mappings and to pave the way for novel RL designs.

Reinforcement Learning (RL)

Multi-Linear Kernel Regression and Imputation in Data Manifolds

no code implementations6 Apr 2023 Duc Thien Nguyen, Konstantinos Slavakis

This paper introduces an efficient multi-linear nonparametric (kernel-based) approximation framework for data regression and imputation, and its application to dynamic magnetic-resonance imaging (dMRI).

Dimensionality Reduction Imputation +1

online and lightweight kernel-based approximated policy iteration for dynamic p-norm linear adaptive filtering

no code implementations21 Oct 2022 Yuki Akiyama, Minh Vu, Konstantinos Slavakis

This paper introduces a solution to the problem of selecting dynamically (online) the ``optimal'' p-norm to combat outliers in linear adaptive filtering without any knowledge on the probability density function of the outliers.

Dynamic selection of p-norm in linear adaptive filtering via online kernel-based reinforcement learning

no code implementations20 Oct 2022 Minh Vu, Yuki Akiyama, Konstantinos Slavakis

This study addresses the problem of selecting dynamically, at each time instance, the ``optimal'' p-norm to combat outliers in linear adaptive filtering without any knowledge on the potentially time-varying probability distribution function of the outliers.

Kernel Bi-Linear Modeling for Reconstructing Data on Manifolds: The Dynamic-MRI Case

no code implementations27 Feb 2020 Gaurav N. Shetty, Konstantinos Slavakis, Ukash Nakarmi, Gesualdo Scutari, Leslie Ying

This paper establishes a kernel-based framework for reconstructing data on manifolds, tailored to fit the dynamic-(d)MRI-data recovery problem.

Robust Hierarchical-Optimization RLS Against Sparse Outliers

no code implementations11 Oct 2019 Konstantinos Slavakis, Sinjini Banerjee

This paper fortifies the recently introduced hierarchical-optimization recursive least squares (HO-RLS) against outliers which contaminate infrequently linear-regression models.

LEMMA

Brain-Network Clustering via Kernel-ARMA Modeling and the Grassmannian

no code implementations5 Jun 2019 Cong Ye, Konstantinos Slavakis, Pratik V. Patil, Sarah F. Muldoon, John Medaglia

Recent advances in neuroscience and in the technology of functional magnetic resonance imaging (fMRI) and electro-encephalography (EEG) have propelled a growing interest in brain-network clustering via time-series analysis.

Clustering Community Detection +4

Bi-Linear Modeling of Data Manifolds for Dynamic-MRI Recovery

no code implementations27 Dec 2018 Gaurav N. Shetty, Konstantinos Slavakis, Abhishek Bose, Ukash Nakarmi, Gesualdo Scutari, Leslie Ying

This paper puts forth a novel bi-linear modeling framework for data recovery via manifold-learning and sparse-approximation arguments and considers its application to dynamic magnetic-resonance imaging (dMRI).

Dimensionality Reduction

Large-scale subspace clustering using sketching and validation

no code implementations6 Oct 2015 Panagiotis A. Traganitis, Konstantinos Slavakis, Georgios B. Giannakis

At the heart of SkeVa-SC lies a randomized scheme for approximating the underlying probability density function of the observed data by kernel smoothing arguments.

Clustering

Per-Block-Convex Data Modeling by Accelerated Stochastic Approximation

no code implementations29 Jan 2015 Konstantinos Slavakis, Georgios B. Giannakis

Applications involving dictionary learning, non-negative matrix factorization, subspace clustering, and parallel factor tensor decomposition tasks motivate well algorithms for per-block-convex and non-smooth optimization problems.

Clustering Dictionary Learning +2

Sketch and Validate for Big Data Clustering

no code implementations22 Jan 2015 Panagiotis A. Traganitis, Konstantinos Slavakis, Georgios B. Giannakis

In response to the need for learning tools tuned to big data analytics, the present paper introduces a framework for efficient clustering of huge sets of (possibly high-dimensional) data.

Clustering Computational Efficiency

Riemannian Multi-Manifold Modeling

no code implementations1 Oct 2014 Xu Wang, Konstantinos Slavakis, Gilad Lerman

This paper advocates a novel framework for segmenting a dataset in a Riemannian manifold $M$ into clusters lying around low-dimensional submanifolds of $M$.

Clustering

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