• Publications
  • Influence
Some Properties of Gaussian Reproducing Kernel Hilbert Spaces and Their Implications for Function Approximation and Learning Theory
We give several properties of the reproducing kernel Hilbert space induced by the Gaussian kernel, along with their implications for recent results in the complexity of the regularized least squareExpand
  • 71
  • 14
A unifying framework for vector-valued manifold regularization and multi-view learning
TLDR
We present a general vector-valued reproducing kernel Hilbert spaces (RKHS) formulation for the problem of learning an unknown functional dependency between a structured input space and a structured output space, in the Semi-Supervised Learning setting. Expand
  • 55
  • 9
  • PDF
Kernel-based classification for brain connectivity graphs on the Riemannian manifold of positive definite matrices
TLDR
We propose a general classification framework based on Riemannian geometry and kernel methods that can be applied to connectivity matrices for the classification task. Expand
  • 23
  • 7
  • PDF
Mercer's Theorem, Feature Maps, and Smoothing
TLDR
We study Mercer's theorem and feature maps for several positive definite kernels that are widely used in practice. Expand
  • 137
  • 6
  • PDF
Semi-supervised multi-feature learning for person re-identification
TLDR
We propose a semi-supervised multi-class learning approach for person re-identification in the presence of a camera network with non-overlapped fields of view. Expand
  • 56
  • 6
  • PDF
Vector-valued Manifold Regularization
TLDR
We consider the general problem of learning an unknown functional dependency, f : X ↦ Y , between a structured input space X and a structured output space Y, from labeled and unlabeled examples. Expand
  • 45
  • 6
  • PDF
A Unifying Framework in Vector-valued Reproducing Kernel Hilbert Spaces for Manifold Regularization and Co-Regularized Multi-view Learning
TLDR
We present a general vector-valued reproducing kernel Hilbert spaces (RKHS) framework for the problem of learning an unknown functional dependency between a structured input space and a structured output space. Expand
  • 40
  • 4
  • PDF
Image and Video Colorization Using Vector-Valued Reproducing Kernel Hilbert Spaces
TLDR
We propose an RKHS framework for image and video colorization. Expand
  • 45
  • 3
  • PDF
Log-Hilbert-Schmidt metric between positive definite operators on Hilbert spaces
TLDR
This paper introduces a novel mathematical and computational framework, namely Log-Hilbert-Schmidt metric between positive definite operators on a Hilbert space, for which we obtain explicit formulas via Gram matrices. Expand
  • 57
  • 2
  • PDF
A New Kernel-Based Approach for NonlinearSystem Identification
TLDR
We present a novel nonparametric approach for identification of nonlinear systems. Expand
  • 51
  • 2
...
1
2
3
4
5
...