Publications related to Neural Tanget Kernel: Convergence and Generalization in Neural Networks

We consider the optimization of a quadratic objective function whose gradients are only accessible through a stochastic oracle that returns the gradient at any given point plus a zero-mean finite variance random error. We present the first algorithm that a ...

2015

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Alfio Quarteroni, Luca Dede', Claudia Maria Colciago

In this paper, we propose the mathematical and finite element analysis of a second-order partial differential equation endowed with a generalized Robin boundary condition which involves the Laplace--Beltrami operator by introducing a function space $H^1(\O ...

Society for Industrial and Applied Mathematics2015

A New Formulation of the Cooray-Rubinstein Expression in Time Domain

In this paper, a new formulation in the time domain of the Cooray-Rubinstein expression is presented. This new formulation overcomes the problems related to the previous formulation: The Dirac pulse contained in the kernel of the previous formulation is ex ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Implementation of a Human Feedback-based Locomotion and its Control by means of a Feedforward Component inspired by Central Pattern Generators

Florin Dzeladini

Walking gaits of various animals have been modeled using this framework of differential equations, and more specifically, using network of coupled oscillators or CPG (Central Pattern Generators). In these models, oscillators are coupled among themselves an ...

2013

When crowding of crowding leads to uncrowding

Michael Herzog, Bilge Sayim, Mauro Manassi

In object recognition, features are thought to be processed in a hierarchical fashion from low-level analysis (edges and lines) to complex figural processing (shapes and objects). Here, we show that figural processing determines low-level processing. Verni ...

Association for Research in Vision and Ophthalmology2013

Nonlinear data description with Principal Polynomial Analysis

Devis Tuia

Principal Component Analysis (PCA) has been widely used for manifold description and dimensionality reduction. Performance of PCA is however hampered when data exhibits nonlinear feature relations. In this work, we propose a new framework for manifold lear ...

2012

Enhanced change detection using nonlinear feature extraction

Devis Tuia, Giona Matasci

This paper presents an application of the kernel principal component analysis aiming at aligning optical images before the application of change detection techniques. The approach relies on the extraction of nonlinear features from a selected subset of pix ...

2012

Neural Tanget Kernel: Convergence and Generalization in Neural Networks

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Lower Bounds on Regret for Noisy Gaussian Process Bandit Optimization

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

From averaging to acceleration, there is only a step-size

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

A New Formulation of the Cooray-Rubinstein Expression in Time Domain

Implementation of a Human Feedback-based Locomotion and its Control by means of a Feedforward Component inspired by Central Pattern Generators

When crowding of crowding leads to uncrowding

Nonlinear data description with Principal Polynomial Analysis

Enhanced change detection using nonlinear feature extraction

Nonlinear data description with Principal Polynomial Analysis

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Lower Bounds on Regret for Noisy Gaussian Process Bandit Optimization

Implementation of a Human Feedback-based Locomotion and its Control by means of a Feedforward Component inspired by Central Pattern Generators

A New Formulation of the Cooray-Rubinstein Expression in Time Domain

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Enhanced change detection using nonlinear feature extraction

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

When crowding of crowding leads to uncrowding

From averaging to acceleration, there is only a step-size