Publications related to Consistent Sobolev Regression via Fuzzy Systems with Overlapping Concepts

Two subtle convex nonlocal approximations of the BV-norm

Inspired by the BBM formula and by work of G. Leoni and D. Spector, we analyze the asymptotic behavior of two sequences of convex nonlocal functionals (Psi(n)(u)) and (Phi(n)(u)) which converge formally to the BV-norm of u. We show that pointwise convergen ...

Elsevier2016

Structured Dimensionality Reduction for Additive Model Regression

Pascal Frossard, Alhussein Fawzi

Additive models are regression methods which model the response variable as the sum of univariate transfer functions of the input variables. Key benefits of additive models are their accuracy and interpretability on many real-world tasks. Additive models a ...

Institute of Electrical and Electronics Engineers2016

Efficient Distributed Decision Trees for Robust Regression

Karl Aberer, Jean Paul Calbimonte Perez, Tian Guo

The availability of massive volumes of data and recent advances in data collection and processing platforms have motivated the development of distributed machine learning algorithms. In numerous real-world applications large datasets are inevitably noisy a ...

2016

Modeling, Regression and Optimization

Julien Léo Billeter

This lecture describes the following topics: • Preamble on Linear Algebra • Dynamic and Static Models • Solving Dynamic and Static Models • Solving Regression Problems • Solving Static and Dynamic Optimization Probl ...

2016

Locally Linear Neuro-Fuzzy Estimate of the Prosthetic Knee Angle and its Validation in a Robotic Simulator

Kamiar Aminian, Arash Arami, Natacha Vida Martins

Here we present a low-power magnetic measurement system based on only two Hall-effect elements and a permanent magnet integrated into a smart knee prosthesis to accurately measure knee flexion-extension. The smart prosthesis was tested in a robotic knee si ...

Institute of Electrical and Electronics Engineers2015

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Dominique Bonvin, Timm Faulwasser

We discuss the design of sampled-data economic nonlinear model predictive control schemes for continuous-time systems based on turnpike properties. In a recent paper we have shown that an exact turnpike property allows establishing finite-time convergence ...

2015

Process Design and Optimization (MLS-S03): a Journey in Modeling, Optimization and Regression

Julien Léo Billeter

This lecture describes the following topics: • Preamble on Linear Algebra • Dynamic and Static Models • Solving Dynamic and Static Models • Solving Optimization Problems • Solving Regression Problems ...

2015

Stable blow up dynamics for energy supercritical wave equations

Roland Donninger

We study the semilinear wave equation

\displaystyle \partial _t^2 \psi -\Delta \psi =\vert\psi \vert^{p-1}\psi

for

p > 3

with radial data in three spatial dimensions. There exists an explicit solution which blows up at

t=T>0

given by $\displaystyl ...

American Mathematical Society2014

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Ali H. Sayed, Jie Chen

There are many important applications that are multitask-oriented in the sense that there are multiple optimum parameter vectors to be inferred simultaneously by networked agents. In this paper, we formulate an online multitask learning problem where node ...

IEEE2014

Convergence of Ising Interfaces to Schramm's SLE Curves

Clément Hongler, Stanislav Smirnov

We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm’s SLE curves with parameter κ = 3 and κ = 16 / 3 respectively. ...

2014

Consistent Sobolev Regression via Fuzzy Systems with Overlapping Concepts

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Two subtle convex nonlocal approximations of the BV-norm

Structured Dimensionality Reduction for Additive Model Regression

Efficient Distributed Decision Trees for Robust Regression

Modeling, Regression and Optimization

Locally Linear Neuro-Fuzzy Estimate of the Prosthetic Knee Angle and its Validation in a Robotic Simulator

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Process Design and Optimization (MLS-S03): a Journey in Modeling, Optimization and Regression

Stable blow up dynamics for energy supercritical wave equations

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Convergence of Ising Interfaces to Schramm's SLE Curves

Efficient Distributed Decision Trees for Robust Regression

Structured Dimensionality Reduction for Additive Model Regression

Stable blow up dynamics for energy supercritical wave equations

Two subtle convex nonlocal approximations of the BV-norm

Locally Linear Neuro-Fuzzy Estimate of the Prosthetic Knee Angle and its Validation in a Robotic Simulator

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Modeling, Regression and Optimization

Process Design and Optimization (MLS-S03): a Journey in Modeling, Optimization and Regression

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Convergence of Ising Interfaces to Schramm's SLE Curves