Publications related to Convex analysis

On the influence of momentum acceleration on online learning

The article examines in some detail the convergence rate and mean-square-error performance of momentum stochastic gradient methods in the constant step-size and slow adaptation regime. The results establish that momentum methods are equivalent to the stand ...

2016

Fixed-structure Control of LTI Systems with Polytopic-type Uncertainty

Mahdieh Sadat Sad Abadi

This thesis focuses on the development of robust control solutions for linear time-invariant interconnected systems affected by polytopic-type uncertainty. The main issues involved in the control of such systems, e.g. sensor and actuator placement, control ...

EPFL2016

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

Colin Neil Jones, Ivan Pejcic

Alternating direction method of multipliers (ADMM) is a form of augmented Lagrangian optimisation algorithm that found its place in many new applications in recent years. This paper explores a possibility for an upgrade of the ADMM by extrapolation-based a ...

Ieee2016

Robust Smith Predictor Design for Time-Delay Systems with H∞ Performance

Alireza Karimi, Achille Nicoletti, Vinicius De Oliveira

A new method for robust fixed-order H∞ controller design for uncertain time-delay systems is presented. It is shown that the H∞ robust performance condition can be represented by a set of convex constraints with respect to the parameters of a linearly para ...

Springer2015

A Data-Driven Approach in Designing RST Controllers with H∞ Performance via Convex Optimization

Alireza Karimi, Achille Nicoletti, Zlatko Emedi

In this paper, a new method for designing robust fixed-order

\mathcal{H}_{\infty}

discrete-time controllers is presented. The controller structure is a two-degree of freedom polynomial controller of the

RST

type. A data-driven approach is implemented f ...

IEEE2015

Why CLEAN when you can PURIFY? A new approach for next-generation radio-interferometric imaging

Yves Wiaux, Rafael Eduardo Carrillo Rangel, Jason Douglas McEwen

In recent works, sparse models and convex optimization techniques have been applied to radio-interferometric (RI) imaging showing the potential to outperform state-of-the-art imaging algorithms in the field. In this talk, I will review our latest contribut ...

2015

Design of a Switching Controller for Adaptive Disturbance Attenuation with Guaranteed Stability

Alireza Karimi

In this paper, a new algorithm is proposed for the design of a family of controllers to be used within an adaptive switching control scheme. The resulting switching controller is able to attenuate the effects of disturbances having uncertain and possibly t ...

2015

Structure Tensor Total Variation

Michaël Unser, Stamatios Lefkimmiatis

We introduce a novel generic energy functional that we employ to solve inverse imaging problems within a variational framework. The proposed regularization family, termed as structure tensor total variation (STV), penalizes the eigenvalues of the structure ...

SIAM2015

Accelerated Microstructure Imaging via Convex Optimization (AMICO) in crossing fibers

Jean-Philippe Thiran, Yves Wiaux, Erick Jorge Canales Rodriguez, Alessandro Daducci, Anna Auria Rasclosa, Tim Bjørn Dyrby

Mapping the local microstructure properties of the tissue in the brain is crucial to understand any pathological condition from a biological perspective. In recent years, microstructure-imaging techniques aimed at extracting such precious information by us ...

2015

Composite convex minimization involving self-concordant-like cost functions

Volkan Cevher, Quoc Tran Dinh, Yen-Huan Li

The self-concordant-like property of a smooth convex func- tion is a new analytical structure that generalizes the self-concordant notion. While a wide variety of important applications feature the self- concordant-like property, this concept has heretofor ...

2015

Convex analysis

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On the influence of momentum acceleration on online learning

Fixed-structure Control of LTI Systems with Polytopic-type Uncertainty

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

Robust Smith Predictor Design for Time-Delay Systems with H∞ Performance

A Data-Driven Approach in Designing RST Controllers with H∞ Performance via Convex Optimization

Why CLEAN when you can PURIFY? A new approach for next-generation radio-interferometric imaging

Design of a Switching Controller for Adaptive Disturbance Attenuation with Guaranteed Stability

Structure Tensor Total Variation

Accelerated Microstructure Imaging via Convex Optimization (AMICO) in crossing fibers

Composite convex minimization involving self-concordant-like cost functions

Fixed-structure Control of LTI Systems with Polytopic-type Uncertainty

Design of a Switching Controller for Adaptive Disturbance Attenuation with Guaranteed Stability

Composite convex minimization involving self-concordant-like cost functions

Structure Tensor Total Variation

On the influence of momentum acceleration on online learning

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

Robust Smith Predictor Design for Time-Delay Systems with H∞ Performance

A Data-Driven Approach in Designing RST Controllers with H∞ Performance via Convex Optimization

Why CLEAN when you can PURIFY? A new approach for next-generation radio-interferometric imaging

Accelerated Microstructure Imaging via Convex Optimization (AMICO) in crossing fibers