Publications related to Analytic function

Specification of aspherical surfaces used as refractive elements in micro-optical systems

Toralf Scharf, Wilfried Noell, Jeremy Béguelin

The optical performance of refractive plano-convex microlenses is mainly related to the quality of their (a)spherical surface. An efficient tolerancing of this surface is a key step towards the manufacturing of high quality microlenses. However, we demonst ...

SPIE-INT SOC OPTICAL ENGINEERING2019

Escaping from saddle points on Riemannian manifolds

Nicolas Henri Bernard Flammarion, Yue Sun

We consider minimizing a nonconvex, smooth function f on a Riemannian manifold M. We show that a perturbed version of Riemannian gradient descent algorithm converges to a second-order stationary point (and hence is able to escape saddle points on the manif ...

2019

Exact Diffusion for Distributed Optimization and Learning-Part II: Convergence Analysis

Ali H. Sayed, Bicheng Ying, Kun Yuan

Part I of this paper developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to the larger set of locally balanced left-sto ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Daniel Kressner, Stefano Massei, Alice Cortinovis

The problem of finding a

k\times k

submatrix of maximum volume of a matrix A is of interest in a variety of applications. For example, it yields a quasi-best low-rank approximation constructed from the rows and columns of A. We show that such a submatrix ...

MATHICSE2019

System Architectures for Multiports, Bidirectional and Buffered Charging Units for EV’s

Alfred Rufer

Bidirectional buffered units for Multiports charging of EV’s are presented, allowing to charge with high power even if the line current capability is limited. The systems are also dedicated to operate as reactive power compensators, or to provide grid syst ...

2018

Perivascular macrophages in health and disease

Michele De Palma

Macrophages are a heterogeneous group of cells that are capable of carrying out distinct functions in different tissues, as well as in different locations within a given tissue. Some of these tissue macrophages lie on, or close to, the outer (abluminal) su ...

Nature Publishing Group2018

A Bidirectional Buffered Charging Unit for EV’s (BBCU)

Alfred Rufer

A bidirectional buffered charging unit for EV’s is presented, allowing the charge with high power even if the line current capability is limited. The bidirectional buffer is connected to the AC line and is mainly dedicated to vehicles with on-board AC-DC c ...

2018

A Bidirectional Buffered Charging Unit for EV's (BBCU)

Alfred Rufer, Gabriel Fernandez

A bidirectional buffered charging unit for EV's is presented, allowing the charge with high power even if the line current capability is limited. The bidirectional buffer is connected to the AC line and is mainly dedicated to vehicles with on-board AC-DC c ...

IEEE2018

Optimal Number of Paths with Multipath Routing in Hybrid Networks

Patrick Thiran, Sébastien Christophe Henri

In recent years, multipath routing, i.e., employing several paths simultaneously, has emerged as an efficient way to provide significant throughput gains in local networks. This has been observed both with technologies that are not subject to interference, ...

2018

Optimal Number of Paths with Multipath Routing in Hybrid Networks

Patrick Thiran, Sébastien Christophe Henri

In recent years, multipath routing, i.e., employing several paths simultaneously, has emerged as an efficient way to provide significant throughput gains in local networks. This has been observed both with technologies that are not subject to interference, ...

IEEE2018

Analytic function

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Specification of aspherical surfaces used as refractive elements in micro-optical systems

Escaping from saddle points on Riemannian manifolds

Exact Diffusion for Distributed Optimization and Learning-Part II: Convergence Analysis

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

System Architectures for Multiports, Bidirectional and Buffered Charging Units for EV’s

Perivascular macrophages in health and disease

A Bidirectional Buffered Charging Unit for EV’s (BBCU)

A Bidirectional Buffered Charging Unit for EV's (BBCU)

Optimal Number of Paths with Multipath Routing in Hybrid Networks

Optimal Number of Paths with Multipath Routing in Hybrid Networks

Specification of aspherical surfaces used as refractive elements in micro-optical systems

A Bidirectional Buffered Charging Unit for EV’s (BBCU)

Exact Diffusion for Distributed Optimization and Learning-Part II: Convergence Analysis

Escaping from saddle points on Riemannian manifolds

System Architectures for Multiports, Bidirectional and Buffered Charging Units for EV’s

Optimal Number of Paths with Multipath Routing in Hybrid Networks

Perivascular macrophages in health and disease

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Optimal Number of Paths with Multipath Routing in Hybrid Networks

A Bidirectional Buffered Charging Unit for EV's (BBCU)