Online learning has witnessed an increasing interest over the recent past due to its low computational requirements and relevance a broad range of streaming applications. In this brief, we focus on online regularized regression. We propose novel efficient regression algorithm, called normalized least-squares (ONLS). perform theoretical analysis by comparing total loss ONLS against gradient desc...

A cooperative game with transferable utilities -or simply a TU-gamedescribes a situation in which players can obtain certain payoffs by cooperation. A value function for these games is a function which assigns to every such a game a distribution of payoffs over the players in the game. A famous solution concept for TU-games is the Banzhaf value. This Banzhaf value is not efficient, i.e., in gen...

Thetiming jitter in relaxation oscillators is analyzed. This jitter is described by a single normalized equation whose solution allows prediction of noise in practical oscillators. The theory is confirmed by measurements on practical oscillators and is used to develop a prototype low noise oscillator with a measured jitter of 1.5 ppm rms.

We consider overdetermined boundary value problems for the ∞-Laplacian in a domain Ω of Rn and discuss what kind of implications on the geometry of Ω the existence of a solution may have. The classical ∞-Laplacian, the normalized or game-theoretic ∞-Laplacian and the limit of the p-Laplacian as p→∞ are considered and provide different answers. Mathematics Subject Classification (2000). 35R35, 4...

A theory is presented which describes the transient current response to a potential step at a wall-jet electrode, thus defining the “response time” of the electrode. Results are given in the form of a normalized transient as a function of a dimensionless time parameter which permits the analysis of experimental data for electrodes of any geometry and for any solution flow rate.

An analytical expression for the Z-scan signal from two-level atoms which show a saturable dispersive and absorptive nonlinearity is derived. An approximate solution is obtained for the normalized transmittance and compared with numerical calculations. 2004 Elsevier B.V. All rights reserved.

In this paper we revisit Hamilton’s normalized Ricci flow, which was thoroughly studied via a PDE approach in [10]. Here we provide an improved convergence result compared to the one presented [10] for the critical case λ = 8π. We actually prove that the convergence towards the stationary solution is realized through any time sequence.