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We propose and develop a new algorithm for trading wind energy in electricity markets, within an online learning and optimization framework. In particular, we combine a component-wise adaptive variant of the gradient descent algorithm with…

Machine Learning · Computer Science 2023-05-22 Miguel Angel Muñoz , Pierre Pinson , Jalal Kazempour

The dramatic increase of network infrastructure comes at the cost of rapidly increasing energy consumption, which makes optimization of energy efficiency (EE) an important topic. Since EE is often modeled as the ratio of rate to power, we…

Information Theory · Computer Science 2015-03-19 Christian Isheden , Zhijiat Chong , Eduard Jorswieck , Gerhard Fettweis

The paper presents derivation and interpretation of one type of variable order derivative definitions. For mathematical modelling of considering definition the switching and numerical scheme is given. The paper also introduces a numerical…

Dynamical Systems · Mathematics 2013-04-19 Dominik Sierociuk , Wiktor Malesza , Michal Macias

Performing sensitivity analysis for influence diagrams using the decision circuit framework is particularly convenient, since the partial derivatives with respect to every parameter are readily available [Bhattacharjya and Shachter, 2007;…

Artificial Intelligence · Computer Science 2012-03-19 Debarun Bhattacharjya , Ross D. Shachter

Many procedures for SAT and SAT-related problems -- in particular for those requiring the complete enumeration of satisfying truth assignments -- rely their efficiency on the detection of partial assignments satisfying an input formula. In…

Logic in Computer Science · Computer Science 2020-03-10 Roberto Sebastiani

Frequency response optimized integrators considering second order derivative are proposed in this paper. Based on the proposed numerical integrators, and others which also consider second order derivative, this paper puts forward a novel…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Sheng Lei , Alexander Flueck

We propose an adaptive biasing algorithm aimed at enhancing the sampling of multimodal measures by Langevin dynamics. The underlying idea consists in generalizing the standard adaptive biasing force method commonly used in conjunction with…

Analysis of PDEs · Mathematics 2010-08-23 Chris Chipot , Tony Lelièvre

This document serves as supplementary material for a journal paper submission, presenting detailed mathematical proofs and derivations that support the results outlined in the main manuscript. In this work, we formulate an Integrated…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Keivan Khosroshahi , Michael Suppa

The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

Machine Learning · Computer Science 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

Numerical Analysis · Mathematics 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

We survey a new paradigm in signal processing known as "compressive sensing". Contrary to old practices of data acquisition and reconstruction based on the Shannon-Nyquist sampling principle, the new theory shows that it is possible to…

History and Overview · Mathematics 2009-03-13 Olga Holtz

It is pointed out that the "counter example" presented in the Comment is a family of probe wave functions which are increasingly broad as the shift becomes large. Furthermore, the author's variational calculation is not correct in the sense…

Quantum Physics · Physics 2013-04-16 Yuki Susa , Yutaka Shikano , Akio Hosoya

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

Information Theory · Computer Science 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

Optimization and Control · Mathematics 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

A major goal in Algorithmic Game Theory is to justify equilibrium concepts from an algorithmic and complexity perspective. One appealing approach is to identify natural distributed algorithms that converge quickly to an equilibrium. This…

Computer Science and Game Theory · Computer Science 2018-06-14 Yun Kuen Cheung , Richard Cole , Yixin Tao

In Noor (2007)[Muhammad Aslam Noor, New iterative schemes for nonlinear equations, Appl. Math. Comput. 187 (2007) 937-943], proposed an algorithm namely \textbf{Algorithm 2.4} and established a proof to show cubic convergence. The presented…

Numerical Analysis · Mathematics 2015-03-13 Laila M Assas , Fayyaz Ahmad , Malik Zaka Ullah

This paper studies linear reconstruction of partially observed functional data which are recorded on a discrete grid. We propose a novel estimation approach based on approximate factor models with increasing rank taking into account…

Statistics Theory · Mathematics 2024-05-22 Maximilian Ofner , Siegfried Hörmann

In the design flow of integrated circuits, chip-level verification is an important step that sanity checks the performance is as expected. Power grid verification is one of the most expensive and time-consuming steps of chip-level…

Other Computer Science · Computer Science 2015-07-09 Jim Jing-Yan Wang , Lan Yang , Jingbin Wang , Lorenzo Azevedo

Ensuring the frequency stability of electric grids with increasing renewable resources is a key problem in power system operations. In recent years, a number of advanced controllers have been designed to optimize frequency control. These…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Wenqi Cui , Guanya Shi , Yuanyuan Shi , Baosen Zhang