The Nelder-Mead Simplex Procedure for Function Minimization

Olsson, Donald M.; Nelson, Lloyd S.

doi:10.1080/00401706.1975.10489269

Cited by 335 publications

(122 citation statements)

References 17 publications

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“…We found that the Nelder-Mead simplex method has been quite effective to solve this minimization problem [7]. It is straightforward to calculate i P and ( ) U n once each i λ is obtained.…”

Section: Performance Evaluationmentioning

confidence: 99%

Analyzing the Performance of Multi-hop Underwater Acoustic Sensor Networks

Gibson

Xie

Xiao

et al. 2007

OCEANS 2007 - Europe

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Abstract-Multi-hop underwater acoustic sensor networks constrain the performance of medium access control protocols. The efficiency of the well-known RTS-CTS scheme is degraded due to long propagation delays of such networks. Recently, interest in Aloha variants has surfaced; however, the performance of such protocols within the context of multi-hop networks is not well studied. In this paper, we identify the challenges of modeling contention-based medium access control protocols and present a model for analyzing Aloha variants for a simple string topology as a first step toward analyzing the performance of contention-based proposals in multi-hop underwater acoustic sensor networks.An application of the model suggests that Aloha variants are vary sensitive to traffic loads and network size.

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Section: Performance Evaluationmentioning

confidence: 99%

Analyzing the Performance of Multi-hop Underwater Acoustic Sensor Networks

Gibson

Xie

Xiao

et al. 2007

OCEANS 2007 - Europe

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“…The calculation of the dipole topographies was based on the three-layer spherical volume conduction model of the head [2]. Either each point of the three-dimensional coordinate grid was scanned, or a procedure of non-gradient optimization (e.g., Nelder-Mead Simplex [19]) was used to find the coordinates of the dipole minimizing the residual error.…”

Section: Methodsmentioning

confidence: 99%

Brain-Controlled Biometric Signals Employed to Operate External Technical Devices

Mironov

Lobov

Kastalskiy

et al. 2017

Proceedings of the Scientific-Practical Conference "Research and Development - 2016"

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We present a solution to employ brain-controlled biometric signals to operate external technical devices. Such signals include multiple electrode electroencephalographic (EEG) signals, electromyography (EMG) signals reflecting muscle contraction pattern, geometrical pattern of body limb kinematics, and other modalities. Being collected, properly decoded and interpreted, the signals can be used as a control or navigation signals of artificial machines, e.g., technical devices. Our interface solution based on a combination of signals of different modalities is capable to provide composite command and proportional multisite control of different technical devices with theoretically unlimited computational power. The feedback to the operator by visual channel or in virtual reality permits to compensate control errors and provides adaptive control. The control system can be implemented with wearable electronics. Examples of technical devices under the control are presented.

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“…Similarly, Yan at al [1] use cosine similarity over the topic distributions and empirically set thresholds to detect links between communities. RCMB however brings this idea further by taking into account also the migrations of authors from one community to another and finding automatically the relevant thresholds by minimizing an evaluation function with the Nelder-Mead algorithm [18]. In addition, RCMB relies on the chi-square test and a sliding window algorithm to detect significant changes in the topic distribution of a community.…”

Section: State Of the Artmentioning

confidence: 99%

“…We determine those values by using the NelderMead algorithm [18], which is a derivative-free optimization method. The NelderMead algorithm is used to solve parameter estimation problems where the function values are uncertain or subject to noise.…”

Section: As In [1] the Cs(cd) Measure Is Used To Detect Two Differementioning

confidence: 99%

A Hybrid Semantic Approach to Building Dynamic Maps of Research Communities

Osborne

Scavo

Motta

2014

Lecture Notes in Computer Science

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Abstract. In earlier papers we characterised the notion of diachronic topicbased communities -i.e., communities of people who work on semantically related topics at the same time. These communities are important to enable topic-centred analyses of the dynamics of the research world. In this paper we present an innovative algorithm, called Research Communities Map Builder (RCMB), which is able to automatically link diachronic topic-based communities over subsequent time intervals to identify significant events. These include topic shifts within a research community; the appearance and fading of a community; communities splitting, merging, spawning other communities; etc. The output of our algorithm is a map of research communities, annotated with the detected events, which provides a concise visual representation of the dynamics of a research area. In contrast with existing approaches, RCMB enables a much more fine-grained understanding of the evolution of research communities, with respect to both the granularity of the events and the granularity of the topics. This improved understanding can, for example, inform the research strategies of funders and researchers alike. We illustrate our approach with two case studies, highlighting the main communities and events that characterized the World Wide Web and Semantic Web areas in the 2000 -2010 decade.

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The Nelder-Mead Simplex Procedure for Function Minimization

Cited by 335 publications

References 17 publications

Analyzing the Performance of Multi-hop Underwater Acoustic Sensor Networks

Analyzing the Performance of Multi-hop Underwater Acoustic Sensor Networks

Brain-Controlled Biometric Signals Employed to Operate External Technical Devices

A Hybrid Semantic Approach to Building Dynamic Maps of Research Communities

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