A Variational Formulation for the Multilayer Perceptron

López, Ronald Campos; Oñate, Eugenio

doi:10.1007/11840817_17

Cited by 13 publications

(23 citation statements)

References 4 publications

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“…Machine learning techniques are available from the computational intelligence community Figure 4. From the available list of algorithms in machine learning, we have selected Naive Bayes [32], multilayer percepton [33], support vector machine [34], decision tree (C4.5) [35] and Partial Tree (PART) [36] for classifying our data. Naïve Bayes is a probability-based technique, multilayer perceptron and support vector machine are function estimation based techniques, and decision tree and PART are rule-based machine learning techniques.…”

Section: A Denial-of-service Attack Classificationmentioning

confidence: 99%

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Application of Intelligent Data Mining Approach in Securing the Cloud Computing

Said¹,

Emary²,

Alyoubi³

et al. 2016

ijacsa

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Abstract-Cloud computing is a modern term refers to a model for emerging computing, where it is possible to use machines in large data centers for delivering services in a scalable manner, so corporations has become in need for large scale inexpensive computing. Recently, several governments have begun to utilize cloud computing architectures, applications and platforms for meeting the needs of their constituents and delivering services. Security occupies the first rank of obstacles that face cloud computing for governmental agencies and businesses. Cloud computing is surrounded by many risks that may have major effects on services and information supported via this technology. Also, Cloud Computing is one of the promising technology in which the scientific community has recently encountered. Cloud computing is related to other research areas such as distributed and grid computing, ServiceOriented Architecture, and virtualization, as cloud computing inherited their limitations and advancements. It is possible to exploit new opportunities for security. This paper aim is to discuss and analyze how achieve mitigation for cloud computing security risks as a basic step towards obtaining secure and safe environment for cloud computing. The results showed that, Using a simple decision tree model Chaid algorithm security rating for classifying approach is a robust technique that enables the decision-maker to measure the extent of cloud securing, and the provided services. It was proved throughout this paper that policies, standards, and controls are critical in management process to safeguard and protect the systems as well as data. The management process should analyze and understand cloud computing risks for protecting systems and data from security exploits

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Section: A Denial-of-service Attack Classificationmentioning

confidence: 99%

“…The prediction generation can be obtained through information flows from the input layer through the processing layer(s) to the output layer. Adjusting the weights of connection during training leads to cope predictions to target values for specific records, the network "learns" to generate better and better predictions [33].…”

Section: )mentioning

confidence: 99%

Application of Intelligent Data Mining Approach in Securing the Cloud Computing

Said¹,

Emary²,

Alyoubi³

et al. 2016

ijacsa

View full text Add to dashboard Cite

show abstract

“…As in the case of a single perceptron, an MLP spans a parameterized function space V from an input X ⊂ R n to an output Y ⊂ R m [22]. Elements of V are parameterized by all the biases and synaptic weights in the NN, which can be grouped together in an s-dimensional vector = ( 1 , .…”

Section: The Feed-forward Network Architecturementioning

confidence: 99%

“…Mathematically, a perceptron neuron model spans a parameterized function space V from an input X ⊂ R n to an output Y ⊂ R [22]. Elements of V are parameterized by the bias and the synaptic weights of the neuron (b, w).…”

Section: The Perceptron Neuron Modelmentioning

confidence: 99%

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Neural networks for variational problems in engineering

López

Balsa‐Canto

Oñate

2008

Numerical Meth Engineering

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SUMMARYIn this work a conceptual theory of neural networks (NNs) from the perspective of functional analysis and variational calculus is presented. Within this formulation, the learning problem for the multilayer perceptron lies in terms of finding a function, which is an extremal for some functional. Therefore, a variational formulation for NNs provides a direct method for the solution of variational problems.This proposed method is then applied to distinct types of engineering problems. In particular a shape design, an optimal control and an inverse problem are considered. The selected examples can be solved analytically, which enables a fair comparison with the NN results.

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Robust model predictive control of uncertain nonlinear time‐delay systems via control contraction metric technique

Duan

Wei

Xie

2021

Intl J Robust & Nonlinear

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This article is concerned with the problem of robust model predictive control (MPC) for uncertain nonlinear time‐delay systems. In order to reduce the computational conservativeness of the existing robust MPC given in the min–max optimization formulation, a novel tube‐based MPC method is investigated via exploring MPC and control contraction metric (CCM) technique. Based on the Kyapunov–Krasovskii arguments, the MPC is designed as a nominal controller to generate a reference trajectory. By constructing a functional formulation of the inner product on tangent space, the CCM technique is applied to develop a local ancillary controller to guarantee the actual trajectory being contained within a robust invariant tube. In addition, to alleviate the burden of computing geodesic in the design of CCM technique, we propose a direct method using the neural network to search for the minimal geodesic online. By employing the sequential quadratic programming algorithm, this method improves the efficiency of online calculation with high accuracy. Finally, numerical simulation is employed to validate the effectiveness of the proposed method.

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A Variational Formulation for the Multilayer Perceptron

Cited by 13 publications

References 4 publications

Application of Intelligent Data Mining Approach in Securing the Cloud Computing

Application of Intelligent Data Mining Approach in Securing the Cloud Computing

Neural networks for variational problems in engineering

Robust model predictive control of uncertain nonlinear time‐delay systems via control contraction metric technique

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