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A Stochastic Dynamic Local Search Method for Learning Multiple-Valued Logic Networks

2007
*
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
*

In this paper, we propose

doi:10.1093/ietfec/e90-a.5.1085
fatcat:mvpzslro4vhobcg2d2tv3uxlme
*a*stochastic dynamic local search (SDLS) method for*Multiple*-*Valued**Logic*(MVL)*learning*by introducing stochastic dynamics into the traditional local search method. ... The proposed*learning**network*maintains some trends of quick descent to either global minimum or*a*local minimum,*and*at the same time has some chance of escaping from local minima by permitting temporary ... In future we plan to investigate the characteristics of*a*hybrid system of combining Local Search*algorithm**and*Chaos*and*its*application*to*learning**Multiple*-*Valued**Logic**Networks*. ...##
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Learning hardware using multiple-valued logic - Part 2: Cube calculus and architecture

2002
*
IEEE Micro
*

This article proposes using symbolic

doi:10.1109/mm.2002.1013304
fatcat:zpohw3uu3vfflaa6kzmgc6bt2i
*learning*methods based on*multiple*-*valued*(MV)*logic**and*implemented in reconfigurable hardware. ... For example, • for binary*logic*, X 1 = X,*and*X 0 = X ′ are two literals;*and*• for four-*valued**logic*V i = {0, 1, 2, 3}:*A*cube on X 1 , X 2 , ... , X n is an ordered set of literals on X 1 , X 2 , .. ... This article proposes using symbolic*learning*methods based on*multiple*-*valued*(MV)*logic**and*implemented in reconfigurable hardware. ...##
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Processing Markov Logic Networks with GPUs: Accelerating Network Grounding
[chapter]

2016
*
Lecture Notes in Computer Science
*

Markov

doi:10.1007/978-3-319-40566-7_9
fatcat:37uwnijeavdgjifn7gs7ccf5gq
*Logic*is an expressive*and*widely used knowledge representation formalism that combines*logic**and*probabilities, providing*a*powerful framework for inference*and**learning*tasks. ... Most Markov*Logic*implementations perform inference by transforming the*logic*representation into*a*set of weighted propositional formulae that encode*a*Markov*network*, the ground Markov*network*. ... -01-0145-FEDER-006961>>,*and*by National Funds through the FCT -Fundação para*a*Ciência e*a*Tecnologia (Portuguese Foundation for Science*and*Technology) as part of project UID/EEA/50014/2013. ...##
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Logic Learning in Adaline Neural Network

2021
*
Pertanika journal of science & technology
*

This research incorporates

doi:10.47836/pjst.29.1.16
fatcat:yoldhbj7xze5xc6aimydl6jklu
*logic*programming that consists of various prominent*logical*representation. These*logical*rules will be*a*symbolic rule that defines the*learning*mechanism of ADNN. ... In this paper, Adaline Neural*Network*(ADNN) has been explored to simulate the actual signal processing between input*and*output. ... ADNN is*a*single layer*network*with*multiple*nodes where each node receives*multiple*inputs*and*produces one output. ...##
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Ternary Logic Network Justification Using Transfer Matrices

2013
*
2013 IEEE 43rd International Symposium on Multiple-Valued Logic
*

*A*linear

*algebraic*method is developed that allows for

*logic*

*network*justification problems to be solved. ... The

*logic*

*network*is represented by

*a*matrix that is defined as the "justification" matrix. ...

*Logic*

*network*justification is useful in

*multiple*design

*and*analysis

*applications*, including synthesis, verification,

*and*test. ...

##
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Modelling techniques for biomolecular networks
[article]

2020
*
arXiv
*
pre-print

We also give

arXiv:2003.00327v1
fatcat:ldcslhpgdrhfpavwypbx2c6qxu
*a*short overview about the mathematical frameworks for modelling of*logical**networks**and*list available software packages for*logical*modelling. ... In the end we give*a*short review about the difference between quantitative*and*qualitative models*and*describe the mathematics that specifically deals with qualitative modelling. ... Uses enhanced fast methods from computer*algebra**and*computational*algebraic*geometry (rooting in Buchberger*algorithm*) to calculate the Gröbner bases of ideals in such rings [18]*and*an ideal is*a*set ...##
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Learning Algorithms via Neural Logic Networks
[article]

2019
*
arXiv
*
pre-print

We propose

arXiv:1904.01554v1
fatcat:bkzn2i3uybelvpd4nvxkrwvyoi
*a*novel*learning*paradigm for Deep Neural*Networks*(DNN) by using Boolean*logic**algebra*. ... We demonstrate that, in contrast to the implicit*learning*in MLP approach, the proposed neural*logic**networks*can*learn*the*logical*functions explicitly that can be verified*and*interpreted by human. ... allows us to manipulate the*logical*expressions via*Algebra*. ...##
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Vector space weightless neural networks

2014
*
The European Symposium on Artificial Neural Networks
*

By embedding the boolean space Z2 as an orthonormal basis in

dblp:conf/esann/OliveiraSL14
fatcat:eh2l6b76wzbtrlvkm3i7vu4sre
*a*vector space we can treat the RAM based neuron as*a*matrix (operator) acting on the vector space. ... weighted*and*quantum weightless neural models as particular cases. ... It is about underlying ideas*and*concepts. No*applications**and*no*learning**algorithm*are envisaged at the present work. These practical issues will be dealt with in*a*follow up to this paper. ...##
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STRIP - a strip-based neural-network growth algorithm for learning multiple-valued functions

2001
*
IEEE Transactions on Neural Networks
*

Preliminary experimental results are presented

doi:10.1109/72.914519
pmid:18244379
fatcat:ohwx3vafybeaphciww5ewsm7my
*and*discussed. Index Terms-Constructive*algorithm*, genetic*algorithm*,*multiple*-threshold perceptron,*multiple*-*valued**logic*, neural*network*, partitioning. ... We consider the problem of synthesizing*multiple*-*valued**logic*functions by neural*networks*.*A*genetic*algorithm*(GA) which finds the longest strip in is described. ... ACKNOWLEDGMENT The authors would like to thank the referees for their important*and*interesting suggestions. ...##
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Mathematical Modeling for Network Selection in Heterogeneous Wireless Networks — A Tutorial

2013
*
IEEE Communications Surveys and Tutorials
*

Index Terms-

doi:10.1109/surv.2012.010912.00044
fatcat:tlpdpnlzjbbefon4mbrhfznvwu
*Network*selection, heterogeneous wireless*networks*(HWNs), utility theory,*multiple*attribute decision making (MADM), fuzzy*logic*, game theory, combinatorial optimization, Markov chain. ... With*a*carefully designed unified scenario, we compare the schemes of various mathematical theories*and*discuss the ways to benefit from combining*multiple*of them together. ... with MADM*algorithms*, while some use the fuzzy*logic*with recursion (neural*network*, kernel*learning*, etc.). ...##
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Comparing Logic Programming in Radial Basis Function Neural Network (RBFNN) and Hopfield Neural Network

2014
*
International journal of computational and electronics aspects in engineering
*

Neural

doi:10.26706/ijceae.1.1.20141204
fatcat:lqvbyk45u5g47ki4qqkgpwdch4
*network*is*a*black box that clearly*learns*the internal relations of unknown systems. Neural-symbolic systems are based on both*logic*programming*and*artificial neural*networks*. ... This study gives an overview of how*logic*programming is been carried out on both*networks*as well as the comparison of doing*logic*programming on both radial basis neural*network**and*Hopfield neural*network*... Every*learning**algorithm*of perceptron's for Hopfield*network*can be turned into*a**learning*method. ...##
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A Unified Programmable Edge Matrix Processor for Deep Neural Networks and Matrix Algebra

2022
*
ACM Transactions on Embedded Computing Systems
*

Matrix

doi:10.1145/3524453
fatcat:miqhwzep3fey5admehib4md5ly
*Algebra**and*Deep Neural*Networks*represent foundational classes of computational*algorithms*across*multiple*emerging*applications*like Augmented Reality(AR) or Virtual Reality(VR), autonomous navigation ... We submit MxCore as the generalized approach to facilitate the flexible acceleration of*multiple*Matrix*Algebra**and*Deep-*learning**applications*across*a*range of sparsity levels. ... INTRODUCTION Emerging computer*applications*of Artiicial Intelligence [63, 70] based on Deep*learning*[49]*and*other Machine*learning*[45] based approaches use computationally intensive tensor*algebra*...##
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On Properties of Networks of Neuron-Like Elements

1987
*
Neural Information Processing Systems
*

The dual problem of determining the computational capacity of

dblp:conf/nips/BaldiV87
fatcat:ucj2sk3625dalnjkg7ghpuflhq
*a*class of multi-layered*networks*with dynamics regulated by an*algebraic*Hamiltonian is considered. ... Some conclusions are also drawn about*learning*complexity,*and*some open problems raised. ... Theorem 1 The maximal (*algorithm*independent) storage capacity of*a*homogeneous*algebraic*threshold*network*of degree d is less than or equal to 2 ( ~ ). ...##
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Understanding Neural Networks for Machine Learning using Microsoft Neural Network Algorithm

2016
*
International Journal of Computer Applications
*

The Microsoft Neural System

doi:10.5120/ijca2016911481
fatcat:3okv4qgwlbg5njih5fkd7e5q2i
*Algorithm*is*a*simple implementation of the adaptable*and*popular neural*networks*that are used in the machine*learning*. ...*A*Neural*Network*refers to*a*simple computing system that consists of some highly fixed*and*interconnected processing elements. All the neural*networks*appear as*a*set of layers. ... Neural*networks*have*a**learning*rate that can be approximated as n=0.1*and**a*regulation parameter of about x=0.5. ...##
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Array Languages Make Neural Networks Fast
[article]

2019
*
arXiv
*
pre-print

Modern machine

arXiv:1912.05234v1
fatcat:mb7pjcrg2jbxxiduto4jrv2nca
*learning*frameworks are complex: they are typically organised in*multiple*layers each of which is written in*a*different language*and*they depend on*a*number of external libraries, but at ... We do this by implementing*a*state of the art Convolutional Neural*Network*(CNN)*and*compare it against implementations in TensorFlow*and*PyTorch --- two state of the art industrial-strength frameworks ... As*a*result modern*networks*require advanced*and*powerful hardware -modern machine*learning**applications*are envisioned to run on massively parallel high-throughput systems that may be equipped with GPUs ...
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