Abstract：
:Continuing the discussion of how children can modify and regularize linguistic inputs from adults, we present a new interpretation of existing algorithms to model and investigate the process of a learner learning from an inconsistent source. On the basis of this approach is a (possibly nonlinear) function (the update function) that relates the current state of the learner with an increment that it receives upon processing the source's input, in a sequence of updates. The model can be considered a nonlinear generalization of the classic Bush-Mosteller algorithm. Our model allows us to analyze and present a theoretical explanation of a frequency boosting property, whereby the learner surpasses the fluency of the source by increasing the frequency of the most common input. We derive analytical expressions for the frequency of the learner, and also identify a class of update functions that exhibit frequency boosting. Applications to the Feature-Label-Order effect in learning are presented.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Ma T,Komarova NLdoi
10.1007/s11538-017-0250-0subject
Has Abstractpub_date
2017-03-01 00:00:00pages
635-661issue
3eissn
0092-8240issn
1522-9602pii
10.1007/s11538-017-0250-0journal_volume
79pub_type
杂志文章abstract：:Moment closure methods are widely used to analyze mathematical models. They are specifically geared toward derivation of approximations of moments of stochastic models, and of similar quantities in other models. The methods possess several weaknesses: Conditions for validity of the approximations are not known, magnit...
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abstract：:A significant conceptual difficulty in the use of switching systems to model regulatory networks is the presence of so-called "black walls," co-dimension 1 regions of phase space with a vector field pointing inward on both sides of the hyperplane. Black walls result from the existence of direct negative self-regulatio...
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abstract：:Cancer is a complex phenomenon, and the sheer variation in behaviour across different types renders it difficult to ascertain underlying biological mechanisms. Experimental approaches frequently yield conflicting results for myriad reasons, and mathematical modelling of cancer is a vital tool to explore what we cannot...
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abstract：:Most of present mathematical models for biological activity consider just the molecular structure. In the present article we pretend extending the use of Markov chain models to define novel molecular descriptors, which consider in addition other parameters like target site or biological effect. Specifically, this math...
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doi：10.1016/j.bulm.2004.03.007
更新日期：2004-11-01 00:00:00
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journal_title：Bulletin of mathematical biology
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abstract：:Previous models of the renal concentrating mechanism employ ideal approximations of solution thermodynamics for membrane transport calculation. In three-dimensional models of the renal medulla, predicted urine concentrations reach levels where these idealized approximations begin to break down. In this paper we derive...
journal_title：Bulletin of mathematical biology
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journal_title：Bulletin of mathematical biology
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doi：10.1007/BF02459658
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abstract：:This study investigates fluid flow and elastic deformation in tissues that are drained by the primary lymphatic system. A model is formulated based on the Rossi hypothesis that states that the primary lymphatic valves, which are formed by overlapping endothelial cells around the circumferential lining of lymphatic cap...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-015-0078-4
更新日期：2015-06-01 00:00:00
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journal_title：Bulletin of mathematical biology
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journal_title：Bulletin of mathematical biology
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doi：10.1007/s11538-018-0514-3
更新日期：2018-12-01 00:00:00
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journal_title：Bulletin of mathematical biology
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