dorsal/arxiv
View SchemaLearning with incomplete information - and the mathematical structure behind it
| Authors | Reimer Kuehn, Ion-Olimpiu Stamatescu |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608023 |
| URL | https://arxiv.org/abs/q-bio/0608023 |
Abstract
Learning and the ability to learn are important factors in development and evolutionary processes [1]. Depending on the level, the complexity of learning can strongly vary. While associative learning can explain simple learning behaviour [1,2] much more sophisticated strategies seem to be involved in complex learning tasks. This is particularly evident in machine learning theory [3] (reinforcement learning [4], statistical learning [5]), but it equally shows up in trying to model natural learning behaviour [2]. A general setting for modelling learning processes in which statistical aspects are relevant is provided by the neural network (NN) paradigm. This is in particular of interest for natural, learning by experience situations. NN learning models can incorporate elementary learning mechanisms based on neuro-physiological analogies, such as the Hebb rule, and lead to quantitative results concerning the dynamics of the learning process [6]. The Hebb rule, however, cannot be directly applied in all cases, and in particular for realistic problems, such as "delayed reinforcement" [4,6], the sophistication of the algorithms rapidly increases. We want to present here a model which can cope with such non trivial tasks, while still being elementary and based only on procedures which one may think of as natural, without any appeal to higher strategies [7]. We can show the capability of this model to provide good learning in many, very different settings [7,8,9]. It may help therefore understanding some basic features of learning.
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"abstract": "Learning and the ability to learn are important factors in development and\nevolutionary processes [1]. Depending on the level, the complexity of learning\ncan strongly vary. While associative learning can explain simple learning\nbehaviour [1,2] much more sophisticated strategies seem to be involved in\ncomplex learning tasks. This is particularly evident in machine learning theory\n[3] (reinforcement learning [4], statistical learning [5]), but it equally\nshows up in trying to model natural learning behaviour [2]. A general setting\nfor modelling learning processes in which statistical aspects are relevant is\nprovided by the neural network (NN) paradigm. This is in particular of interest\nfor natural, learning by experience situations. NN learning models can\nincorporate elementary learning mechanisms based on neuro-physiological\nanalogies, such as the Hebb rule, and lead to quantitative results concerning\nthe dynamics of the learning process [6]. The Hebb rule, however, cannot be\ndirectly applied in all cases, and in particular for realistic problems, such\nas \"delayed reinforcement\" [4,6], the sophistication of the algorithms rapidly\nincreases. We want to present here a model which can cope with such non trivial\ntasks, while still being elementary and based only on procedures which one may\nthink of as natural, without any appeal to higher strategies [7]. We can show\nthe capability of this model to provide good learning in many, very different\nsettings [7,8,9]. It may help therefore understanding some basic features of\nlearning.",
"arxiv_id": "q-bio/0608023",
"authors": [
"Reimer Kuehn",
"Ion-Olimpiu Stamatescu"
],
"categories": [
"q-bio.NC"
],
"title": "Learning with incomplete information - and the mathematical structure behind it",
"url": "https://arxiv.org/abs/q-bio/0608023"
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