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Page 3070 of Mathematical Reviews Vol. , Issue 96e [page]

1996 Mathematical Reviews  
Here, learnability of families of recursive languages is studied when the learner obeys certain natural constraints.  ...  Summary: “The present paper deals with the learnability of in- dexed families Y of uniformly recursive languages from positive data.  ... 

Page 5999 of Mathematical Reviews Vol. , Issue 94j [page]

1994 Mathematical Reviews  
Here, learnability of families of recursive languages is studied when the learner obeys certain natural constraints.  ...  Summary: “Language learnability is investigated in the Gold para- digm of inductive inference from positive data. Angluin gave a characterization of learnable families in this framework.  ... 

On the Learnability of Shuffle Ideals [chapter]

Dana Angluin, James Aspnes, Aryeh Kontorovich
2012 Lecture Notes in Computer Science  
Although PAC learning unrestricted regular languages is long known to be a very difficult problem, one might suppose the existence (and even an abundance) of natural efficiently learnable sub-families.  ...  Their approach was to embed a specific family of regular languages (the piecewise-testable ones) in a Hilbert space via a kernel and to identify languages with hyperplanes.  ...  Acknowledgments We thank Sarah Eisenstat for the construction reducing the alphabet size to 3 in the proof of Theorem 4 and the anonymous referees for their helpful comments.  ... 
doi:10.1007/978-3-642-34106-9_12 fatcat:wr55gysfkzg3redp2if5275hwe

Page 9245 of Mathematical Reviews Vol. , Issue 2001M [page]

2001 Mathematical Reviews  
Studied, then, is the synthesis from indices for r.e. classes and for indexed families of recursive languages of various kinds of noise- tolerant language-learners for the corresponding classes or families  ...  An index for an indexed family of recursive languages (by definition) gen- erates a sequence of decision procedures defining the family. F.  ... 

Hypothesis spaces for learning

Sanjay Jain
2011 Information and Computation  
In this paper we survey some results in inductive inference showing how learnability of a class of languages may depend on the hypothesis space chosen.  ...  We also discuss results which consider how learnability is effected if one requires learning using every suitable hypothesis space.  ...  Acknowledgments We thank Frank Stephan for several helpful discussions and comments on the paper. We also thank the anonymous referees for several helpful comments.  ... 
doi:10.1016/j.ic.2010.11.016 fatcat:q3ulldldwrggpnfsmi6kh6hpqy

Hypothesis Spaces for Learning [chapter]

Sanjay Jain
2009 Lecture Notes in Computer Science  
In this paper we survey some results in inductive inference showing how learnability of a class of languages may depend on the hypothesis space chosen.  ...  We also discuss results which consider how learnability is effected if one requires learning using every suitable hypothesis space.  ...  Acknowledgments We thank Frank Stephan for several helpful discussions and comments on the paper. We also thank the anonymous referees for several helpful comments.  ... 
doi:10.1007/978-3-642-00982-2_4 fatcat:bu45q5mhqjfmpc6oreei4dlyky

A non-learnable class of E-pattern languages

Daniel Reidenbach
2006 Theoretical Computer Science  
As the main result, our analysis yields a negative outcome for the full class of E-pattern languages -and even for the subclass of terminal-free E-pattern languages -if the corresponding terminal alphabet  ...  We investigate the inferrability of E-pattern languages (also known as extended or erasing pattern languages) from positive data in Gold's learning model.  ...  Angluin has introduced some criteria on indexed families that reduce learnability to a particular language theoretical aspect (cf. [2] ).  ... 
doi:10.1016/j.tcs.2005.10.017 fatcat:hwlcplsffzakzjmqnn4vmk2p3q

Prescribed learning of r.e. classes

Sanjay Jain, Frank Stephan, Nan Ye
2009 Theoretical Computer Science  
This work extends studies of Angluin, Lange and Zeugmann on the dependence of learning on the hypothesis space chosen for the language class in the case of learning uniformly recursive language classes  ...  enumerable language classes.  ...  They also thank the anonymous referees of this journal (Theoretical Computer Science) and of the conference Algorithmic Learning Theory (ALT) 2007 in Sendai for comments which helped in improving the paper  ... 
doi:10.1016/j.tcs.2009.01.011 fatcat:2hbw2g5gpvejzaxskf2b7m4etm

Page 5023 of Mathematical Reviews Vol. , Issue 96h [page]

1996 Mathematical Reviews  
” 96h:68173 68T05 68Q45 Takada, Yuji (Takada, Yuji] A hierarchy of language families learnable by regular language learning.  ...  The hierarchy is defined inductively by controlling a certain type of even linear 96h:68177 grammars with languages in one family to yield languages in the next larger family.  ... 

Prescribed Learning of R.E. Classes [chapter]

Sanjay Jain, Frank Stephan, Nan Ye
2007 Lecture Notes in Computer Science  
This work extends studies of Angluin, Lange and Zeugmann on the dependence of learning on the hypotheses space chosen for the class.  ...  space of the same class) and uniform (like prescribed, but the learner has to be synthesized effectively from an index of the hypothesis space).  ...  We also thank the anonymous referees of the conference Algorithmic Learning Theory (ALT) 2007 in Sendai for comments which helped improving the paper.  ... 
doi:10.1007/978-3-540-75225-7_9 fatcat:vhzwvfkbqnapbigiwcpxeupdqi

Language learning from stochastic input

Syam Kapur, Gianfranco Bilardi
1992 Proceedings of the fifth annual workshop on Computational learning theory - COLT '92  
Language learning from positive data in the  ...  Acknowledgements The work of S. Kapur  ...  This version yields, as a special case, Angluin's learner for the families of languages that are learnable from all texts (and not just from a set of texts of probability one).  ... 
doi:10.1145/130385.130419 dblp:conf/colt/KapurB92 fatcat:jake2vmeprh7lp7jie4zh3wnz4

The Synthesis of Language Learners

Ganesh R. Baliga, John Case, Sanjay Jain
1999 Information and Computation  
Studied is the metaproblem of synthesizing from indices for r.e. classes and for indexed families of languages various kinds of language learners for the corresponding classes or families indexed.  ...  An index for an indexed family of languages (by definition) is a procedure which generates a sequence of decision procedures defining the family.  ...  Furthermore, the proofs of the positive results provide characterizations of corresponding noise-tolerantly learnable language classes.  ... 
doi:10.1006/inco.1998.2782 fatcat:bkrvheyrybgtlpg2d5azxxoh7q

Page 1114 of Mathematical Reviews Vol. , Issue 96b [page]

1996 Mathematical Reviews  
These investigations turn out to be different from the previous investi- gations on learning indexed families of recursive languages and at times require new proof techniques.  ...  By focusing on this fundamental aspect we discover some general and simple tools for the analysis of learnability tasks.  ... 

Learning indexed families of recursive languages from positive data: A survey

Steffen Lange, Thomas Zeugmann, Sandra Zilles
2008 Theoretical Computer Science  
One line of research focuses on indexed families of recursive languages -classes of recursive languages described in a representation scheme for which the question of membership for any string in any of  ...  the given languages is effectively decidable with a uniform procedure.  ...  Many thanks are also due to Robert Holte for his comments on a draft version. Both helped to improve the paper significantly. Sandra Zilles was supported by the Alberta Ingenuity Fund.  ... 
doi:10.1016/j.tcs.2008.02.030 fatcat:jzsqdyddvrbz3bhwxeukqnrty4

Language Learning from Texts: Mindchanges, Limited Memory, and Monotonicity

E. Kinber, F. Stephan
1995 Information and Computation  
Many separation results have a v ariant: If a criterion A can be separated from B, then often it is possible to nd a family L of languages such that L is A and B learnable, but while it is possible to  ...  The paper explores language learning in the limit under various constraints on the number of mindchanges, memory, and monotonicity.  ...  On the other hand, if A does not imply B, then there is a family of languages learnable according to A with 2 mind changes which still fails to be learnable according to B.  ... 
doi:10.1006/inco.1995.1170 fatcat:4ulb63nvdve6vki3bmaaqhs4ti
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