New PDF release: Algorithmic Learning Theory: 24th International Conference,

New PDF release: Algorithmic Learning Theory: 24th International Conference,

By Sanjay Jain, Rémi Munos, Frank Stephan, Thomas Zeugmann

ISBN-10: 3642409342

ISBN-13: 9783642409349

ISBN-10: 3642409350

ISBN-13: 9783642409356

This publication constitutes the complaints of the twenty fourth overseas convention on Algorithmic studying idea, ALT 2013, held in Singapore in October 2013, and co-located with the sixteenth overseas convention on Discovery technology, DS 2013. The 23 papers offered during this quantity have been rigorously reviewed and chosen from 39 submissions. moreover the booklet includes three complete papers of invited talks. The papers are equipped in topical sections named: on-line studying, inductive inference and grammatical inference, educating and studying from queries, bandit thought, statistical studying conception, Bayesian/stochastic studying, and unsupervised/semi-supervised learning.

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Read Online or Download Algorithmic Learning Theory: 24th International Conference, ALT 2013, Singapore, October 6-9, 2013. Proceedings PDF

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Extra resources for Algorithmic Learning Theory: 24th International Conference, ALT 2013, Singapore, October 6-9, 2013. Proceedings

Sample text

Boolean Multivariate Polynomial (BMP). A BMP is the same as MP over F = F2 where also monomials of the form (x1 + ξ1 )i1 · · · (xn + ξn )in , ξ ∈ F2n are allowed. Those monomials are called terms. 4. Disjunction Normal Form (DNF). A DNF is a function f : F2n → F2 of the form f= xi11 · · · xinn i∈I⊆{−1,0,1}n where x1 := x, x−1 := x ¯ = 1 + x (“+” in F2 ) and x0 := 1. The function i1 in x1 · · · xn is called a term and its size is j |ij |. The size of f is |f | := |I|. The DNF f is said to be s-term DNF if |I| ≤ s, t-DNF if all its terms are of size at most t and monotone DNF (MDNF) if i ∈ {0, 1}n for all i ∈ I.

The number of queries and the complexities are expressed as functions of n, s and some other parameters that depend on the teacher algorithm ANSWER. This problem has different names in different areas: Interpolation [43], Exactly Learning [2], Inferring [62], Identifying [58], Active Learning [84] and Guessing Game [99] from Substitution or Membership Queries [2]. The latter problems are also called Testing, Functional Verification, Hitting Set and when f is polynomial, it is called Black Box polynomial identity testing (PIT) [83, 89].

The degree of a circuit is equal to the degree of the polynomial output by the circuit. 2. Multivariate Polynomial (MP). A multivariate polynomial is a function f : F n → F of the form ai xi11 · · · xinn f= i∈I⊆N n where N = {0, 1, 2, · · · } and ai ∈ F . The size of f is |f | := |I|. The term xi11 · · · xinn is called monomial. The monomial is called t-monomial if |{j | ij = 0}| ≤ t. The multivariate polynomial is said to be of degree d if i1 +· · ·+in ≤ d for all i ∈ I, s-sparse if |I| ≤ s and with t-monomials if all its monomials are t-monomials.

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Algorithmic Learning Theory: 24th International Conference, ALT 2013, Singapore, October 6-9, 2013. Proceedings by Sanjay Jain, Rémi Munos, Frank Stephan, Thomas Zeugmann


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