Download Property Testing: a Learning Theory Perspective (Foundations by Dana Ron PDF

By Dana Ron

Show description

Read Online or Download Property Testing: a Learning Theory Perspective (Foundations and Trends in Machine Learning) PDF

Similar technique books

Polymers for Tissue Engineering

Tissue engineering flourishes on collaboration throughout conventional disciplines, combining polymer technology and drug supply with telephone biology, immunology and surgical procedure. A wealth of information has been won from either the fabrics technological know-how and the mobile and molecular biology groups within the improvement of latest or changed bio-materials for implantation.

Software Engineering for Multi-Agent Systems II: Research Issues and Practical Applications

Advances in networking expertise have revitalized the research of agent technologyasapromisingparadigmforengineeringcomplexdistributedsoftware structures. Agent expertise has been utilized to a variety of software - mains, together with e-commerce, human-computer interfaces, telecommunications, and software program assistants.

Flakpanzer IV Wirbelwind (Sd.Kfz. 161.4) & Ostwind

In army know-how, as in nature, for each motion, i. e. a brand new improvement, there follows a response, a counter-measure opposed to the recent expertise. precisely this occurred within the German military referring to anti plane defence. starting with the German French conflict of 1870/71. the armies used balloons as artillery reconnaissance to find objectives for shelling the adversarial entrance zone.

The Wizard and the War Machine (The second book in the War Surplus series)

On the finish of The Cyborg and the Sorcerers, Sam Turner used to be creating a lifestyles for himself on the earth Dest. He suggestion he had left the long-lost interstellar struggle among Earth and its rebellious colonies at the back of him without end. "Forever" grew to become out to be 11 years. That was once how lengthy it took for an additional self reliant Reconnaissance Unit to answer the misery name his send had despatched prior to it was once destroyed.

Additional info for Property Testing: a Learning Theory Perspective (Foundations and Trends in Machine Learning)

Sample text

A function f : {0, 1}n → {0, 1} is a k-junta for an integer k ≤ n if f is a function of at most k variables. Namely, there exists a set J ⊆ [n], where |J| ≤ k such that f (x) = f (y) for every x, y ∈ {0, 1}n that satisfy xi = yi for each i ∈ J. We say in such a case that J dominates the function f . The main result of [71] is stated next. 6. For every fixed k, the property of being a k-junta is testable using poly(k)/ queries. Fischer et al. 6 by describing and analyzing several algorithms. 2 Juntas 353 the algorithm is nonadaptive or adaptive (that is, queries may depend on answers to previous queries), and whether it has one-sided error or √ ˜ two-sided error.

They prove that for these classes, in contrast to standard testing, where the query complexity does not depend on n, every distribution-free 368 Other Models of Testing testing algorithm must make Ω((n/ log n)1/5 ) queries (for constant ). While there is still a gap between this lower bound and the upper bound implied by learning these classes, a strong dependence on n is unavoidable in the distribution-free case. Finally, we note that Halevy and Kushilevitz [93] also study distribution-free testing of graph properties in sparse graphs, and give an algorithm for distribution-free testing of connectivity, with similar complexity to the standard testing algorithm for this property.

3. 2 Low-Degree Polynomials 337 of V f (x; y1 , . . , y ), taken over all y1 , . . , y , equals the vote of a large fraction of the -tuples y1 , . . , y (assuming η(f ) is sufficiently small). 13. ,y V f (x; y1 , . . , y ) = g(x) . 25) Then γ(x) ≥ 1 − 2q η(f ). Proof Sketch. 13 it will actually be more convenient to work with another measure of “correctness” (or “consistency”) of a point x. ,z V f (x; y1 , . . , y ) = V f (x; z1 , . . , z ) . 5, γ(x) ≥ δ(x). Hence it suffices to obtain a lower bound on δ(x).

Download PDF sample

Rated 4.23 of 5 – based on 48 votes