See this document in CiteSeerX!

Complexity Theoretic Hardness Results for Query Learning (1998)  (Make Corrections)  (12 citations)
Howard Aizenstein, Tibor Hegedüs, Lisa Hellerstein, Leonard Pitt
Computational Complexity



  Home/Search   Context   Related

 
View or download:
uiuc.edu/~pitt/Pape...queryhardness.ps
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  uiuc.edu/~pitt/ (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: We investigate the complexity of learning for the well-studied model in which the learning algorithm may ask membership and equivalence queries. While complexity theoretic techniques have previously been used to prove hardness results in various learning models, these techniques typically are not strong enough to use when a learning algorithm may make membership queries. We develop a general technique for proving hardness results for learning with membership and equivalence queries (and... (Update)

Context of citations to this paper:   More

.... (occurrences of each variable) in a formula, a restriction that has been well investigated in the learning theory literature [3, 38, 9, 10, 39, 1, 2]. Previous work has shown that it is possible to identify an arbitrary monotone read once ( formula under a stronger notion of...

...problems on 1 decision lists. We consider recognition from a formula (also called membership problem [20] and representation problem [4, 1]) and problems in the context of partially defined Boolean functions. A partially defined Boolean function (pdBf) can be viewed as a...

Cited by:   More
On the Complexity of Training a Single Perceptron with.. - Síma   (Correct)
The Complexity of Learning Concept Classes with Polynomial.. - Köbler, Lindner (2002)   (Correct)
Conjunctions of Unate DNF Formulas: Learning and Structure - Feigelson, Hellerstein (1998)   (Correct)

Active bibliography (related documents):   More   All
0.7:   On the Geometric Separability of Boolean Functions - Hegedüs, Megiddo (1995)   (Correct)
0.5:   Learning Read-Once Formulas with Queries - Angluin, Hellerstein, Karpinski (1989)   (Correct)
0.5:   Graph Sandwich Problems - Golumbic, Kaplan, Shamir (1994)   (Correct)

Similar documents based on text:   More   All
0.6:   Learning k-term DNF Formulas with an Incomplete Membership.. - Goldman, Mathias (1992)   (Correct)
0.5:   Learning Boolean Read-Once Formulas over Generalized Bases - Bshouty, Hancock.. (1995)   (Correct)
0.5:   An Algorithm to Learn Read-Once Threshold Formulas, and some.. - Bshouty, al. (1993)   (Correct)

Related documents from co-citation:   More   All
8:   Queries and concept learning (context) - Angluin - 1988
7:   the Limits of Proper Learnability of Subclasses of DNF Formulas (context) - Pillaipakkamnatt, Raghavan - 1994
5:   Learning when irrelevant attributes abound: A new linear-threshold algorithm (context) - Littlestone - 1988

BibTeX entry:   (Update)

H. Aizenstein, T. Hegedus, L. Hellerstein, and L. Pitt. Complexity Theoretic Hardness Results for Query Learning. Journal of Complexity, 1998. to appear. http://citeseer.ist.psu.edu/aizenstein98complexity.html   More

@article{ aizenstein98complexity,
    author = "Howard Aizenstein and Tibor Hegedus and Lisa Hellerstein and Leonard Pitt",
    title = "Complexity Theoretic Hardness Results for Query Learning",
    journal = "Computational Complexity",
    volume = "7",
    number = "1",
    pages = "19-53",
    year = "1998",
    url = "citeseer.ist.psu.edu/aizenstein98complexity.html" }
Citations (may not include all citations):
493   Communications of the ACM (context) - Valiant, of et al. - 1984
488   Algorithmic Graph Theory and Perfect Graphs (context) - Golumbic - 1980
441   Queries and concept learning (context) - Angluin - 1988
244   Learning regular sets from queries and counterexamples (context) - Angluin - 1987
184   Cryptographic limitations on learning Boolean formulae and f.. - Kearns, Valiant - 1994
149   Information Processing Letters (context) - Blumer, Ehrenfeucht et al. - 1987
144   Computational limitations on learning from examples (context) - Pitt, Valiant - 1988
129   Theoretical Computer Science (context) - Stockmeyer, hierarchy - 1976
105   Word problems requiring exponential time (context) - Stockmeyer, Meyer - 1973
101   Threshold logic and its applications (context) - Muroga - 1971
97   Learning read-once formulas with queries - Angluin, Hellerstein et al. - 1993
84   Learning conjunctions of Horn clauses - Angluin, Frazier et al. - 1992
82   When won't membership queries help (context) - Angluin, Kharitonov - 1991
78   the learnability of Boolean formulae - Kearns, Li et al. - 1987
74   Exact learning via the monotone theory (context) - Bshouty - 1993
66   Computational learning theory: survey and selected bibliogra.. (context) - Angluin - 1992
59   Prediction preserving reducibility (context) - Pitt, Warmuth - 1990
57   Oracles and queries that are sufficient for exact learning - Bshouty, Cleve et al. - 1994
54   Learning conjunctive concepts in structural domains (context) - Haussler - 1989
48   Classifying learnable geometric concepts with the Vapnik-Che.. (context) - Blumer, Ehrenfeucht et al. - 1986
46   An efficient membership-query algorithm for learning DNF wit.. - Jackson - 1994
45   The minimum consistent DFA problem cannot be approximated wi.. (context) - Pitt, Warmuth - 1993
36   How many queries are needed to learn - Hellerstein, Pillaipakkamnatt et al. - 1995
35   The complexity of the partial order dimension problem (context) - Yannakakis - 1982
27   term DNF formulas using queries and counterexamples (context) - Angluin, k- - 1987
26   Algorithms and lower bounds for on-line learning of geometri.. (context) - Maass, Tur'an - 1994
26   How fast can a threshold gate learn (context) - Maass, Turan - 1994
26   Learning arithmetic readonce formulas (context) - Bshouty, Hancock et al. - 1995
26   Training a 3-node neural net is NP-Complete (context) - Blum, Rivest - 1989
22   Read-thrice DNF is hard to learn with membership and equival.. (context) - Aizenstein, Hellerstein et al. - 1992
17   Learning functions of k terms (context) - Blum, Singh - 1990
17   Separating distribution-free and mistake-bound learning mode.. (context) - Blum - 1994
15   On learning ring-sum-expansions (context) - Fischer, Simon - 1992
13   An algorithm to learn read-once threshold formulas - Bshouty, Hancock et al. - 1994
13   the Learnability of Disjunctive Normal Form Formulas and Dec.. (context) - Aizenstein - 1993
12   Learning in neural networks (context) - Judd - 1988
12   the limits of proper learnability of subclasses of DNF formu.. (context) - Pillaipakkamnatt, Raghavan - 1994
10   A note on the production of matroid minors (context) - Seymour - 1977
10   Read-twice dnf formulas are properly learnable (context) - Pillaipakkamnatt, Raghavan - 1994
9   Combinatorial characterization of read-once formulae - Karchmer, Linial et al. - 1993
9   Polynomial time learnability of simple deterministic languag.. (context) - Ishizaka - 1990
8   Learning boolean readonce formulas over generalized bases - Bshouty, Hancock et al. - 1995
7   Theoretical Computer Science (context) - Board, Pitt et al. - 1992
7   Complexity results on learning by neural networks (context) - Lin, Vitter - 1991
7   Threshold Numbers and Threshold Completions (context) - Hammer, Ibaraki et al. - 1981
6   Learning switch configurations (context) - Raghavan, Schach - 1990
6   Generalized teaching dimensions and the query complexity of .. (context) - us - 1995
6   Exact learning of -DNF formulas with malicious membership qu.. (context) - Angluin - 1994
5   Aggregation of inequalities in integer programming (context) - Chvatal, Hammer - 1977
5   A graph theoretic characterization of the pv chunk class of .. (context) - Henderson, Zalcstein - 1977
4   On characterizing and learning some classes of read-once fun.. (context) - Hellerstein - 1989
3   On repetition-free boolean functions (context) - Gurvich - 1977
2   Departament de Llenguatges i sistemes inform`atics (context) - Gavald, The et al. - 1994
2   Three \Sigma 2 -Complete problems in computational learning .. (context) - Ko, Tzeng - 1991
2   Threshold decompositions of boolean functions and graphs (context) - Tyshkevich, Chernyak - 1989
1   Complete sets for the polynomial time hierarchy (context) - Wrathall - 1976
1   a learnability question associated to neural networks with c.. - DasGupta, Siegelmann et al. - 1994
1   On training simple neural networks and small-weight neurons (context) - us - 1994
1   Special Issue on Computational Learning Theory (context) - Angluin, for et al. - 1990
1   Can complexity theory benefit from learning theory (context) - us - 1993
1   Manuscript submitted for publication (context) - Aizenstein, Blum et al. - 1994



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www-sal.cs.uiuc.edu/~pitt/):   More
On Exploiting Knowledge and Concept Use in Learning Theory - Pitt   (Correct)
Learning Conjunctions of Horn Clauses - Angluin, Frazier, Pitt (1992)   (Correct)
Criteria for Polynomial Time (Conceptual) Clustering - Pitt, Reinke   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC