FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2063836706> ?p ?o ?g. }

• W2063836706 endingPage "199" @default.
• W2063836706 startingPage "165" @default.
• W2063836706 abstract "In [Proceedings of the Second Symposium on Switching Circuit Theory and Logical Design (FOCS), 1961, pp. 34–38], Chow proved that every Boolean threshold function is uniquely determined by its degree-0 and degree-1 Fourier coefficients. These numbers became known as the Chow parameters. Providing an algorithmic version of Chow's theorem—i.e., efficiently constructing a representation of a threshold function given its Chow parameters—has remained open ever since. This problem has received significant study in the fields of circuit complexity, game theory and the design of voting systems, and learning theory. In this paper we effectively solve the problem, giving a randomized polynomial-time approximation scheme with the following behavior: Given the Chow parameters of a Boolean threshold function f over n bits and any constant $epsilon>0$, the algorithm runs in time $O(n^2log^2n)$ and with high probability outputs a representation of a threshold function $f'$ which is $epsilon$-close to f. Along the way we prove several new results of independent interest about Boolean threshold functions. In addition to various structural results, these include $tilde{O}(n^2)$-time learning algorithms for threshold functions under the uniform distribution in the following models: (i) the restricted focus of attention model, answering an open question of Birkendorf et al.; (ii) an agnostic-type model. This contrasts with recent results of Guruswami and Raghavendra who show NP-hardness for the problem under general distributions; (iii) the PAC model, with constant $epsilon$. Our $tilde{O}(n^2)$-time algorithm substantially improves on the previous best known running time and nearly matches the $Omega(n^2)$ bits of training data that any successful learning algorithm must use." @default.
• W2063836706 created "2016-06-24" @default.
• W2063836706 creator A5014866889 @default.
• W2063836706 creator A5051167298 @default.
• W2063836706 date "2011-01-01" @default.
• W2063836706 modified "2023-09-26" @default.
• W2063836706 title "The Chow Parameters Problem" @default.
• W2063836706 cites W1502986712 @default.
• W2063836706 cites W1525870773 @default.
• W2063836706 cites W1969313096 @default.
• W2063836706 cites W1970299638 @default.
• W2063836706 cites W1977911709 @default.
• W2063836706 cites W1979969728 @default.
• W2063836706 cites W1980650531 @default.
• W2063836706 cites W1985405937 @default.
• W2063836706 cites W1994863011 @default.
• W2063836706 cites W2010549883 @default.
• W2063836706 cites W2021928776 @default.
• W2063836706 cites W2025494402 @default.
• W2063836706 cites W2027625417 @default.
• W2063836706 cites W2029917420 @default.
• W2063836706 cites W2060925867 @default.
• W2063836706 cites W2061055380 @default.
• W2063836706 cites W2061512596 @default.
• W2063836706 cites W2065151783 @default.
• W2063836706 cites W2074734756 @default.
• W2063836706 cites W2077002797 @default.
• W2063836706 cites W2081177492 @default.
• W2063836706 cites W2084217406 @default.
• W2063836706 cites W2091645100 @default.
• W2063836706 cites W2092062242 @default.
• W2063836706 cites W2097575812 @default.
• W2063836706 cites W2097830036 @default.
• W2063836706 cites W2097886040 @default.
• W2063836706 cites W2098730982 @default.
• W2063836706 cites W2106458073 @default.
• W2063836706 cites W2167260832 @default.
• W2063836706 cites W2179261203 @default.
• W2063836706 cites W2914539165 @default.
• W2063836706 cites W4214821481 @default.
• W2063836706 cites W4231598316 @default.
• W2063836706 cites W4232841423 @default.
• W2063836706 cites W4254960878 @default.
• W2063836706 doi "https://doi.org/10.1137/090756466" @default.
• W2063836706 hasPublicationYear "2011" @default.
• W2063836706 type Work @default.
• W2063836706 sameAs 2063836706 @default.
• W2063836706 citedByCount "60" @default.
• W2063836706 countsByYear W20638367062012 @default.
• W2063836706 countsByYear W20638367062013 @default.
• W2063836706 countsByYear W20638367062014 @default.
• W2063836706 countsByYear W20638367062015 @default.
• W2063836706 countsByYear W20638367062016 @default.
• W2063836706 countsByYear W20638367062017 @default.
• W2063836706 countsByYear W20638367062018 @default.
• W2063836706 countsByYear W20638367062019 @default.
• W2063836706 countsByYear W20638367062020 @default.
• W2063836706 countsByYear W20638367062021 @default.
• W2063836706 countsByYear W20638367062022 @default.
• W2063836706 countsByYear W20638367062023 @default.
• W2063836706 crossrefType "journal-article" @default.
• W2063836706 hasAuthorship W2063836706A5014866889 @default.
• W2063836706 hasAuthorship W2063836706A5051167298 @default.
• W2063836706 hasConcept C114614502 @default.
• W2063836706 hasConcept C118615104 @default.
• W2063836706 hasConcept C121332964 @default.
• W2063836706 hasConcept C123842658 @default.
• W2063836706 hasConcept C134306372 @default.
• W2063836706 hasConcept C14036430 @default.
• W2063836706 hasConcept C187455244 @default.
• W2063836706 hasConcept C199360897 @default.
• W2063836706 hasConcept C24890656 @default.
• W2063836706 hasConcept C2775997480 @default.
• W2063836706 hasConcept C2777027219 @default.
• W2063836706 hasConcept C311688 @default.
• W2063836706 hasConcept C33923547 @default.
• W2063836706 hasConcept C41008148 @default.
• W2063836706 hasConcept C63553672 @default.
• W2063836706 hasConcept C78458016 @default.
• W2063836706 hasConcept C86803240 @default.
• W2063836706 hasConcept C90119067 @default.
• W2063836706 hasConceptScore W2063836706C114614502 @default.
• W2063836706 hasConceptScore W2063836706C118615104 @default.
• W2063836706 hasConceptScore W2063836706C121332964 @default.
• W2063836706 hasConceptScore W2063836706C123842658 @default.
• W2063836706 hasConceptScore W2063836706C134306372 @default.
• W2063836706 hasConceptScore W2063836706C14036430 @default.
• W2063836706 hasConceptScore W2063836706C187455244 @default.
• W2063836706 hasConceptScore W2063836706C199360897 @default.
• W2063836706 hasConceptScore W2063836706C24890656 @default.
• W2063836706 hasConceptScore W2063836706C2775997480 @default.
• W2063836706 hasConceptScore W2063836706C2777027219 @default.
• W2063836706 hasConceptScore W2063836706C311688 @default.
• W2063836706 hasConceptScore W2063836706C33923547 @default.
• W2063836706 hasConceptScore W2063836706C41008148 @default.
• W2063836706 hasConceptScore W2063836706C63553672 @default.
• W2063836706 hasConceptScore W2063836706C78458016 @default.
• W2063836706 hasConceptScore W2063836706C86803240 @default.

• next