Matches in SemOpenAlex for { <https://semopenalex.org/work/W2274292897> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2274292897 abstract "We prove that any algorithm for learning parities requires either a memory of quadratic size or an exponential number of samples. This proves a recent conjecture of Steinhardt, Valiant and Wager and shows that for some learning problems a large storage space is crucial. More formally, in the problem of parity learning, an unknown string $x in {0,1}^n$ was chosen uniformly at random. A learner tries to learn $x$ from a stream of samples $(a_1, b_1), (a_2, b_2) ldots$, where each~$a_t$ is uniformly distributed over ${0,1}^n$ and $b_t$ is the inner product of $a_t$ and $x$, modulo~2. We show that any algorithm for parity learning, that uses less than $frac{n^2}{25}$ bits of memory, requires an exponential number of samples. Previously, there was no non-trivial lower bound on the number of samples needed, for any learning problem, even if the allowed memory size is $O(n)$ (where $n$ is the space needed to store one sample). We also give an application of our result in the field of bounded-storage cryptography. We show an encryption scheme that requires a private key of length $n$, as well as time complexity of $n$ per encryption/decription of each bit, and is provenly and unconditionally secure as long as the attacker uses less than $frac{n^2}{25}$ memory bits and the scheme is used at most an exponential number of times. Previous works on bounded-storage cryptography assumed that the memory size used by the attacker is at most linear in the time needed for encryption/decription." @default.
- W2274292897 created "2016-06-24" @default.
- W2274292897 creator A5041545934 @default.
- W2274292897 date "2016-02-16" @default.
- W2274292897 modified "2023-09-25" @default.
- W2274292897 title "Fast Learning Requires Good Memory: A Time-Space Lower Bound for Parity Learning" @default.
- W2274292897 cites W1585065779 @default.
- W2274292897 cites W1968372742 @default.
- W2274292897 cites W2023694859 @default.
- W2274292897 cites W2104965768 @default.
- W2274292897 cites W2133817484 @default.
- W2274292897 cites W2155166173 @default.
- W2274292897 cites W2964181194 @default.
- W2274292897 doi "https://doi.org/10.48550/arxiv.1602.05161" @default.
- W2274292897 hasPublicationYear "2016" @default.
- W2274292897 type Work @default.
- W2274292897 sameAs 2274292897 @default.
- W2274292897 citedByCount "13" @default.
- W2274292897 countsByYear W22742928972016 @default.
- W2274292897 countsByYear W22742928972017 @default.
- W2274292897 countsByYear W22742928972019 @default.
- W2274292897 countsByYear W22742928972020 @default.
- W2274292897 countsByYear W22742928972021 @default.
- W2274292897 crossrefType "posted-content" @default.
- W2274292897 hasAuthorship W2274292897A5041545934 @default.
- W2274292897 hasBestOaLocation W22742928971 @default.
- W2274292897 hasConcept C109214941 @default.
- W2274292897 hasConcept C111919701 @default.
- W2274292897 hasConcept C11413529 @default.
- W2274292897 hasConcept C114614502 @default.
- W2274292897 hasConcept C118615104 @default.
- W2274292897 hasConcept C121332964 @default.
- W2274292897 hasConcept C134306372 @default.
- W2274292897 hasConcept C148730421 @default.
- W2274292897 hasConcept C151376022 @default.
- W2274292897 hasConcept C178489894 @default.
- W2274292897 hasConcept C2777151079 @default.
- W2274292897 hasConcept C2779014939 @default.
- W2274292897 hasConcept C2780990831 @default.
- W2274292897 hasConcept C33923547 @default.
- W2274292897 hasConcept C34388435 @default.
- W2274292897 hasConcept C41008148 @default.
- W2274292897 hasConcept C77553402 @default.
- W2274292897 hasConcept C94375191 @default.
- W2274292897 hasConceptScore W2274292897C109214941 @default.
- W2274292897 hasConceptScore W2274292897C111919701 @default.
- W2274292897 hasConceptScore W2274292897C11413529 @default.
- W2274292897 hasConceptScore W2274292897C114614502 @default.
- W2274292897 hasConceptScore W2274292897C118615104 @default.
- W2274292897 hasConceptScore W2274292897C121332964 @default.
- W2274292897 hasConceptScore W2274292897C134306372 @default.
- W2274292897 hasConceptScore W2274292897C148730421 @default.
- W2274292897 hasConceptScore W2274292897C151376022 @default.
- W2274292897 hasConceptScore W2274292897C178489894 @default.
- W2274292897 hasConceptScore W2274292897C2777151079 @default.
- W2274292897 hasConceptScore W2274292897C2779014939 @default.
- W2274292897 hasConceptScore W2274292897C2780990831 @default.
- W2274292897 hasConceptScore W2274292897C33923547 @default.
- W2274292897 hasConceptScore W2274292897C34388435 @default.
- W2274292897 hasConceptScore W2274292897C41008148 @default.
- W2274292897 hasConceptScore W2274292897C77553402 @default.
- W2274292897 hasConceptScore W2274292897C94375191 @default.
- W2274292897 hasLocation W22742928971 @default.
- W2274292897 hasOpenAccess W2274292897 @default.
- W2274292897 hasPrimaryLocation W22742928971 @default.
- W2274292897 hasRelatedWork W2077251859 @default.
- W2274292897 hasRelatedWork W2803355438 @default.
- W2274292897 hasRelatedWork W2952586330 @default.
- W2274292897 hasRelatedWork W3037217749 @default.
- W2274292897 hasRelatedWork W3207412727 @default.
- W2274292897 hasRelatedWork W3217230002 @default.
- W2274292897 hasRelatedWork W384763036 @default.
- W2274292897 hasRelatedWork W4286901599 @default.
- W2274292897 hasRelatedWork W4294558720 @default.
- W2274292897 hasRelatedWork W2155476808 @default.
- W2274292897 isParatext "false" @default.
- W2274292897 isRetracted "false" @default.
- W2274292897 magId "2274292897" @default.
- W2274292897 workType "article" @default.