Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288006479> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4288006479 abstract "This paper studies the optimality of kernel methods in high-dimensional data clustering. Recent works have studied the large sample performance of kernel clustering in the high-dimensional regime, where Euclidean distance becomes less informative. However, it is unknown whether popular methods, such as kernel k-means, are optimal in this regime. We consider the problem of high-dimensional Gaussian clustering and show that, with the exponential kernel function, the sufficient conditions for partial recovery of clusters using the NP-hard kernel k-means objective matches the known information-theoretic limit up to a factor of $sqrt{2}$ for large $k$. It also exactly matches the known upper bounds for the non-kernel setting. We also show that a semi-definite relaxation of the kernel k-means procedure matches up to constant factors, the spectral threshold, below which no polynomial-time algorithm is known to succeed. This is the first work that provides such optimality guarantees for the kernel k-means as well as its convex relaxation. Our proofs demonstrate the utility of the less known polynomial concentration results for random variables with exponentially decaying tails in a higher-order analysis of kernel methods." @default.
- W4288006479 created "2022-07-26" @default.
- W4288006479 creator A5052425916 @default.
- W4288006479 creator A5064168352 @default.
- W4288006479 date "2019-12-01" @default.
- W4288006479 modified "2023-09-28" @default.
- W4288006479 title "On the optimality of kernels for high-dimensional clustering" @default.
- W4288006479 doi "https://doi.org/10.48550/arxiv.1912.00458" @default.
- W4288006479 hasPublicationYear "2019" @default.
- W4288006479 type Work @default.
- W4288006479 citedByCount "0" @default.
- W4288006479 crossrefType "posted-content" @default.
- W4288006479 hasAuthorship W4288006479A5052425916 @default.
- W4288006479 hasAuthorship W4288006479A5064168352 @default.
- W4288006479 hasBestOaLocation W42880064791 @default.
- W4288006479 hasConcept C105795698 @default.
- W4288006479 hasConcept C114614502 @default.
- W4288006479 hasConcept C122280245 @default.
- W4288006479 hasConcept C12267149 @default.
- W4288006479 hasConcept C134306372 @default.
- W4288006479 hasConcept C151201525 @default.
- W4288006479 hasConcept C154945302 @default.
- W4288006479 hasConcept C195699287 @default.
- W4288006479 hasConcept C28826006 @default.
- W4288006479 hasConcept C33923547 @default.
- W4288006479 hasConcept C41008148 @default.
- W4288006479 hasConcept C73555534 @default.
- W4288006479 hasConcept C74193536 @default.
- W4288006479 hasConceptScore W4288006479C105795698 @default.
- W4288006479 hasConceptScore W4288006479C114614502 @default.
- W4288006479 hasConceptScore W4288006479C122280245 @default.
- W4288006479 hasConceptScore W4288006479C12267149 @default.
- W4288006479 hasConceptScore W4288006479C134306372 @default.
- W4288006479 hasConceptScore W4288006479C151201525 @default.
- W4288006479 hasConceptScore W4288006479C154945302 @default.
- W4288006479 hasConceptScore W4288006479C195699287 @default.
- W4288006479 hasConceptScore W4288006479C28826006 @default.
- W4288006479 hasConceptScore W4288006479C33923547 @default.
- W4288006479 hasConceptScore W4288006479C41008148 @default.
- W4288006479 hasConceptScore W4288006479C73555534 @default.
- W4288006479 hasConceptScore W4288006479C74193536 @default.
- W4288006479 hasLocation W42880064791 @default.
- W4288006479 hasOpenAccess W4288006479 @default.
- W4288006479 hasPrimaryLocation W42880064791 @default.
- W4288006479 hasRelatedWork W1868154173 @default.
- W4288006479 hasRelatedWork W2083951385 @default.
- W4288006479 hasRelatedWork W2086619942 @default.
- W4288006479 hasRelatedWork W2142373740 @default.
- W4288006479 hasRelatedWork W2349153019 @default.
- W4288006479 hasRelatedWork W2378949794 @default.
- W4288006479 hasRelatedWork W2601223235 @default.
- W4288006479 hasRelatedWork W3149448578 @default.
- W4288006479 hasRelatedWork W4322759964 @default.
- W4288006479 hasRelatedWork W4362684611 @default.
- W4288006479 isParatext "false" @default.
- W4288006479 isRetracted "false" @default.
- W4288006479 workType "article" @default.