Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384615962> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4384615962 abstract "Topological data analysis (TDA) has emerged as a powerful tool for extracting meaningful insights from complex data. TDA enhances the analysis of objects by embedding them into a simplicial complex and extracting useful global properties such as the Betti numbers, i.e. the number of multidimensional holes, which can be used to define kernel methods that are easily integrated with existing machine-learning algorithms. These kernel methods have found broad applications, as they rely on powerful mathematical frameworks which provide theoretical guarantees on their performance. However, the computation of higher-dimensional Betti numbers can be prohibitively expensive on classical hardware, while quantum algorithms can approximate them in polynomial time in the instance size. In this work, we propose a quantum approach to defining topological kernels, which is based on constructing Betti curves, i.e. topological fingerprint of filtrations with increasing order. We exhibit a working prototype of our approach implemented on a noiseless simulator and show its robustness by means of some empirical results suggesting that topological approaches may offer an advantage in quantum machine learning." @default.
- W4384615962 created "2023-07-18" @default.
- W4384615962 creator A5025287592 @default.
- W4384615962 creator A5034703008 @default.
- W4384615962 creator A5052997153 @default.
- W4384615962 date "2023-07-14" @default.
- W4384615962 modified "2023-09-26" @default.
- W4384615962 title "Higher-order topological kernels via quantum computation" @default.
- W4384615962 doi "https://doi.org/10.48550/arxiv.2307.07383" @default.
- W4384615962 hasPublicationYear "2023" @default.
- W4384615962 type Work @default.
- W4384615962 citedByCount "0" @default.
- W4384615962 crossrefType "posted-content" @default.
- W4384615962 hasAuthorship W4384615962A5025287592 @default.
- W4384615962 hasAuthorship W4384615962A5034703008 @default.
- W4384615962 hasAuthorship W4384615962A5052997153 @default.
- W4384615962 hasBestOaLocation W43846159621 @default.
- W4384615962 hasConcept C104317684 @default.
- W4384615962 hasConcept C110521144 @default.
- W4384615962 hasConcept C11413529 @default.
- W4384615962 hasConcept C114614502 @default.
- W4384615962 hasConcept C121332964 @default.
- W4384615962 hasConcept C129621563 @default.
- W4384615962 hasConcept C134306372 @default.
- W4384615962 hasConcept C154945302 @default.
- W4384615962 hasConcept C181576044 @default.
- W4384615962 hasConcept C184720557 @default.
- W4384615962 hasConcept C185592680 @default.
- W4384615962 hasConcept C202444582 @default.
- W4384615962 hasConcept C2776477805 @default.
- W4384615962 hasConcept C33923547 @default.
- W4384615962 hasConcept C37914503 @default.
- W4384615962 hasConcept C41008148 @default.
- W4384615962 hasConcept C41608201 @default.
- W4384615962 hasConcept C45374587 @default.
- W4384615962 hasConcept C55493867 @default.
- W4384615962 hasConcept C58053490 @default.
- W4384615962 hasConcept C62520636 @default.
- W4384615962 hasConcept C63479239 @default.
- W4384615962 hasConcept C74193536 @default.
- W4384615962 hasConcept C80444323 @default.
- W4384615962 hasConcept C84114770 @default.
- W4384615962 hasConcept C90119067 @default.
- W4384615962 hasConceptScore W4384615962C104317684 @default.
- W4384615962 hasConceptScore W4384615962C110521144 @default.
- W4384615962 hasConceptScore W4384615962C11413529 @default.
- W4384615962 hasConceptScore W4384615962C114614502 @default.
- W4384615962 hasConceptScore W4384615962C121332964 @default.
- W4384615962 hasConceptScore W4384615962C129621563 @default.
- W4384615962 hasConceptScore W4384615962C134306372 @default.
- W4384615962 hasConceptScore W4384615962C154945302 @default.
- W4384615962 hasConceptScore W4384615962C181576044 @default.
- W4384615962 hasConceptScore W4384615962C184720557 @default.
- W4384615962 hasConceptScore W4384615962C185592680 @default.
- W4384615962 hasConceptScore W4384615962C202444582 @default.
- W4384615962 hasConceptScore W4384615962C2776477805 @default.
- W4384615962 hasConceptScore W4384615962C33923547 @default.
- W4384615962 hasConceptScore W4384615962C37914503 @default.
- W4384615962 hasConceptScore W4384615962C41008148 @default.
- W4384615962 hasConceptScore W4384615962C41608201 @default.
- W4384615962 hasConceptScore W4384615962C45374587 @default.
- W4384615962 hasConceptScore W4384615962C55493867 @default.
- W4384615962 hasConceptScore W4384615962C58053490 @default.
- W4384615962 hasConceptScore W4384615962C62520636 @default.
- W4384615962 hasConceptScore W4384615962C63479239 @default.
- W4384615962 hasConceptScore W4384615962C74193536 @default.
- W4384615962 hasConceptScore W4384615962C80444323 @default.
- W4384615962 hasConceptScore W4384615962C84114770 @default.
- W4384615962 hasConceptScore W4384615962C90119067 @default.
- W4384615962 hasLocation W43846159621 @default.
- W4384615962 hasOpenAccess W4384615962 @default.
- W4384615962 hasPrimaryLocation W43846159621 @default.
- W4384615962 hasRelatedWork W1513831164 @default.
- W4384615962 hasRelatedWork W1613056596 @default.
- W4384615962 hasRelatedWork W1634291260 @default.
- W4384615962 hasRelatedWork W2061746685 @default.
- W4384615962 hasRelatedWork W2131760256 @default.
- W4384615962 hasRelatedWork W2950684912 @default.
- W4384615962 hasRelatedWork W3212961654 @default.
- W4384615962 hasRelatedWork W4213033583 @default.
- W4384615962 hasRelatedWork W4231941664 @default.
- W4384615962 hasRelatedWork W4324312088 @default.
- W4384615962 isParatext "false" @default.
- W4384615962 isRetracted "false" @default.
- W4384615962 workType "article" @default.