FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3131857100> ?p ?o ?g. }

• W3131857100 abstract "In the present work we study classifiers' decision boundaries via Brownian motion processes in ambient data space and associated probabilistic techniques. Intuitively, our ideas correspond to placing a heat source at the decision boundary and observing how effectively the sample points warm up. We are largely motivated by the search for a soft measure that sheds further light on the decision boundary's geometry. En route, we bridge aspects of potential theory and geometric analysis (Mazya, 2011, Grigoryan-Saloff-Coste, 2002) with active fields of ML research such as adversarial examples and generalization bounds. First, we focus on the geometric behavior of decision boundaries in the light of adversarial attack/defense mechanisms. Experimentally, we observe a certain capacitory trend over different adversarial defense strategies: decision boundaries locally become flatter as measured by isoperimetric inequalities (Ford et al, 2019); however, our more sensitive heat-diffusion metrics extend this analysis and further reveal that some non-trivial geometry invisible to plain distance-based methods is still preserved. Intuitively, we provide evidence that the decision boundaries nevertheless retain many persistent wiggly and fuzzy regions on a finer scale. Second, we show how Brownian hitting probabilities translate to soft generalization bounds which are in turn connected to compression and noise stability (Arora et al, 2018), and these bounds are significantly stronger if the decision boundary has controlled geometric features." @default.
• W3131857100 created "2021-03-01" @default.
• W3131857100 creator A5008760665 @default.
• W3131857100 creator A5066384489 @default.
• W3131857100 creator A5074343919 @default.
• W3131857100 date "2021-01-15" @default.
• W3131857100 modified "2023-09-23" @default.
• W3131857100 title "Heating up decision boundaries: isocapacitory saturation, adversarial scenarios and generalization bounds" @default.
• W3131857100 cites W1556956362 @default.
• W3131857100 cites W177010616 @default.
• W3131857100 cites W1963379321 @default.
• W3131857100 cites W1990770240 @default.
• W3131857100 cites W2008178857 @default.
• W3131857100 cites W2038181363 @default.
• W3131857100 cites W2069905133 @default.
• W3131857100 cites W2081338783 @default.
• W3131857100 cites W2112796928 @default.
• W3131857100 cites W2149298154 @default.
• W3131857100 cites W2194775991 @default.
• W3131857100 cites W2293768274 @default.
• W3131857100 cites W2767471303 @default.
• W3131857100 cites W2773446523 @default.
• W3131857100 cites W2785557471 @default.
• W3131857100 cites W2785887350 @default.
• W3131857100 cites W2804047946 @default.
• W3131857100 cites W2888303193 @default.
• W3131857100 cites W2906186365 @default.
• W3131857100 cites W2949769151 @default.
• W3131857100 cites W2962754637 @default.
• W3131857100 cites W2962857907 @default.
• W3131857100 cites W2963026800 @default.
• W3131857100 cites W2963038205 @default.
• W3131857100 cites W2963236897 @default.
• W3131857100 cites W2963285844 @default.
• W3131857100 cites W2963467071 @default.
• W3131857100 cites W2963664410 @default.
• W3131857100 cites W2963739340 @default.
• W3131857100 cites W2963857521 @default.
• W3131857100 cites W2964137095 @default.
• W3131857100 cites W2964153729 @default.
• W3131857100 cites W2964253222 @default.
• W3131857100 cites W2971069898 @default.
• W3131857100 cites W2995631573 @default.
• W3131857100 cites W2996564870 @default.
• W3131857100 cites W2997733093 @default.
• W3131857100 cites W3001679316 @default.
• W3131857100 cites W323741540 @default.
• W3131857100 cites W358418447 @default.
• W3131857100 cites W2948140748 @default.
• W3131857100 hasPublicationYear "2021" @default.
• W3131857100 type Work @default.
• W3131857100 sameAs 3131857100 @default.
• W3131857100 citedByCount "0" @default.
• W3131857100 crossrefType "posted-content" @default.
• W3131857100 hasAuthorship W3131857100A5008760665 @default.
• W3131857100 hasAuthorship W3131857100A5066384489 @default.
• W3131857100 hasAuthorship W3131857100A5074343919 @default.
• W3131857100 hasConcept C105795698 @default.
• W3131857100 hasConcept C112401455 @default.
• W3131857100 hasConcept C134306372 @default.
• W3131857100 hasConcept C140142295 @default.
• W3131857100 hasConcept C154945302 @default.
• W3131857100 hasConcept C177148314 @default.
• W3131857100 hasConcept C33923547 @default.
• W3131857100 hasConcept C41008148 @default.
• W3131857100 hasConcept C42023084 @default.
• W3131857100 hasConcept C49937458 @default.
• W3131857100 hasConcept C62354387 @default.
• W3131857100 hasConcept C95623464 @default.
• W3131857100 hasConceptScore W3131857100C105795698 @default.
• W3131857100 hasConceptScore W3131857100C112401455 @default.
• W3131857100 hasConceptScore W3131857100C134306372 @default.
• W3131857100 hasConceptScore W3131857100C140142295 @default.
• W3131857100 hasConceptScore W3131857100C154945302 @default.
• W3131857100 hasConceptScore W3131857100C177148314 @default.
• W3131857100 hasConceptScore W3131857100C33923547 @default.
• W3131857100 hasConceptScore W3131857100C41008148 @default.
• W3131857100 hasConceptScore W3131857100C42023084 @default.
• W3131857100 hasConceptScore W3131857100C49937458 @default.
• W3131857100 hasConceptScore W3131857100C62354387 @default.
• W3131857100 hasConceptScore W3131857100C95623464 @default.
• W3131857100 hasOpenAccess W3131857100 @default.
• W3131857100 hasRelatedWork W2113892508 @default.
• W3131857100 hasRelatedWork W2169300452 @default.
• W3131857100 hasRelatedWork W2287437177 @default.
• W3131857100 hasRelatedWork W2406117313 @default.
• W3131857100 hasRelatedWork W2900413721 @default.
• W3131857100 hasRelatedWork W2914852400 @default.
• W3131857100 hasRelatedWork W2918775908 @default.
• W3131857100 hasRelatedWork W2920912948 @default.
• W3131857100 hasRelatedWork W2952118858 @default.
• W3131857100 hasRelatedWork W2953025711 @default.
• W3131857100 hasRelatedWork W2962902183 @default.
• W3131857100 hasRelatedWork W3008370472 @default.
• W3131857100 hasRelatedWork W3084031692 @default.
• W3131857100 hasRelatedWork W3121439684 @default.
• W3131857100 hasRelatedWork W3126211418 @default.
• W3131857100 hasRelatedWork W3128386457 @default.
• W3131857100 hasRelatedWork W3154883250 @default.
• W3131857100 hasRelatedWork W3187298454 @default.

• next