Matches in SemOpenAlex for { <https://semopenalex.org/work/W4294491489> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4294491489 abstract "To discuss the existence and uniqueness of proper scoring rules one needs to extend the associated entropy functions as sublinear functions to the conic hull of the prediction set. In some natural function spaces, such as the Lebesgue $L^p$-spaces over $mathbb R^d$, the positive cones have empty interior. Entropy functions defined on such cones have only directional derivatives. Certain entropies may be further extended continuously to open cones in normed spaces containing signed densities. The extended densities are G^ateaux differentiable except on a negligible set and have everywhere continuous subgradients due to the supporting hyperplane theorem. We introduce the necessary framework from analysis and algebra that allows us to give an affirmative answer to the titular question of the paper. As a result of this, we give a formal sense in which entropy functions have uniquely associated proper scoring rules. We illustrate our framework by studying the derivatives and subgradients of the following three prototypical entropies: Shannon entropy, Hyvarinen entropy, and quadratic entropy." @default.
- W4294491489 created "2022-09-03" @default.
- W4294491489 creator A5038369221 @default.
- W4294491489 date "2015-02-04" @default.
- W4294491489 modified "2023-09-30" @default.
- W4294491489 title "Existence and Uniqueness of Proper Scoring Rules" @default.
- W4294491489 doi "https://doi.org/10.48550/arxiv.1502.01269" @default.
- W4294491489 hasPublicationYear "2015" @default.
- W4294491489 type Work @default.
- W4294491489 citedByCount "0" @default.
- W4294491489 crossrefType "posted-content" @default.
- W4294491489 hasAuthorship W4294491489A5038369221 @default.
- W4294491489 hasBestOaLocation W42944914891 @default.
- W4294491489 hasConcept C106301342 @default.
- W4294491489 hasConcept C114614502 @default.
- W4294491489 hasConcept C117160843 @default.
- W4294491489 hasConcept C118615104 @default.
- W4294491489 hasConcept C121332964 @default.
- W4294491489 hasConcept C134306372 @default.
- W4294491489 hasConcept C15627037 @default.
- W4294491489 hasConcept C202444582 @default.
- W4294491489 hasConcept C202615002 @default.
- W4294491489 hasConcept C2777021972 @default.
- W4294491489 hasConcept C33923547 @default.
- W4294491489 hasConcept C62520636 @default.
- W4294491489 hasConcept C68693459 @default.
- W4294491489 hasConceptScore W4294491489C106301342 @default.
- W4294491489 hasConceptScore W4294491489C114614502 @default.
- W4294491489 hasConceptScore W4294491489C117160843 @default.
- W4294491489 hasConceptScore W4294491489C118615104 @default.
- W4294491489 hasConceptScore W4294491489C121332964 @default.
- W4294491489 hasConceptScore W4294491489C134306372 @default.
- W4294491489 hasConceptScore W4294491489C15627037 @default.
- W4294491489 hasConceptScore W4294491489C202444582 @default.
- W4294491489 hasConceptScore W4294491489C202615002 @default.
- W4294491489 hasConceptScore W4294491489C2777021972 @default.
- W4294491489 hasConceptScore W4294491489C33923547 @default.
- W4294491489 hasConceptScore W4294491489C62520636 @default.
- W4294491489 hasConceptScore W4294491489C68693459 @default.
- W4294491489 hasLocation W42944914891 @default.
- W4294491489 hasOpenAccess W4294491489 @default.
- W4294491489 hasPrimaryLocation W42944914891 @default.
- W4294491489 hasRelatedWork W1540184672 @default.
- W4294491489 hasRelatedWork W1582416669 @default.
- W4294491489 hasRelatedWork W1978393426 @default.
- W4294491489 hasRelatedWork W2072497400 @default.
- W4294491489 hasRelatedWork W2952352293 @default.
- W4294491489 hasRelatedWork W2962966565 @default.
- W4294491489 hasRelatedWork W2963575629 @default.
- W4294491489 hasRelatedWork W3020946092 @default.
- W4294491489 hasRelatedWork W4293411674 @default.
- W4294491489 hasRelatedWork W972173259 @default.
- W4294491489 isParatext "false" @default.
- W4294491489 isRetracted "false" @default.
- W4294491489 workType "article" @default.