FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1857242593> ?p ?o ?g. }

• W1857242593 abstract "Linear regression studies the problem of estimating a model parameter $beta^* in mathbb{R}^p$, from $n$ observations ${(y_i,mathbf{x}_i)}_{i=1}^n$ from linear model $y_i = langle mathbf{x}_i,beta^* rangle + epsilon_i$. We consider a significant generalization in which the relationship between $langle mathbf{x}_i,beta^* rangle$ and $y_i$ is noisy, quantized to a single bit, potentially nonlinear, noninvertible, as well as unknown. This model is known as the single-index model in statistics, and, among other things, it represents a significant generalization of one-bit compressed sensing. We propose a novel spectral-based estimation procedure and show that we can recover $beta^*$ in settings (i.e., classes of link function $f$) where previous algorithms fail. In general, our algorithm requires only very mild restrictions on the (unknown) functional relationship between $y_i$ and $langle mathbf{x}_i,beta^* rangle$. We also consider the high dimensional setting where $beta^*$ is sparse ,and introduce a two-stage nonconvex framework that addresses estimation challenges in high dimensional regimes where $p gg n$. For a broad class of link functions between $langle mathbf{x}_i,beta^* rangle$ and $y_i$, we establish minimax lower bounds that demonstrate the optimality of our estimators in both the classical and high dimensional regimes." @default.
• W1857242593 created "2016-06-24" @default.
• W1857242593 creator A5034590533 @default.
• W1857242593 creator A5042916468 @default.
• W1857242593 creator A5053978837 @default.
• W1857242593 creator A5078210646 @default.
• W1857242593 date "2015-05-13" @default.
• W1857242593 modified "2023-09-27" @default.
• W1857242593 title "Optimal linear estimation under unknown nonlinear transform" @default.
• W1857242593 cites W1481221946 @default.
• W1857242593 cites W1538452572 @default.
• W1857242593 cites W156419107 @default.
• W1857242593 cites W1596193948 @default.
• W1857242593 cites W178986290 @default.
• W1857242593 cites W182164380 @default.
• W1857242593 cites W1902198634 @default.
• W1857242593 cites W1970915113 @default.
• W1857242593 cites W1978930761 @default.
• W1857242593 cites W2020925091 @default.
• W1857242593 cites W2030676067 @default.
• W1857242593 cites W2044809283 @default.
• W1857242593 cites W2083005776 @default.
• W1857242593 cites W2097417531 @default.
• W1857242593 cites W2098290597 @default.
• W1857242593 cites W2106289236 @default.
• W1857242593 cites W2111947236 @default.
• W1857242593 cites W2112038498 @default.
• W1857242593 cites W2113290770 @default.
• W1857242593 cites W2137404238 @default.
• W1857242593 cites W2144405862 @default.
• W1857242593 cites W2144629557 @default.
• W1857242593 cites W2152020329 @default.
• W1857242593 cites W2163490846 @default.
• W1857242593 cites W2164278908 @default.
• W1857242593 cites W2171623021 @default.
• W1857242593 cites W2615253071 @default.
• W1857242593 cites W2964003909 @default.
• W1857242593 cites W2964207716 @default.
• W1857242593 cites W2965497096 @default.
• W1857242593 cites W3148325197 @default.
• W1857242593 cites W340056678 @default.
• W1857242593 cites W58673994 @default.
• W1857242593 cites W2963683258 @default.
• W1857242593 hasPublicationYear "2015" @default.
• W1857242593 type Work @default.
• W1857242593 sameAs 1857242593 @default.
• W1857242593 citedByCount "14" @default.
• W1857242593 countsByYear W18572425932015 @default.
• W1857242593 countsByYear W18572425932016 @default.
• W1857242593 countsByYear W18572425932017 @default.
• W1857242593 countsByYear W18572425932018 @default.
• W1857242593 countsByYear W18572425932019 @default.
• W1857242593 crossrefType "posted-content" @default.
• W1857242593 hasAuthorship W1857242593A5034590533 @default.
• W1857242593 hasAuthorship W1857242593A5042916468 @default.
• W1857242593 hasAuthorship W1857242593A5053978837 @default.
• W1857242593 hasAuthorship W1857242593A5078210646 @default.
• W1857242593 hasConcept C105795698 @default.
• W1857242593 hasConcept C11413529 @default.
• W1857242593 hasConcept C114614502 @default.
• W1857242593 hasConcept C118615104 @default.
• W1857242593 hasConcept C121332964 @default.
• W1857242593 hasConcept C124851039 @default.
• W1857242593 hasConcept C126255220 @default.
• W1857242593 hasConcept C134306372 @default.
• W1857242593 hasConcept C14036430 @default.
• W1857242593 hasConcept C149728462 @default.
• W1857242593 hasConcept C158622935 @default.
• W1857242593 hasConcept C177148314 @default.
• W1857242593 hasConcept C185429906 @default.
• W1857242593 hasConcept C199360897 @default.
• W1857242593 hasConcept C2776174256 @default.
• W1857242593 hasConcept C28826006 @default.
• W1857242593 hasConcept C33923547 @default.
• W1857242593 hasConcept C41008148 @default.
• W1857242593 hasConcept C62520636 @default.
• W1857242593 hasConcept C78458016 @default.
• W1857242593 hasConcept C86803240 @default.
• W1857242593 hasConceptScore W1857242593C105795698 @default.
• W1857242593 hasConceptScore W1857242593C11413529 @default.
• W1857242593 hasConceptScore W1857242593C114614502 @default.
• W1857242593 hasConceptScore W1857242593C118615104 @default.
• W1857242593 hasConceptScore W1857242593C121332964 @default.
• W1857242593 hasConceptScore W1857242593C124851039 @default.
• W1857242593 hasConceptScore W1857242593C126255220 @default.
• W1857242593 hasConceptScore W1857242593C134306372 @default.
• W1857242593 hasConceptScore W1857242593C14036430 @default.
• W1857242593 hasConceptScore W1857242593C149728462 @default.
• W1857242593 hasConceptScore W1857242593C158622935 @default.
• W1857242593 hasConceptScore W1857242593C177148314 @default.
• W1857242593 hasConceptScore W1857242593C185429906 @default.
• W1857242593 hasConceptScore W1857242593C199360897 @default.
• W1857242593 hasConceptScore W1857242593C2776174256 @default.
• W1857242593 hasConceptScore W1857242593C28826006 @default.
• W1857242593 hasConceptScore W1857242593C33923547 @default.
• W1857242593 hasConceptScore W1857242593C41008148 @default.
• W1857242593 hasConceptScore W1857242593C62520636 @default.
• W1857242593 hasConceptScore W1857242593C78458016 @default.
• W1857242593 hasConceptScore W1857242593C86803240 @default.
• W1857242593 hasLocation W18572425931 @default.

• next