Results 21 to 30 of about 259 (37)
Construction of Special Solutions for Nonintegrable Systems
, 2006 The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J +30 more
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Detection of an anomalous cluster in a network
, 2010 We consider the problem of detecting whether or not, in a given sensor network, there is a cluster of sensors which exhibit an "unusual behavior." Formally, suppose we are given a set of nodes and attach a random variable to each node.
Arias-Castro, Ery +2 more
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Nearly optimal minimax estimator for high-dimensional sparse linear regression
, 2013 We present estimators for a well studied statistical estimation problem: the estimation for the linear regression model with soft sparsity constraints ($\ell_q$ constraint with ...
Zhang, Li
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Consistency of cross validation for comparing regression procedures
, 2008 Theoretical developments on cross validation (CV) have mainly focused on selecting one among a list of finite-dimensional models (e.g., subset or order selection in linear regression) or selecting a smoothing parameter (e.g., bandwidth for kernel ...
Yang, Yuhong
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Woodroofe's one-armed bandit problem revisited
, 2009 We consider the one-armed bandit problem of Woodroofe [J. Amer. Statist. Assoc. 74 (1979) 799--806], which involves sequential sampling from two populations: one whose characteristics are known, and one which depends on an unknown parameter and ...
Goldenshluger, Alexander, Zeevi, Assaf
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Asymptotically minimax Bayes predictive densities
, 2007 Given a random sample from a distribution with density function that depends on an unknown parameter $\theta$, we are interested in accurately estimating the true parametric density function at a future observation from the same distribution.
Aslan, Mihaela
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Optimal Estimation and Prediction for Dense Signals in High-Dimensional Linear Models [PDF]
, 2012 Estimation and prediction problems for dense signals are often framed in terms of minimax problems over highly symmetric parameter spaces. In this paper, we study minimax problems over l2-balls for high-dimensional linear models with Gaussian predictors.
Dicker, Lee
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Testability of high-dimensional linear models with nonsparse structures. [PDF]
Ann Stat, 2022 Bradic J, Fan J, Zhu Y.
europepmc +1 more source
Estimating the Reach of a Manifold via its Convexity Defect Function. [PDF]
Discrete Comput Geom, 2022 Berenfeld C +3 more
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Bounded regret in stochastic multi-armed bandits
, 2013 We study the stochastic multi-armed bandit problem when one knows the value $\mu^{(\star)}$ of an optimal arm, as a well as a positive lower bound on the smallest positive gap $\Delta$.
Bubeck, Sébastien +2 more
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