Results 21 to 30 of about 107 (63)
Active sequential hypothesis testing
Consider a decision maker who is responsible to dynamically collect observations so as to enhance his information about an underlying phenomena of interest in a speedy manner while accounting for the penalty of wrong declaration.
Javidi, Tara, Naghshvar, Mohammad
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Adaptive numerical designs for the calibration of computer codes
Making good predictions of a physical system using a computer code requires the inputs to be carefully specified. Some of these inputs called control variables have to reproduce physical conditions whereas other inputs, called parameters, are specific to
Barbillon, Pierre +4 more
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We consider the problem of estimating a probability of failure $\alpha$, defined as the volume of the excursion set of a function $f:\mathbb{X} \subseteq \mathbb{R}^{d} \to \mathbb{R}$ above a given threshold, under a given probability measure on ...
Bect, Julien +2 more
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Optimal two-stage procedures for estimating location and size of maximum of multivariate regression function [PDF]
We propose a two-stage procedure for estimating the location $\bolds{\mu}$ and size M of the maximum of a smooth d-variate regression function f.
Belitser, E., Ghosal, S., van Zanten, H.
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Inverse sampling and triangular sequential designs to compare a small proportion with a reference value [PDF]
Inverse sampling and formal sequential designs may prove useful in reducing the sample size in studies where a small population proportion p is compared with a hypothesized reference proportion p0. These methods are applied to the design of a cytogenetic
González, Juan R. +5 more
core
Rates of convergence in active learning
We study the rates of convergence in generalization error achievable by active learning under various types of label noise. Additionally, we study the general problem of model selection for active learning with a nested hierarchy of hypothesis classes ...
Hanneke, Steve
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Hierarchical testing designs for pattern recognition
We explore the theoretical foundations of a ``twenty questions'' approach to pattern recognition. The object of the analysis is the computational process itself rather than probability distributions (Bayesian inference) or decision boundaries ...
Blanchard, Gilles, Geman, Donald
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The Fighter Problem: Optimal Allocation of a Discrete Commodity
The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with $n$ anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which follows a homogeneous Poisson process with known intensity.
Bartroff, Jay, Samuel-Cahn, Ester
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Bounded regret in stochastic multi-armed bandits
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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Online learning in repeated auctions
Motivated by online advertising auctions, we consider repeated Vickrey auctions where goods of unknown value are sold sequentially and bidders only learn (potentially noisy) information about a good's value once it is purchased.
Perchet, Vianney +2 more
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