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In this paper, we study the design and analysis of optimal detection scheme for sensors that are deployed to monitor the change in the environment and are powered by energy harvested from the environment. In this type of applications, detection delay is of paramount importance. We model this problem as quickest change detection problem with stochastic… (More)

In this paper, Bayesian quickest change detection problems with sampling right constraints are considered. In particular, there is a sequence of random variables whose probability density function will change at an unknown time. The goal is to detect this change in a way such that a linear combination of the average detection delay and the false alarm… (More)

The problem of sequentially finding an independent and identically distributed (i.i.d.) sequence that is drawn from a probability distribution F<sub>1</sub> by searching over multiple sequences, some of which are drawn from F<sub>1</sub> and the others of which are drawn from a different distribution F<sub>0</sub>, is considered. The sensor is allowed to… (More)

The transmission of delay sensitive smart grid system state measurements over wireless channels is considered. In the system under consideration, remote sensors obtain noisy state measurements and send these measurements over wireless channels to the control center. Our goal is to design transmission schemes that minimize a weighted sum of the square errors… (More)

We consider linear regression problems for which the underlying model undergoes multiple changes. Our goal is to estimate the number and locations of change-points that segment available data into different regions, and further produce sparse and interpretable models for each region. To address challenges of the existing approaches and to produce… (More)

In this paper, quickest detection problem with sample right constraints is considered. Specifically, there is a sequence of samples whose probability density function will change at an unknown time. The goal is to detect such a change in a way that a linear combination of the detection delay and false alarm probability is minimized. However, one can take at… (More)

- Jun Geng, Lifeng Lai
- ArXiv
- 2012

In this paper, we study the design and analysis of optimal detection scheme for sensors that are deployed to monitor the change in the environment and are powered by the energy harvested from the environment. In this type of applications, detection delay is of paramount importance. We model this problem as quickest change detection problem with a stochastic… (More)

The present work is initiated to investigate whether a defined culture comprising a mixture of three yeast species, Kluyveromyces marxianus, Saccharomyces cerevisiae, and Pichia stipitis can ferment a mixture of sugars to produce bioethanol at rates higher than those achieved by pure cultures of the same. For this purpose, we develop models of single… (More)

- Jun Geng, Weiyu Xu, Lifeng Lai
- ArXiv
- 2013

The problem of sequentially finding an independent and identically distributed (i.i.d.) sequence that is drawn from a probability distribution f 1 by searching over multiple sequences, some of which are drawn from f 1 and the others of which are drawn from a different distribution f 0 , is considered. The observer is allowed to take one observation at a… (More)

We relate the pressure "dip" observed at the bottom of a sand pile prepared by successive avalanches to the stress profile obtained on sheared granular layers in response to a localized vertical overload. We show that, within a simple anisotropic elastic analysis, the skewness and the tilt of the response profile caused by shearing provide a qualitative… (More)