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- Joseph E. Yukich
- 2009

This overview surveys two general methods for establishing limit theorems for functionals in discrete stochastic geometry. The functionals of interest are linear statistics with the generalâ€¦ (More)

- Joseph E. Yukich, Maxwell B. Stinchcombe, Halbert White
- IEEE Trans. Information Theory
- 1995

Abstruct-We consider the problem of approximating a smooth target function and its derivatives by networks involving superpositions and translations of a fixed activation function. The approximationâ€¦ (More)

- Anima Anandkumar, Joseph E. Yukich, Lang Tong, Ananthram Swami
- ArXiv
- 2008

The energy scaling laws of multihop data fusion networks for distributed inference are considered. The fusion network consists of randomly located sensors independently distributed according to aâ€¦ (More)

- Pawel Hitczenko, Svante Janson, Joseph E. Yukich
- Random Struct. Algorithms
- 1999

We show that the variance of the number of edges in the random sphere of innuence graph built on n i.i.d. sites which are uniformly distributed over the unit cube in R d , grows linearly with n. Thisâ€¦ (More)

- M. R. Brito, A. J. Quiroz, Joseph E. Yukich
- J. Multivariate Analysis
- 2013

Three graph theoretical statistics are considered for the problem of estimating the intrinsic dimension of a data set. The first is the â€˜â€˜reachâ€™â€™ statistic, r j,k, proposed in Brito et al. (2002) [4]â€¦ (More)

- Joseph E. Yukich
- Combinatorica
- 1996

- Anima Anandkumar, Joseph E. Yukich, Alan S. Willsky
- 2010 IEEE International Symposium on Informationâ€¦
- 2010

We consider spatial graphical models on random Euclidean points, applicable for data in sensor and social networks. We establish limit laws for general functions of the graphical model such as theâ€¦ (More)

- Anima Anandkumar, Ananthram Swami, Joseph E. Yukich, Lang Tong
- IEEE Journal on Selected Areas in Communications
- 2009

The energy scaling laws of multihop data fusion networks for distributed inference are considered. The fusion network consists of randomly located sensors distributed i.i.d. according to a generalâ€¦ (More)

- Bruno Ebner, Norbert Henze, Joseph E. Yukich
- J. Multivariate Analysis
- 2018

- T. Schreiber, Mathew D. Penrose, Joseph E. Yukich
- ArXiv
- 2006

Consider the random sequential packing model with infinite input and in any dimension. When the input consists of non-zero volume convex solids we show that the total number of solids accepted overâ€¦ (More)

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