The space complexity of approximating the frequency moments
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
SIGMOD '97 Proceedings of the 1997 ACM SIGMOD international conference on Management of data
Wavelet-based histograms for selectivity estimation
SIGMOD '98 Proceedings of the 1998 ACM SIGMOD international conference on Management of data
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Introduction to Algorithms
An evaluation of multi-resolution storage for sensor networks
Proceedings of the 1st international conference on Embedded networked sensor systems
Approximate Aggregation Techniques for Sensor Databases
ICDE '04 Proceedings of the 20th International Conference on Data Engineering
Distributed regression: an efficient framework for modeling sensor network data
Proceedings of the 3rd international symposium on Information processing in sensor networks
TAG: a Tiny AGgregation service for Ad-Hoc sensor networks
OSDI '02 Proceedings of the 5th symposium on Operating systems design and implementationCopyright restrictions prevent ACM from being able to make the PDFs for this conference available for downloading
Beyond average: toward sophisticated sensing with queries
IPSN'03 Proceedings of the 2nd international conference on Information processing in sensor networks
The generalized distributive law
IEEE Transactions on Information Theory
Random distributed multiresolution representations with significance querying
Proceedings of the 5th international conference on Information processing in sensor networks
CASES '06 Proceedings of the 2006 international conference on Compilers, architecture and synthesis for embedded systems
MEMMU: Memory expansion for MMU-less embedded systems
ACM Transactions on Embedded Computing Systems (TECS)
A wavelet transform for efficient consolidation of sensor relations with quality guarantees
Proceedings of the VLDB Endowment
An algorithmic strategy for in-network distributed spatial analysis in wireless sensor networks
Journal of Parallel and Distributed Computing
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We consider the in-network computation of approximate "big picture" summaries in bandwidth-constrained sensor networks. First we review early work on computing the Haar wavelet decomposition as a User-Defined Aggregate in a sensor query engine. We argue that this technique can be significantly improved by choosing a function-specific network topology. We generalize this discussion to a loose definition of a 2-level optimization problem that maps from a function to what we call a support graph for the function, and from there to an aggregation tree that is chosen from possible subgraphs of the physical network connectivity. This work is frankly quite preliminary: we raise a number of questions but provide relatively few answers. The intent of the paper is to lay groundwork for discussion and further research.