The main contributions of this thesis are the development and
application of four computationally efficient solutions for
least-squares-based (LS-based) minimum variance spectral estimation
(MVSE). They are: (1) fast computational solution for the 1-D
covariance LS-based MVSE, (2) fast computational solution for the
1-D modified covariance LS-based MVSE, (3) fast computational...
Large databases and data warehouses are becoming prevalent for the storage and management of energy data. Accelerating the rates at which data can be retrieved is beneficial not only to allow for more efficient search of the data, but also to be integrated with other energy system tools. In this...
Today's computer and network communication systems rely on authenticated and
secure transmission of information, which requires computationally efficient and
low bandwidth cryptographic algorithms. Among these cryptographic algorithms
are the elliptic curve cryptosystems which use the arithmetic of finite fields. Furthermore,
the fields of characteristic two are preferred since they provide...
Logic Sampling, Likelihood Weighting and AIS-BN are three variants of stochastic sampling, one class of approximate inference for Bayesian networks. We summarize the ideas underlying each algorithm and the relationship among them. The results from a set of empirical experiments comparing Logic Sampling, Likelihood Weighting and AIS-BN are presented. We...
Biologists need tools to see the structural relationships encoded in biological sequences (strings). The Walking Tree heuristics calculate some of these relationships. I have designed and implemented graphic presentations which allow the biologist (user) to see these relations. This thesis contains background information on the biological sequences and some background...
Approximate string matching is commonly used to align genetic sequences (DNA
or RNA) to determine their shared characteristics. In contrast with the standard
dynamic programming methods which use local edit distance models, the Walking
Tree heuristic method was created to handle non-local changes, e.g., translocations,
inversions, and duplications, altogether and...
The meaning of biological sequences is a central problem
of modern biology. Although string matching is well understood
in the edit-distance model, biological strings
with transpositions and inversions violate this model's
assumptions. To align biologically reasonable strings, we
proposed the Walking Tree Method [4,5,6,7,8], an
approximate string alignment method that...