The set of codewords for a standard error-correcting code can be viewed
as subset of the vertices of a hypercube. Two vertices are adjacent in a hypercube exactly when their Hamming distance is 1. A code is a perfect-error-correcting code if no two codewords are adjacent and every non-codeword is...
Basic biological information is stored in strings of nucleic acids (DNA, RNA) or amino acids
(proteins). Teasing out the meaning of these strings is a central problem of modern biology. Matching and
aligning strings brings out their shared characteristics. Although string matching is well-understood in the
edit-distance model, biological strings...
One dimensional nonlinear difference equations have been used to model population growth. The standard biological models have the interesting characteristic that
they display global stability if they display local stability. Various researchers have sought
a simple explanation for this agreement of local and global stability. Here, we show that
enveloping...
This paper introduces the even-odd POMDP, an approximation to POMDPs in which the world is assumed to be fully observable every other time step. The even-odd POMDP can be converted into an equivalent MDP, the
2MDP, whose value function, V*[subscript 2MDP], can be combined online with a 2-step lookahead search...
Many machine learning applications require
classifiers that minimize an asymmetric cost
function rather than the misclassification
rate, and several recent papers have addressed
this problem. However, these papers
have either applied no statistical testing
or have applied statistical methods that are
not appropriate for the cost-sensitive setting.
Without good statistical...
We present a meta-model as a process maturity framework that can be effectively used to
identify the key practices to initiate and sustain a software process improvement effort
focused on a single process area. Our approach moves away from the overall software
development process and computation of maturity levels and...
This paper reports on an empirical study involving end users that addresses the question of whether it is possible to provide the benefits of formal testing within the informal spreadsheet paradigm. We have developed a "What You See Is What You Test" (WYSIWYT) methodology that brings the benefits of formal...
It is well known that the Fibonacci numbers can be expressed in the
form Round {1/√5 λ₀[superscript n]} where λ₀ = (1 + √5)/2. [Knu75] We look at integer sequences which are solutions to non-negative difference equations and show that if the equation is 1-Bounded then the solution can be...
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...
Many software maintenance problems are caused by using text editors to change programs. A more systematic and reliable way of performing program updates is to express changes with an update language. In particular, updates should preserve the syntax- and type-correctness of the transformed object programs. We describe an update calculus...