Can Visibility Graphs Be Represented Compactly?.
We consider the internal rate of return (IRR) decision rule in capital budgeting problems with fuzzy cash flows. The possibility distribution of the IRR at any r ≥ 0, is defined to be the degree of possibility that the (fuzzy) net present value of the project with discount factor r equals to zero. Generalizing our earlier results on fuzzy capital budegeting problems [Car99] we show that the possibility distribution of the {IRR} is a highly nonlinear function which is getting more and more unbalanced...
We propose a multistage recognition method built as a cascade of a linear parametric model and a -nearest neighbor (-NN) nonparametric classifier. The linear model learns a “rule” and the -NN learns the “exceptions” rejected by the “rule.” Because the rule-learner handles a large percentage of the examples using a simple and general rule, only a small subset of the training set is stored as exceptions during training. Similarly during testing, most patterns are handled by the rule -learner and...
The article formalizes the Cayley's theorem saying that every group G is isomorphic to a subgroup of the symmetric group on G.