Arturo Toscanini at NBC

Arturo Ferreira ,

The S region of the H-2 complex controls the serum levels of two proteins, Ss and Sip, which are closely related antigenically (1-4). Several observations suggest that the Ss protein may be part of the complement system and homologous to C4. F(ab')2 fragments of antibody to Ss inhibit the hemolytic activity of mouse serum (5) and Ss antigenic determinants are incorporated into immune complexes ...

Support Vector Machines Lecturer : Arturo Fernandez Scribe : Arturo Fernandez 1 Support Vector

Consider a binary classification prediction problem. Training data are given and we denote them observations as T = {X,y} = {xi, yi}i=1, where xi ∈ R, yi ∈ {+1,−1} (accordingly X ∈ Rm×n). First, we will consider the case where the two classes are linearly separable. That is, by an n-dimensional decision boundary which is the result of an n + 1-dimensional hyperplane). Furthermore, since there c...

C-NBC: Neighborhood-Based Clustering with Constraints

Clustering is one of most important methods of data mining. It is used to identify unknown yet interesting and useful patterns or trends in datasets. There are different types of clustering algorithms such as partitioning, hierarchical, grid and density-based. In general, clustering methods are considered unsupervised, however, in recent years the new branch of clustering algorithms has emerged...

Henriques - Normark Normark , Arturo Zychlinsky and Birgitta

A Generalization of Rota's NBC Theorem

We generalize Rota's theorem characterizing the Mobius function of a geometric lattice in terms of subsets of atoms containing no broken circuit and give applications to the weak Bruhat order of a nite Coxeter group and the Tamari lattices. We also give a direct proof of the fact that in the geometric case any total order of the atoms can be used. Simple involutions are used in both proofs. Fi...