We present a new approach to molecular classification based on mRNA comparisons. Our method, referred to as the top-scoring pair(s) (TSP) classifier, is motivated by current technical and practical limitations in using gene expression microarray data for class prediction, for example to detect disease, identify tumors or predict treatment response. Accurate statistical inference from such data ...

n (M)} denote its ordered eigenvalues. A.1. Proof of Proposition 1 We will show that the matrix M⇤ specified in Figure 1a satisfies the conditions required by the proposition. It is easy to verify that M⇤ 2 CSST, so that it remains to prove the approximation-theoretic lower bound (4). In order to do so, we require the following auxiliary result: Lemma 1. Consider any matrix M that belongs to CP...

In multi-criteria decision making the decision maker need to assign weights to criteria for evaluation of alternatives, but decision makers usually find it difficult to assign precise weights to several criteria. On the other hand, decision makers may readily provide a number of preferences regarding the relative importance between two disjoint subsets of criteria. We extend a procedure by L. V...

In all industries, competition between business organizations is vital to utilize collaborative logistics for planning, forecasting and efficient customer response to optimize the supply chain. Consequently, numerous business organizations build coalitions among themselves making their partnerships

We introduce a two-alternative forced-choice (2AFC) experimental paradigm to quantify expressed emotions in music using the arousal and valence (AV) dimensions. A wide range of well-known audio features are investigated for predicting the expressed emotions in music using learning curves and essential baselines. We furthermore investigate the scalability issues of using 2AFC in quantifying emot...

We propose a novel parameterized family of Mixed Membership Mallows Models (M4) to account for variability in pairwise comparisons generated by a heterogeneous population of noisy and inconsistent users. M4 models individual preferences as a user-specific probabilistic mixture of shared latent Mallows components. Our key algorithmic insight for estimation is to establish a statistical connectio...

This paper recalls the definition of consistency for pairwise comparison matrices and briefly presents the concept of inconsistency index in connection to other aspects of the theory of pairwise comparisons. By commenting on a recent contribution by Koczkodaj and Szwarc, it will be shown that the discussion on inconsistency indices is far from being over, and the ground is still fertile for deb...

This paper tries to contribute to the well-known and lengthy discussion on whether we should allow decision makers to be inconsistent, or, to put it in another way, if intransitive decisions better represent their preferences. We will focus specifically on the multiple-criteria decision making problem, since it is one of the most usual stances where this intransitivity appears. Result from an e...

Pairwise comparisons can be used to equate two sets of educational performances. In this article, a simple method for the joint scaling or more assessment performances is described and illustrated. This applicable where scale student abilities has already been formed, extended include additional It requires subset scaled performances, which designated as core linking set purpose extension. The ...