This paper presents a method to automatically acquire a given noun’s telic and agentive roles from corpus data. These relations form part of the qualia structure assumed in the generative lexicon, where the telic role represents a typical purpose of the entity and the agentive role represents the origin of the entity. Our proposed method employs a supervised machine-learning technique which mak...

In this paper we study bipartite quantum correlations using techniques from tracial polynomial optimization. We construct a hierarchy of semidefinite programming lower bounds on the minimal entanglement dimension of a bipartite correlation. This hierarchy converges to a new parameter: the minimal average entanglement dimension, which measures the amount of entanglement needed to reproduce a qua...

In this paper, we propose three new tensor decompositions for even-order tensors corresponding respectively to the rank-one decompositions of some unfolded matrices. Consequently such new decompositions lead to three new notions of (even-order) tensor ranks, to be called the M-rank, the symmetric M-rank, and the strongly symmetric M-rank in this paper. We discuss the bounds between these new te...

High dimensional probabilistic models are often formulated as belief nets (BN’s), that is, as directed acyclic graphs with nodes representing random variables and arcs representing “influence”. BN’s are conditionalized on incoming information to support probabilistic inference in expert system applications. For continuous random variables, an adequate theory of BN’s exists only for the joint no...

We have developed a general approach for the calculation of the single molecule polarization correlation function C(t), which delivers a correlation of the emission dichroisms at time 0 and t. The approach is model independent and valid for general asymmetric top molecules. The key dynamic quantities of our analysis are the even-rank orientational correlation functions, the weighted sum of whic...

OBJECTIVES To examine the relationship between ordinal and cardinal valuation of health states. STUDY DESIGN AND SETTING We analyzed rank, visual analog scale (VAS), and time trade-off (TTO) responses for 52 health states defined using the EQ-5D classification system developed by the EuroQol Group. We analyzed 179,431 responses from 11,483 subjects in eight countries: Slovenia, Argentina, Den...

In order to detect correlation of Gaussian signals, linear, rank, and sign correlation are developed. Magnitude of correlation coefficients, significance, and two-sided significance are computed and compared for each test. Programs are written as macro files, in c++, that are run in ROOT. Efficiencies of correlation tests are calculated resulting in a relative length equation, and methods of ac...