Separable Representation of πNScattering Amplitudes

Separable and non-separable data representation for pattern discrimination

We provide a complete work-flow, based on the language of quantum information theory, suitable for processing data for the purpose of pattern recognition. The main advantage of the introduced scheme is that it can be easily implemented and applied to process real-world data using modest computation resources. At the same time it can be used to investigate the difference in the pattern recogniti...

Impact Representation of Generalized Distribution Amplitudes

We develop an impact representation for the generalized distribution amplitude which describes the exclusive hadronization of a quark-antiquark pair to a pair of mesons. Experiments such as γγ → ππ and γN → ππN ′ are shown to probe the transverse size of the hadronization region of the quark antiquark pair that one can interpret as the transverse overlap of the two emerging mesons. An astonishi...

Utility representation of lower separable preferences

Topological separability is crucial for the utility representation of a complete preference relation. When preferences are incomplete, this axiom has suitably de…ned counterparts: upper separability and lower separability (Ok (2002)). We consider the problem of representing an incomplete preference relation by means of a vector-valued utility function; we obtain representation results under the...

Faithful Representation Of Separable Input Distributions

A geometric approach to data representation incorporating informationtheoretic ideas is presented. The task of finding a faithful representation, where the input distribution is evenly partitioned into regions of equal mass, is addressed. For input consisting of mixtures of statistically independent sources, we treat independent component analysis (ICA) as a computational geometry problem. Firs...

A Link Representation for Gravity Amplitudes