•All have the property that E[θn+1 | θn] = θn. •Called the martingale property •Philosophically desirable because it means that information is preserved as we move down the hierarchy •Theorem (Doob): All non-negative martingale sequences have a limit with probability 1. θn+1 | θn ∼ DP(cθn), θn+1 | θn ∼ BP(cθn), θn+1 | θn ∼ GammaP(cθn), θn+1 | θn ∼ PYP(cθn) Pathological Properties of Deep Bayesi...

In order to create a Grid infrastructure using ARC-enabled computing resources, information description and aggregation services need to be deployed. ARIS is coupled to a computing resource and collects information about it. EGIIS keeps a list of ARIS instances, and eventually, of other EGIIS instances lower down in hierarchy. Top-level EGIIS instances thus serve as an entry point to the Grid, ...

Decision trees have provided a classical mechanism for progressively narrowing down a search from a large group of possibilities to a single alternative. The structuring of a decision tree is based on a heuristic that maximizes the value of the information gained at each level in the hierarchy. Decision trees are effective when an agent needs to reach the goal of complete diagnosis as quickly a...

In recent times, there has been considerable interest in the potential advantages of decentralised “Edge” organisations. In order to investigate the potential costs and benefits of such organisational structures for Command and Control (C2), we have combined organisational simulation with a novel tree rewiring process that creates a spectrum of organisational structures ranging from a pure hier...

The expressive power of compositions of linear extended topdown tree transducers with and without regular look-ahead is investigated. In particular, the restrictions of ε-freeness, strictness, and nondeletion are considered. The composition hierarchy is finite for all ε-free variants of these transducers except for ε-free nondeleting linear extended top-down tree transducers. The least number o...

Incremental conceptual clustering is an important area of machine learning. It is concerned with summarizing data in a form of concept hierarchies, which will eventually ease the problem of knowledge acquisition for knowledge-based systems. In this paper we have described INC, a program that generates a hierarchy of concept descriptions incrementally. INC searches a space of classification hier...

Current models of object recognition generally assume a bottom-up process within a hierarchy of stages. As an alternative, we present a top-down modulation of the processed stimulus information to allow a goal-directed detection of objects within natural scenes. Our procedure has its origin in current findings of research in attention which suggest that feedback enhances cells in a feature-spec...

We calculate the quark flavor mixing matrix V based on Hermitian mass matrices Mu and Md with vanishing (1,1), (1,3) (3,1) entries. The popular leading-order prediction |Vub/Vcb|≃mu/mc is significantly modified, result agrees current experimental value. find that behind strong hierarchy of up- or down-type quarks weak texture characterized by an approximate seesaw-like relation among its (2,2),...

This talk reviews some recent results on the NLL resummed smallx gluon splitting function, as determined including renormalisation-group improvements. It also discusses the observation that the LO, NLO, NNLO, etc. hierarchy for the gluon splitting function breaks down not when αs ln 1/x ∼ 1 but rather for αs ln 2 1/x ∼ 1. It is well-known that the resummation of leading-logarithms of x (LLx) [1...

A large hierarchy of the Dirac masses can result in a small hierarchy for the low energy masses of the active neutrinos. This can happen even if the Majorana masses of right-handed neutrinos are all equal. A realistic description of the observed neutrino masses and mixing can be obtained starting from a large hierarchy in the Dirac masses. A large mixing for solar neutrinos results from the neu...