The most widely used guaranteed methods for global optimization are probably the interval-based branch-and-bound techniques. In these techniques, we start with a single box { the entire function domain { as a possible location of the global minimizer points, and then, in each step, subdivide some of the boxes, use interval computations to compute the enclosure F (X); F(X)] f(X) of the range f(X...

The most widely used guaranteed methods for global optimization are interval-based branch-and-bound techniques. In these techniques , we start with a single box { the entire function domain { as a possible location of the global minimum, and then, of each step, subdivide some of the boxes, use interval computations to compute the enclosure F (X); F(X)] f(X) for the range f(X) of the optimized f...

We generalize Chirikov's resonance-overlap criterion for the onset of global chaos in Hamiltonian systems to describe the onset of chaotic attractors in weakly dissipative systems.

This paper establishes a new criterion for global existence and nonexistence of positive solutions of the non-local degenerate parabolic system ut = v p ( ∆u+ a ∫

OBJECTIVE Despite showing acceptable psychometric properties, the criterion validity of the original Fibromyalgia Rapid Screening Tool (FiRST) has been called into question for including insufficiently challenging comparison groups. Consequently our objective was to validate a Spanish version of the FiRST including pain disorders more analogous to fibromyalgia. METHODS The FiRST was translate...

This talk addresses the questions of quantifying how good global fits are, and of how we would know a theory is wrong; it summarizes our Ref. . The obvious criterion is that of hypothesis testing: χ = N ±√2N for a good fit with N degrees of freedom. One should also apply the same criterion to subsets of data (e.g., from a particular experiment or reaction), for which the normal range is χi = Ni...

We consider a particular instance of reflection of shock waves in selfsimilar compressible flow. We prove that local self-similar regular reflection (RR) cannot always be extended into a global flow. Therefore the detachment criterion is not universally correct. More precisely, consider the following angle condition: the tangent of the strong-type reflected shock meets the opposite wall at a sh...

This paper presents a theoretical basis for global transaction scheduling to maintain global serializability in multidatabase systems. Three correctness criteria. are formulated to utilize the intrinsic characteristics of global transactions at the global level to determine the serialization order of global subtransa.ctions at each local site. In particular, two new types of serializability, ch...

We recently discovered novel discriminative training criteria following a principled approach. In this approach training criteria are developed from error bounds on the global error for pattern classification tasks that depend on non-trivial loss functions. Automatic speech recognition (ASR) is a prominent example for such a task depending on the non-trivial Levenshtein loss. In this context, t...