We examine the collective behaviour of coupled Duffing Hamiltonian systems (HS) and show the existence of measure synchronization (MS) in the quasi-periodic (QP) and -chaotic states. We show that the dynamics of coupled Duffing Hamiltonians exhibit a transition to coherent invariant measure, their orbits sharing the same phase space as the coupling strength is increased. Transitions from QP mea...

We prove that a (globally) subanalytic function f : X ⊂ Qp → Qp which is locally Lipschitz continuous with some constant C is piecewise (globally on each piece) Lipschitz continuous with possibly some other constant, where the pieces can be taken to be subanalytic. We also prove the analogous result for a subanalytic family of functions fy : Xy ⊂ Qp → Qp depending on p-adic parameters. The stat...

Quadratic Programming (QP) is the well-studied problem of maximizing over {−1, 1} values the quadratic form ∑ i6=j aijxixj . QP captures many known combinatorial optimization problems, and assuming the unique games conjecture, semidefinite programming techniques give optimal approximation algorithms. We extend this body of work by initiating the study of Quadratic Programming problems where the...

Pothos & Busemeyer (P&B) provide a compelling case that quantum probability (QP) theory is a better match to human judgment than is classical probability (CP) theory. However, any theory (QP, CP, or other) phrased solely at the computational level runs the risk of being underconstrained. One suggestion is to ground QP accounts in mechanism, to leverage a wide range of process-level data.

Remark. Apropos of reduction mod p: If V is a Qp-vector space and G ⊂ GL(V ) is a compact subgroup, then there exists a G-fixed lattice in V for the following reason. Pick any lattice L ⊂ V . Then the G-stabilizer of L is open and of finite index. So Λ = ∑ g∈G gL ⊂ V is also a lattice, and it is definitely G-stable. The same works with coefficients in any finite extension of Qp, or even in Qp (...

Bipedal (Bp) locomotion is one of the most characteristic motor behaviors in human beings. Innate quadrupedal (Qp) four-legged animals also often walk bipedally. The walking posture, however, is significantly different between the two. This suggests that although both have a potential to walk bipedally, however, the human has a body scheme suitable for Bp locomotion, probably its skeletal syste...

Given a compact p-adic Lie group G over a finite unramified extension L/Qp let GL/Qp be the product over all Galois conjugates of G. We construct an exact and faithful functor from admissible G-Banach space representations to admissible locally L-analytic GL/Qp -representations that coincides with passage to analytic vectors in case L = Qp. On the other hand, we study the functor ”passage to an...

sequence method TS (%) BDPSNR (dB) BDBR (%) QP=16 QP=20 QP=24 QP=28 mobile qcif Jlee 2.0 6.6 14.4 28.1 -0.02 0.28 our 31.9 32.1 34.2 39.6 -0.04 0.70 hall qcif Jlee 2.0 5.3 28.4 43.5 0.00 -0.01 our 39.4 42.3 45.5 47.9 -0.03 0.94 container cif Jlee 8.1 39.7 48.1 53.9 0.03 -0.76 our 49.3 52.3 53.8 55.5 0.03 -0.79 coastguard cif Jlee 1.3 4.5 13.1 24.6 -0.02 0.30 our 31.3 30.6 32.1 34.4 -0.05 0.86 m...

Abstrac t Qualitative Process theory has been successfully used to model a variety of domain s and in exploring several qualitative reasoning tasks. However, there has been little explicit analysis of where and how it breaks down. The purpose of this paper is to look a t several ways in which QP theory (or implementations of it) currently fail in some way. Two concepts for classifying QP models...

Training a support vector machine (SVM) is usually done by mapping the underlying optimization problem into a quadratic programming (QP) problem. Unfortunately, high quality QP solvers are not readily available, which makes research into the area of SVMs difficult for the those without a QP solver. Recently, the Sequential Minimal Optimization algorithm (SMO) was introduced [1, 2]. SMO reduces ...