The relat ionship between the quality of state space reconst ruction and the accuracy in time series forecast ing is analyzed. The averaged scalar product of the dynamical system flowvectors has been used to give a degree of determinism to the selected state space reconst ruct ion. This value helps dist inguish between those regions of the state space where predictions will be accurate and thos...

The last few years were marked by an outburst of research devoted to the problem of reconstruction of quantum states for various physical systems (see, e.g., Ref. [?] for an extensive list of the literature on the subject). The problem, as stated already in the fifties by Fano [?] and Pauli [?], is to determine the density matrix ρ from information obtained by a set of measurements performed on...

We present a new method for fighting the state space explosion of process algebraic specifications, by performing static analysis on an intermediate format: linear process equations (LPEs). Our method consists of two steps: (1) we reconstruct the LPE’s control flow, detecting control flow parameters that were introduced by linearisation as well as those already encoded in the original specifica...

Takens ' theorem demonst ra tes that in the absence of noise a mult idimensional state space can be reconstructed from a scalar t ime series. This theorem gives little guidance, however, about practical considerations for reconstructing a good state space. We extend Takens ' t reatment , applying statistical methods to incorporate the effects of observational noise and estimation error. We defi...

We investigate the state space reconstruction from multiple time series derived from continuous and discrete systems and propose a method for building embedding vectors progressively using information measure criteria regarding past, current, and future states. The embedding scheme can be adapted for different purposes, such as mixed modeling, cross-prediction and Granger causality. In particul...

We provide a reconstruction of Blum and Furst’s Graphplan algorithm, and use the reconstruction to extend and improve the original algorithm in several ways. In our reconstruction, the process of growing the planning-graph and inferring mutex relations corresponds to doing forward state-space refinement over disjunctively represented plans. The backward search phase of Graphplan corresponds to ...

This paper describes a method for identifying a person while walking by means of a triaxial accelerometer attached to the waist. Human gait is considered as a dynamical system whose attractor is reconstructed by time delay vectors. A Spectral Analysis on the state space reconstruction is used to characterize the attractor. The method is compared to other common methods used in gait recognition ...

Conventional synthesis filters in subband systems lose their optimality when additive noise due, for example, to signal quantization, disturbs the subband components. The multichannel representation of subband signal is combined with the statistical model of input signal to derive the multirate state-space model for filter bank system with additive noises. Thus the signal reconstruction problem...