Let N , N1 and N2 be point processes such that N1 is obtained from N by homogeneous independent thinning and N2 = N −N1. We give a new elementary proof that N1 and N2 are independent if and only if N is a Poisson point process. We present some applications of this result to test if a homogeneous point process is a Poisson point process.

To process a spatiotemporal pattern, a short-term memory (STM) is needed to maintain the pattern over time. In general, a STM for storing a temporal sequence of input items should possess characteristics such as acting as a rst-in-rst-out buuer, storing multiple items of the same type, and encoding interval-invariant and rate-invariant representations of the input items. Some of these character...

Multivoxel pattern analysis (MVPA) has gained enormous popularity in the neuroimaging community over the past few years. At the group level, most MVPA studies adopt an "information based" approach in which the sign of the effect of individual subjects is discarded and a non-directional summary statistic is carried over to the second level. This is in contrast to a directional "activation based"...

(2) ε∆uε + f(uε) = 0, x ∈ Ω, Bu = 0, x ∈ ∂Ω, where ε > 0 is a small parameter, Ω is a smooth bounded domain in Rn, and Bu is an appropriate boundary condition. The connection of (1) and (2) are made by a typical technique called blowup method. Suppose that {uε} is a family of solutions of (2). The simplest setup of the blowup method is to choose Pε ∈ Ω, and define vε(y) = uε(εy + Pε), for y ∈ Ω...

The theory is der~ved in several stages ([1], [.4], [9], [10]). Each stage exhibits the minim:11 systems that are compatible with a given list of psychological postulates. Successive stages refine either the dynamical'"equations themselves, or the synthesis of netw:)rk COIU1ections, to satisfy additional postulates. This paper reviews the derivation of stage one, for completeness, and proves tw...

We consider spatiotemporal systems and study their l∞ and l2 robustness properties in the presence of spatiotemporal perturbations. In particular, we consider spatially invariant nominal models and provide necessary and sufficient conditions for system robustness for the cases when the underlying perturbations are linear spatiotemporal varying, and nonlinear spatiotemporal invariant, unstructur...

Continuous images include a very large quantity of data. Their processing for JD information acquisition takes too much time. As a method for decreasing the quantity of continuous image data and processing time, the tramformation of 3 0 spatiotemporal image into 2 0 spatiotemporal image for 3 0 information acquisition has been ~tudied. In this paper, we first discuss the creation of 2 0 spatiot...

In order to discover multi-dimensional spatiotemporal association patterns, and improve the efficiency of traditional mining algorithms for spatiotemporal association patterns, this paper firstly constructs a star association model based on event, which can show more spatiotemporal information on the basis of the present star association model. Besides traditional attributes association with po...

We study the spatiotemporal correlation in natural time-varying images and explore the hypothesis that the visual system is concerned with the optimal coding of visual representation through spatiotemporal decorrelation of the input signal. Based on the measured spatiotemporal power spectrum, the transform needed to decorrelate input signal is derived analytically and then compared with the act...

Two-stream Convolutional Networks (ConvNets) have shown strong performance for human action recognition in videos. Recently, Residual Networks (ResNets) have arisen as a new technique to train extremely deep architectures. In this paper, we introduce spatiotemporal ResNets as a combination of these two approaches. Our novel architecture generalizes ResNets for the spatiotemporal domain by intro...