A few kinematic synergies identified by principal component analysis (PCA) account for most of the variance in the coordinated joint rotations of the fingers and wrist used for a wide variety of hand movements. To examine the possibility that motor cortex might control the hand through such synergies, we collected simultaneous kinematic and neurophysiological data from monkeys performing a reac...

Accurate load forecasting is an important issue for the reliable and efficient operation of a power system. In this study, hybrid algorithm (EMDIA) that combines empirical mode decomposition (EMD), isometric mapping (Isomap), Adaboost to construct prediction mid- long-term developed. Based on full consideration meteorological economic factors affecting trend, EMD method used decompose its influ...

Topological Stability Tenenbaum et al. (1) presented an algorithm, Isomap, for computing a quasi-isometric, low-dimensional embedding of a set of high-dimensional data points. Two issues need to be raised concerning this work. First, the basic approach presented by Tenenbaum et al. is not new, having been described in the context of flattening cortical surfaces using geodesic distances and mult...

Many successful clustering techniques fail to handle data with a manifold structure, i.e. data that is not shaped in the form of compact point clouds, forming arbitrary shapes or paths through a high-dimensional space. In this paper we present a new method to evaluate distances in such spaces that naturally extend the application of many clustering algorithms to these cases. Our algorithm has t...

Locally Linear Embedding (LLE) and Isomap are two frameworks to process and analyze highdimensional non-linear data domains, such as time and spatial series images. These techniques allow the creation of low-dimensional embeddings of the original data that are much easier to visualize and work with than the initial, high-dimensional data. In particular, the dimensionality of such embeddings is ...

In this file, I show more results and examples from the paper “H-plots for displaying non-metric dissimilarity matrices”, together with more illustrative results on other databases: an image database of handwritten “3”s, the classical Iris data set, and the Swiss roll dataset, considered in Tenenbaum et al. [16] and Roweis and Saul [12]. Each database corresponds to a different section. This wo...

Social organisms at every level of evolutionary complexity live in groups, such as fish schools, locust swarms, and bird flocks. The complex exchange of multifaceted information across group members may result in a spectrum of salient spatiotemporal patterns characterizing collective behaviors. While instances of collective behavior in animal groups are readily identifiable by trained and untra...