LLE(Local linear embedding) is a widely used approach for dimension reduction. The neighborhood selection is an important issue for LLE. In this paper, the ε-distance approach and a slightly modified version of k-nn method are introduced. For different types of datasets, different approaches are needed in order to enjoy higher chance to obtain better representation. For some datasets with compl...

Locally linear embedding (LLE) is a recently proposed method for unsupervised nonlinear dimensionality reduction. It has a number of attractive features: it does not require an iterative algorithm, and just a few parameters need to be set. Two extensions of LLE to supervised feature extraction were independently proposed by the authors of this paper. Here, both methods are unified in a common f...

The prediction method of the isobaric vapor-liquid-liquid equilibria (VLLE) data for the system ethanol-water-1-butanol and ethanol-2-butanol-water was studied. The parameters for the activity coefficients models were determined from the constituent binary VLE data. With the parameters, the isobaric ternary VLLE data were predicted and compared with the experimental ones obtained in our previou...

Since the introduction of LLE (Roweis and Saul, 2000) and Isomap (Tenenbaum et al., 2000), a large number of non-linear dimensionality reduction techniques (manifold learners) have been proposed. Many of these non-linear techniques can be viewed as instantiations of Kernel PCA; they employ a cleverly designed kernel matrix that preserves local data structure in the “feature space” (Bengio et al...

Current practice in Quantitative Structure Activity Relationship (QSAR) methods usually involves generating a great number of chemical descriptors and then cutting them back with variable selection techniques. Variable selection is an effective method to reduce the dimensionality but may discard some valuable information. This paper introduces Locally Linear Embedding (LLE), a local non-linear ...

LLE Review, Volume 72 161 The Laboratory for Laser Energetics (LLE) with its OMEGA facility is part of the national laser-fusion effort within the U.S. Department of Energy and has as its main mission direct-drive laser-fusion research in support of the upcoming National Ignition Facility (NIF) at the Lawrence Livermore National Laboratory (LLNL). The upgraded OMEGA laser system has been in ope...

LLE Review, Volume 69 1 The ultimate goal of the LLE uniformity program is to reduce the rms laser-irradiation nonuniformity to the 1%–2% level, which is required for cryogenic implosion experiments on OMEGA. The combination of distributed phase plates (DPP’s), two-dimensional (2-D) smoothing by spectral dispersion (SSD), polarization wedges, and beam overlap should be sufficient to reach this ...

In this report, the student presents her study on a multivariate visualization task. Specifically, the student would like to learn the use of Locally Linear Embedding (LLE) for visualization. While the experiment is using Wisconsin Breast Cancer dataset, the method is more generally applicable to other high-dimensional data as well. Three experiments were run to visualize the dataset. The three...

Major advances in laser technology at LLE have included the demonstration of high-efficiency frequency doubling and tripling of fusion lasers1 and the development of short-pulse, chirped-pulse-amplification (CPA) lasers2 These technologies were combined a few years ago with the demonstration of 75% efficient frequency doubling of 1.6-ps laser pulses on the CPA T~ (table-top terawatt) system at ...

Démocratie et écologie ne sont pas seulement conciliables. La philosophe Joëlle Zask les tient pour indissociables dans l’expérience d’être au monde en pleine responsabilité.