112,855 research outputs found
A Direct Estimation Approach to Sparse Linear Discriminant Analysis
This paper considers sparse linear discriminant analysis of high-dimensional
data. In contrast to the existing methods which are based on separate
estimation of the precision matrix \O and the difference \de of the mean
vectors, we introduce a simple and effective classifier by estimating the
product \O\de directly through constrained minimization. The
estimator can be implemented efficiently using linear programming and the
resulting classifier is called the linear programming discriminant (LPD) rule.
The LPD rule is shown to have desirable theoretical and numerical properties.
It exploits the approximate sparsity of \O\de and as a consequence allows
cases where it can still perform well even when \O and/or \de cannot be
estimated consistently. Asymptotic properties of the LPD rule are investigated
and consistency and rate of convergence results are given. The LPD classifier
has superior finite sample performance and significant computational advantages
over the existing methods that require separate estimation of \O and \de.
The LPD rule is also applied to analyze real datasets from lung cancer and
leukemia studies. The classifier performs favorably in comparison to existing
methods.Comment: 39 pages.To appear in Journal of the American Statistical Associatio
Adaptive statistical pattern classifiers for remotely sensed data
A technique for the adaptive estimation of nonstationary statistics necessary for Bayesian classification is developed. The basic approach to the adaptive estimation procedure consists of two steps: (1) an optimal stochastic approximation of the parameters of interest and (2) a projection of the parameters in time or position. A divergence criterion is developed to monitor algorithm performance. Comparative results of adaptive and nonadaptive classifier tests are presented for simulated four dimensional spectral scan data
3D Pose Regression using Convolutional Neural Networks
3D pose estimation is a key component of many important computer vision tasks
such as autonomous navigation and 3D scene understanding. Most state-of-the-art
approaches to 3D pose estimation solve this problem as a pose-classification
problem in which the pose space is discretized into bins and a CNN classifier
is used to predict a pose bin. We argue that the 3D pose space is continuous
and propose to solve the pose estimation problem in a CNN regression framework
with a suitable representation, data augmentation and loss function that
captures the geometry of the pose space. Experiments on PASCAL3D+ show that the
proposed 3D pose regression approach achieves competitive performance compared
to the state-of-the-art
A Scalable Deep Neural Network Architecture for Multi-Building and Multi-Floor Indoor Localization Based on Wi-Fi Fingerprinting
One of the key technologies for future large-scale location-aware services
covering a complex of multi-story buildings --- e.g., a big shopping mall and a
university campus --- is a scalable indoor localization technique. In this
paper, we report the current status of our investigation on the use of deep
neural networks (DNNs) for scalable building/floor classification and
floor-level position estimation based on Wi-Fi fingerprinting. Exploiting the
hierarchical nature of the building/floor estimation and floor-level
coordinates estimation of a location, we propose a new DNN architecture
consisting of a stacked autoencoder for the reduction of feature space
dimension and a feed-forward classifier for multi-label classification of
building/floor/location, on which the multi-building and multi-floor indoor
localization system based on Wi-Fi fingerprinting is built. Experimental
results for the performance of building/floor estimation and floor-level
coordinates estimation of a given location demonstrate the feasibility of the
proposed DNN-based indoor localization system, which can provide near
state-of-the-art performance using a single DNN, for the implementation with
lower complexity and energy consumption at mobile devices.Comment: 9 pages, 6 figure
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