Browsing Computer Science and Artificial Intelligence Lab (CSAIL) by Subject "regularization"
Now showing items 1-10 of 10
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Asymptotics of Gaussian Regularized Least-Squares
(2005-10-20)We consider regularized least-squares (RLS) with a Gaussian kernel. Weprove that if we let the Gaussian bandwidth $\sigma \rightarrow\infty$ while letting the regularization parameter $\lambda\rightarrow 0$, the RLS solution ...
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Bagging Regularizes
(2002-03-01)Intuitively, we expect that averaging --- or bagging --- different regressors with low correlation should smooth their behavior and be somewhat similar to regularization. In this note we make this intuition precise. ...
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Computing Visible-Surface Representations
(1985-03-01)The low-level interpretation of images provides constraints on 3D surface shape at multiple resolutions, but typically only at scattered locations over the visual field. Subsequent visual processing can be facilitated ...
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Elastic-Net Regularization in Learning Theory
(2008-07-24)Within the framework of statistical learning theory we analyze in detail the so-called elastic-net regularization scheme proposed by Zou and Hastie ["Regularization and variable selection via the elastic net" J. R. Stat. ...
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Extensions of a Theory of Networks for Approximation and Learning: Dimensionality Reduction and Clustering
(1990-04-01)The theory developed in Poggio and Girosi (1989) shows the equivalence between regularization and a class of three-layer networks that we call regularization networks or Hyper Basis Functions. These networks are also ...
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Learning a Color Algorithm from Examples
(1987-06-01)We show that a color algorithm capable of separating illumination from reflectance in a Mondrian world can be learned from a set of examples. The learned algorithm is equivalent to filtering the image data---in which ...
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Networks and the Best Approximation Property
(1989-10-01)Networks can be considered as approximation schemes. Multilayer networks of the backpropagation type can approximate arbitrarily well continuous functions (Cybenko, 1989; Funahashi, 1989; Stinchcombe and White, 1989). We ...
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On Edge Detection
(1984-08-01)Edge detection is the process that attempts to characterize the intensity changes in the image in terms of the physical processes that have originated them. A critical, intermediate goal of edge detection is the detection ...
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Predictive identification of alternative events conserved in human and mouse
(2004-09-30)Alternative pre-messenger RNA splicing affects a majority of human genes and plays important roles in development and disease. Alternative splicing (AS) events conserved since the divergence of human and mouse are likely ...
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Regularization Theory and Shape Constraints
(1986-09-01)Many problems of early vision are ill-posed; to recover unique stable solutions regularization techniques can be used. These techniques lead to meaningful results, provided that solutions belong to suitable compact ...