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Decoding by Linear Programming

by Emmanuel J. Candès, Terence Tao , 2004
"... This paper considers the classical error correcting problem which is frequently discussed in coding theory. We wish to recover an input vector f ∈ Rn from corrupted measurements y = Af + e. Here, A is an m by n (coding) matrix and e is an arbitrary and unknown vector of errors. Is it possible to rec ..."
Abstract - Cited by 1399 (16 self) - Add to MetaCart
fraction of the output is corrupted. This work is related to the problem of finding sparse solutions to vastly underdetermined systems of linear equations. There are also significant connections with the problem of recovering signals from highly incomplete measurements. In fact, the results introduced

Linear Output Feedback Compensation of Rank One Systems

by William Wolovich
"... A new method is presented for arbitrarily assigning the closed-loop poles of a linear MIMO system using linear output feedback. The method employs a new notion of rank one system representations, and involves the use of state transformation matrices which preserve such representations while reducing ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
A new method is presented for arbitrarily assigning the closed-loop poles of a linear MIMO system using linear output feedback. The method employs a new notion of rank one system representations, and involves the use of state transformation matrices which preserve such representations while

Multivariable Feedback Control: Analysis

by Sigurd Skogestad, Ian Postlethwaite - span (B∗) und Basis B∗ = { ω1 , 2005
"... multi-input, multi-output feed-back control design for linear systems using the paradigms, theory, and tools of robust con-trol that have arisen during the past two decades. The book is aimed at graduate students and practicing engineers who have a basic knowledge of classical con-trol design and st ..."
Abstract - Cited by 564 (24 self) - Add to MetaCart
multi-input, multi-output feed-back control design for linear systems using the paradigms, theory, and tools of robust con-trol that have arisen during the past two decades. The book is aimed at graduate students and practicing engineers who have a basic knowledge of classical con-trol design

Sparse coding with an overcomplete basis set: a strategy employed by V1

by Bruno A. Olshausen, David J. Fieldt - Vision Research , 1997
"... The spatial receptive fields of simple cells in mammalian striate cortex have been reasonably well described physiologically and can be characterized as being localized, oriented, and ban@ass, comparable with the basis functions of wavelet transforms. Previously, we have shown that these receptive f ..."
Abstract - Cited by 958 (9 self) - Add to MetaCart
for representing a given input, and so the input-output function will deviate from being purely linear. These deviations from linearity provide a potential explanation for the weak forms of non-linearity observed in the response properties of cortical simple cells, and they further make predictions about

The Design and Use of Steerable Filters

by William T. Freeman, Edward H. Adelson - IEEE Transactions on Pattern Analysis and Machine Intelligence , 1991
"... Oriented filters are useful in many early vision and image processing tasks. One often needs to apply the same filter, rotated to different angles under adaptive control, or wishes to calculate the filter response at various orientations. We present an efficient architecture to synthesize filters of ..."
Abstract - Cited by 1089 (11 self) - Add to MetaCart
of arbitrary orientations from linear combinations of basis filters, allowing one to adaptively "steer" a filter to any orientation, and to determine analytically the filter output as a function of orientation.

Raptor codes

by Amin Shokrollahi - IEEE Transactions on Information Theory , 2006
"... LT-Codes are a new class of codes introduced in [1] for the purpose of scalable and fault-tolerant distribution of data over computer networks. In this paper we introduce Raptor Codes, an extension of LT-Codes with linear time encoding and decoding. We will exhibit a class of universal Raptor codes: ..."
Abstract - Cited by 577 (7 self) - Add to MetaCart
LT-Codes are a new class of codes introduced in [1] for the purpose of scalable and fault-tolerant distribution of data over computer networks. In this paper we introduce Raptor Codes, an extension of LT-Codes with linear time encoding and decoding. We will exhibit a class of universal Raptor codes

Spatio-temporal energy models for the Perception of Motion

by Edward H. Adelson, James R. Bergen - J. OPT. SOC. AM. A , 1985
"... A motion sequence may be represented as a single pattern in x-y-t space; a velocity of motion corresponds to a three-dimensional orientation in this space. Motion sinformation can be extracted by a system that responds to the oriented spatiotemporal energy. We discuss a class of models for human mot ..."
Abstract - Cited by 904 (9 self) - Add to MetaCart
motion mechanisms in which the first stage consists of linear filters that are oriented in space-time and tuned in spatial frequency. The outputs of quadrature pairs of such filters are squared and summed to give a measure of motion energy. These responses are then fed into an opponent stage. Energy

Learning to detect natural image boundaries using local brightness, color, and texture cues

by David R. Martin, Charless C. Fowlkes, Jitendra Malik - PAMI , 2004
"... The goal of this work is to accurately detect and localize boundaries in natural scenes using local image measurements. We formulate features that respond to characteristic changes in brightness, color, and texture associated with natural boundaries. In order to combine the information from these fe ..."
Abstract - Cited by 625 (18 self) - Add to MetaCart
these features in an optimal way, we train a classifier using human labeled images as ground truth. The output of this classifier provides the posterior probability of a boundary at each image location and orientation. We present precision-recall curves showing that the resulting detector significantly

Achieving 100% Throughput in an Input-Queued Switch

by Nick McKeown, Adisak Mekkittikul, Venkat Anantharam, Jean Walrand - IEEE TRANSACTIONS ON COMMUNICATIONS , 1996
"... It is well known that head-of-line (HOL) blocking limits the throughput of an input-queued switch with FIFO queues. Under certain conditions, the throughput can be shown to be limited to approximately 58%. It is also known that if non-FIFO queueing policies are used, the throughput can be increas ..."
Abstract - Cited by 527 (27 self) - Add to MetaCart
be increased. However, it has not been previously shown that if a suitable queueing policy and scheduling algorithm are used then it is possible to achieve 100% throughput for all independent arrival processes. In this paper we prove this to be the case using a simple linear programming argument

Estimating the number of clusters in a dataset via the Gap statistic

by Robert Tibshirani, Guenther Walther, Trevor Hastie , 2000
"... We propose a method (the \Gap statistic") for estimating the number of clusters (groups) in a set of data. The technique uses the output of any clustering algorithm (e.g. k-means or hierarchical), comparing the change in within cluster dispersion to that expected under an appropriate reference ..."
Abstract - Cited by 502 (1 self) - Add to MetaCart
We propose a method (the \Gap statistic") for estimating the number of clusters (groups) in a set of data. The technique uses the output of any clustering algorithm (e.g. k-means or hierarchical), comparing the change in within cluster dispersion to that expected under an appropriate reference
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