Structurally Robust Weak Continuity
| dc.contributor.author | Sidiropoulos, N.D. | en_US |
| dc.contributor.author | Baras, John S. | en_US |
| dc.contributor.author | Berenstein, Carlos A. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:59:43Z | |
| dc.date.available | 2007-05-23T09:59:43Z | |
| dc.date.issued | 1995 | en_US |
| dc.description.abstract | Building on earlier work, we pose the following optimization: Given a sequence of finite extent, find a finite-alphabet sequence of finite extent, which satisfies a hard structural (syntactic) constraint (e.g., it is piecewise constant of plateau run-length > M, or locally monotonic of a given lomo-degree), and which minimizes the sum of a per-letter fidelity measure, and a first-order smoothness-complexity measure. This optimization represents the unification and outgrowth of several digital nonlinear filtering schemes, including the digital counterpart of the so-called Weak Continuity (WC) formulation of Mumford-Shah and Blake-Zisserman, the Minimum Description Length (MDL) approach of Leclerc, and previous work by the first author in so- called VORCA filtering and Digital Locally Monotonic Regression. It is shown that the proposed optimization admits efficient Viterbi-type solution, and overcomes a shortcoming of WC, while preserving its unique strengths. Similarly, it overcomes a drawback of VORCA and Digital Locally Monotonic Regression, while maintaining robustness to outliers.<P> | en_US |
| dc.format.extent | 302288 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/5669 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1995-87 | en_US |
| dc.subject | nonlinear filtering | en_US |
| dc.subject | weak continuity | en_US |
| dc.subject | minimum description length | en_US |
| dc.subject | local monotonicity | en_US |
| dc.subject | principle of optimality | en_US |
| dc.subject | viterbi algorithm | en_US |
| dc.subject | Systems Integration Methodology | en_US |
| dc.title | Structurally Robust Weak Continuity | en_US |
| dc.type | Technical Report | en_US |
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