Property-Preserving Data Reconstruction

We initiate a new line of investigation into online property-preserving data reconstruction. Consider a dataset which is assumed to satisfy various (known) structural properties; e.g., it may consist of sorted numbers, or points on a manifold, or vectors in a polyhedral cone, or codewords from an error-correcting code. Because of noise and errors, however, an (unknown) fraction of the data is deemed unsound, i.e., in violation with the expected structural properties. Can one still query into the dataset in an online fashion and be provided data that is always sound? In other words, can one design a filter which, when given a query to any item I in the dataset, returns a sound item J that, although not necessarily in the dataset, differs from I as infrequently as possible. No preprocessing should be allowed and queries should be answered online. We consider the case of a monotone function. Specifically, the dataset encodes a function f : {1,...,n} → R that is at (unknown) distance �...

• Type: Conference
• Year: 2004
• Where: ISAAC
• Authors: Nir Ailon, Bernard Chazelle, Seshadhri Comandur, Ding Liu
• Keywords: Dataset, ISAAC 2004, Property-preserving Data Reconstruction, Structural Properties