High-confidence predictions under adversarial uncertainty

Abstract

We study the setting in which the bits of an unknown infinite binary sequence x are revealed sequentially to an observer. We show that very limited assumptions about x allow one to make successful predictions about unseen bits of x . First, we study the problem of successfully predicting a single 0 from among the bits of x . In our model, we have only one chance to make a prediction, but may do so at a time of our choosing. This model is applicable to a variety of situations in which we want to perform an action of fixed duration, and need to predict a “safe” time-interval to perform it.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 01, 2013
Source ID
10.1145/2493252.2493257

Entities

People

  • Andrew Drucker

Organizations

  • Defense Advanced Research Projects Agency
  • Division of Computing and Communication Foundations
  • Massachusetts Institute of Technology
  • National Science Foundation Division of Mathematical Sciences

Tags

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Educational Psychology
  • Mathematical Modeling and Probability Theory.