Bisection Search with Noisy Responses
نویسندگان
چکیده
منابع مشابه
Bisection Search with Noisy Responses
Bisection search is the most efficient algorithm for locating a unique point X∗ ∈ [0, 1] when we are able to query an oracle only about whether X∗ lies to the left or right of a point x of our choosing. We study a noisy version of this classic problem, where the oracle’s response is correct only with probability p. The probabilistic bisection algorithm (PBA) introduced by Horstein [IEEE Trans. ...
متن کاملSearch with Noisy and Delayed Responses
It is well–known that search problems with a stochastic response matrix acting independently for the questions can be equivalently formulated as transmission problems for a discrete memoryless channel (DMC) with feedback. This is explained in Chapter 3 of the book Search Problems by R. Ahlswede and I. Wegener (Wiley 1987, translation of Suchprobleme, Teubner 1979). There also Ahlswede’s coding ...
متن کاملConnecting Yule Process, Bisection and Binary Search Tree via Martingales
We present new links between some remarkable martingales found in the study of the Binary Search Tree or of the bisection problem, looking at them on the probability space of a continuous time binary branching process.
متن کاملNoisy Search with Comparative Feedback
We present theoretical results in terms of lower and upper bounds on the query complexity of noisy search with comparative feedback. In this search model, the noise in the feedback depends on the distance between query points and the search target. Consequently, the error probability in the feedback is not fixed but varies for the queries posed by the search algorithm. Our results show that a t...
متن کاملCoping with Noisy Search Experiences
The so-called social Web has helped to change the very nature of the Internet by emphasising the role of our online experiences as new forms of content and service knowledge. User-generated content, from blogs and wikis to ratings and comments, all add an important layer of experiential knowledge to our online interactions. In this paper we describe an approach to improving mainstream Web searc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2013
ISSN: 0363-0129,1095-7138
DOI: 10.1137/120861898