Consider a gambler who observes a sequence of independent, non-negative random numbers and is allowed to stop the sequence at any time, claiming a reward equal to the most recent observation. The famous prophet inequality of Krengel, Sucheston, and Garling asserts that a gambler who knows the distribution of each random variable can achieve at least half as much reward, in expectation, as a "pr...

We present Prophet, a novel patch generation system that learns a probabilistic model over candidate patches from a database of past successful patches. Prophet defines the probabilistic model as the combination of a distribution over program points based on defect localization algorithms and a parameterized log-linear distribution over modification operations. It then learns the model paramete...

Due to its characteristics such as long communication delay, high dynamic topology, sparse distribution of nodes and frequent link break, routing are the key research issues of delay tolerant networks. Prophet algorithm forwards the packets to the node with maximum probability of successful delivery by recording history information of nodes encounter. Prophet reduces the invalid copy of message...

We introduce a novel framework of Prophet Inequalities for combinatorial valuation functions. For a (non-monotone) submodular objective function over an arbitrary matroid feasibility constraint, we give an O(1)-competitive algorithm. For a monotone subadditive objective function over an arbitrary downward-closed feasibility constraint, we give an O(log n log r)-competitive algorithm (where r is...

All classical “prophet inequalities” for independent random variables hold also in the case where only a noise corrupted version of those variables is observable. That is, if the pairs (X1, Z1), . . . , (Xn, Zn) are independent with arbitrary, known joint distributions, and only the sequence Z1, . . . , Zn is observable, then all prophet inequalities which would hold if the X’s were directly ob...

This paper presents the results of the project IMPERA (Integrated Mission Planning for Distributed Robot Systems). The goal of IMPERA was to realize an extraterrestrial exploration scenario using a heterogeneous multi-robot system. The main challenge was the development of a multi-robot planning and plan execution architecture. The robot team consists of three heterogeneous robots, which have t...

In the Prophet Secretary problem, samples from a known set of probability distributions arrive one by one in a uniformly random order, and an algorithm must irrevocably pick one of the samples as soon as it arrives. The goal is to maximize the expected value of the sample picked relative to the expected maximum of the distributions. This is one of the most simple and fundamental problems in onl...

To my mother, Ammi. "Cling to her feet, because paradise is there" (Prophet Muhammad).