# Selecting with History

**Authors:** Tom Hess, Sivan Sabato

arXiv: 1702.03989 · 2018-09-27

## TL;DR

This paper introduces a new selection problem called 'Selecting with History' that extends the secretary problem by incorporating historical data, and proposes a strategy with its success probability analyzed asymptotically.

## Contribution

It defines the 'Selecting with History' problem, extending classical secretary problem frameworks, and provides a strategy with success probability analysis for large sequences.

## Key findings

- Proposed a new selection strategy for the problem.
- Calculated success probability in the large sequence limit.
- Extended secretary problem to include historical information.

## Abstract

We define a new selection problem, \emph{Selecting with History}, which extends the secretary problem to a setting with historical information. We propose a strategy for this problem and calculate its success probability in the limit of a large sequence.

## Full text

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## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1702.03989/full.md

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Source: https://tomesphere.com/paper/1702.03989