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Neural Combinatorial Optimization with Reinforcement Learning (arxiv.org)
2 points by spacehacker on Jan 6, 2017 | hide | past | pdf | discuss on HN

In plain words: A network learns to order cities into a tour, getting rewarded for shorter routes and improving through trial and error. Without hand-built tricks, it finds near-optimal tours for up to 100 cities, close to what carefully designed heuristics achieve.

Abstract

This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city coordinates, predicts a distribution over different city permutations. Using negative tour length as the reward signal, we optimize the parameters of the recurrent network using a policy gradient method. We compare learning the network parameters on a set of training graphs against learning them on individual test graphs. Despite the computational expense, without much engineering and heuristic designing, Neural Combinatorial Optimization achieves close to optimal results on 2D Euclidean graphs with up to 100 nodes. Applied to the KnapSack, another NP-hard problem, the same method obtains optimal solutions for instances with up to 200 items.

Irwan Bello, Hieu Pham, Quoc V. Le, Mohammad Norouzi, Samy Bengio
arXiv:1611.09940 · cs.AI, cs.LG, stat.ML · submitted Nov 29, 2016 · updated Jan 12, 2017
abstract · pdf · html · Under review as a conference paper at ICLR 2017

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