Reinforcement Learning Enhanced Quantum-inspired Algorithm for
Combinatorial Optimization
- URL: http://arxiv.org/abs/2002.04676v2
- Date: Fri, 14 Feb 2020 19:47:49 GMT
- Title: Reinforcement Learning Enhanced Quantum-inspired Algorithm for
Combinatorial Optimization
- Authors: Dmitrii Beloborodov (1), A. E. Ulanov (1), Jakob N. Foerster (2),
Shimon Whiteson (2), A. I. Lvovsky (1 and 2) ((1) Russian Quantum Center, (2)
University of Oxford)
- Abstract summary: We use a reinforcement learning agent in conjunction with a quantum-inspired algorithm to solve the Ising energy minimization problem.
We propose a new Rescaled Ranked Reward (R3) method that enables stable single-player version of self-play training.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum hardware and quantum-inspired algorithms are becoming increasingly
popular for combinatorial optimization. However, these algorithms may require
careful hyperparameter tuning for each problem instance. We use a reinforcement
learning agent in conjunction with a quantum-inspired algorithm to solve the
Ising energy minimization problem, which is equivalent to the Maximum Cut
problem. The agent controls the algorithm by tuning one of its parameters with
the goal of improving recently seen solutions. We propose a new Rescaled Ranked
Reward (R3) method that enables stable single-player version of self-play
training that helps the agent to escape local optima. The training on any
problem instance can be accelerated by applying transfer learning from an agent
trained on randomly generated problems. Our approach allows sampling
high-quality solutions to the Ising problem with high probability and
outperforms both baseline heuristics and a black-box hyperparameter
optimization approach.
Related papers
- Reinforcement Learning for Variational Quantum Circuits Design [10.136215038345012]
Variational Quantum Algorithms have emerged as promising tools for solving optimization problems on quantum computers.
In this study, we leverage the powerful and flexible Reinforcement Learning paradigm to train an agent capable of autonomously generating quantum circuits.
Our results indicate that the $R_yz$-connected circuit achieves high approximation ratios for Maximum Cut problems.
arXiv Detail & Related papers (2024-09-09T10:07:12Z) - Optimization by Parallel Quasi-Quantum Annealing with Gradient-Based Sampling [0.0]
This study proposes a different approach that integrates gradient-based update through continuous relaxation, combined with Quasi-Quantum Annealing (QQA)
Numerical experiments demonstrate that our method is a competitive general-purpose solver, achieving performance comparable to iSCO and learning-based solvers.
arXiv Detail & Related papers (2024-09-02T12:55:27Z) - Federated Multi-Level Optimization over Decentralized Networks [55.776919718214224]
We study the problem of distributed multi-level optimization over a network, where agents can only communicate with their immediate neighbors.
We propose a novel gossip-based distributed multi-level optimization algorithm that enables networked agents to solve optimization problems at different levels in a single timescale.
Our algorithm achieves optimal sample complexity, scaling linearly with the network size, and demonstrates state-of-the-art performance on various applications.
arXiv Detail & Related papers (2023-10-10T00:21:10Z) - Quantum-Informed Recursive Optimization Algorithms [0.0]
We propose and implement a family of quantum-informed recursive optimization (QIRO) algorithms for optimization problems.
Our approach leverages quantum resources to obtain information that is used in problem-specific classical reduction steps.
We use backtracking techniques to further improve the performance of the algorithm without increasing the requirements on the quantum hardware.
arXiv Detail & Related papers (2023-08-25T18:02:06Z) - Learning to Optimize Permutation Flow Shop Scheduling via Graph-based
Imitation Learning [70.65666982566655]
Permutation flow shop scheduling (PFSS) is widely used in manufacturing systems.
We propose to train the model via expert-driven imitation learning, which accelerates convergence more stably and accurately.
Our model's network parameters are reduced to only 37% of theirs, and the solution gap of our model towards the expert solutions decreases from 6.8% to 1.3% on average.
arXiv Detail & Related papers (2022-10-31T09:46:26Z) - Efficiently Solve the Max-cut Problem via a Quantum Qubit Rotation
Algorithm [7.581898299650999]
We introduce a simple yet efficient algorithm named Quantum Qubit Rotation Algorithm (QQRA)
The approximate solution of the max-cut problem can be obtained with probability close to 1.
We compare it with the well known quantum approximate optimization algorithm and the classical Goemans-Williamson algorithm.
arXiv Detail & Related papers (2021-10-15T11:19:48Z) - Quadratic Unconstrained Binary Optimisation via Quantum-Inspired
Annealing [58.720142291102135]
We present a classical algorithm to find approximate solutions to instances of quadratic unconstrained binary optimisation.
We benchmark our approach for large scale problem instances with tuneable hardness and planted solutions.
arXiv Detail & Related papers (2021-08-18T09:26:17Z) - Quantum constraint learning for quantum approximate optimization
algorithm [0.0]
This paper introduces a quantum machine learning approach to learn the mixer Hamiltonian required to hard constrain the search subspace.
One can directly plug the learnt unitary into the QAOA framework using an adaptable ansatz.
We also develop an intuitive metric that uses Wasserstein distance to assess the performance of general approximate optimization algorithms with/without constraints.
arXiv Detail & Related papers (2021-05-14T11:31:14Z) - Adaptive pruning-based optimization of parameterized quantum circuits [62.997667081978825]
Variisy hybrid quantum-classical algorithms are powerful tools to maximize the use of Noisy Intermediate Scale Quantum devices.
We propose a strategy for such ansatze used in variational quantum algorithms, which we call "Efficient Circuit Training" (PECT)
Instead of optimizing all of the ansatz parameters at once, PECT launches a sequence of variational algorithms.
arXiv Detail & Related papers (2020-10-01T18:14:11Z) - Combining Deep Learning and Optimization for Security-Constrained
Optimal Power Flow [94.24763814458686]
Security-constrained optimal power flow (SCOPF) is fundamental in power systems.
Modeling of APR within the SCOPF problem results in complex large-scale mixed-integer programs.
This paper proposes a novel approach that combines deep learning and robust optimization techniques.
arXiv Detail & Related papers (2020-07-14T12:38:21Z) - Cross Entropy Hyperparameter Optimization for Constrained Problem
Hamiltonians Applied to QAOA [68.11912614360878]
Hybrid quantum-classical algorithms such as Quantum Approximate Optimization Algorithm (QAOA) are considered as one of the most encouraging approaches for taking advantage of near-term quantum computers in practical applications.
Such algorithms are usually implemented in a variational form, combining a classical optimization method with a quantum machine to find good solutions to an optimization problem.
In this study we apply a Cross-Entropy method to shape this landscape, which allows the classical parameter to find better parameters more easily and hence results in an improved performance.
arXiv Detail & Related papers (2020-03-11T13:52:41Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.