12,841 research outputs found

    Multistart Methods for Quantum Approximate Optimization

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    Hybrid quantum-classical algorithms such as the quantum approximate optimization algorithm (QAOA) are considered one of the most promising approaches for leveraging near-term quantum computers for practical applications. Such algorithms are often implemented in a variational form, combining classical optimization methods with a quantum machine to find parameters to maximize performance. The quality of the QAOA solution depends heavily on quality of the parameters produced by the classical optimizer. Moreover, the presence of multiple local optima in the space of parameters makes it harder for the classical optimizer. In this paper we study the use of a multistart optimization approach within a QAOA framework to improve the performance of quantum machines on important graph clustering problems. We also demonstrate that reusing the optimal parameters from similar problems can improve the performance of classical optimization methods, expanding on similar results for MAXCUT

    To Index or Not to Index: Optimizing Exact Maximum Inner Product Search

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    Exact Maximum Inner Product Search (MIPS) is an important task that is widely pertinent to recommender systems and high-dimensional similarity search. The brute-force approach to solving exact MIPS is computationally expensive, thus spurring recent development of novel indexes and pruning techniques for this task. In this paper, we show that a hardware-efficient brute-force approach, blocked matrix multiply (BMM), can outperform the state-of-the-art MIPS solvers by over an order of magnitude, for some -- but not all -- inputs. In this paper, we also present a novel MIPS solution, MAXIMUS, that takes advantage of hardware efficiency and pruning of the search space. Like BMM, MAXIMUS is faster than other solvers by up to an order of magnitude, but again only for some inputs. Since no single solution offers the best runtime performance for all inputs, we introduce a new data-dependent optimizer, OPTIMUS, that selects online with minimal overhead the best MIPS solver for a given input. Together, OPTIMUS and MAXIMUS outperform state-of-the-art MIPS solvers by 3.2×\times on average, and up to 10.9×\times, on widely studied MIPS datasets.Comment: 12 pages, 8 figures, 2 table

    Animal health and the role of communities: an example of trypanasomosis control options in Uganda

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    In many African countries, governments are re-thinking the role of the state in centrally providing certain goods and services. The rights and responsibilities for providing various public goods are being decentralized to lower levels of government administration, and/or being devolved directly to local citizens or user groups themselves. It is thus critical to ask: under what circumstances will local groups provide the socially optimal level of the public good? In this paper, we apply this question to the case of controlling an important vector-borne livestock disease in Uganda, trypanosomosis, which is transmitted by the tsetse fly. We investigate the underlying epidemiology of transmission and different options for control, and the implications for group provision of control, within the framework of a game-theoretic model. Results indicate that individual incentives to uptake tsetse and trypanosomosis control differ widely across different control methods. Since the costs of successfully implementing collective action are affected by individual incentives to participate in collective action, the model predicts which method/s are likely to be successfully implemented at the community level. More broadly, the model highlights under what circumstances community-provision is not likely to be optimal, depending on the underlying epidemiology of the disease, technological parameters, prevailing market characteristics, and socio-cultural conditions.
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