Evidence of Exponential Speed-Up in the Solution of Hard Optimization Problems
المؤلفون المشاركون
Traversa, Fabio L.
Cicotti, Pietro
Sheldon, Forrest
Di Ventra, Massimiliano
المصدر
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-13، 13ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-07-03
دولة النشر
مصر
عدد الصفحات
13
التخصصات الرئيسية
الملخص EN
Optimization problems pervade essentially every scientific discipline and industry.
A common form requires identifying a solution satisfying the maximum number among a set of many conflicting constraints.
Often, these problems are particularly difficult to solve, requiring resources that grow exponentially with the size of the problem.
Over the past decades, research has focused on developing heuristic approaches that attempt to find an approximation to the solution.
However, despite numerous research efforts, in many cases even approximations to the optimal solution are hard to find, as the computational time for further refining a candidate solution also grows exponentially with input size.
In this paper, we show a noncombinatorial approach to hard optimization problems that achieves an exponential speed-up and finds better approximations than the current state of the art.
First, we map the optimization problem into a Boolean circuit made of specially designed, self-organizing logic gates, which can be built with (nonquantum) electronic elements with memory.
The equilibrium points of the circuit represent the approximation to the problem at hand.
Then, we solve its associated nonlinear ordinary differential equations numerically, towards the equilibrium points.
We demonstrate this exponential gain by comparing a sequential MATLAB implementation of our solver with the winners of the 2016 Max-SAT competition on a variety of hard optimization instances.
We show empirical evidence that our solver scales linearly with the size of the problem, both in time and memory, and argue that this property derives from the collective behavior of the simulated physical circuit.
Our approach can be applied to other types of optimization problems, and the results presented here have far-reaching consequences in many fields.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Traversa, Fabio L.& Cicotti, Pietro& Sheldon, Forrest& Di Ventra, Massimiliano. 2018. Evidence of Exponential Speed-Up in the Solution of Hard Optimization Problems. Complexity،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1135978
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Traversa, Fabio L.…[et al.]. Evidence of Exponential Speed-Up in the Solution of Hard Optimization Problems. Complexity No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1135978
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Traversa, Fabio L.& Cicotti, Pietro& Sheldon, Forrest& Di Ventra, Massimiliano. Evidence of Exponential Speed-Up in the Solution of Hard Optimization Problems. Complexity. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1135978
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1135978
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر