Systems and methods for distributed solution of optimization problems
US9864731B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Jun 16, 2015 |
| Grant date | Jan 9, 2018 |
| Priority date | — |
| Expiry date | Jun 16, 2035 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06N7/00
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
A framework is presented for designing a class of distributed, asynchronous optimization algorithms realized as signal processing architectures utilizing various conservation principles. The architectures are specifically based on stationary conditions pertaining to primal and dual variables in a class of generally nonconvex optimization problems. The stationary conditions, which are closely related to the principles of stationary content and co-content that naturally arise from Tellegen's theorem in electrical networks, are transformed via a linear change of coordinates to obtain a set of linear and nonlinear maps that form the basis for implementation. The resulting algorithms can operate by processing a linear superposition of primal and dual decision variables using the associated maps, coupled using synchronous or asynchronous delay elements to form a distributed system. Tables are provided containing example elements that can be assembled to form various optimization algorithms directly from the associated problem statements.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.