WO2023140794A3 - Methods and systems for optimization problem transformation for facilitated resolution - Google Patents

Methods and systems for optimization problem transformation for facilitated resolution Download PDF

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Publication number
WO2023140794A3
WO2023140794A3 PCT/SG2023/050037 SG2023050037W WO2023140794A3 WO 2023140794 A3 WO2023140794 A3 WO 2023140794A3 SG 2023050037 W SG2023050037 W SG 2023050037W WO 2023140794 A3 WO2023140794 A3 WO 2023140794A3
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Prior art keywords
optimization problem
resolution
methods
groups
variable node
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Ceased
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PCT/SG2023/050037
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French (fr)
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WO2023140794A2 (en
Inventor
Adrien VANDENBROUCQUE
Ewan Franek MUNRO
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Entropica Labs
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Entropica Labs
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Priority to US18/730,663 priority Critical patent/US20250165807A1/en
Publication of WO2023140794A2 publication Critical patent/WO2023140794A2/en
Publication of WO2023140794A3 publication Critical patent/WO2023140794A3/en
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N10/00—Quantum computing, i.e. information processing based on quantum-mechanical phenomena
    • G06N10/60—Quantum algorithms, e.g. based on quantum optimisation, quantum Fourier or Hadamard transforms
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N5/00—Computing arrangements using knowledge-based models
    • G06N5/01—Dynamic search techniques; Heuristics; Dynamic trees; Branch-and-bound
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • General Engineering & Computer Science (AREA)
  • Software Systems (AREA)
  • Computational Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computing Systems (AREA)
  • Evolutionary Computation (AREA)
  • Artificial Intelligence (AREA)
  • Computational Linguistics (AREA)
  • Condensed Matter Physics & Semiconductors (AREA)
  • Operations Research (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Carbon Steel Or Casting Steel Manufacturing (AREA)
  • Fittings On The Vehicle Exterior For Carrying Loads, And Devices For Holding Or Mounting Articles (AREA)
  • Electrical Control Of Air Or Fuel Supplied To Internal-Combustion Engine (AREA)
  • Complex Calculations (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

Methods and system for transformation of an optimization problems to facilitate its resolution are provided. According to at least one aspect of the present embodiments, a method includes casting the optimization problem into a quadratic unconstrained binary model and transforming the optimization problem into an optimization problem in the same model but with reduced connectivity. Transforming the optimization problem into the optimization problem with reduced connectivity includes partitioning decision variables in the quadratic unconstrained binary model into two or more groups, each of the two or more groups comprising at least one decision variable node and introducing a register variable node between adjacent pairs of the at least one decision variable node in the two or more groups to hold partial values of a sum in a linear constraint to form the optimization problem with reduced connectivity.
PCT/SG2023/050037 2022-01-19 2023-01-19 Methods and systems for optimization problem transformation for facilitated resolution Ceased WO2023140794A2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
US18/730,663 US20250165807A1 (en) 2022-01-19 2023-01-19 Methods and systems for optimization problem transformation for facilitated resolution

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
SG10202200507Y 2022-01-19
SG10202200507Y 2022-01-19

Publications (2)

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WO2023140794A2 WO2023140794A2 (en) 2023-07-27
WO2023140794A3 true WO2023140794A3 (en) 2023-11-02

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PCT/SG2023/050037 Ceased WO2023140794A2 (en) 2022-01-19 2023-01-19 Methods and systems for optimization problem transformation for facilitated resolution

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US (1) US20250165807A1 (en)
WO (1) WO2023140794A2 (en)

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20150193692A1 (en) * 2013-11-19 2015-07-09 D-Wave Systems Inc. Systems and methods of finding quantum binary optimization problems
US20160321559A1 (en) * 2013-06-28 2016-11-03 D-Wave Systems Inc. Systems and methods for quantum processing of data

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20160321559A1 (en) * 2013-06-28 2016-11-03 D-Wave Systems Inc. Systems and methods for quantum processing of data
US20150193692A1 (en) * 2013-11-19 2015-07-09 D-Wave Systems Inc. Systems and methods of finding quantum binary optimization problems

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
SAMORANI MICHELE; WANG YANG; WANG YANG; LV ZHIPENG; GLOVER FRED: "Clustering-driven evolutionary algorithms: an application of path relinking to the quadratic unconstrained binary optimization problem", JOURNAL OF HEURISTICS, KLUWER ACADEMIC PUBLISHERS, DORDRECHT, NL, vol. 25, no. 4, 1 January 2019 (2019-01-01), NL , pages 629 - 642, XP036862216, ISSN: 1381-1231, DOI: 10.1007/s10732-018-9403-z *
VANDENBROUCQUE ADRIEN: "A Dive into Cluster Monte-Carlo Algorithms", MASTER'STHESIS, ECOLE POLYTECHNIQUE FÉDÉRALE DE LAUSANNE, 3 September 2021 (2021-09-03), XP093106590, Retrieved from the Internet <URL:https://adrienvdb.com/wp-content/uploads/2021/11/master_thesis_adrien_vandenbroucque.pdf> [retrieved on 20231128] *

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WO2023140794A2 (en) 2023-07-27
US20250165807A1 (en) 2025-05-22

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