Artikel

Market graph clustering via QUBO and digital annealing

We present a novel technique for cardinality-constrained index-tracking, a common task in the financial industry. Our approach is based on market graph models. We model our reference indices as market graphs and express the index-tracking problem as a quadratic K-medoids clustering problem. We take advantage of a purpose-built hardware architecture to circumvent the NP-hard nature of the problem and solve our formulation efficiently. The main contributions of this article are bridging three separate areas of the literature, market graph models, K-medoid clustering and quadratic binary optimization modeling, to formulate the index-tracking problem as a binary quadratic K-medoid graph-clustering problem. Our initial results show we accurately replicate the returns of various market indices, using only a small subset of their constituent assets. Moreover, our binary quadratic formulation allows us to take advantage of recent hardware advances to overcome the NP-hard nature of the problem and obtain solutions faster than with traditional architectures and solvers.

Language
Englisch

Bibliographic citation
Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 14 ; Year: 2021 ; Issue: 1 ; Pages: 1-13 ; Basel: MDPI

Classification
Wirtschaft
Subject
graph clustering
K-medoids
market graph
combinatorial optimization
QUBO
portfolioconstruction
index-tracking

Event
Geistige Schöpfung
(who)
Hong, Seo Woo
Miasnikof, Pierre
Kwon, Roy
Lawryshyn, Yuri
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2021

DOI
doi:10.3390/jrfm14010034
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Hong, Seo Woo
  • Miasnikof, Pierre
  • Kwon, Roy
  • Lawryshyn, Yuri
  • MDPI

Time of origin

  • 2021

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