Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
153 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Quantum Annealing for Computer Vision Minimization Problems (2312.12848v1)

Published 20 Dec 2023 in quant-ph and cs.CV

Abstract: Computer Vision (CV) labelling algorithms play a pivotal role in the domain of low-level vision. For decades, it has been known that these problems can be elegantly formulated as discrete energy minimization problems derived from probabilistic graphical models (such as Markov Random Fields). Despite recent advances in inference algorithms (such as graph-cut and message-passing algorithms), the resulting energy minimization problems are generally viewed as intractable. The emergence of quantum computations, which offer the potential for faster solutions to certain problems than classical methods, has led to an increased interest in utilizing quantum properties to overcome intractable problems. Recently, there has also been a growing interest in Quantum Computer Vision (QCV), with the hope of providing a credible alternative or assistant to deep learning solutions in the field. This study investigates a new Quantum Annealing based inference algorithm for CV discrete energy minimization problems. Our contribution is focused on Stereo Matching as a significant CV labeling problem. As a proof of concept, we also use a hybrid quantum-classical solver provided by D-Wave System to compare our results with the best classical inference algorithms in the literature.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (56)
  1. Application of quantum annealing to training of deep neural networks. arXiv preprint arXiv:1510.06356, 2015.
  2. Quantum motion segmentation. In European Conference on Computer Vision, pages 506–523. Springer, 2022.
  3. Adiabatic quantum graph matching with permutation matrix constraints. In 2020 International Conference on 3D Vision (3DV), pages 583–592. IEEE, 2020.
  4. Quant: Quantum annealing with learnt couplings. arXiv preprint arXiv:2210.08114, 2022.
  5. Julian Besag. On the statistical analysis of dirty pictures. Journal of the Royal Statistical Society: Series B (Methodological), 48(3):259–279, 1986.
  6. Multiway cut for stereo and motion with slanted surfaces. In Proceedings of the seventh IEEE international conference on computer vision, volume 1, pages 489–495. IEEE, 1999.
  7. Quantum permutation synchronization. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pages 13122–13133, 2021.
  8. Markov random fields with efficient approximations. In Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No. 98CB36231), pages 648–655. IEEE, 1998.
  9. Fast approximate energy minimization via graph cuts. IEEE Transactions on pattern analysis and machine intelligence, 23(11):1222–1239, 2001.
  10. Solving the broadcast time problem using a D-Wave quantum computer. In Advances in Unconventional Computing, pages 439–453. Springer, 2017.
  11. QUBO formulations for the graph isomorphism problem and related problems. Theoretical Computer Science, 701:54–69, 2017.
  12. Vladimír Černỳ. Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm. Journal of optimization theory and applications, 45(1):41–51, 1985.
  13. A QUBO formulation of the stereo matching problem for D-Wave quantum annealers. Entropy, 20(10):786, 2018.
  14. What is the computational value of finite-range tunneling? Physical Review X, 6(3):031015, 2016.
  15. Training and Classification using a Restricted Boltzmann Machine on the D-Wave 2000Q. arXiv:2005.03247 [cs, stat], May 2020. arXiv: 2005.03247.
  16. A hybrid quantum-classical algorithm for robust fitting. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pages 417–427, 2022.
  17. Quantum computation by adiabatic evolution. arXiv preprint quant-ph/0001106, 2000.
  18. Quantum multi-model fitting. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pages 13640–13649, 2023.
  19. Efficient belief propagation for early vision. International journal of computer vision, 70(1):41–54, 2006.
  20. Dynamic programming and graph algorithms in computer vision. IEEE transactions on pattern analysis and machine intelligence, 33(4):721–740, 2010.
  21. Parallel and deterministic algorithms from mrfs: Surface reconstruction. IEEE Transactions on Pattern Analysis & Machine Intelligence, 13(05):401–412, 1991.
  22. Literature survey on stereo vision disparity map algorithms. Journal of Sensors, 2016, 2016.
  23. An equivalent QUBO Model to the minimum multi-way cut problem. Technical report, Department of Computer Science, The University of Auckland, New Zealand, 2022.
  24. An improved quantum solution for the stereo matching problem. In 2021 36th International Conference on Image and Vision Computing New Zealand (IVCNZ), pages 1–6. IEEE, 2021.
  25. A comparative study of modern inference techniques for structured discrete energy minimization problems. International Journal of Computer Vision, 115(2):155–184, 2015.
  26. Quantum annealing amid local ruggedness and global frustration. Journal of the Physical Society of Japan, 88(6):061007, 2019.
  27. Vladimir Kolmogorov. Convergent tree-reweighted message passing for energy minimization. In International Workshop on Artificial Intelligence and Statistics, pages 182–189. PMLR, 2005.
  28. Comparison of energy minimization algorithms for highly connected graphs. In European Conference on Computer Vision, pages 1–15. Springer, 2006.
  29. Approximate labeling via graph cuts based on linear programming. IEEE transactions on pattern analysis and machine intelligence, 29(8):1436–1453, 2007.
  30. 2000 Qubit D-Wave Quantum Computer Replacing MCMC for RBM Image Reconstruction and Classification. In 2018 International Joint Conference on Neural Networks (IJCNN), pages 1–8, July 2018. ISSN: 2161-4407.
  31. Determination of the Lowest-Energy States for the Model Distribution of Trained Restricted Boltzmann Machines Using a 1000 Qubit D-Wave 2X Quantum Computer. Neural Computation, 29(7):1815–1837, 2017.
  32. Empirical investigation of the low temperature energy function of the Restricted Boltzmann Machine using a 1000 qubit D-Wave 2X. In 2016 International Joint Conference on Neural Networks (IJCNN), pages 1948–1954, July 2016. ISSN: 2161-4407.
  33. Practical stereo matching via cascaded recurrent network with adaptive correlation. In Proceedings of the IEEE/CVF conference on computer vision and pattern recognition, pages 16263–16272, 2022.
  34. Quantum-soft QUBO suppression for accurate object detection. In European Conference on Computer Vision, pages 158–173. Springer, 2020.
  35. S. Z. Li. Markov Random Field Modeling in Computer Vision. Springer-Verlag, Berlin, Heidelberg, 1995.
  36. Andrew Lucas. Ising formulations of many np problems. Frontiers in physics, 2:5, 2014.
  37. Disparity map computation of tree using stereo vision system and effects of canopy shapes and foliage density. Computers and electronics in agriculture, 156:627–644, 2019.
  38. Catherine C McGeoch. Adiabatic quantum computation and quantum annealing: Theory and practice. Synthesis Lectures on Quantum Computing, 5(2):1–93, 2014.
  39. A taxonomy and evaluation of dense two-frame stereo correspondence algorithms. International journal of computer vision, 47(1):7–42, 2002.
  40. Stereo matching using belief propagation. IEEE Transactions on pattern analysis and machine intelligence, 25(7):787–800, 2003.
  41. D-Wave Systems. D-Wave hybrid solver service + advantage: Technology update. [Online]. Available from: https://www.dwavesys.com/media/m2xbmlhs/14-1048a-a_d-wave_hybrid_solver_service_plus_advantage_technology_update.pdf, June 2022.
  42. D-Wave Systems. Discrete quadratic models. [Online]. Available from: https://docs.ocean.dwavesys.com/en/latest/concepts/dqm.html, June 2023.
  43. A comparative study of energy minimization methods for markov random fields. In European conference on computer vision, pages 16–29. Springer, 2006.
  44. A comparative study of energy minimization methods for markov random fields with smoothness-based priors. IEEE transactions on pattern analysis and machine intelligence, 30(6):1068–1080, 2008.
  45. Comparison of graph cuts with belief propagation for stereo, using identical mrf parameters. In Computer Vision, IEEE International Conference on, volume 3, pages 900–900. IEEE Computer Society, 2003.
  46. Olga Veksler. Efficient graph-based energy minimization methods in computer vision. Cornell University, 1999.
  47. Middlebury Stereo Vision. 2001 middleburry stereo datasets. [Online]. Available from: https://vision.middlebury.edu/stereo/data/scenes2001/, June 2022.
  48. Middlebury Stereo Vision. Middleburry MRF implementations. [Online]. Available from: https://vision.middlebury.edu/MRF/, June 2022.
  49. Deep learning for computer vision: A brief review. Computational intelligence and neuroscience, 2018, 2018.
  50. Tree consistency and bounds on the performance of the max-product algorithm and its generalizations. Statistics and computing, 14(2):143–166, 2004.
  51. Map estimation via agreement on trees: message-passing and linear programming. IEEE transactions on information theory, 51(11):3697–3717, 2005.
  52. Markov Random Field modeling, inference & learning in computer vision & image understanding: A survey. Computer Vision and Image Understanding, 117(11):1610–1627, 2013.
  53. A comparison between D-Wave and a classical approximation algorithm and a heuristic for computing the ground state of an ising spin glass. arXiv preprint arXiv:2105.00537, 2021.
  54. Efficient message representations for belief propagation. In 2007 IEEE 11th International Conference on Computer Vision, pages 1–8. IEEE, 2007.
  55. Q-fw: A hybrid classical-quantum frank-wolfe for quadratic binary optimization. In European Conference on Computer Vision, pages 352–369. Springer, 2022.
  56. Adiabatic quantum computing for multi object tracking. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pages 8811–8822, 2022.
Citations (2)

Summary

We haven't generated a summary for this paper yet.

X Twitter Logo Streamline Icon: https://streamlinehq.com