{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:10:38Z","timestamp":1751429438551,"version":"3.41.0"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2002,8,1]],"date-time":"2002-08-01T00:00:00Z","timestamp":1028160000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,8,1]],"date-time":"2002-08-01T00:00:00Z","timestamp":1028160000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Global Optimization"],"published-print":{"date-parts":[[2002,8]]},"DOI":"10.1023\/a:1016539015160","type":"journal-article","created":{"date-parts":[[2002,12,29]],"date-time":"2002-12-29T03:32:49Z","timestamp":1041132769000},"page":"329-358","source":"Crossref","is-referenced-by-count":0,"title":["Convergence Rates of Digital Diffusion Network Algorithms for Global Optimization with Applications to Image Estimation"],"prefix":"10.1007","volume":"23","author":[{"given":"G.","family":"Yin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.A.","family":"Kelly","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"393994_CR1","unstructured":"X. Cai, P. Kelly, and W. B. Gong, Digital diffusion network for image segmentation, Proc. IEEE Internat. Conf. Image Processing, 1995."},{"key":"393994_CR2","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1137\/0325042","volume":"25","author":"T. S. Chiang","year":"1987","unstructured":"T. S. Chiang, C.R. Hwang, and S.J. Sheu, Diffusion for global optimization in \u211dn, SIAM J. Control Optim.\n25 (1987), 737-752.","journal-title":"SIAM J. Control Optim."},{"key":"393994_CR3","volume-title":"A Parallel Implementation of a Digital Diffusion Network for Image Segmentation","author":"M. H. Dowell","year":"1999","unstructured":"M. H. Dowell, A Parallel Implementation of a Digital Diffusion Network for Image Segmentation, M.S. Thesis, Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, 1999."},{"key":"393994_CR4","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316658","volume-title":"Markov Processes, Characterization and Convergence","author":"S. N. Ethier","year":"1986","unstructured":"S. N. Ethier and T. G. Kurtz, Markov Processes, Characterization and Convergence, Wiley, New York, 1986."},{"key":"393994_CR5","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1137\/0329055","volume":"29","author":"S. B. Gelfand","year":"1991","unstructured":"S. B. Gelfand and S. K. Mitter, Recursive stochastic algorithms for global optimization in \u211dd, SIAM J. Control Optim.\n29 (1991), 999-1018.","journal-title":"SIAM J. Control Optim."},{"key":"393994_CR6","doi-asserted-by":"crossref","first-page":"660","DOI":"10.1109\/58.503728","volume":"43","author":"J. Hokland","year":"1996","unstructured":"J. Hokland and P. Kelly, Markov models of specular and diffuse scattering in restoration of medical ultrasound images, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control\n43 (1996), 660-669.","journal-title":"IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control"},{"key":"393994_CR7","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1109\/72.363429","volume":"6","author":"G. Kesidis","year":"1995","unstructured":"G. Kesidis, Analog optimization with Wong's stochastic neural network, IEEE Trans. Neural Net.\n6 (1995), 258-260.","journal-title":"IEEE Trans. Neural Net."},{"key":"393994_CR8","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1126\/science.220.4598.671","volume":"220","author":"S. Kirkpatrick","year":"1983","unstructured":"S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Optimization by simulated annealing, Science\n220 (1983), 671-680.","journal-title":"Science"},{"key":"393994_CR9","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1137\/0147010","volume":"47","author":"H. J. Kushner","year":"1987","unstructured":"H. J. Kushner, Asymptotic global behavior for stochastic approximation and diffusions with slowly decreasing noise effects: global minimization via Monte Carlo, SIAM J. Appl. Math.\n47 (1987), 169-185.","journal-title":"SIAM J. Appl. Math."},{"key":"393994_CR10","volume-title":"Approximation and Weak Convergence Methods for Random Processes, with applications to Stochastic Systems Theory","author":"H. J. Kushner","year":"1984","unstructured":"H. J. Kushner, Approximation and Weak Convergence Methods for Random Processes, with applications to Stochastic Systems Theory, MIT Press, Cambridge, MA, 1984."},{"key":"393994_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-2696-8","volume-title":"Stochastic Approximation Algorithms and Applications","author":"H. J. Kushner","year":"1997","unstructured":"H. J. Kushner and G. Yin, Stochastic Approximation Algorithms and Applications, Springer-Verlag, New York, 1997."},{"key":"393994_CR12","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1137\/S1052623495270723","volume":"8","author":"P. L'Ecuyer","year":"1998","unstructured":"P. L'Ecuyer and G. Yin, Budget-dependent rate of stochastic approximation, SIAM J. Optim.\n8 (1998), 217-247.","journal-title":"SIAM J. Optim."},{"key":"393994_CR13","doi-asserted-by":"crossref","unstructured":"B. Manjunath, T. Simchony, and R. Chellappa, Stochastic and deterministic networks for texture segmentation, IEEE Trans. ASSP\n38 1990.","DOI":"10.1109\/29.56064"},{"key":"393994_CR14","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1063\/1.1699114","volume":"21","author":"M. Metropolis","year":"1953","unstructured":"M. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A.H. Teller, and E. Teller, Equations of state calculations by fast computing machines, J. Chem. Phys.\n21 (1953), 1087-1091.","journal-title":"J. Chem. Phys."},{"key":"393994_CR15","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1007\/BF01759054","volume":"6","author":"E. Wong","year":"1991","unstructured":"E. Wong, Stochastic neural networks, Algorithmica\n6 (1991), 466-478.","journal-title":"Algorithmica"},{"key":"393994_CR16","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1137\/S1052623497319225","volume":"10","author":"G. Yin","year":"1999","unstructured":"G. Yin, Rates of convergence for a class of global stochastic optimization algorithms, SIAM J. Optim., 10 (1999), 99-120.","journal-title":"SIAM J. Optim."},{"key":"393994_CR17","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1023\/A:1026485504384","volume":"107","author":"G. Yin","year":"2000","unstructured":"G. Yin, P.A. Kelly, and M.H. Dowell, Approximation of an analog diffusion network with applications to image estimation, J. Optim. Theory Appl.\n107 (2000), 391-414.","journal-title":"J. Optim. Theory Appl."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1016539015160.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1016539015160\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1016539015160.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:42:20Z","timestamp":1751366540000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1016539015160"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,8]]},"references-count":17,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2002,8]]}},"alternative-id":["393994"],"URL":"https:\/\/doi.org\/10.1023\/a:1016539015160","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"type":"print","value":"0925-5001"},{"type":"electronic","value":"1573-2916"}],"subject":[],"published":{"date-parts":[[2002,8]]}}}