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Optimisasi Konveks×Pengoptimuman Stokastik×
BidangPengoptimumanPengoptimuman
KeluargaProcess / pipelineProcess / pipeline
Tahun asal20041951 (SGD); 2014 (Adam)
PengasasStephen Boyd & Lieven Vandenberghe
JenisMathematical optimization frameworkGradient-based iterative optimization
Sumber perintisBoyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press. ISBN: 978-0-521-83378-3Robbins, H. & Monro, S. (1951). A Stochastic Approximation Method. Annals of Mathematical Statistics, 22(3), 400-407. DOI ↗
AliasConvex Programming, Disciplined Convex Programming, Dışbükey Optimizasyon, Convex Mathematical ProgrammingStokastik Optimizasyon (SGD & Varyantları), stochastic gradient descent, SGD, Adam
Berkaitan33
RingkasanConvex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets. Formalized and popularized by Stephen Boyd and Lieven Vandenberghe in their landmark 2004 textbook, the framework unifies a wide family of problems — including linear programming, quadratic programming, semidefinite programming, and second-order cone programming — under a single theoretical roof. Its defining property is that any locally optimal solution is also globally optimal, making it tractable and reliable for engineering, statistics, machine learning, and operations research.Stochastic optimization is a family of iterative methods that minimize an objective function by computing gradients on randomly sampled subsets of data — mini-batches — rather than on the entire dataset at once. Pioneered by Robbins and Monro in 1951 as stochastic approximation, the approach became the standard engine for training large-scale machine-learning models through variants such as SGD with momentum, AdaGrad, RMSProp, and Adam.
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ScholarGateBandingkan kaedah: Convex Optimization · Stochastic Optimization. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare