MediaWiki API result
This is the HTML representation of the JSON format. HTML is good for debugging, but is unsuitable for application use.
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"*": "{| id=\"mp-topbanner\" style=\"width:100%; background:#f6f6f6; margin-top:1.2em; border:1px solid #ddd;\"\n| style=\"width:61%; color:#000;\" |\n{| style=\"width:100%; border:none; background:none;\"\n| style=\"text-align:center; white-space:nowrap; color:#000;\" |\n<div style=\"font-size:162%; border:none; margin:0; padding:.1em; color:#000;\">Welcome to the Cornell University Computational Optimization Open Textbook</div>\n\nThis electronic textbook is a student-contributed open-source text covering a variety of topics on process optimization.<br />\n'''If you have any comments or suggestions on this open textbook, please contact [https://www.engineering.cornell.edu/faculty-directory/fengqi-you Professor Fengqi You].'''\n|}\n|}\n\n{| id=\"mp-upper\" style=\"width: 100%; margin:6px 0 0 0; background:none; border-spacing: 0px;\"\n| class=\"MainPageBG\" style=\"width:50%; border:1px solid #cef2e0; background:#f5fffa; vertical-align:top; color:#000;\" |\n{| id=\"mp-left\" style=\"width:100%; vertical-align:top; background:#f5fffa;\"\n! style=\"padding:2px;\" | <h2 id=\"mp-tfa-h2\" style=\"margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;\">Linear Programming (LP)</h2>\n|-\n| style=\"color:#000;\" | <div id=\"mp-tfa\" style=\"padding:2px 5px 5px 15px\">\n <li>[[Duality]]</li>\n <li>[[Simplex algorithm]]</li>\n <li>[[Computational complexity]]</li>\n <li>[[Network flow problem]]</li>\n <li>[[Interior-point method for LP]]</li>\n <li>[[Optimization with absolute values]]</li>\n <li>[[Matrix game (LP for game theory)]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-dyk-h2\" style=\"margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;\">NonLinear Programming (NLP)</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Line search methods]]</li>\n <li>[[Trust-region methods]]</li>\n <li>[[Interior-point method for NLP]]</li>\n <li>[[Conjugate gradient methods]]</li>\n <li>[[Quasi-Newton methods]]</li>\n <li>[[Quadratic programming]]</li>\n <li>[[Sequential quadratic programming]]</li>\n <li>[[Subgradient optimization]]</li>\n <li>[[Mathematical programming with equilibrium constraints]]</li>\n <li>[[Dynamic optimization]]</li>\n <li>[[Geometric programming]]</li>\n <li>[[Nondifferentiable Optimization]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-dyk-h2\" style=\"margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;\">Deterministic Global Optimization</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Exponential transformation]]</li>\n <li>[[Logarithmic transformation]]</li>\n <li>[[McCormick envelopes]]</li>\n <li>[[Piecewise linear approximation]]</li>\n <li>[[Spatial branch and bound method]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-dyk-h2\" style=\"margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;\">Dynamic Programming</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Markov decision process]]</li>\n <li>[[Bellman equation]]</li>\n <li>[[Eight step procedures]]</li>\n <li>[[Stochastic dynamic programming]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-dyk-h2\" style=\"margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;\">Traditional Applications</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Facility location problem]]</li>\n <li>[[Traveling salesman problem]]</li>\n <li>[[Set covering problem]]</li>\n <li>[[Quadratic assignment problem]]</li>\n <li>[[Job shop scheduling]]</li>\n <li>[[Newsvendor problem]]</li> \n <li>[[Unit commitment problem]]</li>\n <li>[[Portfolio optimization]]</li>\n</div>\n\n|}\n\n| style=\"border:1px solid transparent;\" |\n| class=\"MainPageBG\" style=\"width:50%; border:1px solid #cedff2; background:#f5faff; vertical-align:top;\"|\n{| id=\"mp-right\" style=\"width:100%; vertical-align:top; background:#f5faff;\"\n! style=\"padding:2px\" | <h2 id=\"mp-otd-h2\" style=\"margin:3px; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;\">Mixed-Integer Linear Programming (MILP)</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-otd\">\n <li>[[Mixed-integer cuts]]</li>\n <li>[[Disjunctive inequalities]]</li>\n <li>[[Lagrangean duality]]</li>\n <li>[[Column generation algorithms]]</li>\n <li>[[Heuristic algorithms]]</li>\n <li>[[Branch and cut]]</li>\n <li>[[Local branching]]</li></div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-otd-h2\" style=\"margin:3px; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;\">Mixed-Integer NonLinear Programming (MINLP)</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-otd\">\n <li>[[Signomial problems]]</li>\n <li>[[Mixed-integer linear fractional programming (MILFP)]]</li>\n <li>[[Convex generalized disjunctive programming (GDP)]]</li>\n <li>[[Nonconvex generalized disjunctive programming (GDP)]]</li>\n <li>[[Branch and bound (BB) for MINLP]]</li>\n <li>[[Branch and cut for MINLP]]</li>\n <li>[[Generalized Benders decomposition (GBD)]]</li>\n <li>[[Outer-approximation (OA)]]</li>\n <li>[[Extended cutting plane (ECP)]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-otd-h2\" style=\"margin:3px; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;\">Optimization under Uncertainty</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Stochastic programming]]</li>\n <li>[[Chance-constraint method]]</li>\n <li>[[Fuzzy programming]]</li>\n <li>[[Classical robust optimization]]</li>\n <li>[[Adaptive robust optimization]]</li>\n <li>[[Data driven robust optimization]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-otd-h2\" style=\"margin:3px; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;\">Optimization for Machine Learning and Data Analytics</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Stochastic gradient descent]]</li>\n <li>[[Momentum]]</li>\n <li>[[AdaGrad]]</li>\n <li>[[RMSProp]]</li>\n <li>[[Adam]]</li>\n <li>[[Frank-Wolfe]]</li>\n <li>[[Sparse Reconstruction with Compressed Sensing]]</li>\n</div>\n|-\n! style=\"padding:2px\" | <h2 id=\"mp-otd-h2\" style=\"margin:3px; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;\">Emerging Applications</h2>\n|-\n| style=\"color:#000;padding:2px 5px 5px 15px\" | <div id=\"mp-dyk\">\n <li>[[Wing shape optimization]]</li>\n <li>[[Optimization in game theory]]</li>\n <li>[[Quantum computing for optimization]]</li>\n</div>\n|}\n|}\n\n== Sponsor ==\n[[File:Peese-logo.jpg|Cornell Prof. Fengqi You Research Group |link=https://www.peese.org]]\n\n</noinclude>__NOTOC____NOEDITSECTION__"
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