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! 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> | ! 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> | ||
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| style="color:#000;" | <div id="mp-tfa" style="padding:2px 5px"> | | style="color:#000;" | <div id="mp-tfa" style="padding:2px 5px 5px 15px"> | ||
<li>[[Duality]]</li> | <li>[[Duality]]</li> | ||
<li>[[Simplex algorithm]]</li> | <li>[[Simplex algorithm]]</li> | ||
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! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[Line search methods]]</li> | <li>[[Line search methods]]</li> | ||
<li>[[Trust-region methods]]</li> | <li>[[Trust-region methods]]</li> | ||
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<li>[[Geometric programming]]</li> | <li>[[Geometric programming]]</li> | ||
<li>[[Nondifferentiable Optimization]]</li> | <li>[[Nondifferentiable Optimization]]</li> | ||
<li>[[Evolutionary multimodal optimization]]</li> | |||
<li>[[Stackelberg leadership model]]</li> | |||
<li>[[Quadratic constrained quadratic programming]]</li> | |||
<li>[[Derivative free optimization]]</li> | |||
</div> | </div> | ||
|- | |- | ||
! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[Exponential transformation]]</li> | <li>[[Exponential transformation]]</li> | ||
<li>[[Logarithmic transformation]]</li> | <li>[[Logarithmic transformation]]</li> | ||
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! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[Markov decision process]]</li> | <li>[[Markov decision process]]</li> | ||
<li>[[Bellman equation]]</li> | <li>[[Bellman equation]]</li> | ||
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! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[Facility location problem]]</li> | <li>[[Facility location problem]]</li> | ||
<li>[[Traveling salesman problem]]</li> | <li>[[Traveling salesman problem]]</li> | ||
<li>[[Set covering problem]]</li> | <li>[[Set covering problem]]</li> | ||
<li>[[Quadratic assignment problem]]</li> | <li>[[Quadratic assignment problem]]</li> | ||
<li>[[Job shop scheduling]]</li> | |||
<li>[[Newsvendor problem]]</li> | <li>[[Newsvendor problem]]</li> | ||
<li>[[Unit commitment problem]]</li> | |||
<li>[[Portfolio optimization]]</li> | |||
<li>[[A-star algorithm]]</li> | |||
</div> | |||
|- | |||
! 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;"> Emerging Applications</h2> | |||
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| style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | |||
<li>[[Wing shape optimization]]</li> | |||
<li>[[Optimization in game theory]]</li> | |||
<li>[[Quantum computing for optimization]]</li> | |||
</div> | </div> | ||
|} | |} | ||
| style="border:1px solid transparent;" | | | style="border:1px solid transparent;" | | ||
| class="MainPageBG" style="width:50%; border:1px solid #cedff2; background:#f5faff; vertical-align:top;"| | | class="MainPageBG" style="width:50%; border:1px solid #cedff2; background:#f5faff; vertical-align:top;"| | ||
{| id="mp-right" style="width:100%; vertical-align:top; background:#f5faff;" | {| id="mp-right" style="width:100%; vertical-align:top; background:#f5faff;" | ||
! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-otd"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-otd"> | ||
<li>[[Mixed-integer cuts]]</li> | <li>[[Mixed-integer cuts]]</li> | ||
<li>[[Disjunctive inequalities]]</li> | <li>[[Disjunctive inequalities]]</li> | ||
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<li>[[Heuristic algorithms]]</li> | <li>[[Heuristic algorithms]]</li> | ||
<li>[[Branch and cut]]</li> | <li>[[Branch and cut]]</li> | ||
<li>[[Local branching]]</li> | <li>[[Local branching]]</li></div> | ||
</div> | |||
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! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-otd"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-otd"> | ||
<li>[[Signomial problems]]</li> | <li>[[Signomial problems]]</li> | ||
<li>[[Mixed-integer linear fractional programming (MILFP)]]</li> | <li>[[Mixed-integer linear fractional programming (MILFP)]]</li> | ||
<li>[[Convex | <li>[[Convex generalized disjunctive programming (GDP)]]</li> | ||
<li>[[Nonconvex | <li>[[Nonconvex generalized disjunctive programming (GDP)]]</li> | ||
<li>[[Branch and bound (BB) for MINLP]]</li> | <li>[[Branch and bound (BB) for MINLP]]</li> | ||
<li>[[Branch and cut for MINLP]]</li> | <li>[[Branch and cut for MINLP]]</li> | ||
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! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[Stochastic programming]]</li> | <li>[[Stochastic programming]]</li> | ||
<li>[[Chance-constraint method]]</li> | <li>[[Chance-constraint method]]</li> | ||
<li>[[Fuzzy programming]]</li> | <li>[[Fuzzy programming]]</li> | ||
<li>[[Classical robust optimization]]</li> | <li>[[Classical robust optimization]]</li> | ||
<li>[[Adaptive robust optimization]]</li> | <li>[[Adaptive robust optimization]]</li> | ||
<li>[[Data driven robust optimization]]</li> | <li>[[Data driven robust optimization]]</li> | ||
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! 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> | ! 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> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[Stochastic gradient descent]]</li> | <li>[[Stochastic gradient descent]]</li> | ||
<li>[[Momentum]]</li> | <li>[[Momentum]]</li> | ||
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<li>[[RMSProp]]</li> | <li>[[RMSProp]]</li> | ||
<li>[[Adam]]</li> | <li>[[Adam]]</li> | ||
<li>[[Frank-Wolfe]]</li> | <li>[[Frank-Wolfe]]</li> | ||
<li>[[Sparse Reconstruction with Compressed Sensing]]</li> | |||
<li>[[Adadelta]]</li> | |||
<li>[[Adafactor]]</li> | |||
<li>[[AdamW]]</li> | |||
<li>[[Adamax]]</li> | |||
<li>[[FTRL algorithm]]</li> | |||
<li>[[Lion algorithm]]</li> | |||
<li>[[LossScaleOptimizer]]</li> | |||
<li>[[Nadam]]</li> | |||
</div> | </div> | ||
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! 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;"> | ! 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;">Black-box Optimization</h2> | ||
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| style="color:#000;padding:2px 5px 5px" | <div id="mp-dyk"> | | style="color:#000;padding:2px 5px 5px 15px" | <div id="mp-dyk"> | ||
<li>[[ | <li>[[Bayesian optimization]]</li> | ||
<li>[[ | <li>[[Genetic algorithm]]</li> | ||
<li>[[ | <li>[[Simulated annealing]]</li> | ||
<li>[[ | <li>[[Particle swarm optimization]]</li> | ||
<li>[[Differential evolution]]</li> | |||
</div> | </div> | ||
|} | |} | ||
Latest revision as of 17:35, 15 December 2024
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