{"id":28122,"date":"2024-03-05T11:11:34","date_gmt":"2024-03-05T12:11:34","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%a8%d8%af%db%8c%d9%84-%d9%81%d8%b6%d8%a7%d9%87%d8%a7%db%8c-%d8%b7%d8%b1%d8%a7%d8%ad%db%8c-%d8%a8%d8%a7-%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87-%d8%a7%d8%b2\/"},"modified":"2024-03-05T11:11:35","modified_gmt":"2024-03-05T12:11:35","slug":"%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%a8%d8%af%db%8c%d9%84-%d9%81%d8%b6%d8%a7%d9%87%d8%a7%db%8c-%d8%b7%d8%b1%d8%a7%d8%ad%db%8c-%d8%a8%d8%a7-%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87-%d8%a7%d8%b2","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%a8%d8%af%db%8c%d9%84-%d9%81%d8%b6%d8%a7%d9%87%d8%a7%db%8c-%d8%b7%d8%b1%d8%a7%d8%ad%db%8c-%d8%a8%d8%a7-%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87-%d8%a7%d8%b2\/","title":{"rendered":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0628\u062f\u06cc\u0644 \u0641\u0636\u0627\u0647\u0627\u06cc \u0637\u0631\u0627\u062d\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u06cc\u0644\u062a\u0631\u0647\u0627\u06cc \u067e\u0627\u0631\u062a\u0648-\u0644\u0627\u067e\u0644\u0627\u0633"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\nTransforming Design Spaces Using Pareto-Laplace Filters<\/td>\n<\/tr>\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u0645\u0642\u0627\u0644\u0647 \u062a\u0628\u062f\u06cc\u0644 \u0641\u0636\u0627\u0647\u0627\u06cc \u0637\u0631\u0627\u062d\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u06cc\u0644\u062a\u0631\u0647\u0627\u06cc \u067e\u0627\u0631\u062a\u0648-\u0644\u0627\u067e\u0644\u0627\u0633<\/td>\n<\/tr>\n
\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\nHazhir Aliahmadi, Ruben Perez, Greg van Anders<\/td>\n<\/tr>\n
\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 <\/td>\n\u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n
\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647: <\/td>\nPDF<\/td>\n<\/tr>\n
\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n47<\/td>\n<\/tr>\n
\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a <\/td>\nComputational Engineering, Finance, and Science,Statistical Mechanics,Optimization and Control,\u0645\u0647\u0646\u062f\u0633\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc , \u0627\u0645\u0648\u0631 \u0645\u0627\u0644\u06cc \u0648 \u0639\u0644\u0648\u0645 , \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u0622\u0645\u0627\u0631\u06cc , \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0648 \u06a9\u0646\u062a\u0631\u0644 ,<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a <\/td>\nSubmitted 1 March, 2024; originally announced March 2024. , Comments: 28+19 pages, 3 figures<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u0627\u0631\u0633\u0627\u0644 1 \u0645\u0627\u0631\u0633 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0645\u0627\u0631\u0633 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f \u060c \u0646\u0638\u0631\u0627\u062a: 28+19 \u0635\u0641\u062d\u0647 \u060c 3 \u0634\u06a9\u0644<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n

Optimization is a critical tool for addressing a broad range of human and technical problems. However, the paradox of advanced optimization techniques is that they have maximum utility for problems in which the relationship between the structure of the problem and the ultimate solution is the most obscure. The existence of solution with limited insight contrasts with techniques that have been developed for a broad range of engineering problems where integral transform techniques yield solutions and insight in tandem. Here, we present a “Pareto-Laplace” integral transform framework that can be applied to problems typically studied via optimization. We show that the framework admits related geometric, statistical, and physical representations that provide new forms of insight into relationships between objectives and outcomes. We argue that some known approaches are special cases of this framework, and point to a broad range of problems for further application.<\/p>\n

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