Choice Prediction With Semidefinite Optimization When Utilities are Correlated

Mishra V. K.; Natarajan K.; Tao H.; Teo C.-P.

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Choice Prediction With Semidefinite Optimization When Utilities are Correlated

机译：公用事业相关时具有半定优化的选择预测

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We consider the problem of making choice prediction by optimizing the expectation of maximum utility in discrete choice situations, and propose a discrete choice model which generates choice probabilities through a semidefinite program. The choice model, termed as the cross moment model (CMM) is parsimonious in that it uses only the mean and covariance information of the utilities. It is encouraging that CMM generates reasonable choice estimates when utilities are correlated even though no distributional assumptions on random utilities are made.

机译：我们考虑了通过优化离散选择情况下的最大效用期望来进行选择预测的问题，并提出了一个通过半定程序生成选择概率的离散选择模型。选择模型（称为交叉矩模型（CMM））是简约的，因为它仅使用效用的均值和协方差信息。令人鼓舞的是，即使未对随机效用做出分布假设，但在效用相互关联时，CMM也会生成合理的选择估计。

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《Automatic Control, IEEE Transactions on》 |2012年第10期|p.2450-2463|共14页
作者
Mishra V. K.; Natarajan K.; Tao H.; Teo C.-P.;
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作者单位

Department of Decision Sciences, NUS Business School, National University of Singapore, Singapore;

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正文语种 eng
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关键词
Cross moment model (CMM); multinomial probit (MNP);

机译：跨矩模型（CMM）;多项式概率（MNP）;

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专利

1. Utility-free heuristic models of two-option choice can mimic predictions of utility-stage models under many conditions [J] . Steven T. Piantadosi, Benjamin Y. Hayden Frontiers in Neuroscience . 2015,第1期

机译：两种选择的无效用启发式模型可以在许多情况下模仿效用阶段模型的预测
2. Response: “Commentary: Utility-free heuristic models of two-option choice can mimic predictions of utility-stage models under many conditions” [J] . Steven T. Piantadosi, Benjamin Y. Hayden Frontiers in Neuroscience . 2015,第2009期

机译：回应：“注释：两选项选择的无效用启发式模型可以在许多条件下模仿效用阶段模型的预测”
3. Commentary: Utility-free heuristic models of two-option choice can mimic predictions of utility-stage models under many conditions [J] . Camillo Padoa-Schioppa Frontiers in Neuroscience . 2015,第2009期

机译：评论：两种选择的无效用启发式模型可以在许多条件下模仿效用阶段模型的预测
4. Preferences-Based Choice Prediction in Evolutionary Multi-objective Optimization [C] . Manish Aggarwal, Justin Heinermann, Stefan Oehmcke, European conference on applications of evolutionary computation . 2017

机译：进化多目标优化中基于偏好的选择预测
5. Memory-Efficient Optimization Over Positive Semidefinite Matrices [D] . Naber, Andrew Thomas. 2020

机译：积极的半纤维矩阵上的记忆有效优化
6. Commentary: Utility-free heuristic models of two-option choice can mimic predictions of utility-stage models under many conditions [O] . Camillo Padoa-Schioppa 2015

机译：评论：两种选择的无效用启发式模型可以在许多条件下模仿效用阶段模型的预测
7. Utility-free heuristic models of two-option choice can mimic predictions of utility-stage models under many conditions [O] . Steven T Piantadosi, Benjamin eHayden 2015

机译：双选项选择的无效实用启发式模型可以在许多条件下模拟公用事业阶段模型的预测
8. VARIANCE OF UTILITY PARAMETER ESTIMATES AND PREDICTIONS IN SIEGEL’S MODEL OF REPETITIVE CHOICE [R] . Albert Madansky 1963

机译：西格尔重复选择模型中效用参数估计的方差和预测

Choice Prediction With Semidefinite Optimization When Utilities are Correlated

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