几种常见的需求模型

文献11, Xin Chen and David Simchi-Levi. Pricing and Inventory Management. https://publish.illinois.edu/xinchen/files/2012/12/pricing_review_2010_final.pdf ↩︎

Smart “Predict, then Optimize”

发表在 Management Science, 2022. DOI: https://doi.org/10.1287/mnsc.2020.3922. Area of review: optimization. Key words: prescriptive analytics; data-driven optimization; machine learning; linear regression This paper proposes a general framework called Smart “Predict, then Op……

Lecture 8: Policy Gradient

This lecture we consider methods that learn a parameterized policy that can select actions without consulting a value function. We denote $\boldsymbol{\theta}$ the policy parameter, and write the policy $$ \pi(a \mid s, \boldsymbol{\theta})=\operatorname{Pr}\left\{A_t=a \mid S_t=s, \boldsymbol{\theta}_t=\boldsymbol{\theta}\right\} $$ If the performance measure……

Online Convex Optimization

Online Convex Optimization $$ \begin{aligned} & \texttt{protocol: Online Convex Optimisation} \\ & \textbf{Given: } \text{ game length } T, \text{ convex and compact action space } \mathcal{K} \subseteq \mathbb{R}^d \\ & \textbf{For } t=1,2, \ldots, T \\ & \quad \text{ The learner……

Stochastic Dominance

Stochastic dominance is a partial order between random variables. The concept arises in decision theory and decision analysis in situations where one gamble (a probability distribution over possible outcomes) can be ranked as superior to another gamble for a broad class of……

Latex Trick

长斜杠 1 \int \limits_{a}^{b} \frac{x}{y} / \int \limits_c^d \frac{x}{y} 结果是: $$ \int \limits_{a}^{b} \frac{x}{y} / \int \limits_c^d \frac{x}{y} $$ 1 \left. \int \limits_{a}^{b} \frac{x}{y} \middle/ \int \limits_c^d \frac{x}{y} \right. 结果是: $$ \left. \int \limits_{a}^{b}……

统计模拟

Rejection sampling 拒绝采样法是生成一个随机变量样本的方法。 如果随机变量 $X$ 取值于 $[a, b]$,且密度函数……