Recent advances in robust optimization: An overview
This paper provides an overview of developments in robust optimization since 2007. It seeks
to give a representative picture of the research topics most explored in recent years …
to give a representative picture of the research topics most explored in recent years …
Higher-order moments in portfolio selection problems: A comprehensive literature review
Markowitz's portfolio selection model has been the biggest step-forward in financial decision
making and has been the central point of research since its inception. The mean–variance …
making and has been the central point of research since its inception. The mean–variance …
Financial machine learning
We survey the nascent literature on machine learning in the study of financial markets. We
highlight the best examples of what this line of research has to offer and recommend …
highlight the best examples of what this line of research has to offer and recommend …
60 years of portfolio optimization: Practical challenges and current trends
The concepts of portfolio optimization and diversification have been instrumental in the
development and understanding of financial markets and financial decision making. In light …
development and understanding of financial markets and financial decision making. In light …
Forest through the trees: Building cross-sections of stock returns
We build cross-sections of asset returns for a given set of characteristics, that is, managed
portfolios serving as test assets, as well as building blocks for tradable risk factors. We use …
portfolios serving as test assets, as well as building blocks for tradable risk factors. We use …
Robust solutions of optimization problems affected by uncertain probabilities
In this paper we focus on robust linear optimization problems with uncertainty regions
defined by φ-divergences (for example, chi-squared, Hellinger, Kullback–Leibler). We show …
defined by φ-divergences (for example, chi-squared, Hellinger, Kullback–Leibler). We show …
Markowitz meets Talmud: A combination of sophisticated and naive diversification strategies
The modern portfolio theory pioneered by Markowitz (1952) is widely used in practice and
extensively taught to MBAs. However, the estimated Markowitz portfolio rule and most of its …
extensively taught to MBAs. However, the estimated Markowitz portfolio rule and most of its …
Portfolio selection with higher moments
We propose a method for optimal portfolio selection using a Bayesian decision theoretic
framework that addresses two major shortcomings of the traditional Markowitz approach: the …
framework that addresses two major shortcomings of the traditional Markowitz approach: the …
Portfolio selection problems with Markowitz's mean–variance framework: a review of literature
Since the pioneering work of Harry Markowitz, mean–variance portfolio selection model has
been widely used in both theoretical and empirical studies, which maximizes the investment …
been widely used in both theoretical and empirical studies, which maximizes the investment …
Multi-period trading via convex optimization
We consider a basic model of multi-period trading, which can be used to evaluate the
performance of a trading strategy. We describe a framework for single-period optimization …
performance of a trading strategy. We describe a framework for single-period optimization …