- Beck, A. First-Order Methods in Optimization; Society for Industrial and Applied Mathematics and Mathematical Optimization Society: Philadelphia, PA, USA, 2017.
Paper not yet in RePEc: Add citation now
Behr, P.; Guettler, A.; Miebs, F. On portfolio optimization: Imposing the right constraints. J. Bank. Financ. 2013, 37, 1232â1242. [CrossRef]
- Ben-Tal, A.; Nemirovski, A.; Roos, C. Robust solutions of uncertain quadratic and conic-quadratic problems. SIAM J. Optim. 2002, 13, 535â560. [CrossRef]
Paper not yet in RePEc: Add citation now
- Bertsimas, D.; Dunn, J. Machine Learning under a Modern Optimization Lens; Dynamic Ideas LLC: Charlestown, MA, USA, 2019.
Paper not yet in RePEc: Add citation now
- Brodie, J.; Daubechies, I.; De Mol, C.; Giannone, D.; Loris, I. Sparse and stable markowitz portfolios. Proc. Natl. Acad. Sci. USA 2009, 106, 12267â12272. [CrossRef] [PubMed]
Paper not yet in RePEc: Add citation now
Busse, J.A.; Chordia, T.; Jiang, L.; Tang, Y. Transaction costs, portfolio characteristics, and mutual fund performance. Manag. Sci. 2021, 67, 1227â1248. [CrossRef]
Chou, R.K.; Chung, H. Decimalization, trading costs, and information transmission between etfs and index futures. J. Futur. Mark. 2006, 26, 131â151. [CrossRef]
- Costa, C.M.; Kreber, D.; Schmidta, M. An alternating method for cardinality-constrained optimization: A computational study for the best subset selection and sparse portfolio problems. Informs J. Comput. 2022, 34, 2968â2988. [CrossRef]
Paper not yet in RePEc: Add citation now
DeMiguel, V.; Garlappi, L.; Nogales, F.J.; Uppal, R. A generalized approach to portfolio optimization: Improving performance by constraining portfolio norms. Manag. Sci. 2009, 55, 798C812. [CrossRef]
DeMiguel, V.; Garlappi, L.; Uppal, R. Optimal versus naive diversification: How in-efficient is the 1/n portfolio strategy? Rev. Financ. Stud. 2009, 22, 1915â1953. [CrossRef]
- El Ghaoui, L.; Oustry, F.; Lebret, H. Robust solutions to uncertain semidefinite programs. SIAM J. Optim. 1998, 9, 33â52. [CrossRef]
Paper not yet in RePEc: Add citation now
Fabozzi, F.J.; Huang, D.; Zhou, G. Robust portfolios: Contributions from operations research and finance. Ann. Oper. Res. 2010, 176, 191â220. [CrossRef]
- Fabozzi, F.J.; Kolm, P.N.; Pachamanova, D.A.; Focardi, S.M. Robust portfolio optimization. J. Portf. Manag. 2007, 33, 40. [CrossRef]
Paper not yet in RePEc: Add citation now
Fan, J.; Zhang, J.; Yu, K. Vast portfolio selection with gross-exposure constraints. J. Am. Stat. Assoc. 2012, 107, 592â606. [CrossRef]
- Geissler, B.; Morsi, A.; Schewe, L.; Schmidt, M. Penalty alternating direction methods for mixed-integer optimization: A new view on feasibility pumps. SIAM J. Optim. 2017, 27, 1611â1636. [CrossRef]
Paper not yet in RePEc: Add citation now
Ghahtarani, A.; Saif, A.; Ghasemi, A. Robust portfolio selection problems: A comprehensive review. Oper. Res. 2022, 22, 3203â3264. [CrossRef]
Goldfarb, D.; Iyengar, G. Robust portfolio selection problems. Math. Oper. Res. 2003, 28, 1â38. [CrossRef]
Hautsch, N.; Voigt, S. Large-scale portfolio allocation under transaction costs and model uncertainty. J. Econom. 2019, 212, 221â240. [CrossRef]
- Heckel, T.; de Carvahlo, R.; Lu, X.; Perchet, R. Insights into robust optimization: Decomposing into mean-variance and risk-based portfolios. J. Invest. Strateg. 2016, 6, 1â24. [CrossRef]
Paper not yet in RePEc: Add citation now
Jagannathan, R.; Ma, T. Risk reduction in large portfolios: Why imposing the wrong constraints helps. J. Financ. 2003, 58, 1651â1683. [CrossRef]
Kan, R.; Wang, X.; Zhou, G. Optimal portfolio choice with estimation risk: No risk-free asset case. Manag. Sci. 2022, 68, 2047â2068. [CrossRef]
Khodamoradi, T.; Salahi, M.; Najafi, A.R. Robust CCMV model with short selling and risk-neutral interest rate. Phys. A Stat. Mech. Its Appl. 2020, 547, 124429. [CrossRef]
- Lai, Z.R.; Yang, P.Y.; Fang, L.; Wu, X. Short-term sparse portfolio optimization based on alternating direction method of multipliers. J. Mach. Learn. Res. 2018, 19, 2547â2574.
Paper not yet in RePEc: Add citation now
Ledoit, O.; Wolf, M. A well-conditioned estimator for large-dimensional covariance matrices. J. Multivar. Anal. 2004, 88, 365â411. [CrossRef]
Ledoit, O.; Wolf, M. Improved estimation of the covariance matrix of stock returns with an application to portfolio selection. J. Empir. Financ. 2003, 10, 603â621. [CrossRef]
- Ledoit, O.; Wolf, M. Nonlinear shrinkage of the covariance matrix for portfolio selection: Markowitz meets goldilocks. Rev. Financ. Stud. 2017, 30, 4349â4388. [CrossRef]
Paper not yet in RePEc: Add citation now
- Lee, Y.; Kim, M.J.; Kim, J.H.; Jang, J.R.; Chang, K.W. Sparse and robust portfolio selection via semi-definite relaxation. J. Oper. Res. 2020, 71, 687â699. [CrossRef]
Paper not yet in RePEc: Add citation now
- Leyffer, S.; Menickelly, M.; Munson, T.; Vanaret, C.; Wild, S.M. A survey of nonlinear robust optimization. INFOR: Inf. Syst. Oper. Res. 2020, 58, 342â373. [CrossRef]
Paper not yet in RePEc: Add citation now
- Lobo, M.S.; Boyd, S. The Worst-Case Risk of a Portfolio. Unpublished Manuscript. Available online: Available online: http: //faculty.fuqua.duke.edu/(2000)%7Emlobo/bio/researchfiles/rsk-bnd.pdf (accessed on 13 July 2022).
Paper not yet in RePEc: Add citation now
- Min, L.; Dong, J.; Liu, J.; Gong, X. Robust mean-risk portfolio optimization using machine learning-based trade-off parameter. Appl. Soft Comput. 2021, 113, 107948. [CrossRef]
Paper not yet in RePEc: Add citation now
- Mordukhovich, B.S.; Nguyen, M.M. An Easy Path to Convex Analysis and Applications; Morgan and Claypool Publishers Series: San Rafael, CA, USA, 2014.
Paper not yet in RePEc: Add citation now
- Mutunge, P.; Haugl, ; D. Minimizing the tracking error of cardinality constrained portfolios. Comput. Oper. Res. 2018, 90, 33â41. [CrossRef]
Paper not yet in RePEc: Add citation now
- Pınar, M.Ã. On robust mean-variance portfolios. Optimization 2016, 65, 1039â1048. [CrossRef]
Paper not yet in RePEc: Add citation now
- Pan, L.; Xiu, N.; Fan, J. Optimality conditions for sparsity nonlinear programming. Sci. China Math. 2017, 60, 759â776. [CrossRef]
Paper not yet in RePEc: Add citation now
Scutella, M.G.; Recchia, R. Robust portfolio asset allocation and risk measures. Ann. Oper. Res. 2013, 204, 145â169. [CrossRef]
- Shen, W.; Wang, J.; Ma, S. Doubly regularized portfolio with risk minimization. In Proceedings of the Twenty-Eighth AAAI Conference on Artificial Intelligence, Québec City, QC, Canada, 27â31 July 2014. Disclaimer/Publisherâs Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
Paper not yet in RePEc: Add citation now
- Swain, P.; Ojha, A.K. Robust approach for uncertain portfolio allocation problems under box uncertainty. In Recent Trends in Applied Mathematics: Select Proceedings of AMSE; Springer: Singapore, 2019; pp. 347â356.
Paper not yet in RePEc: Add citation now
Tütüncü, R.H.; Koenig, M. Robust asset allocation. Ann. Oper. Res. 2004, 132, 157â187. [CrossRef]
- Teng, Y.; Yang, L.; Yu, B.; Song, X. A penalty PALM method for sparse portfolio selection problems. Optim. Methods Softw. 2017, 32, 126â147. [CrossRef] Mathematics 2023, 11, 4925 20 of 20
Paper not yet in RePEc: Add citation now
- Wang, Y.; Gao, S.; Yu, Y.; Cai, Z.; Wang, Z. A gravitational search algorithm with hierarchy and distributed framework. Knowl.-Based Syst. 2021, 218, 106877. [CrossRef]
Paper not yet in RePEc: Add citation now
- Won, J.H.; Kim, S.J. Robust trade-off portfolio selection. Optim. Eng. 2020, 21, 867-904. [CrossRef]
Paper not yet in RePEc: Add citation now
Xidonas, P.; Steuer, R.; Hassapis, C. Robust portfolio optimization: A categorized bibliographic review. Ann. Oper. Res. 2020, 292, 533â552. [CrossRef] Mathematics 2023, 11, 4925 19 of 20
Yen, Y.M.; Yen, T.J. Solving norm constrained portfolio optimization via coordinate-wise descent algorithms. Comput. Stat. Data Anal. 2014, 76, 737â759. [CrossRef]
- Yin, C.; Perchet, R.; SoupeÌ, F. A practical guide to robust portfolio optimization. Quant. Financ. 2021, 21, 911â928. [CrossRef]
Paper not yet in RePEc: Add citation now
Yu, J.R.; Chiou, W.J.P.; Lee, W.Y.; ; Lin, S.J. Portfolio models with return forecasting and transaction costs. Int. Rev. Econ. Financ. 2020, 66, 118â130. [CrossRef]
Zhao, H.; Kong, L.; Qi, H.D. Optimal portfolio selections via `12-norm regularization. Comput. Optim. Appl. 2021, 80, 853â881. [CrossRef]
- Zhao, Z.; Xu, F.; Du, D.; Meihua, W. Robust portfolio rebalancing with cardinality and diversification constraints. Quant. Financ. 2021, 21, 1707â1721. [CrossRef]
Paper not yet in RePEc: Add citation now