Proposes a robust equilibrium strategy for mean-variance portfolio selection.
arXiv research
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Study uses RL to hedge financial derivatives, showing robust strategies outperform non-robust ones.
We consider robust optimization problems, where the goal is to optimize an unknown objective function against the worst-case realization of an uncertain parameter. For this setting, we design a novel sample-efficient algorithm GP-MRO, which sequentially learns about the unknown objective from noisy point evaluations. G…
The paper analyzes investment and consumption strategies under uncertain market conditions.
The aim of this paper is to compare the performances of the optimal strategy under parameters mis-specification and of a technical analysis trading strategy. The setting we consider is that of a stochastic asset price model where the trend follows an unobservable Ornstein-Uhlenbeck process. For both strategies, we prov…
Investor optimizes investment and consumption under uncertain market conditions with constraints.
Paper analyzes robust strategies in a pension plan game with ambiguous financial markets.
Develops optimal trading strategy for illiquid currency pairs.
Index tracking is a popular form of asset management. Typically, a quadratic function is used to define the tracking error of a portfolio and the look back approach is applied to solve the index tracking problem. We argue that a forward looking approach is more suitable, whereby the tracking error is expressed as expec…
Paper develops a robust federated recommendation system against poisoning attacks.
This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without derivative trading. To illustrate the effects of ambiguity, we compare our optimal rob…
Adaptive robust strategy improves online portfolio selection by managing market trends and costs.
The existence of optimal strategy in robust utility maximization is addressed when the utility function is finite on the entire real line. A delicate problem in this case is to find a "good definition" of admissible strategies, so that an optimizer is obtained. Under suitable assumptions, especially a time-consistency …
Study optimizes option pricing with robust strategies, ensuring consistency with vanilla option prices.
Deep neural networks identify robust arbitrage strategies in financial markets.
GAN approach optimizes investment under market uncertainty.
A new sampling strategy improves reliability and robustness optimization for complex designs.
We study robust stochastic optimization problems in the quasi-sure setting in discrete-time. The strategies in the multi-period-case are restricted to those taking values in a discrete set. The optimization problems under consideration are not concave. We provide conditions under which a maximizer exists. The class of …
Study quantifies model risk in dynamic portfolio selection using KL divergence.
We proposed a new Portfolio Management method termed as Robust Log-Optimal Strategy (RLOS), which ameliorates the General Log-Optimal Strategy (GLOS) by approximating the traditional objective function with quadratic Taylor expansion. It avoids GLOS's complex CDF estimation process,hence resists the "Butterfly Effect" …
Proposes a robust Q-learning method to improve treatment strategy estimation.
Study optimizes financial strategies in markets with uncertain drift.
In this paper we investigate a utility maximization problem with drift uncertainty in a multivariate continuous-time Black-Scholes type financial market which may be incomplete. We impose a constraint on the admissible strategies that prevents a pure bond investment and we include uncertainty by means of ellipsoidal un…
Deep neural networks have achieved impressive performance in many applications but their large number of parameters lead to significant computational and storage overheads. Several recent works attempt to mitigate these overheads by designing compact networks using pruning of connections. However, we observe that most …
The paper assesses machine learning robustness with covariate perturbations.
In this paper, we study the adversarial robustness of subspace learning problems. Different from the assumptions made in existing work on robust subspace learning where data samples are contaminated by gross sparse outliers or small dense noises, we consider a more powerful adversary who can first observe the data matr…
Optimal early liquidation strategy reduces financial losses during crises.
Optimal financial strategies minimize risk under uncertain models.
Synthesizes robust estimators for domain adaptation.
It is challenging for stochastic optimizations to handle large-scale sensitive data safely. Recently, Duchi et al. proposed private sampling strategy to solve privacy leakage in stochastic optimizations. However, this strategy leads to robustness degeneration, since this strategy is equal to the noise injection on each…
This paper studies insurers' robust strategies in a stochastic game with model uncertainty and volatility risk.
Deep RL trains a robust humanoid push-recovery policy.
New robustness metric helps select reliable classifiers.
Non-parametric bootstrap improves robust portfolio and trading strategy optimization.
Proposes robust model through Wasserstein geodesic interpolation of training data.
This project improves model robustness to affine transformations.
This paper addresses the question of how to invest in a robust growth-optimal way in a market where the instantaneous expected return of the underlying process is unknown. The optimal investment strategy is identified using a generalized version of the principal eigenfunction for an elliptic second-order differential o…
This paper tackles robust growth maximization with stochastic factors, finding optimal strategies independent of the factor process.
Study optimizes trading strategies in markets with transaction costs and uncertain models.
Transfer learning, in which a network is trained on one task and re-purposed on another, is often used to produce neural network classifiers when data is scarce or full-scale training is too costly. When the goal is to produce a model that is not only accurate but also adversarially robust, data scarcity and computatio…
We consider the martingale optimal transport duality for càdlàg processes with given initial and terminal laws. Strong duality and existence of dual optimizers (robust semi-static superhedging strategies) are proved for a class of payoffs that includes American, Asian, Bermudan, and European options with intermediate m…
We introduce a dynamic credit portfolio framework where optimal investment strategies are robust against misspecifications of the reference credit model. The risk-averse investor models his fear of credit risk misspecification by considering a set of plausible alternatives whose expected log likelihood ratios are penal…
We consider the problem of robustly maximizing the growth rate of investor wealth in the presence of model uncertainty. Possible models are all those under which the assets' region and instantaneous covariation are known, and where additionally the assets are stable in that their occupancy time measures converg…
This paper studies a robust continuous-time Markowitz portfolio selection pro\-blem where the model uncertainty carries on the covariance matrix of multiple risky assets. This problem is formulated into a min-max mean-variance problem over a set of non-dominated probability measures that is solved by a McKean-Vlasov dy…
Investigates model risk and semi-static hedging for martingale constrained models.
This study optimizes trading strategy parameters using walk-forward techniques and finds robust performance.
Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current robust loss functions, however, inevitably involve hyperparameter(s) to be tuned, manually or heuristically through cross validation, which makes them fairly hard to be generally applied in practice. Besides, t…
Neural networks are known to be vulnerable to adversarial examples. Carefully chosen perturbations to real images, while imperceptible to humans, induce misclassification and threaten the reliability of deep learning systems in the wild. To guard against adversarial examples, we take inspiration from game theory and ca…