arXiv research

Optimistic Hedge achieves optimal regret bounds in two-player zero-sum games.

Markowitz' celebrated optimal portfolio theory generally fails to deliver out-of-sample diversification. In this note, we propose a new portfolio construction strategy based on symmetry arguments only, leading to "Eigenrisk Parity" portfolios that achieve equal realized risk on all the principal components of the covar…

Bayesian classifier improves robustness with optimistic score ratio.

We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo $4π^2$.

Proposes Optimistic Pessimistically Initialised Q-Learning (OPIQ) for better exploration in RL.

We discuss the relative merits of optimistic and randomized approaches to exploration in reinforcement learning. Optimistic approaches presented in the literature apply an optimistic boost to the value estimate at each state-action pair and select actions that are greedy with respect to the resulting optimistic value f…

The optimistic limit is the mathematical formulation of the classical limit which is a physical method to expect the actual limit by using saddle point method of certain potential function. The original optimistic limit of the Kashaev invariant was formulated by Yokota, and a modified formulation was suggested by the a…

Optimistic estimate predicts best fitting performance of nonlinear models.

New algorithm reduces regret in sequential decision-making problems.

Optimistic NPG improves policy optimization in online RL with efficient sample complexity.

Characterizes concept classes for optimistic online learning.

We show how to take any two parameter-free online learning algorithms with different regret guarantees and obtain a single algorithm whose regret is the minimum of the two base algorithms. Our method is embarrassingly simple: just add the iterates. This trick can generate efficient algorithms that adapt to many norms s…

New algorithms reduce forecasting errors by leveraging optimistic learning and hinting.

Omega method mitigates noise in stochastic game optimization.

New method minimizes regret in AMDP with high probability.

Unified framework for model- and value-optimistic reinforcement learning.

It is well known that in stochastic multi-armed bandits (MAB), the sample mean of an arm is typically not an unbiased estimator of its true mean. In this paper, we decouple three different sources of this selection bias: adaptive \emph{sampling} of arms, adaptive \emph{stopping} of the experiment, and adaptively \emph{…

Efficiently solves exploration-exploitation in LQR using Lagrangian relaxation.

Proposes H-UCRL for efficient model-based RL with sublinear regret.

A fundamental problem arising in many areas of machine learning is the evaluation of the likelihood of a given observation under different nominal distributions. Frequently, these nominal distributions are themselves estimated from data, which makes them susceptible to estimation errors. We thus propose to replace each…

New method for optimistic planning in MDPs using regularization.

Optimistic method adapted for faster convex-concave min-max problems.

This paper develops a model of reference-dependent assessment of subjective beliefs in which loss-averse people optimally choose the expectation as the reference point to balance the current felicity from the optimistic anticipation and the future disappointment from the realisation. The choice of over-optimism or over…

Optimistic PPO variant solves linear MDPs with improved regret bound.

Study optimizes linear regression analysis for high-dimensional settings.

Novel approach to universal online learning for bounded losses, closing open problems.

We address the issue of limit cycling behavior in training Generative Adversarial Networks and propose the use of Optimistic Mirror Decent (OMD) for training Wasserstein GANs. Recent theoretical results have shown that optimistic mirror decent (OMD) can enjoy faster regret rates in the context of zero-sum games. WGANs …

Solves open problem on universally consistent online learning with unbounded losses.

Paper uses RL for dynamic swaption hedging, outperforming traditional methods.

Optimistic bounds for multi-output learning using self-bounding Lipschitz condition.

In this paper, we prove some convergence results of a special case of optimistic policy iteration algorithm for stochastic shortest path problem. We consider both Monte Carlo and $TD(λ)$ methods for the policy evaluation step under the condition that the termination state will eventually be reached almost surely.

Study develops efficient nested deep hedging method for derivatives pricing.

Neural-SDE models improve option hedging with lower errors and robustness.

Study tests if deep hedging differs from delta hedging in a GARCH market model.

Paper proposes a natural hedging framework with graphical assessment for longevity risk management.

Accelerates policy optimization in RL with optimistic and adaptive updates.

This article analyzes the relationship between co-persistence and hedging which indicates co-persistence ratio is just the long-term hedging ratio. The new method of exhaustive search algorithm for deriving co-persistence ratio is derived in the article. And we also develop a new hedging strategy of combining co-persis…

This paper examines the volatility and covariance dynamics of cash and futures contracts that underlie the Optimal Hedge Ratio (OHR) across different hedging time horizons. We examine whether hedge ratios calculated over a short term hedging horizon can be scaled and successfully applied to longer term horizons. We als…

Deep learning enhances options hedging performance.

Unified framework for model-based RL with sample complexity guarantees.

Adversarial deep hedging learns to hedge without specifying asset price models.

New method reduces training time for deep hedging networks.

Optimistic pricing algorithm handles online dynamic pricing with censored demand.

Deep Hedging learns optimal strategies for various risk levels.

Geometric structure reveals optimal investment and hedging products.

Yokota suggested an optimistic limit method of the Kashaev invariants of hyperbolic knots and showed it determines the complex volumes of the knots. His method is very effective and gives almost combinatorial method of calculating the complex volumes. However, to describe the triangulation of the knot complement, he re…

The paper compares traditional regression with modern neural network methods for financial hedging and risk compression.

New algorithms solve linear bandits in high dimensions efficiently.