arXiv research

The paper develops a new approach to conditional risk measures using modular convex analysis.

Efficiently computes optimal policies for Entropic Risk Measures.

We introduce the entropic measure transform (EMT) problem for a general process and prove the existence of a unique optimal measure characterizing the solution. The density process of the optimal measure is characterized using a semimartingale BSDE under general conditions. The EMT is used to reinterpret the conditiona…

New risk measures incorporate economic states to assess crude oil derivatives.

Researchers calculated EVaR for various distributions using Lambert function.

New risk measures control subgroup imbalances, improving PAC-Bayesian bounds.

New method corrects bias in estimating entropic risk for better decision-making.

Using elements from the theory of ergodic backward stochastic differential equations (BSDE), we study the behavior of forward entropic risk measures. We provide their general representation results (via both BSDE and convex duality) and examine their behavior for risk positions of long maturities. We show that forward …

ERTS uses Thompson sampling for Gaussian entropic risk bandits, achieving regret bounds.

The paper mentioned in the title introduces the entropic value at risk. I give some extra comments and using the general theory make a relation with some commonotone risk measures.

Paper proposes risk-averse reinforcement learning algorithms.

Proposes a method to generate counterfactuals for ensemble models using entropic risk measures.

Investment strategy optimizes risk using a specific risk measure.

This paper introduces new risk measures for evaluating losses with varying time horizons.

Paper introduces Lambda EVaR, a new risk measure.

Study risk-sensitive reinforcement learning with entropic risk measures and generative models.

Overview of risk-sensitive Markov decision processes with Optimized Certainty Equivalent.

Proposes a new derivative concept for nonlinear DRO problems.

A new framework tightens risk measure confidence bounds.

Solves risk-sensitive investment via duality, entropic regularization, and RL.

New risk measure considers horizon risk and interest rate uncertainty.

Equivalent characterizations of multiportfolio time consistency are deduced for closed convex and coherent set-valued risk measures on $L^p(Ω,\mathcal F, P; R^d)$ with image space in the power set of $L^p(Ω,\mathcal F_t,P;R^d)$. In the convex case, multiportfolio time consistency is equivalent to a cocycle condition on…

The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). As important properties, the EVaR is strongly monotone over its domain and strictly monotone over a broad sub-domain including all continuous distributions, wh…

In this paper, we provide a representation theorem for dynamic capital allocation under It{ô}-L{é}vy model. We consider the representation of dynamic risk measures defined under Backward Stochastic Differential Equations (BSDE) with generators that grow quadratic-exponentially in the control variables. Dynamic capital …

A method for calculating multi-portfolio time consistent multivariate risk measures in discrete time is presented. Market models for $d$ assets with transaction costs or illiquidity and possible trading constraints are considered on a finite probability space. The set of capital requirements at each time and state is c…

We generalize Quasi-Linear Means by restricting to the tail of the risk distribution and show that this can be a useful quantity in risk management since it comprises in its general form the Value at Risk, the Tail Value at Risk and the Entropic Risk Measure in a unified way. We then investigate the fundamental propert…

Understanding and measuring model risk is important to financial practitioners. However, there lacks a non-parametric approach to model risk quantification in a dynamic setting and with path-dependent losses. We propose a complete theory generalizing the relative-entropic approach by Glasserman and Xu to the dynamic ca…

This paper is devoted to study the optimal portfolio problem. Harry Markowitz's Ph.D. thesis prepared the ground for the mathematical theory of finance. In modern portfolio theory, we typically find asset returns that are modeled by a random variable with an elliptical distribution and the notion of portfolio risk is d…

Study gap-dependent regret bounds for risk-sensitive RL.

This work addresses time inconsistency in risk measures and develops a dynamic programming principle for risk minimization problems.

Improved sample complexity for identifying best policies in risk-sensitive reinforcement learning.

Risk measures for multivariate financial positions are studied in a utility-based framework. Under a certain incomplete preference relation, shortfall and divergence risk measures are defined as the optimal values of specific set minimization problems. The dual relationship between these two classes of multivariate ris…

Generalizes risk sharing models to a continuum of agents.

An Entropic Dynamics of exchange rates is laid down to model the dynamics of foreign exchange rates, FX, and European Options on FX. The main objective is to represent an alternative framework to model dynamics. Entropic inference is an inductive inference framework equipped with proper tools to handle situations where…

The paper studies risk-sensitive MDPs with recursive risk measures.

Sharp bounds found for various risk measures using generalized FGM copulas.

The paper studies risk-sensitive learning schemes and provides learning bounds for empirical OCE minimizers.

New concept of partial law invariance connects decision theory and financial risk management.

The left tail of the implied volatility skew, coming from quotes on out-of-the-money put options, can be thought to reflect the market's assessment of the risk of a huge drop in stock prices. We analyze how this market information can be integrated into the theoretical framework of convex monetary measures of risk. In …

We study the problem of portfolio insurance from the point of view of a fund manager, who guarantees to the investor that the portfolio value at maturity will be above a fixed threshold. If, at maturity, the portfolio value is below the guaranteed level, a third party will refund the investor up to the guarantee. In ex…

The paper introduces submodular information measures for machine learning applications.

A new RL framework for risk-sensitive decision-making using convex scoring functions.

Study entropic regularization of Gaussian measures and processes on Hilbert space.

Unified framework for risk-aware policy learning in contextual bandits.

New algorithms reduce risk in reinforcement learning with provable regret bounds.

Mathematical conditions and practical computations for adversarial robustness measures are established.

We develop an entropic framework to model the dynamics of stocks and European Options. Entropic inference is an inductive inference framework equipped with proper tools to handle situations where incomplete information is available. The objective of the paper is to lay down an alternative framework for modeling dynamic…

We prove several fundamental statistical bounds for entropic OT with the squared Euclidean cost between subgaussian probability measures in arbitrary dimension. First, through a new sample complexity result we establish the rate of convergence of entropic OT for empirical measures. Our analysis improves exponentially o…