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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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226452678904 · Jun 202019922001200920182026
48 results for switching problem

Study optimal switching under ambiguity in finance.

problem Optimal switching problems under ambiguity in finance.
method Use multidimensional reflected backward stochastic differential equations (RBSDEs) to characterize the optimal switching.
result Value function of optimal switching under ambiguity coincides with solutions to multidimensional RBSDEs with negative switching costs.

Paper tackles utility maximization with job-switching and retirement constraints.

problem Maximizing utility with job-switching and retirement constraints.
method Dual-martingale approach and double obstacle problem theory.
result Characterization of optimal job-switching strategy and wealth boundaries.

The problem of optimal switching between nonlinear autonomous subsystems is investigated in this study where the objective is not only bringing the states to close to the desired point, but also adjusting the switching pattern, in the sense of penalizing switching occurrences and assigning different preferences to util…

2014-11-17abs ↗pdf ↗

Study on revenue management with limited switches, achieving strong performance and reduced switch counts.

problem Resource-constrained dynamic pricing with limited switching constraints.
method Developed algorithms for blind network revenue management and bandits with knapsacks, achieving optimal regret rates.
result Optimal regret rates are fully characterized by a piecewise-constant function of the switching budget and resource constraints.

Optimizes control of hybrid systems with multiple switching processes.

problem Optimal control of hybrid systems with multiple Markov switching processes.
method Combines two separate Markov chains into one synthetic chain, derives HJB equations, and solves the portfolio choice problem.
result Derives explicit solutions and value functions for the optimal control problem.

Optimal switching regret for all segmentations in online convex optimisation.

problem Non-stationary online convex optimisation problems.
method Developed an efficient algorithm to achieve optimal switching regret on every possible segmentation.
result Achieved asymptotically optimal switching regret on every possible segmentation simultaneously.

This paper optimizes trading VIX futures using a regime-switching model.

problem Optimizing VIX futures trading under mean reversion and regime switching.
method Regime-switching model, coupled system of variational inequalities, PSOR method with Crank-Nicolson scheme.
result Illustrates optimal boundaries for VIX futures trading strategies.

The paper explores dynamic regret with switching cost in online decision making.

problem The relation between dynamic regret and switching cost in online decision making.
method Investigates two classic online settings: Online Algorithms (OA) and Online Convex Optimization (OCO). Provides a new theoretical analysis framework.
result The switching cost impacts dynamic regret differently in OA and has no impact in OCO.

New RL algorithm reduces policy switching cost to loglog(T) with similar regret.

problem Low policy switching cost in real-life RL applications.
method Stage-wise exploration and adaptive policy elimination.
result Regret of O(HSAloglogT)O(HSA \log\log T) with O(HSAloglogT)O(HSA \log\log T) switching cost.

Optimal dividend strategy found for risk models with regime switching.

problem Optimal dividend strategy for spectrally negative Markov additive models with regime switching.
method Introduced an auxiliary problem and transformed the original problem into a local optimization problem.
result The refraction-reflection strategy with regime-modulated thresholds is optimal.

Study optimal portfolios in a non-Markovian regime-switching model with random time horizon.

problem Optimal portfolio selection in a market with non-Markovian regime-switching and random time horizon.
method Formulated as a constrained stochastic linear-quadratic optimal control problem, derived closed-form expressions for optimal portfolios and efficient frontier.
result Closed-form expressions for optimal portfolios and efficient frontier derived under non-Markovian regime-switching and random time horizon.

OMGD algorithm optimizes online convex optimization with switching costs and delayed gradients.

problem Optimizing online convex optimization with switching costs and delayed gradients.
method Proposed an online multiple gradient descent (OMGD) algorithm for quadratic and linear switching costs.
result OMGD achieves optimal dynamic regret in the limited information setting.

Study optimal liquidation with multiple regimes using BSDEs with singular terminal values.

problem Optimal liquidation with regime switching in dark pools.
method Introduced a system of BSDEs with jumps and singular terminal values.
result Existence and uniqueness results for the BSDE system are obtained.

New framework for policy gradient methods in continuous time reinforcement learning.

problem Addressing policy gradient methods for continuous time reinforcement learning.
method Control randomisation technique to derive policy gradient representation for various Markovian control problems.
result Demonstrated application to optimal switching problems in the energy sector.

Paper analyzes minimax regret in constrained online convex optimization with limited switching opportunities.

problem Minimizing regret in online convex optimization with limited switching opportunities.
method Introduced fugal game relaxation and mini-batching algorithm to establish minimax regret bounds.
result Minimax regret of switching-constrained OCO is Θ(T / √K).

Adaptive Bayesian Optimization for resource-constrained experiments with switching costs.

problem Sequential experimental design with varying costs for changing design variables.
method Adapted batch algorithms to sequential problem, proposing cost-aware and cost-ignorant methods.
result Cost-aware algorithm outperforms tuned process-constrained algorithms in all settings considered.

Study optimal portfolio selection in a complex market with jumps and regime shifts.

problem Optimal portfolio selection in a market with jumps and regime shifts.
method Modeling a market with Lévy processes and regime switching, using various securities to complete the market, solving the portfolio selection problem for power and logarithmic utilities.
result Conditions for asymptotic-arbitrage-free market and solutions for optimal portfolio selection.

The paper solves a complex control problem with stochastic elements and switching conditions.

problem Non-homogeneous stochastic LQ control with regime switching and random coefficients.
method Explicit optimal control and value obtained through two systems of backward stochastic differential equations (BSDEs). Existence and uniqueness of solutions proved using BMO martingales and contraction mapping method.
result Explicit optimal state feedback control and optimal value derived for the problem.

This paper tackles near-optimal adversarial RL with switching costs, providing algorithms and matching lower bounds.

problem Adversarial RL with switching costs, where loss distribution can be non-stationary or adversarial.
method Developed novel switching-reduced algorithms with matching lower bounds for known and unknown transition functions.
result Achieved near-optimal performance in adversarial RL with switching costs, matching theoretical lower bounds.

The paper develops a new hybrid model for pricing variance swaps.

problem Pricing variance swaps in a model with stochastic volatility and interest rate.
method Hybrid model combining Heston's stochastic volatility and CIR stochastic interest rate with regime-switching.
result A semi-closed form pricing formula for variance swaps is derived.

The study extends asset pricing models to include time-dependent volatility and age-dependent regime switching.

problem Asset pricing in a market with time-varying interest rates and volatilities.
method Extension of Markov-modulated models to semi-Markov processes with age-dependent and time-dependent volatility.
result Option pricing in the extended model is equivalent to solving an integral equation.

The paper derives error bounds for piecewise smooth and switching regression models.

problem Regression problems with target functions switching between different modes.
method Derives generalization error bounds using Rademacher complexities and chaining arguments.
result Error bounds with radical dependency on the number of modes for piecewise smooth regression, and linear dependency for switching regression.

Study on stock trading model with uncertain market status, proving free boundaries and optimal strategies.

problem Optimal trading strategies in a stock market with uncertain market status.
method Free boundary problem, variational inequality system, degenerate operator, C^∞-smoothness.
result All four switching free boundaries are no-overlapping, monotonic, and C^∞-smooth, and their relative localities are completely determined.

Paper presents an efficient algorithm for linear MDP with low switching cost.

problem Large state space reinforcement learning problems with low switching cost.
method First algorithm for linear MDP with low switching cost, achieving near-optimal regret and switching cost.
result Regret bound of $\widetilde{O}\left(\sqrt{d^3H^4K} ight)$ and near-optimal switching cost of $O\left(d H\log K ight)$.

This paper addresses parameter estimation for wave equations with Markovian switching.

problem Parameter estimation for wave equations with abrupt changes.
method Bayesian statistical framework using discrete sparse Bayesian learning.
result Strong performance in parameter estimation for variable coefficient PDEs.

Investigates optimal portfolio selection with regime-switching-induced stock price shocks.

problem Mean-variance portfolio selection with regime-switching and stock price jumps.
method Modeling regime-switching and stock price jumps, deriving optimal portfolio strategy and efficient frontier using ODEs.
result Added complexity due to regime-switching-induced stock price shocks, leading to nonlinear ODEs.

New method forecasts time series with changing variances.

problem Real-world processes with changing variances cannot be captured by classical models.
method State-space model with Markov switching variances, using online learning and expert aggregation.
result Proposed method outperforms traditional expert aggregation and is robust to misspecification.

Study of multi-armed bandits with state-switching rewards using Markov models.

problem Multi-armed bandit problem with state-switching rewards.
method Spectral method-of-moments estimations for hidden Markov models, belief error control, upper-confidence-bound methods.
result Upper bound of O(T2/3logT)O(T^{2/3}\sqrt{\log T}) for the learning algorithm performance.

Study optimal asset liquidation under uncertain drift and volatility changes.

problem Optimal liquidation of assets with unknown drift and stochastic volatility.
method Modelled as a four-dimensional optimal stopping problem, solved using filtering theory and approximating sequences of three-dimensional problems.
result Determined optimal liquidation strategy and structural properties.