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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.

168,695 papers · 148 categories

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104208312416 · Jun 202019922001200920172026
48 results for stochastic actions

Stochastic Q-learning tackles large action spaces with reduced computation.

problem Effective decision-making in complex environments with large discrete action spaces.
method Stochastic value-based RL approaches that consider a sublinear number of actions in each iteration.
result Stochastic Q-learning achieves near-optimal returns with significantly reduced computation time.

Unified reinforcement learning and stochastic processes with action-driven processes.

problem Combining reinforcement learning and stochastic processes for efficient control.
method Action-driven processes, leveraging control-as-inference, and minimizing Kullback-Leibler divergence.
result Action-driven processes unify reinforcement learning and stochastic processes, equivalent to maximum entropy reinforcement learning.

The Markov decision process (MDP) formulation used to model many real-world sequential decision making problems does not efficiently capture the setting where the set of available decisions (actions) at each time step is stochastic. Recently, the stochastic action set Markov decision process (SAS-MDP) formulation has b…

2019-06-05abs ↗pdf ↗

Off-policy stochastic actor-critic methods rely on approximating the stochastic policy gradient in order to derive an optimal policy. One may also derive the optimal policy by approximating the action-value gradient. The use of action-value gradients is desirable as policy improvement occurs along the direction of stee…

2017-03-06abs ↗pdf ↗

Quantum stochastic flow computes heat kernel traces for Ricci flat manifolds.

problem Computing heat kernel traces for Ricci flat manifolds.
method Quantum stochastic differential equation (qsde) on Fock space over L2L^2 differential 1-forms, adapted flow construction.
result Trace of the connection Laplacian heat kernel can be computed over any compact Ricci-flat Riemannian manifold.

The paper tackles counterfactual learning for stochastic policies with continuous actions.

problem Learning stochastic policies with continuous actions from logged data.
method Introduces a joint kernel embedding of contexts and actions to model continuous actions, and uses proximal point algorithms and smooth estimators for optimization.
result Demonstrates the benefits of using proximal point algorithms and smooth estimators for counterfactual learning.

Method predicts future rewards from past actions in a linear Gaussian system.

problem Maximizing cumulative reward in a stochastic multi-armed bandit with linear Gaussian dynamics.
method Proposes a method using a modified Kalman filter to predict future rewards based on past rewards.
result Reward from any action can be used to predict another action's future reward.

Algorithm maximizes rewards with a budget and giving up option.

problem Sequential decision-making with stochastic rewards and resource consumption.
method Upper Confidence Bound (UCB) algorithm for maximizing cumulative reward.
result Logarithmic regret bound with improved dependence on problem parameters.

FinFlowRL combines imitation and reinforcement learning for better financial control.

problem Traditional stochastic control methods fail in real-world finance due to changing market conditions.
method FinFlowRL uses imitation learning to pretrain an adaptive meta policy, then finetunes it with reinforcement learning.
result FinFlowRL consistently outperforms individual strategies across various market conditions.

Model-free learning for multi-agent stochastic games is an active area of research. Existing reinforcement learning algorithms, however, are often restricted to zero-sum games, and are applicable only in small state-action spaces or other simplified settings. Here, we develop a new data efficient Deep-Q-learning method…

2019-04-23abs ↗pdf ↗

New algorithm reduces regret in private online learning with optimal gap-dependent rate.

problem Optimal gap-dependent regret rate for private stochastic decision-theoretic online learning.
method Horizon-free pure-DP algorithm with exponential block partitioning and softmax selection.
result Explicit regret bound of 1000(logKΔmin+logKε)1000 \cdot (\frac{\log K}{Δ_{\min}}+\frac{\log K}{\varepsilon}).

TOFU-POV tackles partially observed linear bandits, achieving sublinear regret with low-dimensional action vectors.

problem Stochastic linear bandits with partially observed actions in settings like recommendation and healthcare.
method TOFU-POV estimates latent action subspace, imputes missing actions, and runs OFUL in low-dimensional coordinates.
result TOFU-POV achieves T\sqrt{T} regret scaling with intrinsic subspace dimension, improving upon natural baselines.

Investigates spontaneous symmetry breaking in non-equilibrium systems.

problem Spontaneous symmetry breaking of ergodicity in non-equilibrium systems.
method Mathematical and effective field theory approaches to investigate symmetry breaking.
result Symmetry breaking phenomena observed in stochastic processes.

Paper solves stochastic contextual linear bandits using linear bandit algorithms.

problem Stochastic contextual linear bandits with unknown context distribution.
method Establishes a reduction framework to convert to linear bandit problems.
result Achieves nearly optimal regret bound of O(dTlogT)O(d\sqrt{T\log T}).

We studied isometric stochastic flows of a Stratonovich stochastic differential equation on spheres, i.e. on the standard sphere and Gromoll-Meyer exotic sphere. The standard sphere Ss7S^7_s can be constructed as the quotient manifold Sp(2,H)/S3\mathrm{Sp}(2, \mathbb{H})/S^3 with the so-called {\bullet}-action of S3S^3, where…

2019-08-06abs ↗pdf ↗

Study shows how to learn optimal policies quickly in stochastic control problems.

problem Learning optimal policies in large, continuous state and action spaces with limited data.
method Analyzes three geometric exponents to quantify fast policy regret convergence.
result Shows that fast policy regret convergence is induced by specific geometric structures.

New algorithms handle unpredictable actions in sequential learning.

problem Learning with unreliable composite actions in online optimization.
method Follow-The-Perturbed-Leader method with Counting Asleep Times loss estimation.
result Significant improvement in performance guarantees for sleeping bandit problem.

New method for linear bandits with unknown sparsity, improving sparse regret bounds.

problem Sparse regret bounds for unknown sparsity and adversarial action sets.
method Combines online to confidence set conversions with randomized model selection over nested confidence sets.
result First sparse regret bounds for unknown sparsity and adversarial action sets.

PQR estimates reward functions from actions and states without assuming state-only rewards.

problem Estimating reward functions from actions and states without state-only assumptions.
method Deep learning approach that sequentially estimates policy, Q-function, and reward.
result PQR uniquely recovers true reward with known transitions and bounds error with unknown transitions.

FinFlowRL learns from experts to optimize financial control in changing markets.

problem Traditional finance control methods fail in real-world, non-stationary markets.
method Imitation-Reinforcement Learning framework that pretrains on expert strategies and finetunes in noise space.
result Consistently outperforms individually optimized experts across diverse market conditions.

This paper investigates the adversarial Bandits with Knapsack (BwK) online learning problem, where a player repeatedly chooses to perform an action, pays the corresponding cost, and receives a reward associated with the action. The player is constrained by the maximum budget BB that can be spent to perform actions, an…

2018-10-23abs ↗pdf ↗

The existence of stationary Markov perfect equilibria in stochastic games is shown under a general condition called "(decomposable) coarser transition kernels". This result covers various earlier existence results on correlated equilibria, noisy stochastic games, stochastic games with finite actions and state-independe…

2013-11-07abs ↗pdf ↗

New approach handles stochastic and partially-observable environments using discrete autoencoders and Monte Carlo tree search.

problem Challenges in planning for stochastic and partially-observable environments.
method Uses discrete autoencoders and a stochastic variant of Monte Carlo tree search.
result Significantly outperforms MuZero on stochastic chess and scales to DeepMind Lab.

Stochastic games provide a framework for interactions among multiple agents and enable a myriad of applications. In these games, agents decide on actions simultaneously, the state of every agent moves to the next state, and each agent receives a reward. However, finding an equilibrium (if exists) in this game is often …

2019-05-30abs ↗pdf ↗

Develops a machine learning framework for computing most probable paths in stochastic systems.

problem Computing the most probable paths in stochastic dynamical systems.
method Reformulates the boundary value problem of Hamiltonian systems and uses a neural network to solve the Euler-Lagrange equation for the Onsager-Machlup action functional.
result Demonstrates the efficacy and accuracy of the machine learning approach in computing most probable paths for stochastic systems with various types of noise.

Improved reinforcement learning for episodes with varying action sets.

problem Reinforcement learning with context-dependent action sets.
method Extends MVP algorithm to handle adversarial and stochastic contexts.
result Established minimax regret bounds of O(SAH3KlogL)O(\sqrt{SAH^3K\log L}) for adversarial contexts.

New method uses hindsight to make exploration robust in stochastic environments.

problem Exploration in sparse-reward or reward-free environments, especially in stochastic settings.
method Learn representations of the future that capture unpredictable aspects, using them to predict and reward only the predictable parts of the world.
result Improves exploration in Atari games and Montezuma's Revenge, robust to stochasticity.

User engagement in online social networking depends critically on the level of social activity in the corresponding platform--the number of online actions, such as posts, shares or replies, taken by their users. Can we design data-driven algorithms to increase social activity? At a user level, such algorithms may incre…

2018-02-19abs ↗pdf ↗

Study robust control for systems with continuous states using adversarial perturbations.

problem Fragile policies in Markov control models under internal or external perturbations.
method Distributionally robust stochastic control with adaptive adversarial perturbations.
result Optimal robust policies for continuous state systems with uniform learning guarantees.

In many practical problems, a learning agent may want to learn the best action in hindsight without ever taking a bad action, which is significantly worse than the default production action. In general, this is impossible because the agent has to explore unknown actions, some of which can be bad, to learn better action…

2018-06-03abs ↗pdf ↗

We propose expected policy gradients (EPG), which unify stochastic policy gradients (SPG) and deterministic policy gradients (DPG) for reinforcement learning. Inspired by expected sarsa, EPG integrates (or sums) across actions when estimating the gradient, instead of relying only on the action in the sampled trajectory…

2018-01-10abs ↗pdf ↗

Improved ExO method achieves near-optimal bounds in both stochastic and adversarial settings.

problem Finding optimal exploration strategies in online decision-making with limited feedback.
method Exploration by Optimization with hybrid regularizers for locally observable games.
result Achieved nearly optimal bounds of O(aeqak2m2logT/Δa)O(\sum_{a eq a^*} k^2 m^2 \log T / Δ_a) in stochastic and adversarial environments.

New method reduces ensemble size for linear bandits, achieving near optimal regret.

problem Achieving near optimal regret in linear bandits with limited ensemble size.
method Ensemble sampling with a size of order dlogTd \log T for a dd-dimensional stochastic linear bandit.
result Regret is at most (dlogT)5/2T(d \log T)^{5/2} \sqrt{T}, improving over linear scaling with TT.

New algorithms reduce regret in both stochastic and adversarial partial monitoring problems.

problem Partial monitoring with kk-actions and dd-outcomes.
method Follow-the-regularized-leader framework, exploration by optimization, adaptive learning rate.
result Best-of-both-worlds algorithms with favorable regret bounds in stochastic and adversarial settings.

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic multi-armed bandit problem with safety constraints that depend (linearly) on an unkn…

2019-08-16abs ↗pdf ↗

We derive a consistent differential representation for the dynamics of a self-financing portfolio for different hedging strategies. In the basis of the derivation there is the so called "retarded action principle", which represents the causality in the evolution of dependent stochastic variables. We demonstrate this pr…

2015-09-30abs ↗pdf ↗

We study adversarial attacks that manipulate the reward signals to control the actions chosen by a stochastic multi-armed bandit algorithm. We propose the first attack against two popular bandit algorithms: εε-greedy and UCB, \emph{without} knowledge of the mean rewards. The attacker is able to spend only logarithmic …

2018-10-29abs ↗pdf ↗

We propose expected policy gradients (EPG), which unify stochastic policy gradients (SPG) and deterministic policy gradients (DPG) for reinforcement learning. Inspired by expected sarsa, EPG integrates across the action when estimating the gradient, instead of relying only on the action in the sampled trajectory. We es…

2017-06-15abs ↗pdf ↗