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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.

168,742 papers · 148 categories

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4181122162 · Jun 202019922001200920172026
48 results for near-optimal actions

Approximate models help RL by reducing policy search space.

problem How much does an approximate model help in learning near-optimal policies in RL?
method Study sample complexity in RL with an approximate model, providing an algorithm and a lower bound.
result An approximate model can reduce sample complexity by eliminating sub-optimal actions.

Near-optimal per-action regret bounds for sleeping bandits are derived.

problem Optimizing performance in sleeping bandits where arms and losses are chosen by an adversary.
method Directly minimizing per-action regret using generalized versions of EXP3, EXP3-IX, and FTRL with Tsallis entropy.
result Near-optimal bounds of order O(TAlnK)O(\sqrt{TA\ln{K}}) and O(TAK)O(\sqrt{T\sqrt{AK}}) are obtained.

Solves action selection for large spaces in RL, achieving near-optimal performance.

problem Selecting a small, representative subset of actions from a large, shared action space.
method Extends meta-bandit approach to MDPs, using a relaxed sub-Gaussian process model.
result Achieves performance comparable to full action space, with theoretical guarantees.

Any reinforcement learning algorithm that applies to all Markov decision processes (MDPs) will suffer Ω(SAT)Ω(\sqrt{SAT}) regret on some MDP, where TT is the elapsed time and SS and AA are the cardinalities of the state and action spaces. This implies T=Ω(SA)T = Ω(SA) time to guarantee a near-optimal policy. In many settings…

2014-03-15abs ↗pdf ↗

The paper extends Thompson Sampling to infinite action spaces using information theory.

problem Addressing the limitation of finite action spaces in Thompson Sampling.
method Information-theoretic analysis, extending rate-distortion theory to infinite action spaces.
result Derives a near-optimal regret bound for bandits with infinite and continuous action spaces.

Algorithm reduces regret in safe Bayesian optimization with monotonicity constraints.

problem Sequentially maximize unknown function with safety constraints.
method Sequential algorithms using Gaussian processes with safety constraints modeled as monotonicity.
result Sublinear regret achieved for expanding safe region and finding optimal ss.

New algorithm finds near-optimal policies efficiently in zero-sum games.

problem Lack of provable efficiency guarantees for policy optimization in zero-sum games.
method Policy optimization algorithm with function approximation.
result Proves efficient convergence to near-optimal policies with polynomial samples and iterations.

We provide a simple and efficient algorithm for adversarial kk-action dd-outcome non-degenerate locally observable partial monitoring game for which the nn-round minimax regret is bounded by 6(d+1)k3/2nlog(k)6(d+1) k^{3/2} \sqrt{n \log(k)}, matching the best known information-theoretic upper bound. The same algorithm also achieves…

2019-07-12abs ↗pdf ↗

Study lenient regret and good-action identification in Gaussian process bandits.

problem Optimizing function values above a certain threshold in Gaussian process bandits.
method Study lenient regret notions and introduce algorithms for finding good actions.
result Upper and lower bounds on lenient regret for GP-UCB and elimination algorithms.

A new RL approach learns near-equivalent actions for healthcare decisions.

problem Finding optimal actions in healthcare settings where actions may be near-equivalent.
method Temporal difference learning with a near-greedy heuristic for action selection.
result The proposed algorithm discovers meaningful near-equivalent actions and converges well.

Framework reduces contextual bandit learning to offline regression with near-optimal regret.

problem Efficient learning with large action spaces and complex reward functions.
method Offline Estimation to Decisions (OE2D) algorithm that minimizes regret with near-optimal oracle calls.
result Near-optimal regret for contextual bandits with large action spaces and O(log(T))O(log(T)) offline oracle calls.

We consider interactive learning and covering problems, in a setting where actions may incur different costs, depending on the response to the action. We propose a natural greedy algorithm for response-dependent costs. We bound the approximation factor of this greedy algorithm in active learning settings as well as in …

2016-02-23abs ↗pdf ↗

OE2D framework reduces contextual bandits to offline regression for near-optimal regret.

problem Efficiently learning contextual bandits with large action spaces and complex reward functions.
method Offline Estimation to Decisions (OE2D) algorithm that reduces contextual bandits to offline regression.
result Near-optimal regret for contextual bandits with large action spaces and O(logT)O(\log T) calls to an offline regression oracle.

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.

A new method, Count-MORL, improves offline reinforcement learning by using state-action frequency.

problem Improving offline reinforcement learning performance.
method Integrates count-based conservatism into model-based offline reinforcement learning.
result The learned policy is near-optimal and outperforms existing methods.

We study an exploration method for model-free RL that generalizes the counter-based exploration bonus methods and takes into account long term exploratory value of actions rather than a single step look-ahead. We propose a model-free RL method that modifies Delayed Q-learning and utilizes the long-term exploration bonu…

2018-08-31abs ↗pdf ↗

Sample inefficiency is a long-lasting problem in reinforcement learning (RL). The state-of-the-art estimates the optimal action values while it usually involves an extensive search over the state-action space and unstable optimization. Towards the sample-efficient RL, we propose ranking policy gradient (RPG), a policy …

2019-06-24abs ↗pdf ↗

We study Imitation Learning (IL) from Observations alone (ILFO) in large-scale MDPs. While most IL algorithms rely on an expert to directly provide actions to the learner, in this setting the expert only supplies sequences of observations. We design a new model-free algorithm for ILFO, Forward Adversarial Imitation Lea…

2019-05-27abs ↗pdf ↗

StepMix algorithm ensures safe exploration in reinforcement learning with near-optimal performance.

problem Conservative exploration in reinforcement learning under episode-wise constraints.
method StepMix algorithm balances exploitation and exploration while ensuring episode-wise conservative constraint.
result StepMix achieves near-optimal regret order as in the constraint-free setting.

Paper studies S-rectangular DR-RL models for robust reinforcement learning with near-optimal sample complexity.

problem Addressing distributional discrepancies in reinforcement learning environments.
method Empirical value iteration algorithm for divergence-based S-rectangular DR-RL models.
result Near-optimal sample complexity bound of O(SA(1γ)4ε2)O(|\mathcal{S}||\mathcal{A}|(1-γ)^{-4}\varepsilon^{-2}).

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.

The paper proposes a principle for dynamically adjusting the granularity of reinforcement learning abstractions.

problem Lack of general principles for dynamically adjusting the granularity of reinforcement learning abstractions.
method The paper proposes a principle based on rate-distortion theory, formalized through a performance certificate decomposing value error into learning and abstraction error bounds.
result Soft state-action abstractions can achieve near-optimal performance under substantial lossy compression of state and action information.

Neural Index Policy for multi-action bandits with heterogeneous budgets.

problem Real-world settings often involve multiple interventions with heterogeneous costs and constraints, breaking classical assumptions.
method Introduces a Neural Index Policy (NIP) that learns to assign budget-aware indices to arm-action pairs using a neural network and differentiable knapsack layer.
result Empirically achieves near-optimal performance while strictly enforcing heterogeneous budgets and scaling to hundreds of arms.

Paper solves learning imperfect-information games with fewer episodes.

problem Learning imperfect-information extensive-form games from bandit feedback.
method Balanced Online Mirror Descent and Balanced Counterfactual Regret Minimization algorithms.
result Achieves near-optimal sample complexity for finding approximate Nash equilibria.

We address the problem of regret minimization in logistic contextual bandits, where a learner decides among sequential actions or arms given their respective contexts to maximize binary rewards. Using a fast inference procedure with Polya-Gamma distributed augmentation variables, we propose an improved version of Thomp…

2018-05-18abs ↗pdf ↗

Bayesian method estimates dynamics from near-optimal trajectories.

problem Estimating dynamics from near-optimal expert trajectories in reinforcement learning.
method Constraint-based Bayesian approach integrating expert near-optimality.
result Significant improvements in decision-making and transfer success.

Paper tackles non-stationary kernelized bandits with near-optimal algorithm.

problem Minimizing regret in a time-varying reward function.
method Near-optimal algorithm with a novel restarting phased elimination with random permutation (R-PERP).
result Regret upper bound matches the lower bound, making the algorithm near-optimal.

Pessimistic Q-learning improves sample efficiency in offline reinforcement learning.

problem Insufficient coverage and sample scarcity in offline reinforcement learning datasets.
method Pessimistic Q-learning algorithm for offline reinforcement learning, focusing on variance reduction.
result Near-optimal sample complexity achieved with the proposed algorithm.

We initiate the study of multi-stage episodic reinforcement learning under adversarial corruptions in both the rewards and the transition probabilities of the underlying system extending recent results for the special case of stochastic bandits. We provide a framework which modifies the aggressive exploration enjoyed b…

2019-11-20abs ↗pdf ↗

Hybrid Policy Optimization tackles reinforcement learning in hybrid spaces, improving performance over PPO.

problem Credit assignment issues and biased gradients in hybrid discrete-continuous action spaces.
method Mixed gradient estimator combining pathwise and score-function gradients, reformulating problems in hybrid form.
result HPO substantially outperforms PPO on inventory control and switched systems, with performance gaps increasing with continuous action dimension.

Study of reinforcement learning with additional feedback observations.

problem Episodic reinforcement learning in Markov decision processes with feedback observations.
method Formalization of feedback graph, model-based algorithms leveraging feedback, regret bound analysis.
result Regret bound depends only on the size of the maximum acyclic subgraph of the feedback graph.