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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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4386129172 · Jun 202019922001200920172026
48 results for Correlated Bandits

Improved control approach for correlated bandits with better performance.

problem General multi-armed bandit problem with correlated elements.
method Introducing entropy regularisation to obtain a smooth asymptotic approximation of the value function, leading to a semi-index approximation of the optimal decision process.
result Performance of Asymptotic Randomised Control (ARC) algorithm compares favorably with other approaches.

Simplifies large action space bandits by selecting representative actions.

problem Efficiently managing large action spaces with correlated outcomes.
method Random sampling and solving of bandit instances to identify representative actions.
result The algorithm selects a smaller set of representative actions that perform nearly as well as the full action space.

ARC algorithm optimizes dynamic pricing with correlated observations.

problem Optimizing dynamic pricing with correlated and generally distributed observations.
method Extends ARC algorithm to batched bandits with generalised linear model.
result ARC algorithm outperforms alternative approaches in dynamic pricing.

While the objective in traditional multi-armed bandit problems is to find the arm with the highest mean, in many settings, finding an arm that best captures information about other arms is of interest. This objective, however, requires learning the underlying correlation structure and not just the means of the arms. Se…

2019-02-08abs ↗pdf ↗

New method uses correlated auxiliary feedback to reduce regret in parameterized bandits.

problem Reducing regret in parameterized bandits with correlated auxiliary feedback.
method Develops a reward estimator using auxiliary feedback with tight confidence bounds.
result Shows significant reduction in regret compared to standard methods.

We consider a novel multi-armed bandit framework where the rewards obtained by pulling the arms are functions of a common latent random variable. The correlation between arms due to the common random source can be used to design a generalized upper-confidence-bound (UCB) algorithm that identifies certain arms as $non-c…

2018-08-17abs ↗pdf ↗

Unified Bayesian framework for efficient off-policy evaluation and learning in large action spaces.

problem Efficient off-policy evaluation and learning in systems with correlated actions.
method Unified Bayesian framework with structured priors and sDM approach.
result sDM leverages action correlations without compromising computational efficiency.

Optimizing rewards under budget constraints with correlated costs and rewards.

problem Maximizing total expected reward under a budget constraint on total cost with correlated and potentially heavy-tailed cost-reward pairs.
method Proposes algorithms exploiting correlation between cost and reward via linear minimum mean-square error estimation to achieve tight regret bounds.
result Achieves O(logB)O(\log B) regret for a budget B>0B>0 under certain moment conditions.

AGG-UCB uses neural networks to optimize group behaviors in contextual bandits.

problem Optimizing group behaviors in contextual bandits with mutual impacts.
method Introduces Arm Group Graph (AGG) and AGG-UCB algorithm using neural networks and graph neural networks.
result Achieves near-optimal regret bound with over-parameterized neural networks.

Contextual multi-armed bandit algorithms are widely used in sequential decision tasks such as news article recommendation systems, web page ad placement algorithms, and mobile health. Most of the existing algorithms have regret proportional to a polynomial function of the context dimension, dd. In many applications ho…

2019-07-26abs ↗pdf ↗

New setting combines state evolution and corrupted context for better decision-making.

problem Decision-making in a changing state with unreliable context.
method Proposes a new algorithm using a referee to dynamically combine contextual bandit and multi-armed bandit policies.
result Improved empirical performance compared to existing algorithms.

DART optimizes subset selection in non-linear bandit problems.

problem Optimizing subset selection in non-linear bandit problems with correlated rewards.
method DART algorithm for combinatorial bandits without individual arm feedback or linearity assumption.
result DART achieves a regret bound of ildeO(KKNT) ilde{\mathcal{O}}(K\sqrt{KNT}).

In this paper we consider the problem of online stochastic optimization of a locally smooth function under bandit feedback. We introduce the high-confidence tree (HCT) algorithm, a novel any-time X\mathcal{X}-armed bandit algorithm, and derive regret bounds matching the performance of existing state-of-the-art in term…

2014-02-04abs ↗pdf ↗

Paper develops efficient algorithms for learning rationalizable equilibria in multiplayer games.

problem Learning rationalizable behavior in multiplayer games under bandit feedback.
method New algorithms for finding rationalizable Coarse Correlated Equilibria and Correlated Equilibria with polynomial sample complexity.
result Achieved polynomial sample complexity for learning rationalizable equilibria, improving over existing exponential complexity.

The medoid of a set of n points is the point in the set that minimizes the sum of distances to other points. It can be determined exactly in O(n^2) time by computing the distances between all pairs of points. Previous works show that one can significantly reduce the number of distance computations needed by adaptively …

2019-06-11abs ↗pdf ↗

Paper introduces a bandit-learning method for multifidelity approximations.

problem Efficiently using data of varying fidelities in scientific computation.
method Formulates multifidelity approximation as a modified stochastic bandit problem and proposes AETC algorithm.
result Established optimality of AETC algorithm for multifidelity approximation.

New algorithms ensure fair selection in combinatorial semi-bandit with unrestricted delays.

problem Fair selection in stochastic combinatorial semi-bandit with delayed feedback.
method Introduced merit-based fairness constraints and new bandit algorithms for reward and fairness.
result Achieved sublinear expected reward and fairness regrets with dependence on delay distribution quantiles.

We consider the problem of learning to play a repeated multi-agent game with an unknown reward function. Single player online learning algorithms attain strong regret bounds when provided with full information feedback, which unfortunately is unavailable in many real-world scenarios. Bandit feedback alone, i.e., observ…

2019-09-18abs ↗pdf ↗

Optimal algorithm for contextual bandits with unknown context distributions.

problem Designing efficient algorithms for contextual bandits with unknown context distributions.
method Cross-learning setting, novel technique for coordinating multiple epochs.
result Nearly tight regret bound of O~(TK)\widetilde{O}(\sqrt{TK}) for learning to bid in first-price auctions and sleeping bandits.

This paper extends combinatorial semi-bandits to graph feedback, improving regret bounds.

problem Adversarial combinatorial semi-bandits with graph feedback.
method Introduced graph feedback in combinatorial semi-bandits, using convexified actions and online stochastic mirror descent.
result Optimal regret scales as ST+αSTS\sqrt{T}+\sqrt{αST}, interpolating between full and semi-bandit feedback.

Optimizes resource allocation for distributed parameter estimation in sensor networks.

problem Maximizing accuracy in parameter estimation with limited resources.
method Formulates a data collection and collaboration policy design problem as a Fisher information maximization problem. Proposes multi-armed bandit algorithms for learning the optimal policy.
result Identifies optimal data collection and collaboration policies that balance resource use and estimation accuracy.

Improves text classification on new domains using distance-based measures and dynamic domain selection.

problem Improving text classification performance on new domains with limited labeled data.
method Develops DistanceNet and DistanceNet-Bandit models using distance measures to adapt to new domains.
result DistanceNet and DistanceNet-Bandit models outperform baseline methods in unsupervised domain adaptation.

New algorithms boost SAT solver performance by optimizing restart strategies.

problem Optimizing decision-making under time constraints with restarts.
method Developed online learning algorithms for a bandit problem with controlled restarts.
result Achieved O(log(τ))O(\log(τ)) and O(τlog(τ))O(\sqrt{τ\log(τ)}) regret bounds.

Motivated by online recommendation and advertising systems, we consider a causal model for stochastic contextual bandits with a latent low-dimensional confounder. In our model, there are LL observed contexts and KK arms of the bandit. The observed context influences the reward obtained through a latent confounder var…

2016-06-01abs ↗pdf ↗

This paper studies the Best-of-K Bandit game: At each time the player chooses a subset S among all N-choose-K possible options and observes reward max(X(i) : i in S) where X is a random vector drawn from a joint distribution. The objective is to identify the subset that achieves the highest expected reward with high pr…

2016-03-09abs ↗pdf ↗

Two novel methods identify influential features in CMABs for better reward distribution.

problem Suboptimal features degrade rewards, interpretability, and efficiency in CMABs.
method Heterogeneous Incremental Effect (HIE) and Heterogeneous Distribution Divergence (HDD) methods.
result Consistent ability to identify influential HTE features, enhancing CMAB performance.

A new method reduces feature screening cost from O(np)O(np) to O(np)O(\sqrt{n}p).

problem Eliminating non-informative features in ultrahigh-dimensional datasets.
method Adaptive subsampling method based on multi-armed bandit problem.
result The proposed method retains sure screening property and comparable performance to SIS.

Data-driven method for error estimation without needing class complexity.

problem Constructing confidence intervals for a class of estimates.
method Data-driven approach to derive high-probability upper bounds on maximum error.
result Method naturally adapts to unknown correlation structures and works for finite and infinite classes.

New algorithm reduces reinforcement learning regret for linear MDPs with unknown transitions.

problem Adversarial linear mixture MDPs with bandit feedback and unknown transition.
method Proposes a new algorithm with a least square estimator and self-normalized concentration.
result Achieves improved regret bound with high probability.

Algorithm optimizes bandit decisions with changing action sets using Gaussian processes.

problem Optimizing decisions in a bandit problem with time-varying action sets.
method Proposes an algorithm called O'CLOK-UCB using Gaussian processes to handle changing action sets and contexts.
result Achieves regret bound of ildeO(λ(K)KTγKT(tTXt)) ilde{O}(\sqrt{λ^*(K)KTγ_{KT}(\cup_{t\leq T}\mathcal{X}_t)} ) with high probability.