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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.

168,657 papers · 148 categories

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219437656874 · Jun 202019922001200920172026
48 results for UCB-based algorithms

Fine-grained gap-dependent regret bounds for reinforcement learning.

problem Achieving optimal regret bounds for reinforcement learning with suboptimality gaps.
method Developed novel analytical frameworks and refined algorithms for UCB-based and non-UCB-based reinforcement learning.
result Established the first fine-grained gap-dependent regret bounds for both UCB-based and non-UCB-based algorithms.

CMOSS algorithm reduces regret in combinatorial semi-bandits with efficient computation.

problem Efficiently solving combinatorial semi-bandit problems with minimal regret.
method CMOSS algorithm achieves optimal regret bounds with minimal computational overhead.
result CMOSS achieves optimal regret bounds with minimal computational overhead.

FGTSVA improves Thompson Sampling for contextual bandits with optimal variance-aware regret.

problem Optimizing regret bounds for Thompson Sampling in contextual bandits.
method Developed FGTSVA, a variance-aware Thompson Sampling algorithm for contextual bandits with a new decoupling coefficient.
result Achieved optimal regret bound of ildeO(dclogFt=1Tσt2+dc) ilde{O}(\sqrt{\mathrm{dc}\cdot\log|\mathcal{F}|\sum_{t=1}^Tσ_t^2}+\mathrm{dc}).

We study the stochastic contextual bandit problem, where the reward is generated from an unknown function with additive noise. No assumption is made about the reward function other than boundedness. We propose a new algorithm, NeuralUCB, which leverages the representation power of deep neural networks and uses a neural…

2019-11-11abs ↗pdf ↗

The design and performance analysis of bandit algorithms in the presence of stage-wise safety or reliability constraints has recently garnered significant interest. In this work, we consider the linear stochastic bandit problem under additional \textit{linear safety constraints} that need to be satisfied at each round.…

2019-11-06abs ↗pdf ↗

New algorithm eliminates arms to minimize regret in complex bandit problems.

problem Minimizing regret in combinatorial bandit problems with explicit exploration.
method Introduces a novel arm elimination scheme that partitions arms into three categories and incorporates explicit exploration.
result Achieves near-optimal regret in combinatorial multi-armed and linear contextual bandit problems.

New algorithm tackles stochastic bandits with varying arm-dependent delays.

problem Applying existing algorithms to stochastic delayed bandit settings is restricted by strong assumptions on delay distributions.
method Proposes a simple UCB-based algorithm called PatientBandits that weakens assumptions on delay distributions.
result Provides bounds on regret and performance lower bounds for the PatientBandits algorithm.

New algorithm minimizes regret in multi-agent bandit problem with probabilistic communication.

problem Minimizing group regret in multi-agent multi-armed bandit problem with probabilistic communication.
method Proposes a new UCB-based algorithm for decentralized multi-agent multi-armed bandit problem on dd-regular graphs with probabilistic communication.
result The proposed algorithm outperforms state-of-the-art algorithms in minimizing group regret.

We present a new recommendation setting for picking out two items from a given set to be highlighted to a user, based on contextual input. These two items are presented to a user who chooses one of them, possibly stochastically, with a bias that favours the item with the higher value. We propose a second-order algorith…

2015-10-30abs ↗pdf ↗

Maximin UCB algorithm optimizes energy harvesting for sensor networks.

problem Optimizing energy harvesting for sensor nodes in varying environments.
method Modeling as Maximin Multi-Armed Bandits and proposing Maximin UCB algorithm.
result Maximin UCB algorithm achieves performance guarantees similar to UCB1.

New algorithm explores reinforcement learning with noisy data.

problem Exploration in reinforcement learning with complex value functions.
method Randomized exploration with i.i.d. scalar noises and optimistic reward sampling.
result Achieves worst-case regret bound of O~(poly(dEH)T)\widetilde{O}(\mathrm{poly}(d_EH)\sqrt{T}).

Quantum UCB algorithm reduces reinforcement learning regret exponentially.

problem Episodic reinforcement learning with quantum state evolution.
method Upper Confidence Bound (UCB) quantum algorithm with quantum mean estimation.
result Exponential improvement in regret from $\Tilde{\mathcal{O}}(\sqrt{K})$ to $\Tilde{\mathcal{O}}(1)$.

We consider a novel stochastic multi-armed bandit setting, where playing an arm makes it unavailable for a fixed number of time slots thereafter. This models situations where reusing an arm too often is undesirable (e.g. making the same product recommendation repeatedly) or infeasible (e.g. compute job scheduling on ma…

2019-07-27abs ↗pdf ↗

New algorithm optimizes noisy, potentially corrupted functions.

problem Optimizing unknown functions with noisy bandit feedback, especially when evaluations are corrupted.
method Fast-Slow GP-UCB algorithm, combining robust and non-robust evaluations, enlarged confidence bounds.
result Theoretical analysis upper bounds cumulative regret, showing dependencies on corruption level and kernel.

A UCB algorithm reduces regret in cooperative multi-agent graph bandits.

problem Cooperative multi-agent decision-making on a graph with shared rewards.
method Upper Confidence Bound (UCB) algorithm for minimizing regret.
result The Multi-G-UCB algorithm achieves expected regret O(γNlog(T)[KT+DK])O(γN\log(T)[\sqrt{KT} + DK]).

Proposes a new sampling method for online learning with cumulative oversampling.

problem Budgeted Influence Maximization in online learning.
method Cumulative Oversampling (CO) method for online learning.
result CO-based algorithm achieves comparable regret to UCB-based algorithms and performs similarly to Thompson Sampling.

Statistical model checking for PCTL on MDPs using reinforcement learning.

problem Model checking PCTL specifications on MDPs with statistical methods.
method Reinforcement learning for policy search, statistical model checking with UCB-based Q-learning.
result Provably guaranteed statistical model checking method for PCTL specifications on MDPs.

Motivated by the pressing need for efficient optimization in online recommender systems, we revisit the cascading bandit model proposed by Kveton et al. (2015). While Thompson sampling (TS) algorithms have been shown to be empirically superior to Upper Confidence Bound (UCB) algorithms for cascading bandits, theoretica…

2018-10-02abs ↗pdf ↗

New bandit model accounts for user departures in recommender systems.

problem Capturing user departures in recommender systems with multi-armed bandits.
method Proposes a novel multi-armed bandit setup with two types of users and analyzes optimal and efficient algorithms.
result Achieves optimal and efficient learning algorithms for user types and reward probabilities.

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 ↗

New UCB algorithm for learning PSRs with tractable computation and accuracy.

problem Learning predictive state representations in sequential decision-making problems.
method Proposes a novel UCB-type algorithm with a bonus term to estimate PSRs accurately and efficiently.
result First known UCB-type approach for PSRs with guaranteed model accuracy and computational tractability.

UCB exploration improves best arm identification in fixed-budget settings.

problem Best arm identification in fixed-budget scenarios.
method Adaptive allocations based on upper confidence bounds (UCBs) with prior information learning.
result Empirically and theoretically efficient for Bayesian BAI problem with improved performance.

Contrastive UCB improves RL by learning feature representations efficiently.

problem Improving feature learning in RL for online decision making.
method Proposes UCB-based contrastive learning algorithms for RL in MDPs and MGs.
result Proves sample efficiency in learning optimal policies and Nash equilibria.

DMNL bandits optimize assortment choices balancing relevance and diversity.

problem Balancing relevance-driven choice with within-assortment diversity.
method Augments MNL choice probabilities with a submodular diversity function, proposing a white-box UCB-based algorithm.
result Achieves at least a (11e+1)(1-\frac{1}{e+1})-approximate regret bound of $ ilde{O}\left(d \sqrt{T/K} ight)$.

Master-slave architecture tackles combinatorial multi-armed bandits with diversity constraints.

problem Solving top-KK combinatorial multi-armed bandits with non-linear feedback and diversity constraints.
method Master-slave architecture with six slave models, teacher learning, and policy co-training.
result Significantly outperforms existing algorithms in synthetic and real datasets.

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.

This paper analyzes MORL and proposes efficient algorithms to learn Pareto optimal policies.

problem Understanding and efficiently learning Pareto optimal policies in multi-objective reinforcement learning.
method Systematic analysis of optimization targets, reformulation of Tchebycheff scalarization, online UCB-based algorithm, preference-free framework.
result Identification of Tchebycheff scalarization as a favorable method and efficient algorithms for learning Pareto optimal policies.

The paper tackles causal bandits for SEMs, proposing algorithms that avoid estimating 2N2^N reward distributions.

problem Designing an optimal sequence of interventions in causal graphical models to minimize cumulative regret.
method Proposes two algorithms for causal bandits for linear structural equation models (SEMs), avoiding the estimation of 2N2^N reward distributions.
result Cumulative regrets scale as ildeO(dL+12NT) ilde{\cal O} (d^{L+\frac{1}{2}} \sqrt{NT}) under bounded noise and parameter space.

In this paper, we study the dynamic assortment optimization problem under a finite selling season of length TT. At each time period, the seller offers an arriving customer an assortment of substitutable products under a cardinality constraint, and the customer makes the purchase among offered products according to a d…

2018-10-31abs ↗pdf ↗

A decentralized policy achieves logarithmic regret for multi-agent MAB problems with communication constraints.

problem Decentralized policy for multi-agent MAB problems with option availability and communication constraints.
method Upper Confidence Bound (UCB) algorithms with non-stationary stochastic communication protocol.
result Guaranteed logarithmic regret for non-fully connected spatial graphs with communication constraints.

A new method optimizes robustness measures under input uncertainty using randomized Gaussian process upper confidence bound.

problem Optimizing robustness measures under input uncertainty.
method Randomized robustness measure GP-UCB (RRGP-UCB) that samples β from a chi-squared-based distribution.
result RRGP-UCB provides tight bounds on expected regret.

Proposes EE-Net for neural exploration in contextual bandits.

problem Exploitation-Exploration tradeoff in contextual bandits.
method Uses two neural networks: Exploitation and Exploration, to learn reward function and adaptively explore.
result Achieves O(TlogT)\mathcal{O}(\sqrt{T\log T}) regret and outperforms existing methods.

New methods for estimating and inferring nonparametric structural functions and elasticities.

problem Estimating and inferring nonparametric structural functions and their derivatives.
method Data-driven sieve dimension choice and uniform confidence bands construction.
result Optimal estimation and inference procedures with minimax rates of convergence.

Unified framework for scalable black-box optimization.

problem Expensive black-box evaluations in scientific and engineering domains.
method Integrates active learning, multi-armed bandits, and distributed computing.
result Consistently outperforms state-of-the-art black-box optimizers.

A new method optimizes material discovery by balancing exploration and exploitation.

problem Substantial experimental costs and lengthy development periods in material discovery.
method Threshold-Driven UCB-EI Bayesian Optimization (TDUE-BO) method.
result TDUE-BO significantly outperforms traditional BO methods in material discovery.