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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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48 results for top-k arm selection

Paper optimizes sample selection for top-k arms in stochastic bandits.

problem Identifying the k arms with the largest means in stochastic bandits.
method Developed an elimination-based algorithm with sample complexity matching lower bounds.
result Algorithm strictly dominates state-of-the-art for Best-k-Arm problem.

A new algorithm for selecting top-k arms in extreme contextual bandits with improved efficiency.

problem Selecting top-k arms from a large set with contextual information and limited rewards.
method Proposes an algorithm for both non-extreme and extreme settings, using Inverse Gap Weighting and arm hierarchy models.
result Achieves improved regret guarantees for extreme settings with significant computational and statistical efficiency.

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}).

Polynomial-time algorithms for identifying the best super arm in full-bandit feedback.

problem Finding the best super arm in a set of single arms with full-bandit feedback.
method Proposed polynomial-time bandit algorithms and an approximation algorithm for the 0-1 quadratic maximization problem.
result Polynomial-time algorithms for top-k selection problems.

A new algorithm for top-k combinatorial bandits with full-bandit feedback.

problem Optimizing decisions among subsets of arms with only aggregate rewards observed.
method CSAR algorithm using Hadamard matrices for estimating individual arm rewards.
result Proved a tight lower bound on sample complexity for k=O(1)k=O(1).

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.

A new algorithm THV-UCB reduces regret in multi-objective bandit problems.

problem Maintaining a small set of actions that jointly approximate the Pareto frontier in multi-objective slate selection.
method THV-UCB, an optimistic algorithm that selects arms based on optimistic estimates of their marginal hypervolume contributions.
result The algorithm achieves a gap-free regret bound of ildeO(dnkT) ilde{O}(d\sqrt{nkT}) and a gap-dependent bound of ildeO(nk2.5/Δmin) ilde{O}(nk^{2.5}/Δ_{\min}).

The paper tackles noisy multi-armed bandit problems with improved regret guarantees.

problem Tackling noisy evaluations in multi-armed bandit problems.
method Derives different algorithmic approaches and theoretical guarantees based on the type of observation functions.
result Improved regret guarantees for noisy linear functions of true rewards.

Introduces top-kk regularization for better feature selection in machine learning.

problem Limited ability of existing feature selection methods to reconcile feature representativeness and inter-correlations.
method Top-kk regularization, which induces a sub-architecture on the model's architecture to select informative features and model complex relationships.
result Uniform approximation error bound for top-kk regularization approximating high-dimensional sparse functions.

A new technique called the Simulator analyzes adaptive sampling, improving on existing methods.

problem Analyzing the difficulty of distinguishing good from bad sampling strategies with limited data.
method A novel approach considering the difficulty of distinguishing strategies, matching strengths of Fano and change-of-measure techniques.
result First instance-based lower bounds for top-k problem, revealing new phenomena.

The paper optimizes identifying top kk arms from a fraction of ρρ arms in stochastic bandits.

problem Identifying kk distinct arms among the top ρρ fraction of arms in stochastic bandits with a PAC tolerance.
method The paper considers two cases: known and unknown threshold of top arms' expected rewards. It proves lower bounds and proposes algorithms for each case, showing sample complexity optimality for two algorithms.
result Two algorithms are sample complexity optimal (up to constant factors) and the other two are optimal up to a log factor.

New algorithm for choosing top-K options efficiently with linear space and non-linear feedback.

problem Choosing the best K out of N options at each time instant with efficient trade-off between exploration and exploitation.
method CMAB-SM algorithm, divide-and-conquer strategy, linear space, non-linear feedback.
result Achieves a sub-linear regret bound of $O(K^{ rac{1}{2}}N^{ rac{1}{3}}T^{ rac{2}{3}})$.

Proposes differentiable and sparse top-k operators for neural networks.

problem Discontinuity of top-k operator makes it unsuitable for end-to-end training with backpropagation.
method Formulates top-k as a linear program over permutahedron, introduces p-norm regularization, and uses isotonic optimization.
result Successfully applied to neural network pruning, fine-tuning, and routing.

Unified framework for deferring queries to top-k experts, improving accuracy-cost trade-offs.

problem Limitation of existing L2D frameworks to single-expert deferral.
method Top-kk Learning-to-Defer framework, including adaptive Top-k(x)k(x) variant.
result Superior accuracy-cost trade-offs with multi-expert deferral.

New insights into the top-K sparse softmax gating function for deep learning.

problem Understanding the theoretical effects of the top-K sparse softmax gating function on density and parameter estimations.
method Using a Gaussian mixture of experts, novel loss functions, and theoretical analysis.
result The convergence rates of density and parameter estimations are parametric under certain conditions, but slow under over-specified models.

Proposes a max-utility arm selection strategy for reducing cumulative regret in sequential query recommendations.

problem Reduces cumulative regret in sequential query recommendations for closed loop interactive learning settings.
method Proposes a max-utility arm selection strategy based on the maximum utility of arms.
result Improves cumulative regret substantially compared to baseline algorithms and random selection.

Algorithm learns optimal arm selection in unsupervised sequential selection with contextual information.

problem Learning optimal arm selection in unsupervised sequential selection with contextual information.
method Proposes an algorithm for the contextual USS problem under the CWD property, demonstrating sub-linear regret.
result Demonstrates sub-linear regret for the proposed algorithm.

Proposes learning ordered Top-k attacks for image classification.

problem Vulnerability of DNNs to adversarial attacks, especially white-box targeted attacks.
method Adversarial distillation framework to compute adversarial probability distributions and minimize KL divergence.
result Outperforms C&W method in Top-1 and Top-5 settings for image classification.

New algorithm identifies best arm in rested bandit setting.

problem Best arm identification in rested bandit with decreasing losses.
method Introduced a novel best arm identification problem and analyzed an arm elimination algorithm.
result Regret vanishes as time horizon increases, with convergence rate depending on expected loss function.

Class ambiguity is typical in image classification problems with a large number of classes. When classes are difficult to discriminate, it makes sense to allow k guesses and evaluate classifiers based on the top-k error instead of the standard zero-one loss. We propose top-k multiclass SVM as a direct method to optimiz…

2015-11-20abs ↗pdf ↗

A method for finding most influential sets reduces a complex problem to a sequence of simpler top-kk problems.

problem Identifying most influential subsets in complex models.
method Reduces the problem to a sequence of top-kk problems using Dinkelbach's method.
result The method returns a globally optimal set for the univariate ratio objective, including partial linear models.

Algorithm selects k arms from context-dependent options using Plackett-Luce model.

problem Selecting k arms from context-dependent options with Plackett-Luce feedback.
method Proposes CPPL algorithm inspired by UCB, evaluated on synthetic and real data.
result Demonstrates effectiveness of CPPL algorithm in online algorithm selection.

Study best arm identification in restless Markov multi-armed bandits with state-dependent transitions.

problem Identify the best arm in a multi-armed bandit with time-varying states.
method Propose a sequential policy to select arms without knowing their exact TPMs.
result Upper and lower bounds on expected time to find the best arm match in a special case.

New method selects best exploration strategies in uncertain environments.

problem Selecting optimal strategies in unknown, multi-strategy environments.
method Formulates Multi-Armed Bandits problem with diversity of effects as reward signal.
result Method outperforms fixed mixtures of strategies in diverse, challenging conditions.

Algorithm reduces regret in restless multi-armed bandits by adaptively sequencing arm choices.

problem Minimizing regret in restless multi-armed bandits with unknown dynamics.
method Adaptive Sequencing Rules (ASR) algorithm that selects arms in a consecutive manner.
result Achieves logarithmic regret order with time and finite-sample bound.

New distributions allow greedy arm selection in sparse bandit problems.

problem Sparse contextual bandit problem with sparse parameters and feature distributions.
method Introduced new distribution classes and demonstrated that mixtures of these distributions are also greedy-applicable.
result Greedy algorithm applicable to a wider range of arm feature distributions, including those with origin-asymmetric support.

FedSel uses local differential privacy to protect data privacy in federated SGD.

problem Privacy leakage from gradients in federated SGD.
method Two-stage framework with top-k dimension selection and gradient accumulation.
result FedSel reduces privacy leakage by privately selecting important dimensions.

The paper studies ranking algorithms from pairwise and listwise comparisons, deriving lower bounds and optimal algorithms.

problem Designing efficient ranking algorithms from pairwise and listwise comparisons.
method Deriving lower bounds and proposing optimal algorithms for top-k and total ranking problems.
result The proposed algorithms match the derived lower bounds and are optimal up to a logarithmic factor.