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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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68136203271 · Jun 202019922001200920172026
48 results for adaptive rounding

Optimizes sample and round complexity in adaptive sampling from multiple distributions.

problem Adaptive sampling from multiple distributions with limited rounds and samples.
method Introduces OODS framework and analyzes tradeoffs between sample and round complexity.
result Achieves near-optimal sample complexity and sub-polynomial round complexity.

New algorithms for streaming bandits with limited memory.

problem Optimizing decisions in a stream of uncertain outcomes with limited memory.
method Developed algorithms for minimizing regret and identifying the best arm under bounded memory constraints.
result Upper and lower bounds on sample complexity for best-arm identification algorithms.

Adaptive sequential decision making is one of the central challenges in machine learning and artificial intelligence. In such problems, the goal is to design an interactive policy that plans for an action to take, from a finite set of nn actions, given some partial observations. It has been shown that in many applicat…

2019-11-09abs ↗pdf ↗

New algorithm reduces adaptation lag in online model selection.

problem Adaptation lag in online model selection for non-stationary environments.
method Optimistic online mirror descent with safeguarded large learning rates.
result Reduces adaptation lag from hundreds of rounds to a few rounds.

Two algorithms achieve optimal regret with limited adaptivity in multinomial logistic bandits.

problem Achieving optimal regret with limited adaptivity in multinomial logistic bandits.
method Presented two algorithms, B-MNL-CB and RS-MNL, for batched and rarely-switching paradigms.
result Achieved ildeO(T) ilde{O}(\sqrt{T}) regret with limited adaptivity.

Efficient methods reduce projections in non-stationary online learning.

problem Optimizing dynamic and adaptive regret in non-stationary online learning environments.
method Presented efficient methods reducing the number of projections per round from O(logT)O(\log T) to 11.
result Reduced number of projections per round from O(logT)O(\log T) to 11 for optimizing dynamic and adaptive regret.

Optimizes biomolecular simulations by ranking adaptive sampling policies.

problem Efficiently sampling biomolecular systems to capture complex dynamical behaviors.
method Metric-driven ranking of adaptive sampling policies to identify the optimal policy for each round.
result Different adaptive sampling policies lead to faster convergence and improved sampling performance.

We study an extension of the classic stochastic multi-armed bandit problem which involves multiple plays and Markovian rewards in the rested bandits setting. In order to tackle this problem we consider an adaptive allocation rule which at each stage combines the information from the sample means of all the arms, with t…

2020-01-30abs ↗pdf ↗

We study Online Convex Optimization in the unbounded setting where neither predictions nor gradient are constrained. The goal is to simultaneously adapt to both the sequence of gradients and the comparator. We first develop parameter-free and scale-free algorithms for a simplified setting with hints. We present two ver…

2020-02-27abs ↗pdf ↗

Dynamic SBI improves SBI efficiency without rounds, reducing simulation and training costs.

problem Efficiently perform complex scientific inference with high-dimensional data.
method Adaptive dataset transformation, parallel simulation and training.
result Significant improvements in simulation and training efficiency.

New algorithm achieves near-optimal performance in dueling bandit problem.

problem Optimizing decision-making in dueling bandit problems with limited adaptive rounds.
method Developed a batched algorithm that matches the asymptotic regret bounds of sequential algorithms under the Condorcet condition.
result Asymptotic regret of O(K2log2(K))+O(Klog(T))O(K^2\log^2(K)) + O(K\log(T)) in O(log(T))O(\log(T)) rounds.

We introduce the community exploration problem that has many real-world applications such as online advertising. In the problem, an explorer allocates limited budget to explore communities so as to maximize the number of members he could meet. We provide a systematic study of the community exploration problem, from off…

2018-11-13abs ↗pdf ↗

New method achieves both universality and adaptivity in online convex optimization.

problem Achieve optimal regret guarantees without prior knowledge of function curvature.
method Introduces UniGrad, a novel approach that achieves both universality and adaptivity.
result Achieves universal regret guarantees that adapt to gradient variation.

DynBRO learns robustly from dynamic Byzantine workers.

problem Fault-tolerant distributed learning with dynamic Byzantine workers.
method Multi-level Monte Carlo (MLMC) gradient estimation and adaptive learning rate.
result DynaBRO nearly matches static setting's convergence rate with O(T)\mathcal{O}(\sqrt{T}) Byzantine worker changes.

aLTT selects hyperparameters efficiently with statistical guarantees.

problem Statistical validity and efficiency in hyperparameter selection.
method Sequential data-dependent multiple hypothesis testing with early termination.
result Reduces testing rounds while maintaining statistical validity.

Delaytron learns multi-class classifiers with delayed feedbacks, achieving efficient regret bounds.

problem Learning multi-class classifiers with delayed bandit feedbacks where delays are unknown.
method Online algorithm Delaytron with adaptive learning for unknown delays.
result Achieves efficient regret bounds for various loss scenarios.

The paper ranks experts based on task performance with noisy evaluations.

problem Ranking experts based on their performance across multiple tasks with noisy evaluations.
method Develops adaptive strategies for ranking experts with a bound on the number of queries.
result Proves strategies allowing to recover the correct ranking of experts with high probability.

We consider the problem of learning a general graph G=(V,E)G=(V,E) using edge-detecting queries, where the number of vertices V=n|V|=n is given to the learner. The information theoretic lower bound gives mlognm\log n for the number of queries, where m=Em=|E| is the number of edges. In case the number of edges mm is also given t…

2018-03-28abs ↗pdf ↗

This paper solves the best arm identification problem with both quick commitment and reward maximization.

problem Simultaneously identifying the best arm and minimizing regret in a stochastic Multi-Armed Bandit problem.
method Introduces Regret Optimal Best Arm Identification (ROBAI) and presents algorithms EOCP and its variants.
result Achieves asymptotic optimal regret and quick commitment to the optimal arm in both pre-determined and adaptive stopping times.

We propose the first fully-adaptive algorithm for pure exploration in linear bandits---the task to find the arm with the largest expected reward, which depends on an unknown parameter linearly. While existing methods partially or entirely fix sequences of arm selections before observing rewards, our method adaptively c…

2017-10-16abs ↗pdf ↗

In this paper we describe a new algorithm called Fast Adaptive Sequencing Technique (FAST) for maximizing a monotone submodular function under a cardinality constraint kk whose approximation ratio is arbitrarily close to 11/e1-1/e, is O(log(n)log2(logk))O(\log(n) \log^2(\log k)) adaptive, and uses a total of O(nloglog(k))O(n \log\log(k)) queries. …

2019-07-14abs ↗pdf ↗

Paper tackles concept drift in Federated Learning, improving model performance.

problem Concept drift in real-world data makes existing Federated Learning methods ineffective.
method Introduces a multiscale algorithm combining extit{FedAvg} and extit{FedOMD} with non-stationary detection and adaptation.
result Achieves dynamic regret of $\Tilde{\mathcal{O}} ( \min \{ \sqrt{LT} , Δ^{\frac{1}{3}}T^{\frac{2}{3}} + \sqrt{T} \})$ for TT rounds.

Adaptive policies solve a linear program to maximize rewards while minimizing costs in sales with discounts.

problem Maximizing rewards in sales with discounts while considering costs.
method Solves a linear program based on upper-confidence estimates of conversion probabilities.
result Achieves a regret bound of the typical order (OPT/BB) T\sqrt{T}, where B is the total budget allowed.

New algorithm reduces dynamic regret in time-varying movement costs.

problem Dynamic regret in online convex optimization with time-varying movement costs.
method Introduced a novel algorithm for time-varying movement costs, achieving comparator-adaptive dynamic regret bound.
result Established first comparator-adaptive dynamic regret bound of O~((M2+MPT)(T+tλt))\widetilde{\mathcal{O}}(\sqrt{(M^2+MP_T)(T+\sum_t λ_t)}).

We consider the stochastic multi-armed bandit (MAB) problem in a setting where a player can pay to pre-observe arm rewards before playing an arm in each round. Apart from the usual trade-off between exploring new arms to find the best one and exploiting the arm believed to offer the highest reward, we encounter an addi…

2019-11-21abs ↗pdf ↗

We study online linear regression problems in a distributed setting, where the data is spread over a network. In each round, each network node proposes a linear predictor, with the objective of fitting the \emph{network-wide} data. It then updates its predictor for the next round according to the received local feedbac…

2019-02-13abs ↗pdf ↗

This paper tackles combinatorial pure exploration for dueling bandits, aiming to find the best candidate-position match.

problem Finding the best candidate-position match in a dueling bandit setting.
method The paper adapts combinatorial pure exploration for multi-armed bandits to dueling bandits, considering both Borda winner and Condorcet winner cases. It designs PAC and exact algorithms for Borda winner and a fully polynomial time approximation scheme (FPTAS) for Condorcet winner.
result The paper introduces the first algorithm with polynomial running time per round for identifying the Condorcet winner in CPE-DB.

Improved algorithm for adaptive dueling bandits with near-optimal regret bound.

problem Non-stationary dueling bandits with unknown number of preference changes.
method Elimination-based rescheduling algorithm for adaptive dynamic regret.
result Near-optimal ildeO(SextttCWT) ilde{O}(\sqrt{S^{ exttt{CW}} T}) dynamic regret bound.

We consider the problem of probably approximately correct (PAC) ranking nn items by adaptively eliciting subset-wise preference feedback. At each round, the learner chooses a subset of kk items and observes stochastic feedback indicating preference information of the winner (most preferred) item of the chosen subset …

2018-10-23abs ↗pdf ↗

A fast algorithm for KK-means clustering using subsampled SDP.

problem Efficiently solving large-scale KK-means clustering problems.
method Sketch-and-Lift (SL) approach for approximating SDP relaxed KK-means.
result SL method achieves similar exact recovery threshold as full SDP on full dataset.

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.

New algorithm resists corruption in linear contextual bandits.

problem Adversarial corruption in linear contextual bandits.
method Variance-aware algorithm with multi-level partition and adaptive confidence sets.
result Regret bound of ildeO(C2dt=1Tσt2+C2RdT) ilde{O}(C^2d\sqrt{\sum_{t = 1}^T σ_t^2} + C^2R\sqrt{dT}).

We consider the problem of adaptively placing sensors along an interval to detect stochastically-generated events. We present a new formulation of the problem as a continuum-armed bandit problem with feedback in the form of partial observations of realisations of an inhomogeneous Poisson process. We design a solution m…

2019-05-16abs ↗pdf ↗

We study the problem of estimating a set of dd linear queries with respect to some unknown distribution p\mathbf{p} over a domain J=[J]\mathcal{J}=[J] based on a sensitive data set of nn individuals under the constraint of local differential privacy. This problem subsumes a wide range of estimation tasks, e.g., distrib…

2018-10-05abs ↗pdf ↗

New algorithm reduces regret for linear bandits with unknown noise variance.

problem Finding optimal actions in linear bandits with varying noise variance.
method Adaptive algorithm with Freedman-type concentration inequality and multi-layer structure.
result Achieves ildeO(dk=1Kσk2+d) ilde{O}(d \sqrt{\sum_{k = 1}^K σ_k^2} + d) regret for linear bandits.

We study a basic private estimation problem: each of nn users draws a single i.i.d. sample from an unknown Gaussian distribution, and the goal is to estimate the mean of this Gaussian distribution while satisfying local differential privacy for each user. Informally, local differential privacy requires that each data …

2018-11-20abs ↗pdf ↗

Algorithm allocates perishable resources online to minimize envy and inefficiency.

problem Online allocation of perishable resources to minimize envy and inefficiency.
method Algorithm uses predictions of perishing order and desired envy bound to adaptively allocate resources.
result Algorithm achieves optimal envy-efficiency trade-off as derived from strong lower bounds.