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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.

168,695 papers · 148 categories

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3773110146 · Jun 202019922001200920172026
48 results for queue length regret

The paper develops algorithms to minimize queue length regret in a communication system.

problem Minimizing the difference between actual and optimal queue lengths over time slots.
method Introduces queue length regret and applies algorithms from stochastic multi-armed bandit problem to analyze system performance.
result Order optimal O(1)O(1) queue length regret can be achieved with queue-length based policies.

Algorithm stabilizes queues in asymmetric systems with unknown service rates.

problem Stabilizing queues in multi-class multi-server systems with unknown service rates.
method Proposes UCB and Thompson Sampling algorithms to stabilize queues while learning service rates.
result Achieves system stability with an average queue length bound of \(O(\min\{N,K\}/ε)\) for large time horizon \(T\).

A learning-based algorithm optimizes admission control in a queuing system.

problem Optimizing admission decisions in a queuing system with unknown parameters.
method Proposes a learning-based dispatching algorithm to minimize regret compared to optimal policies.
result Achieves optimal regret bounds for different scenarios of unknown parameters.

Study improves queue length estimation from connected vehicles by filtering parameters.

problem Large errors in estimated queue lengths at low market penetration rates.
method Used Kalman and Particle filters as multilevel real-time estimators.
result Filters reduce estimation errors and improve accuracy within 15 minutes.

The paper improves regret bounds for admission control in queueing systems.

problem Improving regret bounds for admission control in queueing systems.
method Proposes an algorithm inspired by UCRL2 and uses problem structure to bound regret.
result Proves an upper bound on the expected total regret of O(SlogT+mTlogT)O(S\log T + \sqrt{mT \log T}).

The paper tackles ride-hailing fleet repositioning with a calibrated demand approach.

problem Repositioning idle supply before future demand is observed in ride-hailing.
method A predict-then-optimize approach using calibrated demand regimes, a similarity gate, and spatial queue-regret decomposition.
result The spatial gate reduces mean wait time to 82.3s compared to 85.3s for a hand-tuned similarity gate and 85.8s for a distributional-only baseline.

This paper attempts to find out numerically the distribution of the queue-length ratio in the context of a model of preferential attachment. Here we consider two restaurants only and a large number of customers (agents) who come to these restaurants. Each day the same number of agents sequentially arrives and decides w…

2008-08-23abs ↗pdf ↗

In this paper, a novel joint transmit power and resource allocation approach for enabling ultra-reliable low-latency communication (URLLC) in vehicular networks is proposed. The objective is to minimize the network-wide power consumption of vehicular users (VUEs) while ensuring high reliability in terms of probabilisti…

2018-05-11abs ↗pdf ↗

New RL algorithm reduces regret in birth-death queueing problems.

problem Efficiency of reinforcement learning in MDPs with large state spaces.
method Modified Ucrl2 algorithm exploiting birth-death structure.
result Regret bound of ildeO(E2AT) ilde{\mathcal{O}}(\sqrt{E_2AT}) independent of state space size.

New clustering method uses Wasserstein distance to analyze simulation outputs.

problem Analyzing stochastic simulation outputs to uncover relationships and patterns.
method Agglomerative clustering using regularized Wasserstein distance.
result Identifies staffing plans yielding similar performance outcomes.

Decentralized learning ensures stability in online queuing systems with packet rates above 1.

problem Ensuring stability in online queuing systems with decentralized learning.
method Proposed cooperative queues and a learning algorithm for packet rates above 1.
result Decentralized learning strategies guarantee stability in queuing systems with packet rates above 1.

Optimal hidden-target learning for online inventory optimization on general convex sets.

problem Online inventory optimization (OIO) on arbitrary bounded convex capacity sets.
method Maintaining a hidden target and projecting it onto the feasible order-up-to set.
result The method improves the best known regret guarantee for OIO on general convex sets from inverse to inverse-square-root dependence on the common-demand probability.

Study on queues with Hawkes arrivals, proving steady-state behavior and developing an efficient algorithm.

problem Analyzing the steady-state behavior of queues with Hawkes arrivals.
method Novel coupling techniques and exponential convergence results for workload and busy period processes.
result Exponential convergence of queueing processes to their stationary distribution.

The paper analyzes transaction fees on blockchains using a priority queue model.

problem Understanding and optimizing transaction fees on blockchain networks.
method An M/G^K/1 priority queue model is used to analyze transaction fees and user behavior.
result New insights into the dynamics of transaction fees and their impact on user behavior are provided.

Designs for allocating resources to prioritize needy applicants while estimating treatment effects.

problem Resource allocation under uncertainty with prioritized queues.
method Priority-queue randomization for treatment assignment and estimation of treatment effects.
result Identification of causal effects under different arrival and treatment assignment scenarios.

New algorithm reduces regret bounds for Bayesian optimization with unknown hyperparameters.

problem Optimizing black-box functions with unknown hyperparameters, especially length scale.
method Length Scale Balancing (LB) - aggregating multiple surrogate models with varying length scales.
result LB achieves a regret bound only logaritically away from the oracle algorithm.

MERLIN tackles multi-objective task scheduling with hierarchical DRL, outperforming existing methods.

problem Optimizing multiple conflicting constraints in multi-objective task scheduling with varying queue sizes.
method Hierarchical deep reinforcement learning approach to manage large queues efficiently.
result MERLIN outperforms existing methods by a large margin (>22%) on multiple queue sizes.

Enhances queue-reactive model for realistic limit order book simulation.

problem Realistic simulation of limit order books for market research and strategy development.
method Extends Queue-Reactive model with neural network for complex dependencies and varying market conditions.
result Captures key market properties like square-root law of market impact and order size patterns.

We study adaptive regret bounds in terms of the variation of the losses (the so-called path-length bounds) for both multi-armed bandit and more generally linear bandit. We first show that the seemingly suboptimal path-length bound of (Wei and Luo, 2018) is in fact not improvable for adaptive adversary. Despite this neg…

2019-01-29abs ↗pdf ↗

Algorithm minimizes regret and converges to equilibria in Markov games.

problem Regret minimization and convergence to equilibria in general-sum Markov games under adversarial opponents.
method Decentralized algorithm that uses policy optimization and controls path length to achieve sublinear regret.
result Sublinear regret guarantees for convergence to correlated equilibrium in Markov games.

The paper models blockchain queues and trading dynamics, finding conditions for transaction priority and price impact.

problem Understanding and predicting price impacts in blockchain trading environments.
method Developed a probabilistic model for blockchain queues with adversarial scheduling, derived expressions for transaction priority and price impact.
result Conditions for transaction priority and statistical models for price impact in blockchain trading environments.

New online conformal prediction methods minimize strongly adaptive regret and achieve near-optimal coverage.

problem Uncertainty quantification in online settings with changing data distributions.
method Developed new online conformal prediction methods that minimize strongly adaptive regret.
result Achieve near-optimal strongly adaptive regret and approximately valid coverage.

Order positions are key variables in algorithmic trading. This paper studies the limiting behavior of order positions and related queues in a limit order book. In addition to the fluid and diffusion limits for the processes, fluctuations of order positions and related queues around their fluid limits are analyzed. As a…

2015-05-18abs ↗pdf ↗

Paper analyzes regret bounds for unconstrained online optimization.

problem Minimizing regret in dynamic online learning for strongly convex and smooth functions.
method Preconditioned OGD, Online Optimistic Newton (OON), multiple gradient queries.
result Achieves O(C2,T)O(C^*_{2,T}) regret bound with one gradient query per round.

Motivated by empirical data, we develop a statistical description of the queue dynamics for large tick assets based on a two-dimensional Fokker-Planck (diffusion) equation, that explicitly includes state dependence, i.e. the fact that the drift and diffusion depends on the volume present on both sides of the spread. "J…

2013-04-25abs ↗pdf ↗

In this work we introduce two variants of multivariate Hawkes models with an explicit dependency on various queue sizes aimed at modeling the stochastic time evolution of a limit order book. The models we propose thus integrate the influence of both the current book state and the past order flow. The first variant cons…

2019-01-25abs ↗pdf ↗

The paper optimizes LLM inference systems through queueing theory.

problem Efficient LLM inference for AI agents under various routing topologies.
method Developed a fluid-limit framework for multi-class batched processing networks under K-FCFS scheduling.
result Proved that work-conserving scheduling algorithms maximize throughput for LLM inference.

Unified model for market dynamics, linking price and order flow.

problem Modeling market dynamics and order flow in a unified framework.
method Markovian market model driven by a hidden Brownian efficient price, signal-driven and queue-reactive models.
result Stability of mid-price around efficient price at macroscopic scale, behavior as diffusion.

New Q-learning algorithms reduce regret in inventory control problems.

problem Efficiently learning optimal policies in inventory control problems with limited feedback.
method Proposed Elimination-Based Half-Q-Learning (HQL) and Full-Q-Learning (FQL) algorithms with theoretical regret bounds.
result HQL incurs ildeO(H3T) ilde{\mathcal{O}}(H^3\sqrt{ T}) regret, FQL incurs ildeO(H2T) ilde{\mathcal{O}}(H^2\sqrt{ T}) regret, independent of state and action space sizes.

Online class imbalance learning constitutes a new problem and an emerging research topic that focusses on the challenges of online learning under class imbalance and concept drift. Class imbalance deals with data streams that have very skewed distributions while concept drift deals with changes in the class imbalance s…

2018-09-27abs ↗pdf ↗

We study the Thompson sampling algorithm in an adversarial setting, specifically, for adversarial bit prediction. We characterize the bit sequences with the smallest and largest expected regret. Among sequences of length TT with k<T2k < \frac{T}{2} zeros, the sequences of largest regret consist of alternating zeros and …

2019-06-21abs ↗pdf ↗

We develop a novel and generic algorithm for the adversarial multi-armed bandit problem (or more generally the combinatorial semi-bandit problem). When instantiated differently, our algorithm achieves various new data-dependent regret bounds improving previous work. Examples include: 1) a regret bound depending on the …

2018-01-10abs ↗pdf ↗

Dynamic regret minimization is shown equivalent to static regret minimization for linear losses.

problem Dynamic regret minimization in online convex optimization.
method Equivalence between dynamic and static regret minimization for linear losses.
result Dynamic regret minimization is equivalent to static regret minimization for linear losses.

New algorithm reduces regret in stochastic shortest path problems.

problem Planning and control in environments with unknown dynamics and variable episode lengths.
method Developed an algorithm with a new regret bound of O(BSAK)O(B_\star |S| \sqrt{|A| K}).
result Guaranteed a significant reduction in regret compared to previous methods.

New algorithms reduce regret in online MDPs by adapting to data and variance.

problem Adapting to both adversarial and stochastic environments in online MDPs.
method Develops algorithms based on global optimization and policy optimization, using optimistic follow-the-regularized-leader with log-barrier regularization.
result Achieves refined data-dependent and variance-dependent regret bounds.

The paper analyzes the sliding regret of stochastic bandit algorithms.

problem Measuring the one-shot behavior of no-regret algorithms in stochastic bandits.
method Introducing sliding regret to measure the worst pseudo-regret over a time-window.
result Randomized methods have optimal sliding regret, while index policies have the worst possible sliding regret.