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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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20406080 · Jun 202019922001200920172026
48 results for Piecewise stationary MABs

New algorithms detect changes in non-stationary MABs for better performance.

problem Non-stationary MAB environments where arm reward distributions change over time.
method Modular Detection Augmented Bandit (DAB) procedures with improved performance lower bounds.
result Modular DAB procedures achieve order-optimal regret bounds for various change detectors and bandit algorithms.

We extend Bayesian multi-armed bandit (MAB) algorithms beyond their original setting by making use of sequential Monte Carlo (SMC) methods. A MAB is a sequential decision making problem where the goal is to learn a policy that maximizes long term payoff, where only the reward of the executed action is observed. In the …

2018-08-08abs ↗pdf ↗

The Multi-Armed Bandits (MAB) framework highlights the tension between acquiring new knowledge (Exploration) and leveraging available knowledge (Exploitation). In the classical MAB problem, a decision maker must choose an arm at each time step, upon which she receives a reward. The decision maker's objective is to maxi…

2017-02-23abs ↗pdf ↗

Algorithm reduces decision-making errors in multi-agent bandit problems.

problem Minimizing decision errors in multi-agent multi-armed bandit problems.
method RBO-Coop-UCB algorithm with Bayesian change point detection.
result Expected group regret is upper bounded by O(KNMlogT+KMTlogT)\mathcal{O}(KNM\log T + K\sqrt{MT\log T}).

The problem of time-series clustering is considered in the case where each data-point is a sample generated by a piecewise stationary ergodic process. Stationary processes are perhaps the most general class of processes considered in non-parametric statistics and allow for arbitrary long-range dependence between variab…

2019-06-26abs ↗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.

RAVEN-UCB addresses non-stationary MAB problems with tighter regret bounds.

problem Non-stationary environments in multi-armed bandits.
method Combines variance-aware adaptation with three innovations: confidence bounds, adaptive control, and recursive updates.
result Achieves tighter regret bounds than UCB1 and UCB-V.

In this work, we consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of infinite-horizon discounted cost Markov Decision Process (MDP). While MCTS is believed to provide an approximate value function for a given state with en…

2019-02-14abs ↗pdf ↗

Algorithm identifies best arm in piecewise stationary linear bandits with minimal samples.

problem Identifying the best arm in a piecewise stationary linear bandit model with unknown contexts and changepoints.
method Design of PSε\varepsilonBAI+^+ algorithm, consisting of PSε\varepsilonBAI and Nε\varepsilonBAI subroutines.
result PSε\varepsilonBAI+^+ achieves optimal sample complexity up to a logarithmic factor.

Cascading bandit (CB) is a popular model for web search and online advertising, where an agent aims to learn the KK most attractive items out of a ground set of size LL during the interaction with a user. However, the stationary CB model may be too simple to apply to real-world problems, where user preferences may ch…

2019-09-12abs ↗pdf ↗

Paper introduces novel Bandit algorithms for non-stationary environments in finance.

problem Non-stationary reward distributions in financial markets.
method Introduces Adaptive Discounted Thompson Sampling (ADTS) and Combinatorial Adaptive Discounted Thompson Sampling (CADTS) for non-stationary environments in portfolio optimization.
result Bandit Networks improve portfolio optimization performance by 20% compared to classical models.

The paper tackles non-stationary MAB with periodic rewards.

problem Non-stationary mean rewards over time in a business context.
method Combines Fourier analysis with confidence-bound learning to estimate periods and minimize regret.
result Proposes a near-optimal policy with a regret bound of O(Tk=1KTk)O(\sqrt{T\sum_{k=1}^K T_k}).

For a bounded domain equipped with a piecewise Lipschitz continuous Riemannian metric g, we consider harmonic map from (Ω,g)(Ω, g) to a compact Riemannian manifold (N,h)Rk(N,h)\subset\mathbb R^k without boundary. We generalize the notion of stationary harmonic map and prove the partial regularity. We also discuss the global Li…

2011-08-22abs ↗pdf ↗

Study shows nonstationary bandits require T-dependent regret even with minimal nonstationarity.

problem Understanding satisficing regret in nonstationary multi-armed bandits.
method Developed a novel Fano-based framework for nonstationary bandits with a post-interaction reference construction.
result Optimal regret scales with T even with minimal nonstationarity, contrasting with stationary case.

Study adapts combinatorial semi-bandit for piecewise stationary, causally related rewards.

problem Nonstationary environment with changing base arms' distributions and causal relationships.
method Upper Confidence Bound (UCB) algorithm with change-point detector and group restart strategy.
result Regret upper bound reflecting effects of structural and distribution changes.

New algorithms control loss and constraints in uncertain, changing environments.

problem Adapting to adversarial constraints in uncertain, changing environments.
method Developed algorithms for constrained MAB problems with optimal rates of regret and positive constraint violation.
result Achieved optimal rates of regret and positive constraint violation under varying degrees of adversariality.

Master algorithm fails to detect non-stationarity in practical settings.

problem Non-Stationary Reinforcement Learning without prior knowledge.
method Master algorithm tested under various conditions, including piecewise stationary multi-armed bandits.
result Master's non-stationarity detection is ineffective for practical horizons, leading to performance similar to random restarting.

The paper tackles rested bandits with non-decreasing and concave rewards, deriving lower bounds and an efficient algorithm.

problem Studying the sample complexity and optimal strategies for rested bandits with specific reward properties.
method Deriving regret lower bounds and designing an efficient algorithm R-ed-UCB with theoretical and empirical analysis.
result An efficient algorithm R-ed-UCB with a regret bound of O~(T23)\widetilde{\mathcal{O}}(T^{\frac{2}{3}}) under certain conditions.

New algorithms minimize dynamic regret in non-stationary online learning.

problem Universal dynamic regret minimization under exp-concave and smooth losses.
method Strongly Adaptive algorithms with a path variational based on second order differences of the comparator sequence.
result Achieve a dynamic regret of ildeO(d2n1/5Cn2/5d2) ilde O(d^2 n^{1/5} C_n^{2/5} \vee d^2), optimal modulo dependencies.

The Bivariate Dynamic Contagion Processes (BDCP) are a broad class of bivariate point processes characterized by the intensities as a general class of piecewise deterministic Markov processes. The BDCP describes a rich dynamic structure where the system is under the influence of both external and internal factors model…

2014-05-22abs ↗pdf ↗

We study the non-stationary stochastic multiarmed bandit (MAB) problem and propose two generic algorithms, namely, the limited memory deterministic sequencing of exploration and exploitation (LM-DSEE) and the Sliding-Window Upper Confidence Bound# (SW-UCB#). We rigorously analyze these algorithms in abruptly-changing a…

2018-02-23abs ↗pdf ↗

Paper closes the gap in MP-MAB problems with novel adaptive communication and exploration.

problem Closing the gap between decentralized MP-MAB and natural centralized lower bound.
method BEACON: Batched Exploration with Adaptive COmmunicatioN, incorporating ADC and batched exploration.
result Proves logarithmic regret for a generalized MP-MAB problem.

We formulate the problem of sampling and recovering clustered graph signal as a multi-armed bandit (MAB) problem. This formulation lends naturally to learning sampling strategies using the well-known gradient MAB algorithm. In particular, the sampling strategy is represented as a probability distribution over the indiv…

2018-05-15abs ↗pdf ↗

A new bandit problem where experiments can be interrupted if results are not promising.

problem Interruptible multi-armed bandit problem with a threshold for cumulative reward.
method Formalized survival regret, identified key components (regret and probability of ruin), derived lower bounds and optimal policies.
result No policy can achieve sublinear survival regret, but optimal policies minimize survival regret in a Pareto sense.

In this work, we study recommendation systems modelled as contextual multi-armed bandit (MAB) problems. We propose a graph-based recommendation system that learns and exploits the geometry of the user space to create meaningful clusters in the user domain. This reduces the dimensionality of the recommendation problem w…

2018-07-31abs ↗pdf ↗

Memory-based models can learn to approximate Bayes-optimal predictors for non-stationary data.

problem Learning from non-stationary data with unobserved switching points.
method Memory-based neural models, including Transformers, LSTMs, and RNNs, trained to minimize log loss.
result Memory-based models can accurately approximate known Bayes-optimal algorithms and perform Bayesian inference over latent switching points.

Improved algorithm detects changes in RL environments with non-stationary MDPs.

problem Learning in non-stationary reinforcement learning environments.
method R-BOCPD-UCRL2 algorithm for MDPs with multinomial state transitions.
result Near-optimal theoretical guarantees in terms of false-alarm rate and detection delay.

Trust-aware MAB improves learning performance by accounting for human deviation.

problem Learning performance suffers when humans deviate from recommended policies due to lack of trust.
method Integrates a dynamic trust model into MAB framework, establishing minimax regret and proposing a two-stage trust-aware procedure.
result Proves near-optimal statistical guarantees for trust-aware MAB algorithms.

New algorithm reduces dynamic regret for noisy gradient feedback with piecewise polynomial comparators.

problem Online estimation of piecewise polynomial trends with noisy feedback.
method Introduces variational constraint for piecewise polynomial comparators, designs adaptive algorithm.
result Achieves nearly optimal dynamic regret of $ ilde{O}(n^{ rac{1}{2k+3}}C_n^{ rac{2}{2k+3}})$.