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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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232465697929 · Jun 202019922001200920172026
48 results for Online Function Approximation

Paper tackles stochastic kk-submodular bandits with full feedback, achieving sublinear regret.

problem Online optimization of kk-submodular functions with full-bandit feedback.
method Proposes online algorithms for various kk-submodular stochastic combinatorial multi-armed bandit problems.
result Achieves sublinear αα-regret bounds for multiple kk-submodular stochastic combinatorial multi-armed bandit problems.

In this paper, we study fundamental problems of maximizing DR-submodular continuous functions that have real-world applications in the domain of machine learning, economics, operations research and communication systems. It captures a subclass of non-convex optimization that provides both theoretical and practical guar…

2019-09-25abs ↗pdf ↗

Paper introduces efficient online sub-sampling for RL with function approximation, reducing policy updates.

problem Efficiently managing computation complexity in RL with general function approximation.
method Online sub-sampling framework that measures information gain and guides exploration.
result Policy updates reduced to polylog(K)\propto\operatorname{poly}\log(K) times for near-optimal regret.

New method achieves small-loss regret bounds in random-order model.

problem Online learning with adversarial loss functions in random order.
method Extending batch-to-online transformation, using average sensitivity and stability.
result Small-loss regret bounds of order ildeO(φ(OPTT)) ilde O(\varphi^{\star}(\mathrm{OPT}_T)).

A new method for online VI in SSMs using asymptotic contrast.

problem Lack of functionality for streaming data in standard VI methods for SSMs.
method Propose maximising an IWAE-type variational lower bound on the asymptotic contrast function using stochastic approximation.
result OSIWAE allows for online learning of model parameters and latent states.

Polynomial-time RL algorithm for constant actions under linear Bellman completeness.

problem Efficient online reinforcement learning with few actions.
method Polynomial-time algorithm based on linear function approximation.
result First computationally efficient algorithm for RL with constant actions under linear Bellman completeness.

New algorithm achieves logarithmic regret for adversarial online control.

problem Online linear-quadratic control in systems with adversarial disturbances.
method Characterization of optimal offline control law, reduced to online learning with approximate advantage functions.
result First algorithm with logarithmic regret for arbitrary adversarial disturbance sequences.

Transforms offline algorithms to online with low regret in random order model.

problem Developing online algorithms with low approximate regret from offline approximation algorithms.
method General reduction theorem and coreset construction method.
result Achieves polylogarithmic ε-approximate regret for various online problems.

Algorithm finds Nash equilibria in complex games with function approximation.

problem Learning Nash equilibria in two-player zero-sum Markov Games with nonlinear function approximation.
method Online learning algorithm using upper and lower confidence bounds derived from optimism in the face of uncertainty.
result Achieves O(T)O(\sqrt{T}) regret with polynomial complexity, under mild assumptions.

In this paper, we consider an online optimization process, where the objective functions are not convex (nor concave) but instead belong to a broad class of continuous submodular functions. We first propose a variant of the Frank-Wolfe algorithm that has access to the full gradient of the objective functions. We show t…

2018-02-16abs ↗pdf ↗

Maximize to Explore integrates RL components for efficient policy discovery.

problem Balancing exploration and exploitation in online RL with general function approximators.
method Integrates estimation, planning, and exploration into a single objective function.
result Achieves sublinear regret for MDPs and MGs with general function approximations.

New insights on eluder dimension for function approximation in machine learning.

problem Complexity measure for online bandits and reinforcement learning with function approximation.
method Study the relationship between eluder dimension and generalized rank for different activation functions.
result Eluder dimension can be exponentially smaller or larger than generalized rank depending on the activation function.

New coverage conditions improve sample efficiency in online reinforcement learning.

problem Improving sample efficiency in online reinforcement learning with function approximation.
method Identifying and studying new coverage conditions for online reinforcement learning.
result Improved regret bounds achieved with new coverage conditions.

Paper optimizes GAIL for online and offline learning with linear approximations.

problem Imitation learning from expert demonstrations with linear function approximations.
method Proposes optimistic and pessimistic algorithms for online and offline settings.
result Proves optimality and efficiency of proposed algorithms.

Algorithm for online learning in MDPs with linear function approximation and bandit feedback.

problem Online learning in MDPs with changing reward functions and limited feedback.
method Developed MDP-LinExp3 algorithm with theoretical guarantees.
result Proved regret bounds for MDP-LinExp3 algorithm.

We present a reduction from reinforcement learning (RL) to no-regret online learning based on the saddle-point formulation of RL, by which "any" online algorithm with sublinear regret can generate policies with provable performance guarantees. This new perspective decouples the RL problem into two parts: regret minimiz…

2019-11-14abs ↗pdf ↗

Paper learns Koopman operator from sparse data, escaping function space constraints.

problem Learning Koopman operator from non-closed function spaces.
method Operator stochastic approximation algorithm using conditional mean embeddings (CME).
result Online sparse learning algorithm with trajectory-based sampling guarantees.

New framework for resilient bi-criteria optimization under noisy feedback.

problem Bi-criteria combinatorial optimization with noisy function evaluations.
method Introducing (α,β,δ,extttN)(α,β,δ, exttt{N})-resilience and developing a black-box framework.
result Achieves sublinear regret and constraint violation for bi-criteria bandit problems.

Many machine learning frameworks, such as resource-allocating networks, kernel-based methods, Gaussian processes, and radial-basis-function networks, require a sparsification scheme in order to address the online learning paradigm. For this purpose, several online sparsification criteria have been proposed to restrict …

2014-09-21abs ↗pdf ↗

The paper provides tight bounds for improving multi-armed bandits problem.

problem Improving multi-armed bandits problem with concave reward functions.
method Upper and lower bounds for randomized online algorithms, providing an O(klogk)O(\sqrt{k} \log k) approximation.
result Achieved nearly-tight approximation guarantees for the improving multi-armed bandits problem.

Paper analyzes online reinforcement learning with outcome-based feedback, providing efficient algorithms and fundamental limits.

problem Assigning credit to actions in reinforcement learning with only endpoint rewards.
method Develops a provably sample-efficient algorithm for online reinforcement learning with general function approximation.
result Achieves O(CmcovH3/ε2)O(C_{ m cov} H^3/ε^2) sample complexity, characterizing statistical separation between outcome-based and per-step rewards.

Improved reinforcement learning algorithm with linear approximation for unknown dynamics.

problem Reinforcement learning with adversarial changing cost functions and bandit feedback.
method Combines mirror-descent and least squares policy evaluation in an auxiliary MDP.
result Obtains an O~(K6/7)\widetilde O(K^{6/7}) regret bound, significantly improving over previous methods.

Hierarchical clustering is a widely used approach for clustering datasets at multiple levels of granularity. Despite its popularity, existing algorithms such as hierarchical agglomerative clustering (HAC) are limited to the offline setting, and thus require the entire dataset to be available. This prohibits their use o…

2019-09-20abs ↗pdf ↗

Study on maximizing submodular functions with limited updates, achieving tight bounds and poly-time algorithms.

problem Online submodular maximization with constant recourse.
method Information-theoretic bounds and poly-time randomized algorithms.
result Achieved tight bounds of 2/3 and 3/4 for general and coverage functions, respectively, with a 0.51 approximation.

Transforms offline greedy algorithms to online algorithms for combinatorial problems.

problem Online decision-making in time-varying combinatorial environments.
method General framework using Blackwell approachability and Bandit Blackwell approachability.
result Achieves O(T)O(\sqrt{T}) regret in full information setting and O(T2/3)O(T^{2/3}) regret in bandit setting.

We present a new online boosting algorithm for adapting the weights of a boosted classifier, which yields a closer approximation to Freund and Schapire's AdaBoost algorithm than previous online boosting algorithms. We also contribute a new way of deriving the online algorithm that ties together previous online boosting…

2008-10-24abs ↗pdf ↗

Stochastic approximation (SA) is a key method used in statistical learning. Recently, its non-asymptotic convergence analysis has been considered in many papers. However, most of the prior analyses are made under restrictive assumptions such as unbiased gradient estimates and convex objective function, which significan…

2019-02-02abs ↗pdf ↗

AAPI improves regret bound for undiscounted continuing learning in uniformly ergodic MDPs.

problem Improving regret bounds for undiscounted continuing learning in uniformly ergodic MDPs.
method Adaptive approximate policy iteration (AAPI) with online learning techniques and data-dependent adaptive learning rate.
result AAPI achieves a ildeO(T2/3) ilde{O}(T^{2/3}) regret bound, improving over the best existing bound of ildeO(T3/4) ilde{O}(T^{3/4}).

New method uses online learning to improve AIPW estimators for adaptively collected data.

problem Estimating treatment effects with adaptively collected data.
method Online learning to minimize sequentially weighted estimation error.
result Local minimax lower bound shows optimality of AIPW estimator.

New online learning algorithm combines PA and TER for binary classification.

problem Binary classification with non-separable data and data imbalance.
method Online Passive-Aggressive (PA) and Total-Error-Rate (TER) learning combined into PATER algorithm.
result PATER algorithms outperform existing online learning algorithms in efficiency and effectiveness.

We uncover a fairly general principle in online learning: If regret can be (approximately) expressed as a function of certain "sufficient statistics" for the data sequence, then there exists a special Burkholder function that 1) can be used algorithmically to achieve the regret bound and 2) only depends on these suffic…

2018-03-20abs ↗pdf ↗

Paper proposes OPF policy for fair resource allocation with sublinear regret.

problem Fair resource allocation in an online setting against an unrestricted adversary.
method Online Proportional Fair (OPF) policy achieving approximate sublinear regret.
result OPF policy achieves cαc_α-approximate sublinear regret with cα1.445c_α \leq 1.445.

Uniform TD(0) bound derived for function approximation with Markov noise.

problem Uniform concentration bound for TD(0) with function approximation.
method Contractive stochastic approximation, martingale and Markov noises, Poisson equation, relaxed concentration inequalities.
result Uniform all-time concentration bound for TD(0) with linear function approximation.

New algorithm fills gaps in offline data for hybrid RL, achieving similar gains without coverage assumptions.

problem Lack of provable benefits in hybrid RL with coverage assumptions.
method Warm-starting optimistic online algorithms with offline data in experience replay buffer.
result Hybrid RL gains similar to offline-only RL without coverage assumptions, demonstrating efficient exploration.

Framework optimizes battery storage for markets by separating long-term degradation from short-term market dynamics.

problem Intractable computation due to timescale mismatch between battery degradation and market dynamics.
method Approximate dynamic programming with value function approximation and pseudo-time encoding.
result Policy outperforms benchmarks in real-time market scenarios.

Regularized online learning is widely used in machine learning applications. In online learning, performing exact minimization (i.e.,i.e., implicit update) is known to be beneficial to the numerical stability and structure of solution. In this paper we study a class of regularized online algorithms without linearizing the…

2018-09-25abs ↗pdf ↗

SnAp approximates RTRL for online training of sparse recurrent networks.

problem Training large sparse recurrent networks online is computationally expensive.
method Sparse n-step Approximation (SnAp) of the RTRL influence matrix.
result SnAp with n=2 remains tractable for highly sparse networks and outperforms backpropagation through time.