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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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127253380506 · Jun 202019922001200920172026
48 results for online linear programming

This paper improves online learning algorithms for LP problems, achieving better regret bounds.

problem Achieving optimal regret bounds in online linear programming.
method Develops a new framework for first-order online learning algorithms under certain error bound conditions.
result First-order learning algorithms achieve o(T)o(\sqrt{T}) regret in continuous support and O(logT)\mathcal{O}(\log T) regret in finite support, improving over O(T)\mathcal{O}(\sqrt{T}).

New algorithm reduces online decision-making regret with efficient LP re-solving and parallel first-order method.

problem Worse regret guarantees and high computational cost of LP-based OLP algorithms.
method Combines LP-based and first-order OLP methods, re-solving LP subproblems periodically and using parallel first-order method.
result Achieves O(log(T/f)+f)\mathscr{O}(\log (T/f) + \sqrt{f}) regret, balancing computational efficiency and superior regret guarantee.

Optimized algorithms for online learning with linear constraints improve performance and provide worst-case analysis.

problem Improving online learning algorithms for constrained optimization problems.
method Developed an optimized variant of an online Frank-Wolfe algorithm and used semidefinite programming for numerical analysis.
result No pure online Frank-Wolfe algorithm can have a better regret guarantee than O(T^3/4) without additional assumptions.

The paper tackles online resource allocation with uncertain coefficients and chance constraints.

problem Online stochastic resource allocation problem with chance constraints.
method Linearization and primal-dual algorithms with heuristic corrections.
result Optimality gap and constraint violation are on the order of √n.

Unified approach for optimizing predictions in linear programming and inverse problems.

problem Optimizing predictions in linear programming and inverse problems.
method Maximum optimality margin approach.
result Unified approach that balances computational efficiency and theoretical properties.

Develops an online method for solving constrained optimization problems with debiasing techniques.

problem Online inference of solutions to constrained optimization problems with equality and inequality constraints.
method Stochastic Sequential Quadratic Programming (SSQP) with momentum debiasing.
result Achieves global almost-sure convergence and local asymptotic normality with optimal primal-dual limiting covariance.

New method for identifying best arm in batched multi-armed bandit problems.

problem Identifying the best arm in multi-armed bandit problems where arms are sampled in batches.
method General linear programming framework for best arm identification in batched multi-armed bandit problems.
result Demonstrated good performance in numerical studies compared to UCB-type or Thompson sampling methods.

In this paper, we consider the problem of preserving privacy in the online learning setting. We study the problem in the online convex programming (OCP) framework---a popular online learning setting with several interesting theoretical and practical implications---while using differential privacy as the formal privacy …

2011-09-01abs ↗pdf ↗

Unified LP framework for offline reward learning from human demonstrations and feedback.

problem Reward learning from human demonstrations and feedback with robustness and sample efficiency.
method A novel linear programming framework for offline reward learning.
result Unified LP framework achieves better performance compared to MLE.

Determining the programming language of a source code file has been considered in the research community; it has been shown that Machine Learning (ML) and Natural Language Processing (NLP) algorithms can be effective in identifying the programming language of source code files. However, determining the programming lang…

2018-09-21abs ↗pdf ↗

New OLO algorithms use Stein's method for better performance tradeoffs.

problem Achieving optimal tradeoffs in adversarial online linear optimization.
method Operationalizing Stein's method for computationally efficient OLO algorithms.
result Additively sharp upper bounds on regret and total loss.

We study the task of online boosting--combining online weak learners into an online strong learner. While batch boosting has a sound theoretical foundation, online boosting deserves more study from the theoretical perspective. In this paper, we carefully compare the differences between online and batch boosting, and pr…

2012-06-27abs ↗pdf ↗

New method for online inference of constrained optimization problems.

problem Online inference of constrained stochastic optimization problems.
method Random scaling of Sketched Stochastic Sequential Quadratic Programming (SSQP).
result Asymptotically valid confidence intervals and matrix-free computation.

New algorithms robust to adversarial data achieve optimal performance.

problem Adversarial robustness in high-dimensional online learning problems.
method Alternating minimization scheme combining least-squares and convex reweighting.
result Achieves optimal robustness guarantees without distributional assumptions.

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.

Solving linear programs by using entropic penalization has recently attracted new interest in the optimization community, since this strategy forms the basis for the fastest-known algorithms for the optimal transport problem, with many applications in modern large-scale machine learning. Crucial to these applications h…

2018-06-05abs ↗pdf ↗

This paper presents an acceleration framework for packing linear programming problems where the amount of data available is limited, i.e., where the number of constraints m is small compared to the variable dimension n. The framework can be used as a black box to speed up linear programming solvers dramatically, by two…

2017-11-17abs ↗pdf ↗

Online advertising in E-commerce platforms provides sellers an opportunity to achieve potential audiences with different target goals. Ad serving systems (like display and search advertising systems) that assign ads to pages should satisfy objectives such as plenty of audience for branding advertisers, clicks or conver…

2019-09-29abs ↗pdf ↗

Approximate linear programming (ALP) represents one of the major algorithmic families to solve large-scale Markov decision processes (MDP). In this work, we study a primal-dual formulation of the ALP, and develop a scalable, model-free algorithm called bilinear ππ learning for reinforcement learning when a sampling or…

2018-04-27abs ↗pdf ↗

This paper proposes an online tree-based Bayesian approach for reinforcement learning. For inference, we employ a generalised context tree model. This defines a distribution on multivariate Gaussian piecewise-linear models, which can be updated in closed form. The tree structure itself is constructed using the cover tr…

2013-05-08abs ↗pdf ↗

Graph-based approach repairs programs from diagnostic feedback.

problem Learning to repair programs from limited labeled data and compiler error messages.
method Introduces program-feedback graph and graph neural network for reasoning, and self-supervised learning with unlabeled programs.
result DrRepair significantly outperforms prior work, achieving high repair rates.

Paper generalizes VB-FTRL for online learning of quantum states with logarithmic loss.

problem Online learning of quantum states with logarithmic loss.
method Generalizes VB-FTRL algorithm for LL-OLQS with polynomial-time implementation.
result Achieves a regret rate of O(d2log(d+T))O (d^2 \log (d + T)) for LL-OLQS.

Quantum algorithms improve regret bounds for bandits with knapsacks.

problem Combining stochastic integer programming and online learning.
method Quantum algorithms for BwK with improved regret and time complexities.
result Quantum algorithms achieve better regret bounds than classical methods.

New method solves constrained stochastic optimization problems efficiently.

problem Online statistical inference of constrained stochastic nonlinear optimization problems.
method Stochastic Sequential Quadratic Programming (StoSQP) with iterative sketching solver.
result The rescaled primal-dual sequence converges to a mean-zero Gaussian distribution.

Online learning of linear operators between infinite-dimensional spaces is possible but with limitations.

problem Learning linear operators between infinite-dimensional Hilbert spaces in an online setting.
method Online learning approach for linear operators with bounded pp-Schatten norm, proving impossibility for operator norm.
result Separation between online learnability and uniform convergence for bounded linear operators.

Algorithm balances online and offline data for linear bandits.

problem Online learning with an offline dataset in linear bandits.
method Proposes a linear bandit algorithm that uses offline data early and increasingly favors exploration as the horizon grows.
result Establishes regret bounds showing competitive performance with both purely online and offline solutions.

We formalize the notion of nesting probabilistic programming queries and investigate the resulting statistical implications. We demonstrate that while query nesting allows the definition of models which could not otherwise be expressed, such as those involving agents reasoning about other agents, existing systems take …

2018-03-16abs ↗pdf ↗

Faster algorithms for structured SVMs reduce computation time.

problem Efficiently solving quadratic programming problems with specific structures.
method Designing nearly-linear time algorithms for quadratic programs with low-rank factorizations and few linear constraints.
result First nearly-linear time algorithms for solving quadratic programs with specific structures.

Bayesian rating system for large competitions improves prediction and efficiency.

problem Rating systems for large, competitive events like online programming contests.
method Developed a Bayesian rating system for many participants, proving robustness and runtime.
result The system outperforms existing systems in accuracy and computation speed.

Real Time Dynamic Programming (RTDP) is an online algorithm based on Dynamic Programming (DP) that acts by 1-step greedy planning. Unlike DP, RTDP does not require access to the entire state space, i.e., it explicitly handles the exploration. This fact makes RTDP particularly appealing when the state space is large and…

2019-09-10abs ↗pdf ↗