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48 results for Contextual Optimization

SADCBO optimizes contextual variables by balancing relevance and cost.

problem Optimizing contextual variables with varying costs and unknown relevance.
method Adaptive selection of relevant contextual variables using sensitivity analysis and early stopping.
result Consistent improvement in optimization across various examples.

Faster algorithm reduces contextual bandit regret with fewer offline regression calls.

problem Optimizing reward in contextual bandits with unknown functions.
method Designing a simple algorithm with O(logT){O}(\log T) offline regression calls.
result Achieves statistically optimal regret with minimal offline calls.

This paper improves offline contextual bandits using distributional robustness.

problem Improving offline contextual bandits with robustness.
method Extends Distributionally Robust Optimization (DRO) for offline contextual bandits, introducing a convex reformulation of Counterfactual Risk Minimization.
result Automatic calibration of asymptotic confidence intervals for policy optimization.

CO-BED optimizes experiments using Bayesian methods and information theory.

problem Optimizing experiments in a context-dependent manner.
method Formalizes contextual optimization with Bayesian experimental design, employing information-theoretic principles and black-box variational methods.
result CO-BED provides a general solution for contextual optimization problems.

The paper tackles minimax optimality in continuum contextual bandits with Hölder continuity.

problem Minimizing regret in a continuum of contexts with Hölder continuity.
method Proves a static-to-contextual regret conversion theorem and analyzes various dependency cases.
result Achieves minimax optimal contextual regret for convex and strongly convex bandits.

Transformers model contextual relations using probabilistic measures, revealing their expressive power.

problem Lack of clear understanding of Transformer's ability to model contextual relations.
method Introduced a measure-theoretic framework connecting softmax attention and entropy-regularized optimal transport.
result Transformer architectures can approximate arbitrary contextual relations, and the choice of normalization affects how these relations are represented.

Paper proposes a network framework for prosumers to manage peak loads in Iran.

problem Balancing renewable prosumers' self-sufficiency with grid integration under uncertainty.
method Distributed contextual stochastic optimization (DCSO) framework with consensus-based sharing.
result Integration of prediction and optimization reduces peak loads and costs.

New method for estimating and optimizing MDPs without stationarity.

problem Challenges in offline contextual MDP estimation without stationarity.
method Introduces a new adaptive estimation and cost optimization approach for contextual MDPs.
result First robust, theoretically backed method for offline contextual MDP estimation.

Two algorithms for linear contextual bandits with rare updates achieve optimal regret and efficiency.

problem Linear contextual bandits with infrequent parameter updates.
method Two practical algorithms with O(loglogT)O(\log\log T) updates, BLCE-G and BLCE.
result Minimax-optimal regret with low computational complexity.

Study on adaptivity constraints in linear contextual bandits with optimal design.

problem Impact of adaptivity constraints on linear contextual bandits.
method Two models of limited adaptivity: batch learning and rare policy switches. Proposed distributional optimal design.
result Achieves minimax-optimal regret with optimal number of policy switches and batches.

New algorithms adapt to model misspecification in contextual bandits.

problem Design efficient algorithms for contextual bandits that handle model misspecification gracefully.
method Oracle-efficient algorithms for ε-misspecified contextual bandits using square loss regression.
result First algorithm achieving optimal regret bound for unknown misspecification level in linear contextual bandits.

Study wSAA for contextual decisions, improving uncertainty quantification under computational constraints.

problem Uncertainty quantification limitations in wSAA for contextual stochastic optimization.
method Establish central limit theorems and asymptotic-normality-based confidence intervals for optimal costs.
result Over-optimizing can mitigate misspecification and preserve asymptotic normality, albeit at a slower convergence rate.

Algorithm reduces regret in misspecified linear contextual bandits.

problem Misspecified linear contextual bandits with bounded misspecification.
method Data selection scheme for online regression, leveraging uncertainty.
result Regret bound of O~(d2/Δ)\tilde O(d^2/Δ) when ζO~(Δ/d)ζ \leq \tilde O(Δ/\sqrt{d}).

The paper addresses contextual optimization problems with feedback, aiming to minimize regret.

problem Contextual optimization with feedback information.
method Characterizing the optimal minimax policy in offline setting and leveraging geometric characterization in online setting to optimize cumulative regret.
result Developed an algorithm yielding logarithmic regret bound in the online setting.

New algorithm for contextual dueling bandits achieves nearly optimal regret.

problem Contextual dueling bandits with feedback on preferred options.
method Proposes FGTS.CDB, a Thompson sampling algorithm for linear contextual dueling bandits.
result Achieves nearly minimax-optimal regret of ildeO(dT) ilde{\mathcal{O}}(d\sqrt T).

Optimal algorithm for maximizing rewards in contextual bandits with resource constraints.

problem Maximizing rewards in contextual bandits with resource constraints.
method Proposed a universal and optimal algorithmic framework for CBwK by reducing it to online regression.
result Established the optimality of the proposed algorithm for various function classes.

A simple algorithm reduces federated contextual linear bandits' regret efficiently.

problem Solving federated contextual linear bandits with asynchronous agents.
method Proposed a simple algorithm exttt{FedLinUCB} based on optimism principle.
result Proved exttt{FedLinUCB} has bounded regret ildeO(dm=1MTm) ilde{O}(d\sqrt{\sum_{m=1}^M T_m}) and communication complexity ildeO(dM2) ilde{O}(dM^2).

This paper achieves optimal regret bounds for locally private linear contextual bandit.

problem Designing locally private linear contextual bandit algorithms with optimal regret bounds.
method New algorithmic and analytical ideas, including mean absolute deviation analysis and layered principal component regression.
result Achieves an ildeO(T) ilde O(\sqrt{T}) regret upper bound for locally private linear contextual bandit.

New loss function handles uncertain constraints in CSLO problems.

problem Handling uncertain inequality constraints in CSLO with machine learning predictions.
method Introduces SPO-RC loss and SPO-RC+ surrogate, trains on truncated datasets, corrects bias.
result SPO-RC+ effectively manages constraint uncertainty and improves performance.

GPE algorithm optimizes nonparametric contextual bandits with efficient regret bounds.

problem Optimizing nonparametric contextual bandits with efficient regret bounds.
method Inspired by Policy Elimination, GPE uses oracle-efficient techniques for nonparametric classes with infinite VC-dimension.
result GPE is regret-optimal for policy classes with integrable entropy, and for larger entropy, it provides an ε\varepsilon-greedy algorithm with matching regret bounds.

A framework for auto-tuning hyper-parameters in contextual bandit algorithms.

problem Auto-tuning hyper-parameters in real-time for contextual bandit algorithms.
method Proposes a Syndicated Bandits framework to learn multiple hyper-parameters dynamically.
result Achieves optimal regret bounds under certain scenarios and handles multiple contextual bandit algorithms.

Asymptotically optimal algorithm for contextual linear bandits.

problem Contextual linear bandits with suboptimal algorithms.
method Decoupling context distribution and exploration policy, incremental primal-dual approach, confidence intervals.
result Asymptotic optimality and scalability of the algorithm.

The paper proposes a method to learn and leverage contextual preference distributions for better decision-making.

problem Heterogeneous and context-dependent human preferences in decision-making problems.
method A sequential learning-and-optimization pipeline using a bounded-variance score function gradient estimator to train a predictive model mapping contextual features to preference distributions.
result The approach reduces average post-decision surprise by up to 25 times compared to risk-averse baselines in a ridesharing environment.

Contextual linear optimization shows naive plug-in methods can outperform direct optimization.

problem Optimizing decisions with side observations to reduce uncertainty.
method Using off-the-shelf machine learning methods to learn a predictive model and plug it in for optimization.
result The naive plug-in approach achieves faster regret convergence rates than direct optimization methods.

Contextual bandit algorithms are essential for solving many real-world interactive machine learning problems. Despite multiple recent successes on statistically and computationally efficient methods, the practical behavior of these algorithms is still poorly understood. We leverage the availability of large numbers of …

2018-02-12abs ↗pdf ↗

New algorithms minimize simple and cumulative regret in contextual bandits.

problem Minimizing simple and cumulative regret in contextual bandit settings.
method Proposed new algorithms using conformal arm sets (CASs).
result Near-optimal minimax guarantees for simple regret and state-of-the-art guarantees for cumulative regret.

New algorithms reduce sample complexity for multiclass contextual bandits.

problem Designing efficient algorithms for multiclass contextual bandits with sparse rewards.
method Two complementary approaches: decision-estimation coefficient analysis and low-variance exploration.
result Achieved optimal sample complexity bounds for multiclass contextual bandits.

Contextual policy search allows adapting robotic movement primitives to different situations. For instance, a locomotion primitive might be adapted to different terrain inclinations or desired walking speeds. Such an adaptation is often achievable by modifying a small number of hyperparameters. However, learning, when …

2015-11-13abs ↗pdf ↗

Unified framework for risk-aware policy learning in contextual bandits.

problem Optimizing decision rules in high-stakes domains with adverse outcomes.
method Distributional framework for Lipschitz-continuous risk functionals, with novel empirical concentration inequalities.
result Data-dependent suboptimality bounds with an ildeO(1/n) ilde{\mathcal{O}}(1/\sqrt{n}) rate, matching risk-neutral offline policy optimization.

Scarce data is a major challenge to scaling robot learning to truly complex tasks, as we need to generalize locally learned policies over different task contexts. Contextual policy search offers data-efficient learning and generalization by explicitly conditioning the policy on a parametric context space. In this paper…

2019-04-26abs ↗pdf ↗

New method for sequential probability assignment reduces regret using contextual Shtarkov sums.

problem Minimizing regret in sequential probability assignment with arbitrary hypothesis classes.
method Introducing contextual Shtarkov sum and contextual Normalized Maximum Likelihood (cNML) algorithm.
result The contextual Shtarkov sum characterizes minimax regret and provides a minimax optimal strategy.

A new framework tunes hyperparameters in real-time for contextual bandits.

problem Optimizing hyperparameters for contextual bandits in real-time.
method CDT (Continuous Dynamic Tuning) framework using Zooming TS algorithm.
result Achieves sublinear regret and performs better than existing methods.

Algorithm learns optimal arm selection in unsupervised sequential selection with contextual information.

problem Learning optimal arm selection in unsupervised sequential selection with contextual information.
method Proposes an algorithm for the contextual USS problem under the CWD property, demonstrating sub-linear regret.
result Demonstrates sub-linear regret for the proposed algorithm.