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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.

169,051 papers · 148 categories

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246493739985 · Jun 202019922001200920182026
48 results for noisy function evaluation

The paper tackles noisy multi-armed bandit problems with improved regret guarantees.

problem Tackling noisy evaluations in multi-armed bandit problems.
method Derives different algorithmic approaches and theoretical guarantees based on the type of observation functions.
result Improved regret guarantees for noisy linear functions of true rewards.

New method uses noisy function evaluations for sampling Langevin diffusions.

problem Difficulty in obtaining gradient evaluations for Langevin diffusions.
method Stochastic zeroth-order discretizations of Langevin diffusions using Gaussian Stein's identities.
result Comprehensive sample complexity analysis for both overdamped and underdamped Langevin diffusions.

A scalable portfolio approach speeds up Bayesian optimization for noisy functions.

problem Efficiently selecting multiple designs in parallel for noisy, expensive black-box optimization.
method A portfolio approach that balances exploration and exploitation, using a scalable allocation strategy.
result Significant speed improvements over existing methods, with similar or better performance.

This paper provides lower bounds on the convergence rate of Derivative Free Optimization (DFO) with noisy function evaluations, exposing a fundamental and unavoidable gap between the performance of algorithms with access to gradients and those with access to only function evaluations. However, there are situations in w…

2012-09-11abs ↗pdf ↗

Bayesian optimisation tackles uncertain inputs in noisy function evaluations.

problem Optimizing functions with uncertain query locations and noisy outcomes.
method Proposes a UCB algorithm for BO with uncertain inputs, using Gaussian process models.
result Theoretical and experimental results show the proposed algorithm outperforms conventional methods.

Parallel Gaussian process surrogate for noisy likelihood evaluations in Bayesian inference.

problem Bayesian inference with limited noisy log-likelihood evaluations from complex models.
method Hierarchical Gaussian process surrogate model for log-likelihood, batch-sequential design strategies.
result Robust, highly parallelizable, and sample-efficient method.

We propose a Bayesian optimization algorithm for objective functions that are sums or integrals of expensive-to-evaluate functions, allowing noisy evaluations. These objective functions arise in multi-task Bayesian optimization for tuning machine learning hyperparameters, optimization via simulation, and sequential des…

2018-03-23abs ↗pdf ↗

New method approximates non-submodular functions, offering first guarantees.

problem Minimizing non-submodular functions without theoretical guarantees.
method Extends submodularity relations to non-submodular functions, offering approximation guarantees.
result First approximation guarantees for non-submodular minimization, optimal under noise.

Study improves estimation of functions from noisy data using convex penalties.

problem Estimating functions from noisy point evaluations of linear operators.
method Tikhonov regularization with convex and pp-homogeneous penalty functionals.
result Derives concentration rates for regularized solutions in symmetric Bregman distance.

This paper proposes automatic tuning of Bayesian Optimization's acquisition function.

problem Optimizing black-box functions with noisy, expensive evaluations and hyperparameter tuning.
method Exploring heuristics to automatically tune acquisition functions in Bayesian Optimization.
result Demonstrates effectiveness of heuristics in automatic Bayesian Optimization.

New algorithm optimizes convex functions with noisy evaluations in one dimension.

problem Optimizing convex functions with noisy zero-order evaluations in one dimension.
method Proposed a computationally efficient algorithm achieving O(1/T)O(1/\sqrt{T}) convergence rate.
result Achieved the optimal O(1/T)O(1/\sqrt{T}) convergence rate, closing the gap in one dimension.

New algorithm improves efficiency and cost of noisy optimization.

problem Noisy optimization problems in expensive function evaluations.
method Tree-based zoom strategy for parallel surrogate optimization.
result ProSRS achieves faster convergence and lower cost compared to state-of-the-art algorithms.

Study tackles nonlinear factor models with unknown monotone links from incomplete and noisy data.

problem Learning nonlinear factor models with unknown monotone links from incomplete and noisy data.
method Formulated as joint recovery of low-rank factors, loadings, and nonlinear link function; proposed BCD algorithm with regularization.
result Established convergence guarantees and sublinear regret bounds for link-function updates.

Agents learning to act autonomously in real-world domains must acquire a model of the dynamics of the domain in which they operate. Learning domain dynamics can be challenging, especially where an agent only has partial access to the world state, and/or noisy external sensors. Even in standard STRIPS domains, existing …

2012-10-16abs ↗pdf ↗

PCTS optimizes noisy, delayed, multi-fidelity feedbacks in black-box optimization.

problem Optimizing unknown functions with noisy, delayed, and multi-fidelity feedbacks.
method ProCrastinated Tree Search (PCTS) with DUCB1 and DUCBV algorithms.
result PCTS achieves better regret bounds for delayed, noisy, and multi-fidelity feedbacks.

This paper tackles safe global optimization of noisy functions with a Lipschitz condition.

problem Safe global maximization of expensive, noisy, Lipschitz functions.
method Develops a δ-Lipschitz framework and two algorithms to ensure safety constraints are met.
result The proposed methods ensure safety constraints are met before evaluating noisy functions.

The paper studies estimating the normalizing constant using queries to a black-box function in RKHS.

problem Estimating the normalizing constant of a function in a reproducing kernel Hilbert space.
method Combines Bayesian quadrature and Bayesian optimization approaches, considering different levels of difficulty based on the parameter λ.
result The difficulty of estimating the normalizing constant varies between Bayesian quadrature and Bayesian optimization, even with noisy function evaluations.

Reconstructing polytopes with fixed facet directions from support function evaluations.

problem Reconstructing polytopes with known facet directions from limited data.
method Least-squares estimate via convex quadratic program, combinatorial characterization for uniqueness, algorithm convergence.
result The least-squares estimate for a fixed simplicial normal fan is a convex quadratic program, and the solution is unique under certain conditions.

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error. Bayesian optimization is a promising technique for efficiently optimizing multi…

2017-06-21abs ↗pdf ↗

Bayesian optimization surveys information-theoretic acquisition functions.

problem Optimizing noisy, expensive, non-convex functions with unknown gradients.
method Bayesian optimization using Gaussian process surrogate models and information-theoretic acquisition functions.
result Information-theoretic acquisition functions outperform others in real scenarios.

BOSH optimizes functions with stochastic evaluations more efficiently and precisely.

problem Optimizing functions with noisy evaluations can lead to suboptimal solutions.
method BOSH uses a hierarchical Gaussian process to generate a growing pool of realizations.
result BOSH provides more efficient and higher-precision optimization than standard BO.

Proposes an ensemble loss function for robust regression.

problem Improving robustness of simple regression models in noisy environments.
method Ensemble techniques applied to a simple regressor with a half-quadratic learning algorithm.
result Significantly improves performance of simple regressors in noisy environments.

DDPMs are robust to noisy score estimates and achieve optimal convergence rates in Wasserstein-2 distance.

problem Evaluating the quality of DDPMs in Wasserstein distance with noisy score estimates.
method Established finite-sample guarantees in Wasserstein-2 distance for DDPMs, considering noisy score estimates.
result Optimal convergence rates in Wasserstein-2 distance for DDPMs, matching Gaussian case.

The ability of learning from noisy labels is very useful in many visual recognition tasks, as a vast amount of data with noisy labels are relatively easy to obtain. Traditionally, the label noises have been treated as statistical outliers, and approaches such as importance re-weighting and bootstrap have been proposed …

2017-03-07abs ↗pdf ↗

In many applications of black-box optimization, one can evaluate multiple points simultaneously, e.g. when evaluating the performances of several different neural network architectures in a parallel computing environment. In this paper, we develop a novel batch Bayesian optimization algorithm --- the parallel knowledge…

2016-06-14abs ↗pdf ↗

This paper studies continuum-armed bandits under Besov smoothness conditions and derives minimax rates.

problem Optimizing an unknown function with limited evaluations.
method Studies continuum-armed bandits under Besov smoothness conditions and derives minimax rates.
result Minimax rates over Besov spaces are identical to those over the smallest Hölder space into which Besov spaces embed.

Deep models can fit noisy labels, but robustness and reliability are still issues.

problem Training deep models with noisy labels leads to unreliable uncertainty quantification.
method Analysis of conditional distribution over noisy labels and evaluation of robust loss functions.
result Strictly proper and robust loss functions preserve accuracy but do not guarantee reliability.

Algorithm identifies Pareto optimal designs efficiently for noisy, multi-objective functions.

problem Optimizing multi-objective functions with noisy data and large design spaces.
method Adaptive discretization and tree-based approach to identify Pareto optimal designs.
result Algorithm identifies Pareto optimal designs with fewer evaluations than exhaustive search.

Flow Annealing Posterior Sampling unifies stochastic-process regression and PDE inverse problems.

problem Function-space posterior sampling for stochastic processes and inverse problems.
method Flow Annealing Posterior Sampling (FAPS) using pretrained function-space flow-matching priors.
result Coherent posterior samples with accurate uncertainty quantification.

Framework for Bayesian inference using GP emulated MH sampler for noisy likelihoods.

problem Approximate Bayesian inference with limited noisy log-likelihood evaluations.
method Gaussian process emulates MH sampler for log-likelihood evaluations; sequential experimental design selects evaluation points.
result Approximate sampler is sample-efficient and robust to GP assumptions.

We consider the problem of adaptive stratified sampling for Monte Carlo integration of a noisy function, given a finite budget n of noisy evaluations to the function. We tackle in this paper the problem of adapting to the function at the same time the number of samples into each stratum and the partition itself. More p…

2013-03-12abs ↗pdf ↗