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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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6531,3051,9582,610 · Jun 202019922001200920172026
48 results for Prior for the Optimum

Bayesian optimisation is improved by incorporating expert prior through space warping.

problem Cold start phase in expensive function optimisation.
method Prior distribution warps the search space around high probability regions of function optimum.
result Improves optimisation performance through acquisition agnostic approach.

Bayesian Optimization with a Prior for the Optimum (BOPrO) improves efficiency and accuracy.

problem Bayesian Optimization's standard priors are not intuitive for domain experts.
method BOPrO injects expert knowledge into the optimization process using priors about the optimum.
result BOPrO is 6.67x faster than state-of-the-art methods and achieves new state-of-the-art performance.

Optimizes expensive experiments by incorporating expert knowledge.

problem Expensive experiments require minimizing the number of trials.
method Bayesian optimization with posterior sampling of expert knowledge.
result Demonstrates significant efficiency gains in experiments and hyperparameter tuning.

Optimum-statistical collaboration improves black-box optimization efficiency.

problem Improving black-box optimization efficiency through better statistical collaboration.
method Introducing optimum-statistical collaboration framework for hierarchical bandits-based optimization.
result Demonstrated improved regret bounds and better performance in experiments.

πBO augments BO with user beliefs for better hyperparameter optimization.

problem BO ignores user beliefs, reducing its appeal to practitioners.
method Proposes ππBO, an acquisition function that incorporates user-provided prior beliefs.
result ππBO outperforms competing approaches and deep learning tasks.

Bayesian optimization stops when a solution is within ε of the optimum with high probability.

problem Stopping Bayesian optimization prematurely based on a probabilistic criterion.
method Introducing a (ε,δ)(ε, δ)-criterion for stopping Bayesian optimization.
result Bayesian optimization satisfies the (ε,δ)(ε, δ)-criterion under mild assumptions.

Bayesian optimization improves with nonstationary covariance functions.

problem Stationary covariance functions fail to capture prior information in high dimensions.
method Proposes nonstationary covariance functions to encode prior information and adaptively promote local exploration.
result Nonstationary covariance functions increase sample efficiency in high dimensions.

Bayesian optimization has demonstrated impressive success in finding the optimum input x* and output f* = f(x*) = max f(x) of a black-box function f. In some applications, however, the optimum output f* is known in advance and the goal is to find the corresponding optimum input x*. In this paper, we consider a new sett…

2019-05-07abs ↗pdf ↗

We consider the problem of search through comparisons, where a user is presented with two candidate objects and reveals which is closer to her intended target. We study adaptive strategies for finding the target, that require knowledge of rank relationships but not actual distances between objects. We propose a new str…

2012-06-18abs ↗pdf ↗

Optimal transport offers an alternative to maximum likelihood for learning generative autoencoding models. We show that minimizing the p-Wasserstein distance between the generator and the true data distribution is equivalent to the unconstrained min-min optimization of the p-Wasserstein distance between the encoder agg…

2018-10-02abs ↗pdf ↗

Study uses Bayesian Optimization to analyze noise effects in materials research.

problem Optimizing materials with many variables and experimental noise.
method Batch Bayesian Optimization with synthetic data analysis.
result Noise sensitivity varies by problem landscape, impacting optimization outcomes.

Novel method for high-dimensional BO using CMA to define local regions.

problem Challenges in applying BO to high-dimensional optimization problems.
method CMA strategy to learn search distribution and define local regions.
result Our method outperforms existing techniques on various benchmarks.

Meta-BO method clusters and learns from prior tasks to optimize heterogeneous functions.

problem Optimizing multiple functions with historical data and scalability issues.
method Clustering-based meta-learning, surrogate prototypes, adaptive weighting policies.
result Scalable and robust meta-BO method improves convergence to global optimum.

This paper compares three portfolio designs for Indian stocks.

problem Designing an optimum portfolio that balances return and risk.
method Three approaches: minimum risk, optimum risk, and Eigen portfolios.
result Optimum risk portfolios and Eigen portfolios identified for each sector.

Gradient descent with noise converges to a unique optimum in nonconvex matrix factorization.

problem Gradient descent with noise converges to a unique optimum in nonconvex matrix factorization.
method A perturbed form of gradient descent with arbitrary initialization.
result Gradient descent with noise converges to a unique optimum.

A new Bayesian framework simplifies stochastic optimization by focusing on key parameters.

problem Bayesian methods struggle with complex structural constraints.
method Minimalist Bayesian framework that eliminates nuisance parameters via profile likelihood.
result Near-optimal regret guarantees for multi-armed bandits and convex optimization.

Community detection using both graphs and social networks is the focus of many algorithms. Recent methods aimed at optimizing the so-called modularity function proceed by maximizing relations within communities while minimizing inter-community relations. However, given the NP-completeness of the problem, these algorith…

2014-06-26abs ↗pdf ↗

MINTS uses a minimalist Bayesian framework to tackle multi-armed bandits with structural constraints.

problem Sequential decision-making under uncertainty with complex structural constraints.
method Minimalist Bayesian framework with profile likelihood to eliminate nuisance parameters.
result MINTS achieves near-optimal regret guarantees and adapts to unimodal structure.

New algorithms improve likelihood of finding global optima in Bayesian inference.

problem Finding global optima in Bayesian inference is difficult due to nonconvexity.
method Developed two algorithms: consistent Laplace approximation (CLA) and consistent stochastic variational inference (CSVI).
result Both CSVI and CLA improve likelihood of obtaining global optima compared to standard methods.

Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum. The reason for the absence of probabilistic global optimizers is that the corres…

2011-12-06abs ↗pdf ↗

A new framework for performative prediction robust to distributional misspecification.

problem Performative prediction models can be influenced by their own predictions, leading to suboptimal outcomes.
method Introduces distributionally robust performative prediction (DRPO) to approximate the true performative optimum (PO) robustly.
result DRPO provides provable guarantees as a robust approximation to the true PO when the nominal distribution map is misspecified.

Paper explores how uncertainty quantification improves Transformer's in-context learning ability.

problem Understanding and quantifying in-context learning ability of Transformers.
method Revisit linear regression tasks with bi-objective prediction (conditional expectation and variance).
result Trained Transformers achieve near Bayes-optimum performance, suggesting use of training distribution.

In linear regression we wish to estimate the optimum linear least squares predictor for a distribution over dd-dimensional input points and real-valued responses, based on a small sample. Under standard random design analysis, where the sample is drawn i.i.d. from the input distribution, the least squares solution for…

2019-07-08abs ↗pdf ↗

Enhanced aerodynamic design using machine learning and Gaussian processes.

problem High computational costs and local optima in adjoint-based aerodynamic optimization.
method Surrogate-based framework combining deep neural networks and Gaussian processes.
result Improves accuracy and reduces computational cost compared to adjoint-based methods.

Proposes qPO, a new acquisition strategy for batched Bayesian optimization that maximizes the probability of including the optimum.

problem Efficiently identifying top-performing compounds from a large chemical library.
method qPO (multipoint Probability of Optimality) acquisition strategy that maximizes the probability of including the true optimum.
result Empirical evidence shows that qPO is competitive with and complements other state-of-the-art methods in batched Bayesian optimization.

Exact causal network discovery is polynomial for sparse networks.

problem Finding the optimal causal Bayesian network from data is computationally hard.
method Pruning the search space using network properties, combined with dynamic programming and shortest-path searches.
result Exact discovery is polynomial for sparse causal Bayesian networks.

We propose an optimum mechanism for providing monetary incentives to the data sources of a statistical estimator such as linear regression, so that high quality data is provided at low cost, in the sense that the sum of payments and estimation error is minimized. The mechanism applies to a broad range of estimators, in…

2014-08-11abs ↗pdf ↗

In online learning, the dynamic regret metric chooses the reference (optimal) solution that may change over time, while the typical (static) regret metric assumes the reference solution to be constant over the whole time horizon. The dynamic regret metric is particularly interesting for applications such as online reco…

2018-10-08abs ↗pdf ↗

New framework for consistent submodular maximization with insertions and deletions.

problem Maintaining near-optimal solutions in a dynamic setting with insertions and deletions.
method Developed a general framework for fully dynamic submodular maximization, instantiated for cardinality and rank-k matroid constraints.
result First constant-factor approximations with sublinear consistency for both cardinality and rank-k matroid constraints.

SOLO uses DNN to optimize complex topology problems with reduced FEM calculations.

problem Optimizing materials distribution in complex domains with high computational cost.
method Integrates DNN with FEM calculations to learn and substitute objective functions dynamically.
result Optimum predicted by DNN converges to true global optimum through iterations.