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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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68136203271 · Jun 202019922001200920182026
48 results for Adaptive optimisation

Geometric methods solve sampling, optimisation, inference, and adaptive decision-making.

problem Efficient solutions for sampling, optimisation, inference, and adaptive decision-making.
method Derive algorithms exploiting geometric structures of Hamiltonian systems, Hilbertian subspaces, and information geometry.
result Wide range of geometric theories emerge in these fields, enabling efficient solutions.

New optimised adaptive importance samplers converge faster than standard methods.

problem Improving Monte Carlo estimators for target distributions.
method Optimised adaptive importance samplers using convex optimisation of χ2χ^2-divergence.
result Convergence rate of O(1/N)\mathcal{O}(1/\sqrt{N}) for optimised samplers, with explicit iteration and sample dependence.

A new method solves general elliptical mixture models using approximate Wasserstein distance.

problem Estimating general elliptical mixture models with robust and stable optimization.
method Adaptive optimisation method on a statistical manifold defined under an approximate Wasserstein distance.
result The method provides a stable and superior optimum for EMMs, improving upon Kullback-Leibler divergence.

Deep sum-product networks learn faster than shallow models.

problem The speed of parameter optimization in sum-product networks.
method Theoretical analysis and empirical experiments on overparameterized sum-product networks.
result Gradient-based optimization in deep sum-product networks is equivalent to gradient ascent with adaptive and time-varying learning rates and additional momentum terms.

Optimal switching regret for all segmentations in online convex optimisation.

problem Non-stationary online convex optimisation problems.
method Developed an efficient algorithm to achieve optimal switching regret on every possible segmentation.
result Achieved asymptotically optimal switching regret on every possible segmentation simultaneously.

Study improves Bayesian optimisation with ensemble transfer learning.

problem Improving sample efficiency in Bayesian optimisation of expensive functions.
method Empirical analysis of ensemble-based transfer learning methods and pipeline components.
result Two components (warm start initialisation and positive weight constraint) improve transfer learning Bayesian optimisation performance.

Improves Bayesian optimisation for engineering design problems with many variables.

problem Efficiently searching for global minima in high-dimensional design spaces.
method Integrates input and output data to identify a reduced latent subspace using probabilistic partial least squares.
result Significant improvements in convergence to the global minimum compared to existing methods.

We describe a novel algorithm for noisy global optimisation and continuum-armed bandits, with good convergence properties over any continuous reward function having finitely many polynomial maxima. Over such functions, our algorithm achieves square-root regret in bandits, and inverse-square-root error in optimisation, …

2013-02-11abs ↗pdf ↗

AISLE framework improves on IWAE by directly optimising proposal distribution.

problem IWAE's multi-sample objective leads to inference-network gradients that break down with increasing samples.
method Introduces AISLE framework, which optimises proposal distribution directly.
result AISLE admits IWAE-STL and IWAE-DREG as special cases, avoiding breakdown.

Bayesian optimisation for dynamically adjusting learning rates in machine learning models.

problem Dynamic adjustment of learning rates schedules in machine learning models.
method Probabilistic model based on latent Gaussian processes and auto-/regressive formulation.
result Flexibly adjusts learning rates schedules to abrupt changes of behaviours.

Paper proposes a new Bayesian optimisation method to handle aleatoric uncertainty.

problem Representing and minimizing aleatoric noise in Bayesian optimisation.
method Heteroscedastic Gaussian process (GP) surrogate model with AEI and ANPEI acquisition functions.
result Improved performance on toy problems and real-world datasets compared to homoscedastic methods.

New algorithms solve games to find optimal exploration strategies.

problem Sequentially gather information to answer queries about stochastic environments.
method Interpret optimisation problem as a game and use iterative strategies to estimate its saddle point.
result First finite confidence guarantees for pure exploration in exponential families.

Improved inference for heterogeneous multi-output Gaussian processes using natural gradient optimization.

problem Challenges in adaptive gradient optimization for multi-output Gaussian processes.
method Introducing a fully natural gradient scheme to overcome optimization issues.
result Better local optima solutions and higher test performance rates compared to adaptive gradient methods.

Investigates gradient descent dynamics and introduces new regularisation methods.

problem Understanding and mitigating gradient descent instabilities and interactions with smoothness regularisation.
method Derives continuous-time flows to account for discretisation drift, constructs learning rate schedules and regularisers.
result New regularisation methods improve performance in reinforcement learning.

Develops a two-layer model to design mortgage assistance products.

problem Designing effective mortgage assistance products to improve household resilience.
method Two-layer approach: simulation and optimization.
result Shows how the approach can design and evaluate mortgage assistance products.

Functional Magnetic Resonance Imaging (fMRI) relies on multi-step data processing pipelines to accurately determine brain activity; among them, the crucial step of spatial smoothing. These pipelines are commonly suboptimal, given the local optimisation strategy they use, treating each step in isolation. With the advent…

2017-10-02abs ↗pdf ↗

During recent years there has been an increased interest in stochastic adaptations of limited memory quasi-Newton methods, which compared to pure gradient-based routines can improve the convergence by incorporating second order information. In this work we propose a direct least-squares approach conceptually similar to…

2018-09-29abs ↗pdf ↗

Bayesian optimization adapted for experiments with changing environmental conditions.

problem Optimizing experiments influenced by uncontrollable environmental factors.
method Extends Bayesian optimization to handle both controllable and uncontrollable parameters, fitting a global surrogate model and optimizing only controllable parameters conditionally on measurements of uncontrollable variables.
result The proposed ENVBO algorithm finds solutions for the full domain of the environmental variable more efficiently and cost-effectively than traditional methods.

Develops a neural surrogate for proton dose calculation using Monte Carlo dropout uncertainty.

problem Computational demand in proton therapy workflows requiring repeated evaluations.
method Integrates Monte Carlo dropout into a neural network surrogate for fast, differentiable dose predictions and uncertainty quantification.
result Shows significant speedups over MC while retaining uncertainty information.

Deep RL optimizes sensor placement in digital twins for dynamic data acquisition.

problem Limited applicability of traditional sensor placement techniques for online applications.
method Formulates sensor placement as a Markov decision process and uses deep reinforcement learning.
result Improves predictive accuracy and reliability of digital twins through adaptive sensor repositioning.

It is now well known that decentralised optimisation can be formulated as a potential game, and game-theoretical learning algorithms can be used to find an optimum. One of the most common learning techniques in game theory is fictitious play. However fictitious play is founded on an implicit assumption that opponents' …

2011-12-11abs ↗pdf ↗

Extends hyperparameter transfer across model sizes and modules, improving training speed.

problem Training stability and performance of large-scale models with optimal hyperparameters.
method Complete(d)^{(d)} Parameterisation, per-module hyperparameter optimisation and transfer.
result Hyperparameter transfer holds even in the per-module hyperparameter regime, improving training speed.

This paper explores optimising acquisition functions in Bayesian optimisation.

problem Optimising acquisition functions in Bayesian optimisation is challenging due to their non-convex nature.
method The authors derive compositional forms for acquisition functions and use them to recast maximisation as a compositional optimisation problem.
result The compositional approach to maximising acquisition functions shows empirical advantages across various tasks.

AI simplifies trading strategies, potentially making markets more efficient.

problem Efficient market hypothesis (EMH) relies on traders optimising trading strategies based on information.
method Generalised notion of market efficiency, distinguishing model complexity through investor beliefs and trading strategies.
result Increased availability of low-cost AI systems may push towards more advanced trading strategies, potentially harder for inefficient traders.

POLAR learns efficient data acquisition policies using pretrained belief representations.

problem Challenges in learning effective policies for adaptive data acquisition.
method POLAR decouples representation learning from policy learning by leveraging pretrained predictive foundation models as belief-state encoders.
result POLAR outperforms state-of-the-art methods across diverse tasks while requiring fewer training samples.

Unified Bayesian Optimisation for mixed variables improves performance.

problem Efficient optimisation of problems with both categorical and continuous variables.
method Derive value proposals from the Expected Improvement criterion to optimise both categorical and continuous variables under a single acquisition metric.
result Unified approach significantly outperforms existing methods across mixed-variable tasks.

A new method learns priors for Bayesian optimisation to improve performance.

problem Bayesian optimisation tasks often assume strong similarity, which is violated in many cases.
method Replace strong similarity assumption with shape similarity, learn priors for hyperparameters.
result PLeBO and prior transfer find good inputs in fewer evaluations.

New method for adaptive sensor placement in continuous spaces reduces detection error.

problem Adaptive sensor placement for detecting stochastic events in continuous intervals.
method Combining Thompson sampling with nonparametric inference via Bayesian histograms.
result Derives an O(T2/3)O(T^{2/3}) bound on Bayesian regret, demonstrating efficiency in simulations.

The study of neurocognitive tasks requiring accurate localisation of activity often rely on functional Magnetic Resonance Imaging, a widely adopted technique that makes use of a pipeline of data processing modules, each involving a variety of parameters. These parameters are frequently set according to the local goal o…

2016-10-13abs ↗pdf ↗

Higher conservative training increases reward-hacking in reasoning models.

problem Reward hacking during online adaptation in reasoning models.
method Conservative offline training with varying levels of conservatism (β) was applied to a Qwen3-14B policy, and online adaptation was measured against a reward ensemble.
result Higher conservatism (β) increases reward-hacking damage, measured by the Goodhart gap and AUGC.

Deep RL algorithms struggle with noisy rewards in portfolio optimisation.

problem Evaluating deep reinforcement learning for portfolio optimisation with market impact.
method Simulated data with geometric Brownian motion and market impact model; Kelly criterion as upper bound; PPO and A2C with GAE; clipping; hidden Markov model for regime changes.
result PPO and A2C with GAE perform better with noisy rewards; PPO with HMM learns different policies for regime changes.

Adaptive model learns from time series data with changing distributions.

problem Predicting time series data under distribution shift.
method Formulates distribution shift as weighted empirical risk minimization. Uses a gradient-based learning method for a forgetting mechanism.
result Proposes an efficient method for adaptive time series prediction.