Research
On-device research index

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

Trend · papers per month

73146219292 · Jun 202019922001200920182026
48 results for uncertain measure

Quantum methods model uncertain volatility in financial markets.

problem Modeling financial asset prices with uncertain volatility.
method Quantum stochastic calculus with unitary and non-unitary time evolution.
result Different volatility levels encoded in quantum states, leading to varied market price evolutions.

The paper tackles mean-variance analysis in Bayesian optimization under uncertainty.

problem Optimizing decisions in uncertain environments considering trade-offs between average and variance of risk.
method Developed bounds for mean and variance risk measures in Gaussian Process models and proposed AL algorithms for multi-task, multi-objective, and constrained optimization scenarios.
result Proposed AL algorithms effectively address the mean-variance trade-off in uncertain optimization scenarios.

Risk is an inherent feature of agricultural production and marketing and accurate measurement of it helps inform more efficient use of resources. This paper examines three tail quantile-based risk measures applied to the estimation of extreme agricultural financial risk for corn and soybean production in the US: Value …

2011-03-30abs ↗pdf ↗

Paper proposes efficient method for estimating risk measures in complex models.

problem Accurately estimating distortion risk measures in computationally expensive models.
method Integrates importance sampling and machine learning for efficient Monte Carlo estimation.
result Demonstrates significant reduction in computational cost for estimating risk measures.

Mining discriminative features for graph data has attracted much attention in recent years due to its important role in constructing graph classifiers, generating graph indices, etc. Most measurement of interestingness of discriminative subgraph features are defined on certain graphs, where the structure of graph objec…

2013-01-28abs ↗pdf ↗

GPMI method interpolates uncertain atrial conduction velocity on non-Euclidean manifolds.

problem Uncertainty in atrial conduction velocity calculations.
method Gaussian Process Manifold Interpolation (GPMI) on human atrial manifolds.
result GPMI accounts for atrial topology and calculates CV uncertainty.

The paper develops robust risk measures for uncertain loss positions.

problem Risk assessment for loss positions with uncertain distributions.
method Robust optimized certainty equivalents and generalized quantiles are proposed and analyzed.
result Robust expectiles with specific penalization functions are coherent risk measures.

Bayesian Gaussian process models handle uncertain data locations in PDE approximations.

problem Handling uncertainties in data locations for PDE approximations.
method Bayesian inference of uncertain inputs integrated into Gaussian process predictions.
result Substantial reduction in predictive uncertainties achieved through Bayesian inference.

New clustering method for uncertain data using Wasserstein barycenters.

problem Clustering uncertain and structured data with observational/experimental error.
method Wasserstein barycenters and geodesic criterion for optimal clustering.
result Effective clustering of complex data in astronomy, biology, and remote sensing.

In this paper, we propose the uncertain volatility models with stochastic bounds. Like the regular uncertain volatility models, we know only that the true model lies in a family of progressively measurable and bounded processes, but instead of using two deterministic bounds, the uncertain volatility fluctuates between …

2017-02-16abs ↗pdf ↗

This paper proposes a general active learning framework to improve classifier performance.

problem Finding the most suitable samples for training a classifier with limited prior information.
method A general active learning framework that fuses representativeness and informativeness criteria without data structure assumptions.
result The proposed algorithm consistently achieves superior performance over state-of-the-art methods.

UnKGCP generates prediction intervals for uncertain knowledge graphs with statistical guarantees.

problem Lack of quantified predictive uncertainty in existing UnKGE methods.
method Proposes extsc{UnKGCP} framework using conformal prediction with a novel nonconformity measure.
result Sharp prediction intervals effectively capture predictive uncertainty in diverse UnKGE methods.

Improves prediction accuracy in document classification by measuring uncertainty.

problem Ensuring limited human resources focus on uncertain predictions in text classification.
method Proposes a neural-network-based model using dropout-entropy for uncertainty measurement and metric learning on feature representations.
result Significant improvement in overall prediction accuracy, from 0.78 to 0.92, when 30% of most uncertain predictions are handed over to human experts.

Develops a risk-sensitive reinforcement learning framework for uncertain environments.

problem Learning in uncertain environments with varying risk preferences.
method Integrates utility functions and risk measures into reinforcement learning, tuning risk preference with parameter β.
result Risk-averse, risk-neutral, and risk-taking behaviors can be achieved and compared.

Develops a framework for quantifying agentic AI model risk using LLM-inferred Bayesian state filters.

problem Quantifying the risk of agentic AI systems due to uncertain beliefs and actions.
method Representing the system as a partially observed Markov decision process with latent states, Bayesian belief updates, control-dependent losses, and tail-risk functionals.
result Develops a rigorous framework for separating uncertainty quantification from risk measurement.

Safe learning in uncertain systems with state measurements and optimization.

problem Safe learning in nonlinear control-affine systems with unknown additive uncertainty.
method Model uncertainty as Gaussian noise, learn mean and covariance, use optimization to adjust control input.
result Guaranteed safety with arbitrarily large probability while learning and control proceed simultaneously.

The paper explores how to handle uncertain evidence in probabilistic models.

problem Handling uncertain evidence in probabilistic models and stochastic simulators.
method The paper considers distributional evidence, Jeffrey's rule, and virtual evidence as methods for interpreting uncertain evidence.
result The paper provides guidelines on how to account for uncertain evidence and highlights the importance of careful consideration.

The Surprise index assesses autonomous systems' competency in uncertain environments.

problem Evaluating competency of autonomous systems in dynamic, uncertain environments.
method Surprise index, a measure that quantifies system performance based on available data.
result The Surprise index can be computed for dynamic systems with Gaussian marginal distributions.

The paper studies robust risk measures with linear penalties under uncertain distributions.

problem Risk measurement under distributional uncertainty.
method Robust distortion risk measures with linear penalty function under distributional constraints.
result Explicit characterization of optimal quantile distribution and value function.

A robot learns environmental fields using physics-based models and Bayesian methods.

problem Accurately learning complex environmental fields from limited robot measurements.
method Bayesian framework with Gaussian processes to select and update physics-based models in real-time.
result The robot's learned flow field approximates real flow better than prior solutions and data-driven methods.

In this paper, within the framework of uncertainty theory, the valuation of equity warrants is investigated. Different from the methods of probability theory, the equity warrants pricing problem is solved by using the method of uncertain calculus. Based on the assumption that the firm price follows an uncertain differe…

2017-11-22abs ↗pdf ↗

New model predicts dynamic volatility in uncertain financial markets.

problem Predicting dynamic volatility in financial markets with uncertainty.
method Generalized Barndorff-Nielsen and Shephard (BN-S) model considering delay and fuzziness.
result Effective prediction of dynamic volatility with improved performance.

Proposes MEDIC to improve incremental learning by preventing forgetting and intransigence.

problem Challenges of forgetting old knowledge and intransigence on new knowledge in incremental learning.
method Maximum Entropy Regularizer (MER) and DropOut Sampling (DOS) to penalize uncertain knowledge and reduce class imbalance.
result Proposed method 'MEDIC' outperforms state-of-the-art algorithms in accuracy, forgetting, and intransigence.

The framework of this paper is that of risk measuring under uncertainty, which is when no reference probability measure is given. To every regular convex risk measure on Cb(Ω){\cal C}_b(Ω), we associate a unique equivalence class of probability measures on Borel sets, characterizing the riskless non positive elements of $…

2010-04-30abs ↗pdf ↗

A network of independently trained Gaussian processes (StackedGP) is introduced to obtain predictions of quantities of interest with quantified uncertainties. The main applications of the StackedGP framework are to integrate different datasets through model composition, enhance predictions of quantities of interest thr…

2016-12-09abs ↗pdf ↗

New algorithm for reinforcement learning in uncertain environments with unknown thresholds.

problem Safety in reinforcement learning in unknown and uncertain environments.
method Growing-Window estimator sampling and Stochastic Pessimistic-Optimistic Thresholding (SPOT) algorithm.
result Achieves sublinear regret and constraint violation of ildeO(T) ilde{\mathcal{O}}(\sqrt{T}).

A machine learning method optimizes portfolio and hedging under uncertain market parameters.

problem Optimizing portfolios and hedging under drift and volatility uncertainty.
method Machine learning approach solving adaptive robust control problems.
result Demonstrates financial advantages of adaptive robust framework.

This paper optimizes portfolio rebalancing under uncertain security returns using meta-heuristic algorithms.

problem Optimizing portfolio rebalancing under uncertain security returns with transaction costs.
method Meta-heuristic algorithms (genetic algorithm) for solving the portfolio rebalancing problem.
result Meta-heuristic algorithms provide better results than global optimization solvers for portfolio rebalancing under uncertainty.

A method for accurate pricing of multidimensional derivatives under uncertain volatility.

problem High-dimensional stochastic control problem in uncertain volatility model.
method Backward actor-critic stochastic policy gradient scheme combining DP, PPO, and neural networks.
result Accurate and efficient pricing of multidimensional derivatives compared to benchmarks.

The paper addresses portfolio allocation with uncertain covariance matrices, finding a logarithmic risk dependence.

problem Portfolio allocation with uncertain covariance matrices.
method Calculates the expected value of CARA utility function over a distribution of covariance matrices, considering uncertainty in future returns and covariances.
result Marginalization introduces a logarithmic dependence on risk, leading to lower allocation levels for higher uncertainties.

This paper examines how data affects risk measures in uncertain distributions.

problem How does distributional ambiguity affect risk measures?
method Formulated and derived simpler dual problems for infinite and finite dimensional robust moment problems.
result Developed theory and conducted experiments in inventory control and portfolio management.

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.

Paper proposes a transfer learning method for learning with label proportions that handles uncertain data.

problem Learning with label proportions (LLP) for uncertain data.
method Transfer learning approach to transfer knowledge from source to target tasks with uncertain data.
result The proposed TL-LLP method achieves better accuracy and is less sensitive to noise.

Framework for games with uncertain parameters, ensuring no player can improve by changing strategy.

problem Non-cooperative games with globally uncertain parameters and no common prior.
method Mixed strategies and subjective priors, Extended Equilibrium defined by fixed-point argument.
result Existence of Extended Equilibrium under certain conditions.