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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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16 results for multiple-priors

New characterisation of no-arbitrage condition in discrete time with multiple-priors.

problem Characterizing no-arbitrage in a multiple-priors setting.
method Proposed a new characterisation equivalent to existing no-arbitrage conditions.
result The new characterisation is equivalent to several no-arbitrage conditions and allows proof of important results.

Extends Gaussian Process regression for handling multiple prior distributions.

problem Handling multiple prior distributions in Bayesian Machine Learning models.
method Mixtures of Gaussian Processes with analytical and Sparse Variational approaches.
result Effective in accounting for prior misspecification in functional regression problems.

Study optimizes insurance liability cash flows with regulatory capital requirements.

problem Valuation of insurance liabilities under regulatory capital constraints.
method Multiple-prior optimal stopping theory applied to insurance liabilities, considering hypothetical transfer and repeated capital requirements.
result Proposes a valuation functional for non-replicable cash flows, incorporating a margin for regulatory capital considerations.

We consider optimal consumption and portfolio choice in the presence of Knightian uncertainty in continuous-time. We embed the problem into the new framework of stochastic calculus for such settings, dealing in particular with the issue of non-equivalent multiple priors. We solve the problem completely by identifying t…

2014-01-08abs ↗pdf ↗

Defines certainty equivalent and utility indifference pricing for incomplete preferences.

problem Incomplete preferences represented by multiple priors and utility functions.
method Defines certainty equivalent and utility buy/sell prices as set-valued functions of claims, proves monotonicity and convexity properties, approximates bounds via convex vector optimization.
result Certainty equivalent and indifference price bounds can be computed or approximated by convex vector optimization.

Introduces Rashomon Capacity to measure predictive multiplicity in probabilistic classifiers.

problem Predictive multiplicity in classification models leading to unjustified decisions.
method Introduces Rashomon Capacity, a metric for probabilistic classifiers, and provides a rigorous derivation.
result Rashomon Capacity captures nuanced score variations and provides strategies for disclosing conflicting models.

This study examines LiDAR spoofing attacks on autonomous vehicle perception.

problem Security vulnerabilities in LiDAR-based perception systems in autonomous driving.
method Formulated as an optimization problem, designed input perturbation and objective functions, combined optimization and global sampling.
result Attack success rates improved to around 75% through strategic input perturbation.

Improved MRI head anatomy segmentation using deep learning with multiple priors.

problem Challenges in segmenting head anatomy in MRI, especially with lesions.
method Added three types of prior information to a 3D convolutional network: spatial priors, morphological priors, and spatial context.
result Multiprior network improves segmentation performance, especially for abnormal anatomies.