The study examines various methods for pricing Asian options with discrete dividends.
problem Pricing Asian options with discrete dividends.
method Several approaches including analytical approximations and finite difference methods are compared.
result Hybrid methods and randomized quasi-Monte Carlo methods are effective for different scenarios.
New numerical method for pricing barrier options with continuous monitoring.
problem Pricing barrier options with continuous monitoring of underlying asset.
method Developed a numerical scheme to calculate fluctuation identities for exponential Lévy processes.
result Error analysis shows continuous monitoring limits discretely monitored scheme's accuracy.
A fast method for pricing various financial options.
problem Efficient pricing of discretely monitored early-exercise options.
method A quadrature technique-based method using elementary calculations and a fixed grid.
result Convergence rate of O(1/N4) and complexity of O(MNlogN). RAIM models ICU patient data for better clinical decision support.
problem Challenges in analyzing high-density, heterogeneous patient monitoring data.
method RAIM integrates continuous monitoring data and discrete clinical events using an attention mechanism.
result RAIM predicts physiological decompensation and length of stay with high accuracy.
Paper monitors system state sequences to detect and assess deviations.
problem Detecting and evaluating deviations in dynamic systems.
method Data reduction, symbolic representation, anomaly detection, Markov Chains, generalized Jensen-Shannon Divergence.
result The approach detects and assesses system deviations probabilistically.
A new method uses Legendre multiwavelets to price discrete double barrier options efficiently.
problem Pricing discrete double barrier options efficiently with reduced CPU time.
method Approximating recursive solutions of the heat equation using Legendre multiwavelets and operational matrix form.
result The method significantly reduces CPU time and is efficient for increasing monitoring dates.
New Monte Carlo method for calculating sensitivities of barrier options.
problem Calculating sensitivities for discontinuous payoff functions in barrier options.
method Combining one-step survival idea with stable differentiation approach.
result Calculated sensitivities for different types of barrier options.
New methods estimate Asian option prices more efficiently.
problem Estimating the price of discretely monitored Asian options.
method General multilevel Monte Carlo methods.
result Estimates with standard deviation O(ε) in O(m+(1/ε)2) expected time. A fast numerical method for pricing double barrier options using Lagrange interpolation.
problem Pricing discrete double barrier knock-out call options efficiently.
method Approximating recursive solutions of the heat equation with Lagrange interpolation on Jacobi polynomials nodes.
result The method significantly reduces CPU time as the number of monitoring dates increases.
Improved pricing method for Asian options under Markov processes.
problem Pricing Asian options under Markov processes.
method Explicitly carried out inverse Z-transform and inverse Laplace transform for discretely and continuously monitored cases.
result Explicit single Laplace transforms improve efficiency.
Quantum computer method for pricing lookback options with jumps.
problem Pricing lookback options with discrete monitoring and jump conditions.
method Variational Quantum Imaginary Time Evolution (VarQITE) method to solve non-Hermitian Schrodinger equation.
result Quantum algorithm can handle jump conditions in lookback options pricing.
This paper deals with a high-order accurate implicit finite-difference approach to the pricing of barrier options. In this way various types of barrier options are priced, including barrier options paying rebates, and options on dividend-paying-stocks. Moreover, the barriers may be monitored either continuously or disc…
A wearable ear-EEG sensor monitors sleep patterns without patient involvement.
problem Monitoring sleep patterns without patient inconvenience or medical specialist involvement.
method Unobtrusive in-ear sensor for recording ear-EEG, using SEF and MSFE for classification.
result Achieved accuracies ranging from 78.5% to 95.2% for ear-EEG labels predicted from ear-EEG, and 76.8% to 91.8% for scalp-EEG labels predicted from ear-EEG.
We apply multilevel Monte Carlo for option pricing problems using exponential Lévy models with a uniform timestep discretisation to monitor the running maximum required for lookback and barrier options. The numerical results demonstrate the computational efficiency of this approach. We derive estimates of the convergen…
New swap contracts avoid bias and numerical errors, offering fair values independent of monitoring.
problem Bias and numerical integration errors in standard swap contracts.
method Characterized as solutions to a second-order system of PDEs, identified as a vector space of pay-offs.
result Existence of infinite variety of discretisation-invariant swap contracts with fair values independent of monitoring.
Derives pricing formulae for power binary and normal distribution standard options.
problem Developing pricing models for binary and standard options.
method Incorporates Buchen's formulae into power binary options and derives a formula for normal distribution standard options.
result Derives pricing formulae for power binary and normal distribution standard options.
Adversarial attacks hide cyber-physical attacks in ICS.
problem Hiding cyber-physical attacks in industrial control systems.
method Modeling an attacker compromising sensors, manipulating data, and evaluating attacks on both continuous and mixed data.
result Successfully hides cyber-physical attacks with 2.87 out of 12 sensors compromised on average.
A variance swap is a derivative with a path-dependent payoff which allows investors to take positions on the future variability of an asset. In the idealised setting of a continuously monitored variance swap written on an asset with continuous paths it is well known that the variance swap payoff can be replicated exact…
Paper solves robust optimization with expectation constraints for financial derivatives.
problem Computing robust maximization solutions with expectation constraints.
method Shows a single convex minimization problem for super-replication values.
result No-arbitrage bounds on various financial derivatives.
A novel neural network training method reduces gradient variance for faster and better reinforcement learning.
problem Improving convergence and generalization in deep reinforcement learning.
method Gradient Monitoring (GM) approach to dynamically adjust the learning process based on feedback.
result The proposed methods, especially AM-WGM, significantly enhance model performance and generalization.
New simulation method simplifies Heston model with Poisson conditioning for better accuracy and efficiency.
problem Computational expense in exact simulation schemes for Heston model.
method Proposes a new exact simulation scheme without modified Bessel function evaluations, leveraging conditional integrated variance simplification.
result Good performance in terms of accuracy, efficiency, and reliability compared to existing methods.
AI systems that explain their decisions can be monitored for harmful intentions.
problem Monitoring AI systems' decision-making processes for harmful intentions is imperfect and can miss some misbehavior.
method Monitoring the chain of thought (CoT) of AI systems that communicate in human language.
result CoT monitoring is a promising but fragile approach to AI safety.
Spectral filters enhance option pricing methods using Hilbert transforms.
problem Improving convergence rates of option pricing methods.
method Using spectral filters to improve convergence of numerical schemes based on discrete Hilbert transforms.
result Improved convergence rates, especially polynomial convergence, achieved with spectral filtering.
Modeling time series with jumps using neural networks and stochastic processes.
problem Capturing the dynamics of time series with both continuous flows and discrete jumps.
method Introducing Neural Jump Stochastic Differential Equations (Neural JSDEs) that extend Neural Ordinary Differential Equations (Neural ODEs) with a stochastic process term.
result Demonstrated the model's predictive capabilities on various datasets, including Hawkes processes, Stack Overflow awards, medical records, and earthquake monitoring.
Since Hobson's seminal paper [D. Hobson: Robust hedging of the lookback option. In: Finance Stoch. (1998)] the connection between model-independent pricing and the Skorokhod embedding problem has been a driving force in robust finance. We establish a general pricing-hedging duality for financial derivatives which are s…
The CONLeg method prices and hedges various option types using Legendre series.
problem Pricing and hedging European-type, early-exercise, and discrete-monitored barrier options.
method Algorithm for the convolution of Legendre series (CONLeg method) applied to Levy process.
result High accuracy in pricing and hedging, especially for deep out-of-the-money and long/mature options.
Simple online monitor detects unsafe LLM outputs.
problem LLMs generate unsafe outputs despite training.
method Thresholding external verifier signal to decide alarms.
result Simple design competitive with advanced methods.
There are no known exact formulas for the valuation of a number of exotic options, and this is particularly true for options under discrete monitoring and for American style options. Therefore, one usually recourses to a Monte Carlo Simulation approach, amongst other numerical methods, to estimate the value of these op…
Effective dimensionality reduction improves accuracy and reduces costs in estimating option Greeks.
problem Estimating Greeks for barrier and arithmetic average Asian options.
method Global sensitivity analysis, Chebyshev interpolation, conditional pathwise method, randomized Quasi Monte Carlo, Brownian bridge discretization, importance sampling.
result Reduced effective dimensionality enhances convergence rate and accuracy of randomized Quasi Monte Carlo integration.
This research tackles monitoring machine learning algorithms post-deployment, addressing performativity issues.
problem Monitoring machine learning algorithms after deployment, especially when they affect their own data-generating process.
method Uses causal inference techniques to navigate performativity and compares different monitoring criteria and data sources.
result Different monitoring systems have varying operating characteristics and implications for ML monitoring design.
Paper improves ETF tail-risk monitoring reliability.
problem Unreliable ETF risk monitoring under degraded data.
method Combines quality checks, prediction, scoring, and adjustment.
result Improves tail-risk monitoring, especially during stressed periods.
The article calculates the most-likely path for Asian option pricing in local volatility models.
problem Approximating the price of Asian options in local volatility models.
method Path-integral approach using Brownian bridge and Laplace asymptotic formula.
result The most-likely path (MLP) is found to approximate the option price in the limit of small sampling time.
Tensor analysis improves structural health monitoring of complex aerospace systems.
problem Highly redundant and correlated sensor data in structural health monitoring.
method Tensor-based learning for multi-way structural data analysis.
result Tensor-based approach successfully detects damage in aeroservoelastic models.
Adaptive activity monitoring framework for wearable sensors.
problem Efficiently monitor human activities with low power consumption.
method Switching Gaussian process model with block circulant embedding and FFT for inference.
result Optimized trade-off between sensor power consumption and prediction performance.
PITMonitor monitors model calibration over time with formal error guarantees.
problem Fixed-sample tests applied to models over time can lead to false alarms.
method PITMonitor uses mixture e-processes to detect distributional shifts in probability integral transforms.
result PITMonitor achieves competitive detection rates on river's FriedmanDrift benchmark.
The paper adds explanation to predictive process monitoring.
problem Equipping predictive business process monitoring with explanation capabilities.
method Used game theory of Shapley Values to obtain robust explanations.
result First time explanations given in predictive business process monitoring.
CT-OT Flow estimates continuous-time dynamics from discrete snapshots.
problem Estimating continuous-time dynamics from temporally aggregated snapshots with noisy or uncertain timestamps.
method Two-stage framework: aligning neighboring intervals via partial optimal transport (POT) and reconstructing a continuous-time distribution through temporal kernel smoothing.
result Reduces distributional and trajectory errors compared with existing methods across synthetic and real datasets.
A new method monitors unstructured 3D shapes without registration.
problem Error-prone registration and mesh reconstruction steps in PCD monitoring.
method Intrinsic geometric properties of shapes, using Laplacian and geodesic distances.
result Effective monitoring of defects without registration and mesh reconstruction.
IDS algorithm optimizes sequential decisions in various monitoring settings.
problem Optimizing sequential decisions in complex monitoring scenarios.
method Information-directed sampling (IDS) algorithm for linear partial monitoring.
result IDS achieves nearly worst-case rate optimality in finite-action games.
Focuses on monitoring and explaining models in real-world applications.
problem Ensuring high quality machine learning services in production environments.
method Statistical techniques for model performance and data monitoring, explanations of predictions.
result Challenges and solutions for implementing monitoring and explanation in production models.
Runtime neuron activation monitoring warns of decisions not supported by training data.
problem Ensuring neural network decisions are backed by training data in safety-critical applications.
method Create a monitor by storing neuron activation patterns from training data. In operation, compare new inputs to monitor for similar patterns.
result Monitors can detect a significant portion of misclassifications not supported by training data with a low false-positive rate.
Surveying low-cost sensors for air quality monitoring and calibration.
problem Limited spatial resolution due to expensive environmental monitoring stations.
method Low-cost sensors with machine learning for calibration.
result Machine learning improves sensor accuracy over time.
Neural system optimizes glucose levels in diabetics.
problem Limited research on continuous glucose maintenance devices.
method Differential predictive control with neural policy and differentiable modeling.
result Improves glucose level optimization in real-time.
Paper improves Fourier methods for finance control problems, ensuring monotonicity and accuracy.
problem Low accuracy and monotonicity issues in Fourier methods for finance control problems.
method Preprocessing step involving projecting Green's function onto linear basis functions.
result Algorithm is monotone, ℓ∞-stable, and satisfies an ε-discrete comparison principle. Optimal probing framework for scalable network monitoring.
problem Efficiently monitor growing cloud networks with limited budgets.
method A- and E-optimal experimental designs, Frank-Wolfe algorithm approximations.
result Significant reduction in probing budget with low estimation errors.
The paper proposes a method to create efficient remote monitoring models.
problem Large and complex machine learning models are unsuitable for remote monitoring on edge devices.
method Decompose the model into a simple local monitoring function and a complex correction term evaluated on the server.
result The proposed framework learns monitoring models with significantly reduced complexity that maintain safety.
New monitoring method detects ML risk models' performance changes in medical interventions.
problem Monitoring ML risk models in healthcare is complicated by confounding medical interventions.
method Developed a new score-based CUSUM monitoring procedure with dynamic control limits.
result Valid inference is possible if conditional exchangeability or time-constant selection bias hold.
Risk monitoring detects when TTA models degrade at test time.
problem Detecting when TTA models degrade at test time.
method Extended risk monitoring tools based on sequential testing with confidence sequences.
result Demonstrated effectiveness of TTA monitoring framework across various datasets and methods.