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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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48 results for exogenous state

We formalize and decompose reinforcement learning problems with exogenous state variables and rewards.

problem Exogenous state variables and rewards slow down reinforcement learning.
method Formalized exogenous state variables and rewards, decomposed MDPs, derived variance-covariance condition, developed algorithms.
result Monte Carlo policy evaluation on the endogenous MDP is accelerated compared to using the full MDP.

The paper tackles reinforcement learning with exogenous variables and rewards.

problem Exogenous state variables and rewards slow reinforcement learning by introducing uncontrolled variation.
method Formalizes exogenous state variables and rewards, decomposes MDP into exogenous and endogenous components, and introduces algorithms to discover these components.
result Optimal policies for the endogenous MDP are also optimal for the original MDP, but the endogenous MDP is easier to solve due to reduced variance.

We study Exo-MDPs to reduce sample complexity in reinforcement learning.

problem Reducing sample complexity in reinforcement learning for structured MDPs.
method Introducing Exo-MDPs and proving structural equivalence to linear mixture MDPs, establishing regret bounds.
result Proved O(H3/2dK)O(H^{3/2}d\sqrt{K}) regret bound for Exo-MDPs, matching lower bounds.

SPECTRA improves probabilistic energy forecasting by separating trends and uncertainties.

problem Interacting uncertainties from renewable intermittency, demand flexibility, market volatility, and weather impact probabilistic forecasts.
method Adaptive state-space exogenous context and temporal-frequency resolution architecture.
result Achieved best CRPS in 14 out of 18 settings, reducing CRPS by 5.74% and upper-tail quantile risk by 7.27%.

HRHN predicts time series by integrating exogenous data and temporal dynamics.

problem Challenges in predicting time series with exogenous data and temporal dynamics.
method Hierarchical attention-based Recurrent Highway Network (HRHN) that considers interactions among exogenous variables and temporal dynamics.
result HRHN outperforms state-of-the-art methods in time series prediction, especially in capturing sudden changes and oscillations.

HL algorithms improve resource allocation in cloud environments.

problem Sequential decision-making under uncertainty with exogenous variables.
method HL algorithms leverage exogenous variable samples to infer counterfactual consequences.
result HL algorithms outperform classic methods and reinforcement learning in resource allocation.

Deep state space model forecasts time series with uncertainty.

problem Probabilistic forecasting for risk management.
method Parameterized deep networks for non-linear models, recurrent neural nets for dependency, ARD network for exogenous variables.
result Accurate and sharp probabilistic forecasts with realistic uncertainty growth.

Study liquidity provision with exogenous competition using a reference market maker.

problem Liquidity provision in the presence of exogenous competition.
method Model a reference market maker who optimizes posted depths, competing market makers using a rule of thumb.
result Model admits approximate closed-form solution for a linear-quadratic goal functional.

We consider the problem of identifying the causal direction between two discrete random variables using observational data. Unlike previous work, we keep the most general functional model but make an assumption on the unobserved exogenous variable: Inspired by Occam's razor, we assume that the exogenous variable is sim…

2016-11-12abs ↗pdf ↗

Proposes a multi-variable LSTM for accurate time series forecasting and variable importance.

problem Current attention mechanisms in recurrent neural networks fail to characterize variable importance in time series with exogenous variables.
method Develops a multi-variable LSTM with tensorized hidden states to learn variable importance and a mixture of temporal and variable attention.
result Demonstrates superior prediction performance and variable importance quantification compared to baselines.

Paper develops a new RL method for MDPs with uncertainty, achieving better regret bounds.

problem Online reinforcement learning in environments with both endogenous and exogenous uncertainty.
method Developed a VB-UCRL algorithm that restarts based on variation schedules.
result Established a regret bound of saving at most S\sqrt{S} or S16T112S^{\frac{1}{6}}T^{\frac{1}{12}}.

We investigate the large-volatility dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after large volatilities is characterized by a power law, and the exponents p±p_\pm usually vary with the strength of the large vo…

2010-02-19abs ↗pdf ↗

Study classifies stock price jumps as exogenous or endogenous using news data.

problem Differentiating between exogenous and endogenous price jumps.
method Synchronized news data with order book data to analyze stock price movements.
result Exogenous jumps are abrupt and follow a decaying power-law, while endogenous jumps are progressively accelerating.

New method learns exogenous variable distributions for better causal optimization.

problem Maximizing target variables in structural causal models.
method Learn exogenous variable distributions to improve surrogate models' fidelity.
result Improves approximation of structural causal models and broader application scenarios.

This paper uses NARX neural networks for macroeconomic forecasting and goal setting.

problem Improving accuracy in macroeconomic forecasting and goal setting.
method Literature review and construction of specific NARX neural networks for macroeconomic indicators.
result NARX neural networks can be trained to make accurate predictions for macroeconomic indicators and national goals.
A Creepy Worldphysics.soc-ph

Using the mechanics of creep in material sciences as a metaphor, we present a general framework to understand the evolution of financial, economic and social systems and to construct scenarios for the future. In a nutshell, highly non-linear out-of-equilibrium systems subjected to exogenous perturbations tend to exhibi…

2014-01-14abs ↗pdf ↗

Method identifies unknown intervention targets in structural causal models from diverse data.

problem Identifying unknown intervention targets in structural causal models from heterogeneous data.
method Two-phase approach: first recovers exogenous noises, second matches with endogenous variables.
result Proposed method uniquely identifies intervention targets under causal sufficiency assumption.

New approach uses 'forward-looking' counterfactuals for treatment choice.

problem Using traditional 'retrospective' counterfactuals in treatment choice leads to counterintuitive results.
method Introduces 'counterfactual treatment choice' for forward-looking counterfactuals.
result Mismatches between interventional and forward-looking counterfactuals can lead to counterintuitive results.

The paper analyzes binary option markets with exogenous information and price sensitivity.

problem Analyzing binary option markets with exogenous information and price sensitivity.
method Derive and analyze a continuous model of binary option markets with exogenous information, using Filippov surfaces and general assumptions on purchasing rules.
result Price always converges when exogenous information is constant, and price sensitivity affects price lag vs. information.

Enhances random forest performance with exogenous randomness.

problem Improving random forest performance through exogenous randomness.
method Developed non-asymptotic MSE expansions for individual trees and forests, identified two types of randomness, and conducted simulations.
result Exogenous randomness, particularly feature subsampling, reduces both bias and variance of random forests.

Systems with long-range persistence and memory are shown to exhibit different precursory as well as recovery patterns in response to shocks of exogeneous versus endogeneous origins. By endogeneous, we envision either fluctuations resulting from an underlying chaotic dynamics or from a stochastic forcing origin which ma…

2002-06-05abs ↗pdf ↗

Paper simplifies complex causal identifiability problems with exogenous isomorphism.

problem Achieving consistent answers to causal questions in Structural Causal Models.
method Introducing exogenous isomorphism and proposing EI\sim_{\mathrm{EI}}-identifiability.
result Unified and generalized theories for practical applications in counterfactual reasoning.

Paper introduces a novel traffic forecasting model using autoencoders and exogenous variables.

problem Traffic forecasting using aggregated data from vehicles and infrastructure.
method Recurrent Autoencoder with skip connections and exogenous variables for dynamic traffic data.
result Model predicts speed, volume, and traffic direction with exogenous variables like weather and time.

We reverse engineer dynamics of financial contagion to find the scenario of smallest exogenous shock that, should it occur, would lead to a given final systemic loss. This reverse stress test can be used to identify the potential triggers of systemic events, and it removes the arbitrariness in the selection of shock sc…

2017-02-28abs ↗pdf ↗

The study uses Random Matrix Theory to identify structural changes in stock markets during shocks.

problem Understanding structural changes in stock markets during exogenous shocks.
method Random Matrix Theory and complexity gap analysis.
result The complexity gap collapses during shocks, indicating strong synchronization, and widens before shocks, signaling a rich structure.

Proposes a new test for validating multivariate dynamic regression models.

problem Inadequate exogeneity conditions for conventional model specification tests in dynamic systems.
method Develops a generalized Durbin estimator for multiple-equation systems with dynamic dependencies, and constructs Wald tests.
result Bootstrap-based Wald tests improve finite-sample size control and validate the null hypothesis in multifactor models.

Proposes Exogenous Matching for efficient counterfactual estimation.

problem Efficient estimation of counterfactual expressions in general settings.
method Transforms variance minimization into conditional distribution learning.
result Outperforms other importance sampling methods in counterfactual estimation.

EXOC framework uses auxiliary variables for counterfactual fairness in machine learning.

problem Balancing fairness and predictive accuracy in models with sensitive attributes.
method EXOC framework uses auxiliary variables to define an auxiliary node and a control node for counterfactual fairness.
result EXOC framework outperforms state-of-the-art approaches in achieving counterfactual fairness.

Paper proposes a new model to assess risks in energy storage systems considering both exogenous and endogenous uncertainties.

problem Current risk assessment ignores the stochastic nature of energy storage availability.
method Data-driven unified model with exogenous and endogenous uncertainty description for four types of generic energy storage.
result Comparative results show more severe risks for endogenous uncertainty, suggesting new strategies for system operators.

Policy analysts wish to visualize a range of policies for large simulator-defined Markov Decision Processes (MDPs). One visualization approach is to invoke the simulator to generate on-policy trajectories and then visualize those trajectories. When the simulator is expensive, this is not practical, and some method is r…

2017-03-28abs ↗pdf ↗

The study examines pricing American options with both exogenous and endogenous transaction costs.

problem Pricing American options with transaction costs and liquidity risks.
method Modeling liquidity risks as a mean-reverting process and transaction costs as proportional to trading amount. Two nonlinear PDEs are used to characterize option values. Numerical solution via ADI method and model calibration using maximum likelihood estimation.
result The model incorporating liquidity risks significantly outperforms the Leland model.

A method for identifying NPWARX models with arbitrary domains using probabilistic mixture models.

problem Identifying hybrid system models with discontinuous maps.
method Probabilistic mixture model with a neural network for nonlinear partitioning and Expectation Maximization for parameter estimation.
result Demonstrated on a nonlinear piece-wise problem with discontinuous maps.

Researchers use Meyer-σ-fields to model information flow in irreversible investment problems.

problem Modeling information flows in stochastic control problems with jumps.
method Using Meyer-σ-fields as a tool to model information flow.
result Different signals on exogenous jumps lead to different optimal controls.