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.

168,695 papers · 148 categories

Trend · papers per month

4183124165 · Jun 202019922001200920172026
48 results for anticipating integrals

Study compares different integrals for optimal portfolio optimization with insider information.

problem Optimizing portfolios in a financial market with insider information.
method Anticipating stochastic calculus and various integrals (Russo-Vallois forward, Ayed-Kuo, Hitsuda-Skorokhod).
result The Hitsuda-Skorokhod and Ayed-Kuo integrals do not provide a financially meaningful investment strategy.

Study shows Skorokhod insider outperforms forward insider in logarithmic utility maximization.

problem Maximizing logarithmic utility for an insider with different anticipating techniques.
method Comparison of Russo-Vallois forward and Skorokhod integrals.
result Skorokhod insider outperforms forward insider in logarithmic utility maximization.

Derives functional Itô formula for non-anticipative maps of rough paths.

problem Functional Itô formula for non-anticipative maps of càdlàg rough paths.
method Approximation properties of the signature and Marcus transformation.
result Functional Taylor expansion for sufficiently regular non-anticipative maps.

New approach avoids restrictive assumptions for optimal portfolio in default risk scenarios.

problem Optimal portfolio optimization under default risk when traditional techniques are not applicable.
method Alternative approach using forward integration to avoid Jacod density hypothesis.
result Weaker intensity hypothesis is the appropriate condition for optimality in logarithmic utility.

The paper examines how markets can anticipate and react to arbitrage opportunities, revealing biases and risks.

problem The tension between no arbitrage, information efficiency, and risk anticipation in markets.
method Continuous time analysis with model- or event-risk, allowing pre-horizon risk-resolution and Risk-Neutral Equivalent pricing.
result Optimised trading can suppress the anticipation of predictable risk-outcomes, creating an apparent Status Quo Bias.

Various neural network based methods are capable of anticipating human body motions from data for a short period of time. What these methods lack are the interpretability and explainability of the network and its results. We propose to use Dynamic Mode Decomposition with delays to represent and anticipate human body mo…

2019-12-13abs ↗pdf ↗

We present two different approaches to stochastic integration in frictionless model free financial mathematics. The first one is in the spirit of Itô's integral and based on a certain topology which is induced by the outer measure corresponding to the minimal superhedging price. The second one is based on the controlle…

2013-11-24abs ↗pdf ↗

Study optimal portfolios for traders with asymmetric information and delay.

problem Optimizing portfolios for traders with delayed insider information.
method Anticipating stochastic calculus and white noise approach.
result Optimal portfolios maximize expected logarithmic utility under various financial models.

Revisits consumption-investment problem with anticipative noise.

problem Revisits classical consumption-investment problem with anticipative noise.
method Models risky-asset returns through a general α-integral, interpolating between Itô, Stratonovich, and related conventions.
result Derives closed-form optimal policies for logarithmic utility and constant volatilities in a market with n risky assets.

The paper explores anticipative binary information in financial markets using Brownian motion and Poisson processes.

problem Capturing anticipative information in financial markets with Brownian motion and Poisson processes.
method Using Malliavin calculus and filtration enlargement techniques, the paper computes the semimartingale decomposition of the processes.
result The paper provides the exact value of anticipative information in the pure jump case.

Novel framework synthesizes stochastic trajectories with anticipated structural breaks.

problem Synthesizing forward-looking, time-evolving stochastic trajectories with anticipated structural breaks.
method Anticipatory Neural Jump-Diffusion (ANJD) flow, AVNSG for dynamic spectral whitening.
result The framework effectively captures non-commutative moments and high-order stochastic texture.

Anticipatory portfolios use richer models to optimize investments.

problem Optimizing investments with richer models than used for calibration.
method Decision-theoretic definition of anticipation, quadratic geometry, and LQG decomposition.
result Correct anticipation creates value, vacuous anticipation has zero value, and misspecified anticipation is harmful.

Trading algorithms that execute large orders are susceptible to exploitation by order anticipation strategies. This paper studies the influence of order anticipation strategies in a multi-investor model of optimal execution under transient price impact. Existence and uniqueness of a Nash equilibrium is established unde…

2016-09-02abs ↗pdf ↗

Corrects an earlier theorem, establishing new facts about information structures and non-anticipative aggregation.

problem The nature of information structures and their impact on non-anticipative aggregation.
method Local reduction of pricing to the natural price filtration, stability properties, and the establishment of new facts.
result Non-anticipative signals can reveal future information, requiring dependence among signals (masking relation) and not independence.

Honest traders can outperform insiders in a Black-Scholes market with positive probability.

problem Comparing the performance of honest and insider traders in a financial market.
method Using anticipating stochastic calculus and forward integral analysis of the Doléans-Dade exponential process.
result The honest trader can achieve higher logarithmic utility and wealth than the insider with positive probability.

The paper introduces ESE scores for farmers to assess climate change risks.

problem Assessing climate change risks in individual farmers' credit evaluations.
method Integrating ESG variables into joint liability models and using a mean-variance utility function.
result Optimal group sizes and individual-ESE score relationships under various climatic conditions.

The Black-Scholes model anticipates rather well the observed prices for options in the case of a strike price that is not too far from the current price of the underlying asset. Some useful extensions can be obtained by an adequate modification of the coefficients in the Black-Scholes equation. We investigate from a ma…

2013-10-15abs ↗pdf ↗

Universal approximation for stochastic processes using Brownian motion.

problem Approximating stochastic processes with linear functionals.
method Establishing LpL^p-type universal approximation theorems for rough path spaces.
result Linear functionals on the signature of time-extended Brownian motion can approximate any pp-integrable stochastic process.

Machine learning and AI-assisted trading have attracted growing interest for the past few years. Here, we use this approach to test the hypothesis that the inefficiency of the cryptocurrency market can be exploited to generate abnormal profits. We analyse daily data for 1,6811,681 cryptocurrencies for the period between N…

2018-05-22abs ↗pdf ↗

PredictaBoard benchmarks LLM score predictors to assess their ability to anticipate errors.

problem Inconsistent performance of LLMs in common sense reasoning tasks.
method Collaborative benchmarking framework evaluating pairs of LLMs and assessors using rejection rate at different tolerance errors.
result Highlights the need to evaluate predictability alongside performance for safer AI systems.

Study shows financial value of weak information converges in discrete vs continuous markets.

problem Analyzing financial value of weak information in discrete vs continuous markets.
method Defined minimal probability measure and financial value of weak information, then showed convergence.
result Financial value of weak information converges in discrete vs continuous markets.

In this paper, we study a class of Anticipated Backward Stochastic Differential Equations (ABSDE) with jumps. The solution of the ABSDE is a triple (Y,Z,ψ)(Y,Z,ψ) where YY is a semimartingale, and (Z,ψ)(Z,ψ) are the diffusion and jump coefficients. We allow the driver of the ABSDE to have linear growth on the uniform norm of …

2017-05-06abs ↗pdf ↗

Study compares employers with and without anticipating strategic labor force responses.

problem Understanding and optimizing strategic interactions in labor markets.
method Formulation of causal strategic classification, theory, and experiments.
result Performatively optimal hiring policies improve employer and labor outcomes, but can also harm labor force utility.

The paper extends Huber's theorem to higher dimensions with specific geometric constraints.

problem Applying Huber's theorem to higher-dimensional conformal metrics with bounded scalar curvature.
method Analyzing conformal metrics on a punctured ball with Ln2L^\frac{n}{2} bounded scalar curvature.
result The volume density at infinity is precisely one, and the blow-down metric is Rn\mathbb{R}^n.

Metric learning enhances combinatorial coverage metrics' ability to predict classification errors.

problem Dataset dependence of combinatorial coverage metrics in anticipating classification errors.
method Metric learning to improve latent space separation of data classes.
result Metric learning increases SDCCMs' ability to distinguish between correctly and incorrectly classified data.

We study optimal investment in an asset subject to risk of default for investors that rely on different levels of information. The price dynamics can include noises both from a Wiener process and a Poisson random measure with infinite activity. The default events are modelled via a counting process in line with large p…

2013-12-20abs ↗pdf ↗

We develop a Markovian approximation for SVV models to compute hedging strategies.

problem Computing optimal hedging strategies for SVV models with non-Markovian noise.
method Develop a Markovian approximation of the Volterra noise kernel to compute hedging strategies.
result Error estimates for the approximation of volatility, prices, and optimal hedge.

Model financial dynamics using 2-manifold geometries, revealing the torus as best for cyclical data.

problem Financial forecasting using complex market data.
method Embedding market data onto 2-manifolds (S2, R2, H2, T) guided by uniformization theorem, inferring latent curvature.
result The torus geometry best predicts cyclical financial data, aligning with IS-LM theory.

Study improves U.S. monetary policy forecasting by integrating text and data.

problem Forecasting central bank policy decisions, especially the Fed's rate changes.
method Multi-modal approach combining structured data and unstructured text from Fed communications.
result Hybrid models outperform unimodal baselines, achieving a test AUC of 0.83.

FNSPID dataset integrates financial news and stock prices for improved market predictions.

problem Lack of comprehensive datasets combining quantitative and qualitative financial data.
method Developed a large-scale dataset (FNSPID) with 29.7M stock prices and 15.7M financial news records.
result FNSPID significantly boosts market prediction accuracy and sentiment analysis.

We live in a computerized and networked society where many of our actions leave a digital trace and affect other people's actions. This has lead to the emergence of a new data-driven research field: mathematical methods of computer science, statistical physics and sociometry provide insights on a wide range of discipli…

2011-10-21abs ↗pdf ↗

The paper introduces a knowledge score for GPR predictions to assess their reliability.

problem Uncertainty in probabilistic predictions from Gaussian process regression models.
method A knowledge score quantifying the reduction of uncertainty in GPR predictions.
result The knowledge score improves prediction accuracy in various tasks.

New MKABSDEs help calculate initial margins in financial contracts.

problem Calculating initial margins in financial contracts with dependencies.
method Introduced MKABSDEs, provided existence and uniqueness, applied to CVaR, used deterministic and Monte-Carlo methods for numerical approximations.
result MKABSDEs provide a new way to solve for initial margins in financial contracts.

Machine learning predicts criminal networks' missing partnerships and future behavior.

problem Predicting and understanding criminal networks' properties and future behavior.
method Combining graph representation learning and machine learning methods.
result Outstanding accuracy in predicting missing criminal partnerships and future behavior.