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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.

168,695 papers · 148 categories

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8.3%16.7%25.0%33.3% · Jul 199219922001200920172026
48 results for negative drift

Optimizes quickest detection of drift in Brownian motion with false negatives.

problem Quickest detection of drift in Brownian motion with false negatives.
method Formulated as an optimal multiple stopping problem, then equivalent to a recursive optimal stopping problem, solved using free boundary methods.
result Explicit formulae for expected cost and optimal strategy found.

Study on the spectrum of drift Laplacian on Ricci expanders.

problem Analyzing the spectrum of the drift Laplacian on Ricci expanders.
method Investigation of discrete spectrum under proper potential function, asymptotic behavior of potential function, and computation of eigenvalues.
result Discrete spectrum of the drift Laplacian on Ricci expanders with bounded Ricci curvature.

We discuss a simple extension of the Ho and Lee model with generic time-dependent drift in which: 1) we compute bond prices analytically; 2) the yield curve is sensible and the asymptotic yield is positive; and 3) our analytical solution provides a clean and simple way of separating volatility from the drift in the sho…

2015-02-21abs ↗pdf ↗

New approach to portfolio optimization shows entropy regularization is ineffective.

problem Entropy regularization in mean-variance portfolio optimization under drift uncertainty.
method Combining Bayesian filtering and stochastic policy optimization.
result Entropy regularization does not accelerate learning about unknown drift.

Bayesian Markowitz portfolio problem shows entropy regularization is ineffective.

problem Entropy regularization in Bayesian Markowitz portfolio optimization.
method Combines continuous-time Bayesian filtering with stochastic policy optimization.
result Entropy regularization does not accelerate learning of unknown drift.

Financial contracts with options that allow the holder to extend the contract maturity by paying an additional fixed amount found many applications in finance. Closed-form solutions for the price of these options have appeared in the literature for the case when the contract underlying asset follows a geometric Brownia…

2010-10-01abs ↗pdf ↗

This paper refines bounds on random walk speed in Teichmüller space.

problem Understanding the speed of random walks on Teichmüller space.
method Analyzing Jenkins-Strebel directions and Lebesgue geodesics.
result The drift of random walks grows exponentially for typical geodesics and oscillates between linear and exponential for some geodesics.

We consider the problem of utility maximization for investors with power utility functions. Building on the earlier work Larsen et al. (2016), we prove that the value of the problem is a Frechet-differentiable function of the drift of the price process, provided that this drift lies in a suitable Banach space. We then …

2016-08-02abs ↗pdf ↗

In this note we find a formula for the supremum distribution of spectrally positive or negative Lévy processes with a broken linear drift. This gives formulas for ruin probabilities in the case when two insurance companies (or two branches of the same company) divide between them both claims and premia in some specifie…

2018-04-18abs ↗pdf ↗

The paper proves conditions for a manifold to have the Liouville property for the drifted Laplacian.

problem Conditions for a manifold to have the Liouville property for the drifted Laplacian.
method Local gradient estimates for positive solutions to the semilinear equation and structural conditions on F.
result The manifold has the Liouville property for the drifted Laplacian under specific curvature conditions.

Increasingly, Internet of Things (IoT) domains, such as sensor networks, smart cities, and social networks, generate vast amounts of data. Such data are not only unbounded and rapidly evolving. Rather, the content thereof dynamically evolves over time, often in unforeseen ways. These variations are due to so-called con…

2017-10-05abs ↗pdf ↗

Market makers play an important role in providing liquidity to markets by continuously quoting prices at which they are willing to buy and sell, and managing inventory risk. In this paper, we build a multi-agent simulation of a dealer market and demonstrate that it can be used to understand the behavior of a reinforcem…

2019-11-14abs ↗pdf ↗

We consider a Bayesian financial market with one bond and one stock where the aim is to maximize the expected power utility from terminal wealth. The solution of this problem is known, however there are some conjectures in the literature about the long-term behavior of the optimal strategy. In this paper we prove now t…

2017-03-13abs ↗pdf ↗

Detecting concept drift is a well known problem that affects production systems. However, two important issues that are frequently not addressed in the literature are 1) the detection of drift when the labels are not immediately available; and 2) the automatic generation of explanations to identify possible causes for …

2019-08-12abs ↗pdf ↗

Paper uses machine learning to analyze stock market anomalies, predicting drift direction and portfolio performance.

problem Capturing dynamics of Post-Earnings-Announcement Drift (PEAD) using machine learning.
method Uses Extreme Gradient Boosting (XGBoost) with genetic algorithm optimization to analyze PEAD dynamics.
result Demonstrates how PEAD dynamics are influenced by different factors across sectors and quarters.

In the present paper, we investigate the optimal capital injection behaviour of an insurance company if the interest rate is allowed to become negative. The surplus process of the considered insurance entity is assumed to follow a Brownian motion with drift. The changes in the interest rate are described via a Markov-s…

2016-12-20abs ↗pdf ↗

Let (Bt)0tT(B_t)_{0\leq t\leq T} be either a Bernoulli random walk or a Brownian motion with drift, and let Mt:=max{Bs:0st}M_t:=\max\{B_s: 0\leq s\leq t\}, 0tT0\leq t\leq T. This paper solves the general optimal prediction problem \sup_{0\leqτ\leq T}\sE[f(M_T-B_τ)], where the supremum is over all stopping times ττ adapted to the natural…

2009-10-03abs ↗pdf ↗

We investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite state Markov chain, and model the discount rate as a deterministic function of the…

2008-12-29abs ↗pdf ↗

Estimates change point in high-dimensional dynamic graphical models.

problem Detecting change points in high-dimensional graphical models.
method Developed an estimator with Op(ψ2)O_p(ψ^{-2}) rate of convergence, established asymptotic distribution under high-dimensional scaling.
result Asymptotic distribution characterized under vanishing and non-vanishing jump size regimes.

Study confirms complex crypto market dynamics via non-linear potentials.

problem Linear models fail to capture complex financial market dynamics.
method Analyzed high-frequency crypto currency data to confirm non-linear drift and potential functions.
result Markets exhibit either single-well or double-well potentials, indicating varying levels of uncertainty or stress.

In this paper, we study the gradient estimates of Li-Yau-Hamilton type for positive solutions to both drifting heat equation and the simple nonlinear heat equation problem utΔu=aulogu,  u>0 u_t-Δu=au\log u, \ \ u>0 on the compact Riemannian manifold (M,g)(M,g) of dimension nn and with non-negative (Bakry-Emery)-Ricci curvature. Here…

2010-09-03abs ↗pdf ↗

The study improves Monte Carlo simulations for long-term investments using advanced financial models.

problem Improving the accuracy of long-term investment simulations.
method Developed a multivariate process incorporating recent financial models and probabilistic forecasts.
result Increased accuracy in predicting portfolio values over decades.

This review covers learning under concept drift, including detection, understanding, and adaptation.

problem Unforeseeable changes in data distribution over time impact machine learning performance.
method Reviews and analyzes methodologies and techniques for concept drift detection, understanding, and adaptation.
result Establishes a framework for learning under concept drift with three main components.

Paper improves Bayesian inference in federated learning with new algorithm VR-FALD*.

problem Bayesian inference in federated learning with communication bottlenecks and statistical heterogeneity.
method Federated Averaging Langevin Dynamics (FALD) and VR-FALD*.
result VR-FALD* corrects client drift due to statistical heterogeneity, improving convergence.

This research identifies flaws in drift detection methods and creates adversarial data streams to exploit them.

problem The challenge of detecting data distribution changes (drift) in real-time systems.
method Developed adversarial data streams to show weaknesses in existing drift detection schemes.
result Demonstrated that common drift detection methods can be fooled by adversarial data streams.

This paper optimizes predicting support and resistance levels in financial markets.

problem Optimizing prediction of resistance and support levels in financial markets.
method Assuming a constant elasticity of variance process, the paper derives optimal trading boundaries using the aspiration level hypothesis.
result Optimal trading boundaries serve as predictors of resistance and support levels, located relative to the median interval of the hidden aspiration level.

Classifiers operating in a dynamic, real world environment, are vulnerable to adversarial activity, which causes the data distribution to change over time. These changes are traditionally referred to as concept drift, and several approaches have been developed in literature to deal with the problem of drift handling an…

2018-03-24abs ↗pdf ↗

The paper develops a method to learn SDE drift functions from sparse, noisy data.

problem Learning SDE drift functions from sparse and noisy data without strong structural assumptions.
method Data-driven approach using a penalized negative log-likelihood functional over RKHS, with an EM algorithm employing SMC for approximations.
result The method enables accurate estimation of SDE drift functions in low-data regimes.

Classifies polynomial growth solutions to drift-harmonic equations on asymptotically paraboloidal manifolds.

problem Classifying polynomial growth solutions to drift-harmonic equations on specific types of manifolds.
method Inductive argument that alternates between constructing and asymptotically controlling drift-harmonic functions.
result All drift-harmonic functions with polynomial growth asymptotically separate variables and dimensions of spaces are computed.

New methods learn from PU data with non-representative positives.

problem Learning from PU data with non-representative positive classes.
method Integrates negative-unlabeled and unlabeled-unlabeled learning, or uses a recursive risk estimator.
result Effective across various real-world datasets and forms of positive bias.

Investigates gradient descent dynamics and introduces new regularisation methods.

problem Understanding and mitigating gradient descent instabilities and interactions with smoothness regularisation.
method Derives continuous-time flows to account for discretisation drift, constructs learning rate schedules and regularisers.
result New regularisation methods improve performance in reinforcement learning.

Detects drifts in data for classification tasks using constrained embeddings.

problem Drifts in data affect model performance; unsupervised methods ignore label information.
method Task-sensitive semi-supervised drift detection with constrained low-dimensional embedding.
result Successfully detects real drifts affecting classification performance.

Estimates change point in high dimensional time series models.

problem Change point estimation in high dimensional time series.
method Plug-in least squares estimator with sufficient conditions for adaptivity.
result Optimal rate of convergence Op(ξ2)O_p(ξ^{-2}) in integer scale.

Concept drift is formally defined as the change in joint distribution of a set of input variables X and a target variable y. The two types of drift that are extensively studied are real drift and virtual drift where the former is the change in posterior probabilities p(y|X) while the latter is the change in distributio…

2019-09-25abs ↗pdf ↗