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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.

168,657 papers · 148 categories

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48 results for Apple stock

Modeling stock price fluctuations using Brownian motion and stochastic differential equations.

problem Capturing the stochastic behavior of stock prices.
method Developed a stochastic differential equation to model stock price fluctuations, incorporating Itô integration.
result Backtesting showed a strong correlation coefficient between the model and actual stock price movements.

This study improves stock price prediction for Apple Inc. using feature selection and regression models with technical indicators.

problem Improving stock price prediction accuracy for Apple Inc. using technical indicators.
method Evaluation of 123 technical indicators and 10 regression models on 13 years of Apple Inc. data.
result Combining feature selection with regression models significantly improves prediction accuracy.

We introduce a model for the short-term dynamics of financial assets based on an application to finance of quantum gauge theory, developing ideas of Ilinski. We present a numerical algorithm for the computation of the probability distribution of prices and compare the results with APPLE stocks prices and the S&P500 ind…

2018-03-21abs ↗pdf ↗

Introduces an asymmetric model for measuring market risk.

problem Existing models are symmetric and do not account for asymmetric risk.
method Develops an asymmetric capital asset pricing model that considers position-dependent market risk.
result Long positions in Apple stock have lower volatility than the market, contrary to the standard model.

This paper studies how social media posts, especially by executives, affect stock prices.

problem Predicting stock market movements using social media data.
method Integrated sentiment analysis of Twitter and Reddit posts with historical stock data using time series models and deep learning.
result Improvements in stock price prediction when social media data, especially executive posts, are included.

Study evaluates stock price forecasting models during the pandemic.

problem Forecasting stock prices during the Covid-19 pandemic.
method Four models (Long-Short Term Memory, XGBoost, Autoregression, Last Value) were tested on stock prices of Facebook, Amazon, Tesla, Google, and Apple.
result Autoregression and Last Value models outperform other models due to strong correlation between prices.

Stock prediction has always been attractive area for researchers and investors since the financial gains can be substantial. However, stock prediction can be a challenging task since stocks are influenced by a multitude of factors whose influence vary rapidly through time. This paper proposes a novel approach (Word2Vec…

2019-02-13abs ↗pdf ↗

Quantum algorithms improve stock price prediction accuracy.

problem Improving stock price prediction accuracy using quantum techniques.
method Extracted stock price indicators, used QA and PCA for feature selection and dimensionality reduction, trained QSVM for binary classification.
result Quantum Support Vector Machine (QSVM) outperformed classical models in stock price prediction accuracy.

Novel TM-vector model predicts stock market direction using Twitter and market data.

problem Challenging stock market forecasting with equal or ignored user effects.
method TM-vector trained with Twitter features and market information, using IndRNN.
result Significant accuracy in predicting stock market direction, especially for Apple.

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 ↗

In high-dimensional data analysis, penalized likelihood estimators are shown to provide superior results in both variable selection and parameter estimation. A new algorithm, APPLE, is proposed for calculating the Approximate Path for Penalized Likelihood Estimators. Both the convex penalty (such as LASSO) and the nonc…

2012-11-02abs ↗pdf ↗

Study apple tasting feedback in online binary classification, providing new insights into minimax expected mistakes.

problem Online binary classification with partial feedback (apple tasting).
method Combinatorial analysis, Littlestone dimension, Effective width.
result Established a trichotomy of minimax expected mistakes in the realizable setting.

We aim to construct a general framework for portfolio management in continuous time, encompassing both stocks and bonds. In these lecture notes we give an overview of the state of the art of optimal bond portfolios and we re-visit main results and mathematical constructions introduced in our previous publications (Ann.…

2005-10-16abs ↗pdf ↗

GPT-4 improves stock price prediction from microblogging sentiments.

problem Improving stock price prediction using sentiment analysis of microblogs.
method Developed a novel method for contextual sentiment analysis using GPT-4, fine-tuning prompts for better accuracy.
result GPT-4 outperformed BERT in predicting stock price movements, achieving a peak accuracy of 71.47%.

A deterministic apple tasting learner is developed, confirming a conjecture and providing tight bounds for mistake bounds.

problem Determining the learnability of hypothesis classes in binary online classification with apple tasting feedback.
method Developed a deterministic apple tasting learner and proved tight bounds for mistake bounds.
result Deterministic apple tasting is feasible and provides tight bounds for mistake bounds.

The Kalman filter and Heston model are used to estimate asset prices and trading performance.

problem Estimating asset prices using stochastic models.
method Kalman filter applied to mean-reverting processes and Heston model with method of moments.
result The Kalman filter and Heston model provide effective methods for estimating asset prices and trading performance.

GRU models with Adam optimizer outperform other combinations in stock market forecasting.

problem Comparing optimization techniques for time series forecasting in LSTM and GRU networks.
method Examined Adam and Nesterov Accelerated Gradient (NAG) on LSTM and GRU models for stock market forecasting.
result GRU models with Adam optimizer produced the lowest RMSE and outperformed other combinations.

Study finds no significant impact of US sovereign credit rating downgrade on equity market.

problem Impact of US sovereign credit rating downgrade on US equity market.
method Event study methodology using three companies and S&P500 index.
result No significant effects of US sovereign credit rating downgrade on US equity market.

Mamba outperforms Reformer in minute-level stock prediction using LLM sentiment scores.

problem Improving minute-level stock market prediction accuracy in volatile markets.
method Combining sentiment scores from top LLMs with stock price data, training Mamba and Reformer models.
result Mamba achieved lower error rates across all tested LLMs, especially with LLaMA 3.3--70B.

We consider the problem of maximizing expected power utility from consumption over an infinite horizon in the Black-Scholes model with proportional transaction costs, as studied in Shreve and Soner [Ann. Appl. Probab. 4 (1994) 609-692]. Similar to Kallsen and Muhle-Karbe [Ann. Appl. Probab. 20 (2010) 1341-1358], we der…

2011-12-19abs ↗pdf ↗

Sentiment analysis from LLMs improves financial trading performance.

problem Improving dynamic strategy optimization in financial markets.
method Integration of sentiment analysis from LLMs into RL frameworks.
result Sentiment-enhanced RL models outperform traditional RL models in net worth and cumulative profit.

The present paper deals with the characterization of no-arbitrage properties of a continuous semimartingale. The first main result, Theorem \refMainTheoremCharNA, extends the no-arbitrage criterion by Levental and Skorohod [Ann. Appl. Probab. 5 (1995) 906-925] from diffusion processes to arbitrary continuous semimartin…

2005-03-23abs ↗pdf ↗

Study rough volatility models using path-dependent PDEs and fractional Brownian motions.

problem Modeling and analyzing rough volatility in financial markets.
method Showed conditional expectations are unique classical solutions to path-dependent PDEs derived from functional Itô formula. Leverage these to study weak rates of convergence for discretized stochastic integrals.
result Obtained optimal weak error rates for approximating log-stock prices in rough volatility models.

The paper shows how overreactions in stock prices can be predicted and used for trading.

problem Predicting and monetizing overreactions in stock prices as momentum signals.
method High-frequency data from Twitter, machine learning models (XGBoost, Random Forests, Deep Neural Networks, Bidirectional LSTMs), and SHAP for explainability.
result Machine learning models significantly outperform traditional overreaction rules at ultra short horizons.

We show that the shortfall risk of binomial approximations of game (Israeli) options converges to the shortfall risk in the corresponding Black--Scholes market considering Lipschitz continuous path-dependent payoffs for both discrete- and continuous-time cases. These results are new also for usual American style option…

2008-11-12abs ↗pdf ↗

Modeling financial returns as conditionally independent random variables explains power-law tails.

problem Understanding the distribution of financial returns and their relation to volatility.
method Assuming returns are conditionally independent given volatility, which varies randomly over time.
result Returns distribution can be described by the sum of conditionally independent random variables, showing scaling and power-law tails.

We prove a conjecture formulated by Pablo M. Chacon and Guillermo A. Lobos in [Pseudo-parallel Lagrangian submanifolds in complex space forms, Differential Geom. Appl.] stating that every Lagrangian pseudo-parallel submanifold of a complex space form of dimension at least 3 is semi-parallel.

2008-11-21abs ↗pdf ↗

R. Cont and A. de Larrard (SIAM J. Finan. Math, 2013) introduced a tractable stochastic model for the dynamics of a limit order book, computing various quantities of interest such as the probability of a price increase or the diffusion limit of the price process. As suggested by empirical observations, we extend their …

2016-01-07abs ↗pdf ↗

We present an axiomatic/synthetic account of the Huygens Principle of wave fronts. The primitive notions are "touching", and (a weak notion of ) metric. The paper simplifies some of the exposition of the author's "Metric spaces and SDG", Theory and Appl. of Categories 32 (2017), 803-822

2018-04-16abs ↗pdf ↗

The paper analyzes robustness and sensitivity of rough Volterra stochastic volatility models.

problem Analyzing the robustness and sensitivity of stochastic volatility models.
method Statistical tests and empirical analysis on Apple Inc. equity options.
result Comparison of different models' robustness and sensitivity to option data structure.

The paper tackles auction market design flaws by randomizing closing times and optimizing transaction fees.

problem Strategic traders exploit accumulated information to delay their orders, distorting auction efficiency.
method Randomizing auction closing times and designing optimal transaction fees policies.
result Policies encourage strategic traders to send orders earlier, improving auction market efficiency.

We confirm the square-root law of market impact on Apple Inc. using a large dataset.

problem Testing the square-root law of market impact on a single U.S. large-cap equity.
method Using a full market-by-order feed, we reconstruct metaorders and calibrate impact using the square-root formula.
result The square-root law is confirmed with a prefactor of 0.34, consistent with worldwide data.

We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587, arXiv:1502.00668] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185-198, arXiv:1401.7366], when Riemannian manifold XX of dim…

2016-06-13abs ↗pdf ↗