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Various Non-negative Matrix factorization (NMF) based methods add new terms to the cost function to adapt the model to specific tasks, such as clustering, or to preserve some structural properties in the reduced space (e.g., local…

We propose a distributional framework for benchmarking socio-technical risks of foundation models with quantified statistical significance. Our approach hinges on a new statistical relative testing based on first and second order stochastic…

The Fama-French model is widely used in assessing the portfolio's performance compared to market returns. In Fama-French models, all factors are time-series data. The cross-sectional data are slightly different from the time series data. A…

Statistical Finance · Quantitative Finance 2020-06-05 Javad Shaabani , Ali Akbar Jafari

In the field of quantitative finance, volatility models, such as ARCH, GARCH, FIGARCH, SV, EWMA, play the key role in risk and portfolio management. Meanwhile, factor investing is more and more famous since mid of 20 century. CAPM, Fama…

Risk Management · Quantitative Finance 2023-04-25 Ke Zhang

We examine machine learning and factor-based portfolio optimization. We find that factors based on autoencoder neural networks exhibit a weaker relationship with commonly used characteristic-sorted portfolios than popular dimensionality…

Portfolio Management · Quantitative Finance 2021-07-30 Thomas Conlon , John Cotter , Iason Kynigakis

High-dimensional predictive models, those with more measurements than observations, require regularization to be well defined, perform well empirically, and possess theoretical guarantees. The amount of regularization, often determined by…

Methodology · Statistics 2019-07-16 Darren Homrighausen , Daniel J. McDonald

Given the success and almost universal acceptance of the simple linear regression three-factor model, it is interesting to analyze the informational content of the three factors in explaining stock returns when the analysis is allowed to…

Statistical Finance · Quantitative Finance 2020-07-17 Vassilis Polimenis

Financial correlation matrices measure the unsystematic correlations between stocks. Such information is important for risk management. The correlation matrices are known to be ``noise dressed''. We develop a new and alternative method to…

Statistical Mechanics · Physics 2009-11-07 Thomas Guhr , Bernd Kaelber

This study emphasizes how crucial it is to visualize machine learning models, especially for the banking industry, in order to improve interpretability and support predictions in high stakes financial settings. Visual tools enable…

Machine Learning · Computer Science 2025-02-24 Priyam Ganguly , Ramakrishna Garine , Isha Mukherjee

Quantile Factor Models (QFM) represent a new class of factor models for high-dimensional panel data. Unlike Approximate Factor Models (AFM), where only location-shifting factors can be extracted, QFM also allow to recover unobserved factors…

Econometrics · Economics 2020-09-24 Liang Chen , Juan Jose Dolado , Jesus Gonzalo

The importance of considering the volumes to analyze stock prices movements can be considered as a well-accepted practice in the financial area. However, when we look at the scientific production in this field, we still cannot find a…

Statistical Finance · Quantitative Finance 2021-08-31 Tiago Colliri , Fernando F. Ferreira

We apply the knockoff procedure to factor selection in finance. By building fake but realistic factors, this procedure makes it possible to control the fraction of false discovery in a given set of factors. To show its versatility, we apply…

Statistical Finance · Quantitative Finance 2021-07-07 Damien Challet , Christian Bongiorno , Guillaume Pelletier

We study factor models that combine latent factors with firm characteristics and propose a new framework for modeling, estimating, and inferring pricing errors. Following Zhang (2024), our approach decomposes mispricing into two distinct…

Econometrics · Economics 2025-11-06 Jungjun Choi , Ming Yuan

We consider statistical inference in factor analysis for ergodic and non-ergodic diffusion processes from discrete observations. Factor model based on high frequency time series data has been mainly discussed in the field of high…

Statistics Theory · Mathematics 2022-02-04 Shogo Kusano , Masayuki Uchida

The Capital Asset Pricing Model (CAPM) relates a well-diversified stock portfolio to a benchmark portfolio. We insert size effect in CAPM, capturing the observation that small stocks have higher risk and return than large stocks, on…

Mathematical Finance · Quantitative Finance 2026-05-04 Abraham Atsiwo , Andrey Sarantsev

Quantitative trading strategies rely on accurately ranking stocks to identify profitable investments. Effective portfolio management requires models that can reliably order future stock returns. Transformer models are promising for…

Machine Learning · Computer Science 2025-10-17 Jan Kwiatkowski , Jarosław A. Chudziak

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

In this article, we propose a factor-adjusted multiple testing (FAT) procedure based on factor-adjusted p-values in a linear factor model involving some observable and unobservable factors, for the purpose of selecting skilled funds in…

Methodology · Statistics 2019-03-04 Wei Lan , Lilun Du

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

Methodology · Statistics 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

This paper proposes a new procedure to validate the multi-factor pricing theory by testing the presence of alpha in linear factor pricing models with a large number of assets. Because the market's inefficient pricing is likely to occur to a…

Methodology · Statistics 2023-05-23 Qiang Xia , Xianyang Zhang