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We propose a portfolio allocation method based on risk factor budgeting using convex Nonnegative Matrix Factorization (NMF). Unlike classical factor analysis, PCA, or ICA, NMF ensures positive factor loadings to obtain interpretable…

Portfolio Management · Quantitative Finance 2023-06-13 Bruno Spilak , Wolfgang Karl Härdle

Federated Learning (FL) enables distributed optimization without compromising data sovereignty. Yet, where local label distributions are mutually exclusive, standard weight aggregation fails due to conflicting optimization trajectories.…

Machine Learning · Computer Science 2026-03-18 Andrea Moleri , Christian Internò , Ali Raza , Markus Olhofer , David Klindt , Fabio Stella , Barbara Hammer

This paper develops a unified framework that links firm-level predictive signals, cross-asset spillovers, and the stochastic discount factor (SDF). Signals and spillovers are jointly estimated by maximizing the Sharpe ratio, yielding an…

Computational Finance · Quantitative Finance 2026-02-25 Doron Avramov , Xin He

We consider the non-forward amplitude within the Heavy Quark Effective theory. We show that one can obtain new information on the subleading corrections in 1/m_Q. We illustrate the method by deriving new simple relations between the…

High Energy Physics - Phenomenology · Physics 2011-01-25 F. Jugeau , A. Le Yaouanc , L. Oliver , J. -C. Raynal

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

Large-scale matrix data has been widely discovered and continuously studied in various fields recently. Considering the multi-level factor structure and utilizing the matrix structure, we propose a multilevel matrix factor model with both…

Methodology · Statistics 2023-10-24 Yuteng Zhang , Yongchang Hui , Junrong Song , Shurong Zheng

We developed a semiclassical approximation method in combination with an adaptive moment estimation optimizer (SCA + ADAM) approach based on the PyTorch plus CUDA library on a the graphics processing unit (GPU). This method was employed to…

Strongly Correlated Electrons · Physics 2023-11-09 Hayun Park , Hunpyo Lee

We present an agent based model of a single asset financial market that is capable of replicating several non-trivial statistical properties observed in real financial markets, generically referred to as stylized facts. While previous…

Computational Finance · Quantitative Finance 2017-04-12 Roberto Mota Navarro , Hernán Larralde Ridaura

An old problem in multivariate statistics is that linear Gaussian models are often unidentifiable, i.e. some parameters cannot be uniquely estimated. In factor (component) analysis, an orthogonal rotation of the factors is unidentifiable,…

Machine Learning · Statistics 2023-05-04 Aapo Hyvärinen , Ilyes Khemakhem , Ricardo Monti

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

Econometrics · Economics 2022-12-02 Alexander Mayer , Dominik Wied

Federated Learning (FL) is plagued by two key challenges: high communication overhead and performance collapse on heterogeneous (non-IID) data. Analytic FL (AFL) provides a single-round, data distribution invariant solution, but is limited…

This paper introduces a novel approach to financial risk analysis that does not rely on traditional price and market data, instead using market news to model assets as distributions over a metric space of risk factors. By representing asset…

Computational Finance · Quantitative Finance 2024-11-01 Marcus Gawronsky , Chun-Sung Huang

We propose a joint individualized hurdle-ordinal regression model for paired zero-inflated ordinal outcomes with subject-specific, spatially varying, and time-varying covariate effects, motivated by the Iowa Fluoride Study (IFS). The two…

Methodology · Statistics 2026-05-12 Arkaprava Roy , Jeremy T. Gaskins , Steven Levy , Somnath Datta

Factor analysis provides linear factors that describe relationships between individual variables of a data set. We extend this classical formulation into linear factors that describe relationships between groups of variables, where each…

Machine Learning · Statistics 2014-12-03 Arto Klami , Seppo Virtanen , Eemeli Leppäaho , Samuel Kaski

Interpreting a nonparametric regression model with many predictors is known to be a challenging problem. There has been renewed interest in this topic due to the extensive use of machine learning algorithms and the difficulty in…

Machine Learning · Statistics 2018-09-11 Xiaoyu Liu , Jie Chen , Joel Vaughan , Vijayan Nair , Agus Sudjianto

This paper studies point identification of the distribution of the coefficients in some random coefficients models with exogenous regressors when their support is a proper subset, possibly discrete but countable. We exhibit trade-offs…

Statistics Theory · Mathematics 2021-05-26 Christophe Gaillac , Eric Gautier

We develop an estimation methodology for a factor model for high-dimensional matrix-valued time series, where common stochastic trends and common stationary factors can be present. We study, in particular, the estimation of (row and column)…

Methodology · Statistics 2025-01-06 Rong Chen , Simone Giannerini , Greta Goracci , Lorenzo Trapani

Precise representation of large-scale undirected network is the basis for understanding relations within a massive entity set. The undirected network representation task can be efficiently addressed by a symmetry non-negative latent factor…

Machine Learning · Computer Science 2022-03-09 Weiling Li , Xin Luo

This paper proposes a new one-sided matching market model in which every agent has a cost function that is allowed to take a negative value. Our model aims to capture the situation where some agents can profit by exchanging their obtained…

Computer Science and Game Theory · Computer Science 2023-06-29 Takashi Ishizuka

This paper presents an overview of information-based asset pricing. In this approach, an asset is defined by its cash-flow structure. The market is assumed to have access to "partial" information about future cash flows. Each cash flow is…

Pricing of Securities · Quantitative Finance 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina