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The Total Portfolio Approach and Strategic Asset Allocation are widely viewed as competing frameworks for institutional portfolio management. We argue they differ in a single governance parameter: the tracking error constraint. Using U.S.…

Portfolio Management · Quantitative Finance 2026-03-04 Ashwin Alankar , Allan Maymin , Philip Maymin , Myron Scholes , Sujiang Zhang

We propose a ranking and selection procedure to prioritize relevant predictors and control false discovery proportion (FDP) of variable selection. Our procedure utilizes a new ranking method built upon the de-sparsified Lasso estimator. We…

Methodology · Statistics 2018-12-12 X. Jessie Jeng , Xiongzhi Chen

In this manuscript, a new high-dimensional approach for simultaneous variable and group selection is proposed, called sparse-group SLOPE (SGS). SGS achieves false discovery rate control at both variable and group levels by incorporating the…

Methodology · Statistics 2023-05-17 Fabio Feser , Marina Evangelou

As the volume and complexity of data continue to expand across various scientific disciplines, the need for robust methods to account for the multiplicity of comparisons has grown widespread. A popular measure of type 1 error rate in…

Methodology · Statistics 2024-11-19 Jianliang He , Bowen Gang , Luella Fu

Competition-based approach to controlling the false discovery rate (FDR) recently rose to prominence when, generalizing it to sequential hypothesis testing, Barber and Cand\`es used it as part of their knockoff-filter. Control of the FDR…

Methodology · Statistics 2023-02-24 Arya Ebadi , Dong Luo , Jack Freestone , William Stafford Noble , Uri Keich

In many multiple testing applications in genetics, the signs of test statistics provide useful directional information, such as whether genes are potentially up- or down-regulated between two experimental conditions. However, most existing…

Methodology · Statistics 2025-07-22 Zhaoyang Tian , Kun Liang , Pengfei Li

Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

Statistics Theory · Mathematics 2026-05-13 Patrick Breheny

Controlling false discovery rate (FDR) is crucial for variable selection, multiple testing, among other signal detection problems. In literature, there is certainly no shortage of FDR control strategies when selecting individual features,…

Methodology · Statistics 2022-04-11 Jingyuan Liu , Ao Sun , Yuan Ke

We apply FDR thresholding to a non-Gaussian vector whose coordinates X_i, i=1,..., n, are independent exponential with individual means $\mu_i$. The vector $\mu =(\mu_i)$ is thought to be sparse, with most coordinates 1 but a small fraction…

Statistics Theory · Mathematics 2009-09-29 David Donoho , Jiashun Jin

Accurate and concise governing equations are crucial for understanding system dynamics. Recently, data-driven methods such as sparse regression have been employed to automatically uncover governing equations from data, representing a…

Machine Learning · Computer Science 2025-08-05 Boqian Zhang , Juanmian Lei , Guoyou Sun , Shuaibing Ding , Jian Guo

The False Discovery Rate (FDR) method has recently been described by Miller et al (2001), along with several examples of astrophysical applications. FDR is a new statistical procedure due to Benjamini and Hochberg (1995) for controlling the…

Astrophysics · Physics 2009-11-07 A. M. Hopkins , C. J. Miller , A. J. Connolly , C. Genovese , R. C. Nichol , L. Wasserman

This paper presents a deep reinforcement learning (DRL) framework for dynamic portfolio optimization under market uncertainty and risk. The proposed model integrates a Sharpe ratio-based reward function with direct risk control mechanisms,…

Portfolio Management · Quantitative Finance 2025-11-17 Emmanuel Lwele , Sabuni Emmanuel , Sitali Gabriel Sitali

Continuous improvement in medical imaging techniques allows the acquisition of higher-resolution images. When these are used in a predictive setting, a greater number of explanatory variables are potentially related to the dependent…

Statistics Theory · Mathematics 2019-03-13 Tuan-Binh Nguyen , Jérôme-Alexis Chevalier , Bertrand Thirion

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

The paper considers the problem of identifying the sparse different components between two high dimensional means of column-wise dependent random vectors. We show that the dependence can be utilized to lower the identification boundary for…

Methodology · Statistics 2014-10-13 Jun Li , Ping-Shou Zhong

Sorted L-One Penalized Estimation (SLOPE) has shown the nice theoretical property as well as empirical behavior recently on the false discovery rate (FDR) control of high-dimensional feature selection by adaptively imposing the…

Statistics Theory · Mathematics 2023-02-22 Jingxuan Liang , Hong Chen , Xuelin Zhang , Weifu Li , Xin Tang

Effectively controlling the false discovery rate (FDR) in high-dimensional variable selection is a fundamental statistical problem that has garnered significant research interest. In this paper, we propose a novel, user-friendly, and…

Methodology · Statistics 2026-04-28 Yujia Wu , Panxu Yuan , Binyan Jiang

In the multiple testing problem with independent tests, the classical linear step-up procedure controls the false discovery rate (FDR) at level $\pi_0\alpha$, where $\pi_0$ is the proportion of true null hypotheses and $\alpha$ is the…

Methodology · Statistics 2019-08-29 Peter MacDonald , Kun Liang , Arnold Janssen

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

Methodology · Statistics 2011-11-16 Jianqing Fan , Xu Han , Weijie Gu

This paper explores the multiple testing problem for sparse high-dimensional data with binary outcomes. We propose novel empirical Bayes multiple testing procedures based on a spike-and-slab posterior and then evaluate their performance in…

Statistics Theory · Mathematics 2025-06-16 Yu-Chien Bo Ning
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