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This study presents an unsupervised machine learning approach for optimizing Profit and Loss (PnL) in quantitative finance. Our algorithm, akin to an unsupervised variant of linear regression, maximizes the Sharpe Ratio of PnL generated…

统计金融 · 定量金融 2024-01-12 Pierre Renucci

We consider the problem of optimizing the sum of a smooth convex function and a non-smooth convex function using proximal-gradient methods, where an error is present in the calculation of the gradient of the smooth term or in the proximity…

机器学习 · 计算机科学 2011-12-02 Mark Schmidt , Nicolas Le Roux , Francis Bach

The paper examines the performance of regression models (OLS linear regression, Ridge regression, Random Forest, and Fully-connected Neural Network) on the prediction of CMA (Conservative Minus Aggressive) factor premium and the performance…

投资组合管理 · 定量金融 2024-07-23 Prabhu Prasad Panda , Maysam Khodayari Gharanchaei , Xilin Chen , Haoshu Lyu

In semidefinite programming a proposed optimal solution may be quite poor in spite of having sufficiently small residual in the optimality conditions. This issue may be framed in terms of the discrepancy between forward error (the…

最优化与控制 · 数学 2019-08-14 Stefan Sremac , Hugo J. Woerdeman , Henry Wolkowicz

We investigate multi-stage demand uncertainty for the multi-item multi-echelon capacitated lot sizing problem with setup carry-over. Considering a multi-stage decision framework helps to quantify the benefits of being able to adapt…

最优化与控制 · 数学 2025-03-28 Manuel Schlenkrich , Jean-François Cordeau , Sophie N. Parragh

Economic complexity methods, and in particular relatedness measures, lack a systematic evaluation and comparison framework. We argue that out-of-sample forecast exercises should play this role, and we compare various machine learning models…

机器学习 · 计算机科学 2021-06-01 Giambattista Albora , Luciano Pietronero , Andrea Tacchella , Andrea Zaccaria

In credit markets, screening algorithms aim to discriminate between good-type and bad-type borrowers. However, when doing so, they can also discriminate between individuals sharing a protected attribute (e.g. gender, age, racial origin) and…

机器学习 · 统计学 2024-02-09 Christophe Hurlin , Christophe Pérignon , Sébastien Saurin

Simple exponential smoothing is widely used in forecasting economic time series. This is because it is quick to compute and it generally delivers accurate forecasts. On the other hand, its multivariate version has received little attention…

统计计算 · 统计学 2021-03-17 Federico Poloni , Giacomo Sbrana

We develop a novel primal-dual algorithm to solve a class of nonsmooth and nonlinear compositional convex minimization problems, which covers many existing and brand-new models as special cases. Our approach relies on a combination of a new…

最优化与控制 · 数学 2021-04-20 Yuzixuan Zhu , Deyi Liu , Quoc Tran-Dinh

This note extends a recently proposed algorithm for model identification and robust MPC of asymptotically stable, linear time-invariant systems subject to process and measurement disturbances. Independent output predictors for different…

系统与控制 · 电气工程与系统科学 2021-03-02 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

We propose a stochastic approximation method for approximating the efficient frontier of chance-constrained nonlinear programs. Our approach is based on a bi-objective viewpoint of chance-constrained programs that seeks solutions on the…

最优化与控制 · 数学 2020-05-29 Rohit Kannan , James Luedtke

This paper discusses a general framework for smoothing parameter estimation for models with regular likelihoods constructed in terms of unknown smooth functions of covariates. Gaussian random effects and parametric terms may also be…

统计方法学 · 统计学 2016-05-10 Simon N. Wood , Natalya Pya , Benjamin Säfken

The Forward-Forward (FF) learning algorithm provides a bottom-up alternative to backpropagation (BP) for training neural networks, relying on a layer-wise "goodness" function with well-designed negative samples for contrastive learning.…

机器学习 · 计算机科学 2025-11-11 Zhichao Zhu , Yang Qi , Hengyuan Ma , Wenlian Lu , Jianfeng Feng

This paper describes a new approach, based on linear programming, for computing nonnegative matrix factorizations (NMFs). The key idea is a data-driven model for the factorization where the most salient features in the data are used to…

最优化与控制 · 数学 2013-02-05 Victor Bittorf , Benjamin Recht , Christopher Re , Joel A. Tropp

This paper presents a fast and robust algorithm for trend filtering, a recently developed nonparametric regression tool. It has been shown that, for estimating functions whose derivatives are of bounded variation, trend filtering achieves…

机器学习 · 统计学 2015-09-01 Aaditya Ramdas , Ryan J. Tibshirani

This paper introduces and examines numerical approximation schemes for computing risk budgeting portfolios associated to positive homogeneous and sub-additive risk measures. We employ Mirror Descent algorithms to determine the optimal risk…

投资组合管理 · 定量金融 2024-11-20 Martin Arnaiz Iglesias , Adil Rengim Cetingoz , Noufel Frikha

In this paper, we address stochastic optimization problems involving a composition of a non-smooth outer function and a smooth inner function, a formulation frequently encountered in machine learning and operations research. To deal with…

最优化与控制 · 数学 2026-05-15 Tommaso Giovannelli , Jingfu Tan , Luis Nunes Vicente

Forward regression is a crucial methodology for automatically identifying important predictors from a large pool of potential covariates. In contexts with moderate predictor correlation, forward selection techniques can achieve screening…

统计方法学 · 统计学 2024-08-23 Xuejun Jiang , Yue Ma , Haofeng Wang

There is a large body of work on convergence rates either in passive or active learning. Here we first outline some of the main results that have been obtained, more specifically in a nonparametric setting under assumptions about the…

机器学习 · 计算机科学 2020-07-14 Boris Ndjia Njike , Xavier Siebert

The increasing usage of machine learning models in consequential decision-making processes has spurred research into the fairness of these systems. While significant work has been done to study group fairness in the in-processing and…

机器学习 · 统计学 2024-03-13 Xianli Zeng , Joshua Ward , Guang Cheng