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Many traditional signal recovery approaches can behave well basing on the penalized likelihood. However, they have to meet with the difficulty in the selection of hyperparameters or tuning parameters in the penalties. In this article, we…

Machine Learning · Statistics 2022-11-17 Bin Wang , Xiaofei Wang , Jianhua Guo

SAGA is a fast incremental gradient method on the finite sum problem and its effectiveness has been tested on a vast of applications. In this paper, we analyze SAGA on a class of non-strongly convex and non-convex statistical problem such…

Machine Learning · Statistics 2017-02-28 Chao Qu , Yan Li , Huan Xu

While Transformer architecture excel at modeling long-range dependencies contributing to its widespread adoption in vision tasks the quadratic complexity of softmax-based attention mechanisms imposes a major bottleneck, particularly when…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yuan Cao , Dong Wang

In this work we introduce a new optimisation method called SAGA in the spirit of SAG, SDCA, MISO and SVRG, a set of recently proposed incremental gradient algorithms with fast linear convergence rates. SAGA improves on the theory behind SAG…

Machine Learning · Computer Science 2014-12-17 Aaron Defazio , Francis Bach , Simon Lacoste-Julien

We study the problem of minimizing the average of a very large number of smooth functions, which is of key importance in training supervised learning models. One of the most celebrated methods in this context is the SAGA algorithm. Despite…

Machine Learning · Computer Science 2019-01-28 Xu Qian , Zheng Qu , Peter Richtárik

Generative models for financial time series often create data that look realistic and even reproduce stylized facts such as fat tails or volatility clustering. However, these apparent successes break down under trading backtests: models…

Statistical Finance · Quantitative Finance 2026-01-21 Fan Zhang , Jiabin Luo , Zheng Zhang , Shuanghong Huang , Zhipeng Liu , Yu Chen

We consider learning Ising tree models when the observations from the nodes are corrupted by independent but non-identically distributed noise with unknown statistics. Katiyar et al. (2020) showed that although the exact tree structure…

Machine Learning · Statistics 2021-01-25 Anshoo Tandon , Aldric H. J. Yuan , Vincent Y. F. Tan

We developed a corporative stochastic approximation (CSA) type algorithm for semi-infinite programming (SIP), where the cut generation problem is solved inexactly. First, we provide general error bounds for inexact CSA. Then, we propose two…

Optimization and Control · Mathematics 2018-12-24 Bo Wei , William B. Haskell , Sixiang Zhao

In this work we explore the fundamental structure-adaptiveness of state of the art randomized first order algorithms on regularized empirical risk minimization tasks, where the solution has intrinsic low-dimensional structure (such as…

Optimization and Control · Mathematics 2017-12-13 Junqi Tang , Francis Bach , Mohammad Golbabaee , Mike Davies

Stochastic variance-reduced algorithms such as Stochastic Average Gradient (SAG) and SAGA, and their deterministic counterparts like the Incremental Aggregated Gradient (IAG) method, have been extensively studied in large-scale machine…

Machine Learning · Computer Science 2026-05-22 Feng Zhu , Robert W. Heath , Aritra Mitra

Real-world time series often exhibit a non-stationary nature, degrading the performance of pre-trained forecasting models. Test-Time Adaptation (TTA) addresses this by adjusting models during inference, but existing methods typically update…

Machine Learning · Computer Science 2025-07-01 Heitor R. Medeiros , Hossein Sharifi-Noghabi , Gabriel L. Oliveira , Saghar Irandoust

We develop and analyze a new algorithm for empirical risk minimization, which is the key paradigm for training supervised machine learning models. Our method---SAGD---is based on a probabilistic interpolation of SAGA and gradient descent…

Optimization and Control · Mathematics 2020-04-03 Adel Bibi , Alibek Sailanbayev , Bernard Ghanem , Robert Mansel Gower , Peter Richtárik

The stochastic gradient descent (SGD) method is a widely used approach for solving stochastic optimization problems, but its convergence is typically slow. Existing variance reduction techniques, such as SAGA, improve convergence by…

Optimization and Control · Mathematics 2025-11-21 Fabio Nobile , Matteo Raviola , Nathan Schaeffer

Variance-reduced stochastic gradient methods have gained popularity in recent times. Several variants exist with different strategies for the storing and sampling of gradients and this work concerns the interactions between these two…

Optimization and Control · Mathematics 2022-10-19 Martin Morin , Pontus Giselsson

Variance reduction has been commonly used in stochastic optimization. It relies crucially on the assumption that the data set is finite. However, when the data are imputed with random noise as in data augmentation, the perturbed data set…

Machine Learning · Computer Science 2018-06-11 Shuai Zheng , James T. Kwok

Physics-based models capture broad spatial and temporal dynamics, but often suffer from biases and numerical approximations, while observations capture localized variability but are sparse. Integrating these complementary data modalities is…

Methodology · Statistics 2025-06-23 Atlanta Chakraborty , Julie Bessac

Feature selection is an intractable problem, therefore practical algorithms often trade off the solution accuracy against the computation time. In this paper, we propose a novel multi-stage feature selection framework utilizing multiple…

Machine Learning · Computer Science 2021-11-18 Mohammed Ghaith Altarabichi , Sławomir Nowaczyk , Sepideh Pashami , Peyman Sheikholharam Mashhad

We propose and study a minimalist approach towards synthetic tabular data generation. The model consists of a minimalistic unsupervised SparsePCA encoder (with contingent clustering step or log transformation to handle nonlinearity) and…

Data scarcity and confidentiality in finance often impede model development and robust testing. This paper presents a unified multi-criteria evaluation framework for synthetic financial data and applies it to three representative generative…

Machine Learning · Computer Science 2025-12-29 Christophe D. Hounwanou , Yae Ulrich Gaba , Pierre Ntakirutimana

We present a systematic trading framework that forecasts short-horizon market risk, identifies its underlying drivers, and generates alpha using a hybrid machine learning ensemble built to trade on the resulting signal. The framework…

Computational Finance · Quantitative Finance 2025-10-28 Aryan Ranjan
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