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We study theoretical guarantees for solving linear systems in-context using a linear transformer architecture. For in-domain generalization, we provide neural scaling laws that bound the generalization error in terms of the number of tasks…

机器学习 · 计算机科学 2025-05-27 Frank Cole , Yulong Lu , Wuzhe Xu , Tianhao Zhang

Efficient training strategies for large-scale diffusion models have recently emphasized the importance of improving discriminative feature representations in these models. A central line of work in this direction is representation alignment…

计算机视觉与模式识别 · 计算机科学 2025-09-29 Junno Yun , Yaşar Utku Alçalar , Mehmet Akçakaya

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

Inferring the structure of directed acyclic graphs (DAGs) from data is a central challenge in causal discovery, particularly in modern high-dimensional settings where large-scale interventional data are increasingly available. While…

Machine learning is becoming increasingly important for nonlinear system identification, including dynamical systems with spatially distributed outputs. However, classical identification and forecasting approaches become markedly less…

系统与控制 · 电气工程与系统科学 2026-04-21 Achraf El Messaoudi , Noureddine Khaous , Karim Cherifi

We address the problem of signal denoising and pattern recognition in processing batch-mode time-series data by combining linear time-invariant filters, orthogonal multiresolution representations, and sparsity-based methods. We propose a…

信号处理 · 电气工程与系统科学 2019-06-28 G. V. Prateek , Yo-El Ju , Arye Nehorai

We develop a framework for learning sparse nonparametric directed acyclic graphs (DAGs) from data. Our approach is based on a recent algebraic characterization of DAGs that led to a fully continuous program for score-based learning of DAG…

机器学习 · 统计学 2020-03-25 Xun Zheng , Chen Dan , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

Tensor decomposition is a fundamental framework to analyze data that can be represented by multi-dimensional arrays. In practice, tensor data is often accompanied by temporal information, namely the time points when the entry values were…

机器学习 · 计算机科学 2022-07-07 Zheng Wang , Shandian Zhe

Face Presentation Attack Detection (PAD) plays a pivotal role in securing face recognition systems against spoofing attacks. Although great progress has been made in designing face PAD methods, developing a model that can generalize well to…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Usman Muhammad , Jorma Laaksonen , Djamila Romaissa Beddiar , Mourad Oussalah

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

统计方法学 · 统计学 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Unsupervised fault detection in multivariate time series plays a vital role in ensuring the stable operation of complex systems. Traditional methods often assume that normal data follow a single Gaussian distribution and identify anomalies…

机器学习 · 计算机科学 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

We introduce a tensor-based model of shared representation for meta-learning from a diverse set of tasks. Prior works on learning linear representations for meta-learning assume that there is a common shared representation across different…

机器学习 · 计算机科学 2022-01-20 Samuel Deng , Yilin Guo , Daniel Hsu , Debmalya Mandal

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

机器学习 · 统计学 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

We develop a semi-parametric state-space model for time-series data with latent regime transitions. Classical Markov-switching models use fixed parametric transition functions, such as logistic or probit links, which restrict flexibility…

机器学习 · 统计学 2026-04-08 Prakul Sunil Hiremath

Most machine learning methods assume fixed probability distributions, limiting their applicability in nonstationary real-world scenarios. While continual learning methods address this issue, current approaches often rely on black-box models…

机器学习 · 计算机科学 2026-03-17 Yan V. G. Ferreira , Igor B. Lima , Pedro H. G. Mapa S. , Felipe V. Campos , Antonio P. Braga

Domain invariant learning aims to learn models that extract invariant features over various training domains, resulting in better generalization to unseen target domains. Recently, Bayesian Neural Networks have achieved promising results in…

机器学习 · 计算机科学 2023-10-26 Shiyu Shen , Bin Pan , Tianyang Shi , Tao Li , Zhenwei Shi

This paper reports on the application to field measurements of time series methods developed on the basis of the theory of deterministic chaos. The major difficulties are pointed out that arise when the data cannot be assumed to be purely…

chao-dyn · 物理学 2015-06-24 Thomas Schreiber

Domain generalization methods aim to learn models robust to domain shift with data from a limited number of source domains and without access to target domain samples during training. Popular domain alignment methods for domain…

机器学习 · 计算机科学 2022-06-17 Wenyu Zhang , Mohamed Ragab , Chuan-Sheng Foo

Despite recent progress in time-series foundation models, challenges persist in improving representation learning and adapting to diverse downstream tasks. We introduce a General Time-series Model (GTM), which advances representation…

机器学习 · 计算机科学 2026-03-13 Cheng He , Xu Huang , Gangwei Jiang , Zhaoyi Li , Defu Lian , Hong Xie , Enhong Chen , Xijie Liang , Zengrong Zheng , Patrick P. C. Lee

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

机器学习 · 计算机科学 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid