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A number of machine learning tasks entail a high degree of invariance: the data distribution does not change if we act on the data with a certain group of transformations. For instance, labels of images are invariant under translations of…

Machine Learning · Statistics 2021-03-01 Song Mei , Theodor Misiakiewicz , Andrea Montanari

This paper extends previous identification method to the asynchronous sampling scenario, enabling the simultaneous handling of asynchronous, non-uniform, and slow-rate sampling conditions. Moving beyond lumped systems, the proposed…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Yunxiang Ma , Tong Zhou

A challenging problem when studying a dynamical system is to find the interdependencies among its individual components. Several algorithms have been proposed to detect directed dynamical influences between time series. Two of the most used…

Data Analysis, Statistics and Probability · Physics 2015-09-09 Alessandro Montalto , Sebastiano Stramaglia , Luca Faes , Giovanni Tessitore , Roberto Prevete , Daniele Marinazzo

We consider the problem of learning Stochastic Differential Equations of the form $dX_t = f(X_t)dt+\sigma(X_t)dW_t $ from one sample trajectory. This problem is more challenging than learning deterministic dynamical systems because one…

Machine Learning · Statistics 2022-12-28 Matthieu Darcy , Boumediene Hamzi , Giulia Livieri , Houman Owhadi , Peyman Tavallali

Considering smooth mappings from input vectors to continuous targets, our goal is to characterise subspaces of the input domain, which are invariant under such mappings. Thus, we want to characterise manifolds implicitly defined by level…

Machine Learning · Computer Science 2022-04-15 Vitali Nesterov , Fabricio Arend Torres , Monika Nagy-Huber , Maxim Samarin , Volker Roth

Data-driven depth estimation methods struggle with the generalization outside their training scenes due to the immense variability of the real-world scenes. This problem can be partially addressed by utilising synthetically generated…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 Maxim Maximov , Kevin Galim , Laura Leal-Taixé

We propose AIM, a new algorithm for differentially private synthetic data generation. AIM is a workload-adaptive algorithm within the paradigm of algorithms that first selects a set of queries, then privately measures those queries, and…

Databases · Computer Science 2024-06-14 Ryan McKenna , Brett Mullins , Daniel Sheldon , Gerome Miklau

Anomaly detection (AD) is the machine learning task of identifying highly discrepant abnormal samples by solely relying on the consistency of the normal training samples. Under the constraints of a distribution shift, the assumption that…

Machine Learning · Computer Science 2023-12-25 João B. S. Carvalho , Mengtao Zhang , Robin Geyer , Carlos Cotrini , Joachim M. Buhmann

The notion of concept drift refers to the phenomenon that the data generating distribution changes over time; as a consequence machine learning models may become inaccurate and need adjustment. In this paper we consider the problem of…

Machine Learning · Computer Science 2022-05-16 Fabian Hinder , André Artelt , Valerie Vaquet , Barbara Hammer

This work presents the first statistical performance guarantees for group-invariant generative models. Many real data, such as images and molecules, are invariant to certain group symmetries, which can be taken advantage of to learn more…

Machine Learning · Statistics 2025-03-12 Ziyu Chen , Markos A. Katsoulakis , Luc Rey-Bellet , Wei Zhu

From customer feedback to social media, understanding human sentiment in text is central to how machines can interact meaningfully with people. However, despite notable progress, accurately capturing sentiment remains a challenging task,…

Information Retrieval · Computer Science 2026-03-24 Soudeep Ghoshal , Himanshu Buckchash , Sarita Paudel , Rubén Ruiz-Torrubiano

A critical challenge in the data-driven modeling of dynamical systems is producing methods robust to measurement error, particularly when data is limited. Many leading methods either rely on denoising prior to learning or on access to large…

Numerical Analysis · Mathematics 2019-09-04 Samuel H. Rudy , J. Nathan Kutz , Steven L. Brunton

Recent developments in the unsupervised domain adaptation (UDA) enable the unsupervised machine learning (ML) prediction for target data, thus this will accelerate real world applications with ML models such as image recognition tasks in…

Machine Learning · Computer Science 2025-02-18 Hisashi Oshima , Tsuyoshi Ishizone , Tomoyuki Higuchi

Learning-based and data-driven techniques have recently become a subject of primary interest in the field of reconstruction and regularization of inverse problems. Besides the development of novel methods, yielding excellent results in…

Machine Learning · Statistics 2023-12-22 Luca Ratti

In reinforcement learning (RL) for robotic manipulation, the Decision Transformer (DT) has emerged as an effective framework for addressing long-horizon tasks. However, DT's performance depends heavily on the coverage of collected…

Robotics · Computer Science 2026-05-04 Kaiyan Zhao , Borong Zhang , Yiming Wang , Xingyu Liu , Xuetao Li , Yuyang Chen , Xiaoguang Niu

Tree-structured neural networks have proven to be effective in learning semantic representations by exploiting syntactic information. In spite of their success, most existing models suffer from the underfitting problem: they recursively use…

Computation and Language · Computer Science 2017-05-12 Pengfei Liu , Xipeng Qiu , Xuanjing Huang

We propose a neural network based approach for extracting models from dynamic data using ordinary and partial differential equations. In particular, given a time-series or spatio-temporal dataset, we seek to identify an accurate governing…

Machine Learning · Computer Science 2019-08-09 Yifan Sun , Linan Zhang , Hayden Schaeffer

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

Numerical Analysis · Mathematics 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

On the one hand, artificial neural networks (ANNs) are commonly labelled as black-boxes, lacking interpretability; an issue that hinders human understanding of ANNs' behaviors. A need exists to generate a meaningful sequential logic of the…

Machine Learning · Computer Science 2021-11-19 Duy T. Nguyen , Kathryn E. Kasmarik , Hussein A. Abbass

A core problem in machine learning is to learn expressive latent variables for model prediction on complex data that involves multiple sub-components in a flexible and interpretable fashion. Here, we develop an approach that improves…

Machine Learning · Computer Science 2024-02-13 Yi-Lin Tuan , Zih-Yun Chiu , William Yang Wang