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相关论文: Do We Need an Encoder-Decoder to Model Dynamical S…

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Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

机器学习 · 计算机科学 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

Neural network controllers have shown potential in achieving superior performance in feedback control systems. Although a neural network can be trained efficiently using deep and reinforcement learning methods, providing formal guarantees…

最优化与控制 · 数学 2024-01-10 Han Wang , Zuxun Xiong , Liqun Zhao , Antonis Papachristodoulou

A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs). We study input-output relations of neural ODEs using dynamical systems theory and prove several results…

动力系统 · 数学 2023-09-29 Christian Kuehn , Sara-Viola Kuntz

Tensor decomposition is an important tool for multiway data analysis. In practice, the data is often sparse yet associated with rich temporal information. Existing methods, however, often under-use the time information and ignore the…

机器学习 · 计算机科学 2023-10-31 Zheng Wang , Shikai Fang , Shibo Li , Shandian Zhe

Embedding of large but redundant data, such as images or text, in a hierarchy of lower-dimensional spaces is one of the key features of representation learning approaches, which nowadays provide state-of-the-art solutions to problems once…

计算机视觉与模式识别 · 计算机科学 2022-06-13 Gianluca Berardi , Luca De Luigi , Samuele Salti , Luigi Di Stefano

Rather than simply recognizing the action of a person individually, collective activity recognition aims to find out what a group of people is acting in a collective scene. Previ- ous state-of-the-art methods using hand-crafted potentials…

计算机视觉与模式识别 · 计算机科学 2017-09-21 Yongyi Tang , Peizhen Zhang , Jian-Fang Hu , Wei-Shi Zheng

The recent proliferation of publicly available graph-structured data has sparked an interest in machine learning algorithms for graph data. Since most traditional machine learning algorithms assume data to be tabular, embedding algorithms…

机器学习 · 计算机科学 2019-08-09 Sourav Mukherjee , Tim Oates , Ryan Wright

We present a data-driven modeling strategy to overcome improperly modeled dynamics for systems exhibiting complex spatio-temporal behaviors. We propose a Deep Learning framework to resolve the differences between the true dynamics of the…

机器学习 · 计算机科学 2020-10-28 Maan Qraitem , Dhanushka Kularatne , Eric Forgoston , M. Ani Hsieh

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

最优化与控制 · 数学 2023-03-23 Daisuke Uchida , Karthik Duraisamy

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…

数值分析 · 数学 2019-09-04 Samuel H. Rudy , J. Nathan Kutz , Steven L. Brunton

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

机器学习 · 计算机科学 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

Graph representation learning (also known as network embedding) has been extensively researched with varying levels of granularity, ranging from nodes to graphs. While most prior work in this area focuses on node-level representation,…

机器学习 · 计算机科学 2023-06-05 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

Many tasks in graph machine learning, such as link prediction and node classification, are typically solved by using representation learning, in which each node or edge in the network is encoded via an embedding. Though there exists a lot…

This paper introduces Dynamic Embeddings with Task-Oriented prompting (DETOT), a novel approach aimed at improving the adaptability and efficiency of machine learning models by implementing a flexible embedding layer. Unlike traditional…

计算与语言 · 计算机科学 2024-06-25 Allmin Balloccu , Jack Zhang

Sensing is one of the most fundamental tasks for the monitoring, forecasting and control of complex, spatio-temporal systems. In many applications, a limited number of sensors are mobile and move with the dynamics, with examples including…

机器学习 · 计算机科学 2023-07-25 Megan R. Ebers , Jan P. Williams , Katherine M. Steele , J. Nathan Kutz

Modern approaches for learning on dynamic graphs have adopted the use of batches instead of applying updates one by one. The use of batches allows these techniques to become helpful in streaming scenarios where updates to graphs are…

机器学习 · 计算机科学 2024-06-07 Or Feldman , Chaim Baskin

The Koopman operator framework provides a perspective that non-linear dynamics can be described through the lens of linear operators acting on function spaces. As the framework naturally yields linear embedding models, there have been…

最优化与控制 · 数学 2024-12-09 Daisuke Uchida , Karthik Duraisamy

Use of generative models and deep learning for physics-based systems is currently dominated by the task of emulation. However, the remarkable flexibility offered by data-driven architectures would suggest to extend this representation to…

机器学习 · 计算机科学 2023-09-12 Guoxiang Grayson Tong , Carlos A. Sing Long , Daniele E. Schiavazzi

Networks are one of the most powerful structures for modeling problems in the real world. Downstream machine learning tasks defined on networks have the potential to solve a variety of problems. With link prediction, for instance, one can…

机器学习 · 计算机科学 2019-11-27 Nino Arsov , Georgina Mirceva

The ability of machine learning models to store input information in hidden layer vector embeddings, analogous to the concept of `memory', is widely employed but not well characterized. We find that language model embeddings typically…

计算与语言 · 计算机科学 2026-05-20 Benjamin L. Badger