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Stochastic Differential Equations (SDEs) serve as a powerful modeling tool in various scientific domains, including systems science, engineering, and ecological science. While the specific form of SDEs is typically known for a given…

统计方法学 · 统计学 2024-02-27 Xin Cai , Jingyu Yang , Zhibao Li , Hongqiao Wang , Miao Huang

Neural Stochastic Differential Equations (Neural SDEs) have emerged as powerful mesh-free generative models for continuous stochastic processes, with critical applications in fields such as finance, physics, and biology. Previous…

机器学习 · 计算机科学 2025-03-28 Jianxin Zhang , Josh Viktorov , Doosan Jung , Emily Pitler

A combination of physics-based simulation and experiments has been critical to achieving ignition in inertial confinement fusion (ICF). Simulation and experiment both produce a mixture of scalar and images outputs, however only a subset of…

等离子体物理 · 物理学 2026-02-05 Michael S. Jones , Justin Kunimune , Daniel Casey , Bogdan Kustowski , Eugene Kur , Kelli Humbird

Differential equations in general and neural ODEs in particular are an essential technique in continuous-time system identification. While many deterministic learning algorithms have been designed based on numerical integration via the…

机器学习 · 计算机科学 2021-10-18 Lenart Treven , Philippe Wenk , Florian Dörfler , Andreas Krause

The Expectation Maximization (EM) algorithm is the default algorithm for inference in latent variable models. As in any other field of machine learning, applications of latent variable models to very large datasets make the use of advanced…

最优化与控制 · 数学 2021-11-11 Aymeric Dieuleveut , Gersende Fort , Eric Moulines , Geneviève Robin

Mechanistic models with differential equations are a key component of scientific applications of machine learning. Inference in such models is usually computationally demanding, because it involves repeatedly solving the differential…

机器学习 · 统计学 2022-07-06 Jonathan Schmidt , Nicholas Krämer , Philipp Hennig

The rapid increase in remote sensing satellites has led to the emergence of distributed space-based observation systems. However, existing distributed remote sensing models often rely on centralized training, resulting in data leakage,…

机器学习 · 计算机科学 2025-04-08 Xiaohe Li , Haohua Wu , Jiahao Li , Zide Fan , Kaixin Zhang , Xinming Li , Yunping Ge , Xinyu Zhao

We present a novel generative modeling method called diffusion normalizing flow based on stochastic differential equations (SDEs). The algorithm consists of two neural SDEs: a forward SDE that gradually adds noise to the data to transform…

机器学习 · 计算机科学 2021-10-15 Qinsheng Zhang , Yongxin Chen

Federated Learning (FL) has emerged as a promising paradigm for preserving client data ownership and control over distributed Internet of Things (IoT) environments. While discriminative models dominate most FL use cases, recent advances in…

机器学习 · 计算机科学 2026-05-11 Usevalad Milasheuski , Piero Baraldi , Enrico Zio , Stefano Savazzi

Ordinary differential equations (ODEs) are central to scientific modelling, but inferring their vector fields from noisy trajectories remains challenging. Current approaches such as symbolic regression, Gaussian process (GP) regression, and…

机器学习 · 计算机科学 2026-02-10 Maximilian Mauel , Johannes R. Hübers , David Berghaus , Patrick Seifner , Ramses J. Sanchez

Forecasting state evolution of network systems, such as the spread of information on social networks, is significant for effective policy interventions and resource management. However, the underlying propagation dynamics constantly shift…

计算工程、金融与科学 · 计算机科学 2025-10-13 Shihe Zhou , Ruikun Li , Huandong Wang , Yong Li

Federated Learning (FL) has achieved significant achievements recently, enabling collaborative model training on distributed data over edge devices. Iterative gradient or model exchanges between devices and the centralized server in the…

分布式、并行与集群计算 · 计算机科学 2023-12-19 Ji Liu , Tianshi Che , Yang Zhou , Ruoming Jin , Huaiyu Dai , Dejing Dou , Patrick Valduriez

Simulating stochastic differential equations (SDEs) in bounded domains, presents significant computational challenges due to particle exit phenomena, which requires accurate modeling of interior stochastic dynamics and boundary…

机器学习 · 统计学 2025-07-23 Minglei Yang , Yanfang Liu , Diego del-Castillo-Negrete , Yanzhao Cao , Guannan Zhang

We introduce Latent Space Distribution Matching (LSDM), a novel framework for semi-supervised generative modeling of conditional distributions. LSDM operates in two stages: (i) learning a low-dimensional latent space from both paired and…

机器学习 · 统计学 2026-03-05 Kwong Yu Chong , Long Feng

Foundation models have made incredible strides in achieving zero-shot or few-shot generalization, leveraging prompt engineering to mimic the problem-solving approach of human intelligence. However, when it comes to some foundation models…

计算机视觉与模式识别 · 计算机科学 2024-08-30 Luyao Tang , Yuxuan Yuan , Chaoqi Chen , Kunze Huang , Xinghao Ding , Yue Huang

Data-driven thermal predictors for 3D-ICs are often trained from scratch for each chip design using many high-fidelity finite-element simulations, leading to high data-generation cost and costly cross-design reuse. We propose Therm-FM, a…

计算工程、金融与科学 · 计算机科学 2026-05-26 Zhen Huang , Haiyang Xin , Wenkai Yang , Yangbo Wei , Zhiping Yu , Yu Zhang , Wei W. Xing , Ting-Jung Lin , Lei He

The increasing frequency and severity of climate related disasters have intensified the need for real time monitoring, early warning, and informed decision-making. Earth Observation (EO), powered by satellite data and Machine Learning (ML),…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Stella Girtsou , Konstantinos Alexis , Giorgos Giannopoulos , Charalambos Kontoes

Probabilistic modeling is one of the foundations of modern machine learning and artificial intelligence. In this paper, we propose a novel type of probabilistic models named latent dependency forest models (LDFMs). A LDFM models the…

人工智能 · 计算机科学 2016-11-22 Shanbo Chu , Yong Jiang , Kewei Tu

Federated learning (FL) offers privacy-preserving decentralized machine learning, optimizing models at edge clients without sharing private data. Simultaneously, foundation models (FMs) have gained traction in the artificial intelligence…

机器学习 · 计算机科学 2023-10-06 Sixing Yu , J. Pablo Muñoz , Ali Jannesari

This study investigates zero-shot forecasting capabilities of Time Series Foundation Models (TSFMs) for macroeconomic indicators. We apply TSFMs to forecasting economic indicators under univariate conditions, bypassing the need for train…

机器学习 · 计算机科学 2025-11-05 Jittarin Jetwiriyanon , Teo Susnjak , Surangika Ranathunga