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Generative models have been successfully used in the field of time series generation. However, when dealing with long-term time series, which span over extended periods and exhibit more complex long-term temporal patterns, the task of…

Machine Learning · Computer Science 2025-09-01 Xuan Hou , Shuhan Liu , Zhaohui Peng , Yaohui Chu , Yue Zhang , Yining Wang

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

Chaotic Dynamics · Physics 2016-03-23 Tyrus Berry , John Harlim

This article presents a new continuous-time modelling framework for multivariate time series of counts which have an infinitely divisible marginal distribution. The model is based on a mixed moving average process driven by L\'{e}vy noise -…

Methodology · Statistics 2016-08-11 Almut E. D. Veraart

This work introduces a novel approach to modeling temporal point processes using diffusion models with an asynchronous noise schedule. At each step of the diffusion process, the noise schedule injects noise of varying scales into different…

Machine Learning · Computer Science 2025-04-30 Amartya Mukherjee , Ruizhi Deng , He Zhao , Yuzhen Mao , Leonid Sigal , Frederick Tung

Trajectory prediction plays a vital role in understanding pedestrian movement for applications such as autonomous driving and robotics. Current trajectory prediction models depend on long, complete, and accurately observed sequences from…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Haichao Zhang , Yi Xu , Hongsheng Lu , Takayuki Shimizu , Yun Fu

With the proliferation of algorithmic high-frequency trading in financial markets, the Limit Order Book has generated increased research interest. Research is still at an early stage and there is much we do not understand about the dynamics…

Trading and Market Microstructure · Quantitative Finance 2019-02-05 Faisal I Qureshi

Long-term human trajectory prediction is a challenging yet critical task in robotics and autonomous systems. Prior work that studied how to predict accurate short-term human trajectories with only unimodal features often failed in long-term…

Robotics · Computer Science 2024-05-31 Zhitian Zhang , Anjian Li , Angelica Lim , Mo Chen

We investigate the behavior of limit order books on the meso-scale motivated by order execution scheduling algorithms. To do so we carry out empirical analysis of the order flows from market and limit order submissions, aggregated from…

Trading and Market Microstructure · Quantitative Finance 2017-08-10 Kyle Bechler , Michael Ludkovski

Human behavior has the nature of indeterminacy, which requires the pedestrian trajectory prediction system to model the multi-modality of future motion states. Unlike existing stochastic trajectory prediction methods which usually use a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-28 Tianpei Gu , Guangyi Chen , Junlong Li , Chunze Lin , Yongming Rao , Jie Zhou , Jiwen Lu

Denoising diffusion probabilistic models (DDPMs) have recently achieved leading performances in many generative tasks. However, the inherited iterative sampling process costs hinder their applications to text-to-speech deployment. Through…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-14 Rongjie Huang , Zhou Zhao , Huadai Liu , Jinglin Liu , Chenye Cui , Yi Ren

Accurate prediction of human or vehicle trajectories with good diversity that captures their stochastic nature is an essential task for many applications. However, many trajectory prediction models produce unreasonable trajectory samples…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Qingze , Liu , Danrui Li , Samuel S. Sohn , Sejong Yoon , Mubbasir Kapadia , Vladimir Pavlovic

With the widespread use of online social media platforms, information diffusion has become a prevalent phenomenon, making Information Diffusion Prediction (IDP) increasingly important for various applications. Despite significant…

Social and Information Networks · Computer Science 2024-11-01 Songbo Yang

Recent learning-based methods for event-based optical flow estimation utilize cost volumes for pixel matching but suffer from redundant computations and limited scalability to higher resolutions for flow refinement. In this work, we take…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Daikun Liu , Lei Cheng , Teng Wang , changyin Sun

Diffusion models achieve great success in generating diverse and high-fidelity images, yet their widespread application, especially in real-time scenarios, is hampered by their inherently slow generation speed. The slow generation stems…

Computer Vision and Pattern Recognition · Computer Science 2024-08-19 Shengkun Tang , Yaqing Wang , Caiwen Ding , Yi Liang , Yao Li , Dongkuan Xu

In layout-to-image (L2I) synthesis, controlled complex scenes are generated from coarse information like bounding boxes. Such a task is exciting to many downstream applications because the input layouts offer strong guidance to the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Ruyu Wang , Xuefeng Hou , Sabrina Schmedding , Marco F. Huber

Diffusion models have emerged as powerful generative models, but their high computation cost in iterative sampling remains a significant bottleneck. In this work, we present an in-depth and insightful study of state-of-the-art acceleration…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Weizhi Gao , Zhichao Hou , Junqi Yin , Feiyi Wang , Linyu Peng , Xiaorui Liu

We extend a Discrete Time Random Walk (DTRW) numerical scheme to simulate the anomalous diffusion of financial market orders in a simulated order book. Here using random walks with Sibuya waiting times to include a time-dependent stochastic…

Computational Finance · Quantitative Finance 2024-08-14 Derick Diana , Tim Gebbie

Besides the classical offline setup of machine learning, stream learning constitutes a well-established setup where data arrives over time in potentially non-stationary environments. Concept drift, the phenomenon that the underlying…

Machine Learning · Computer Science 2024-12-13 Fabian Hinder , Valerie Vaquet , David Komnick , Barbara Hammer

Thanks to the rapid development of diffusion models, unprecedented progress has been witnessed in image synthesis. Prior works mostly rely on pre-trained linguistic models, but a text is often too abstract to properly specify all the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Binbin Yang , Yi Luo , Ziliang Chen , Guangrun Wang , Xiaodan Liang , Liang Lin

Diffusion models have demonstrated strong potential for robotic trajectory planning. However, generating coherent trajectories from high-level instructions remains challenging, especially for long-range composition tasks requiring multiple…

Robotics · Computer Science 2024-03-29 Zhixuan Liang , Yao Mu , Hengbo Ma , Masayoshi Tomizuka , Mingyu Ding , Ping Luo