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We propose heavy ball neural ordinary differential equations (HBNODEs), leveraging the continuous limit of the classical momentum accelerated gradient descent, to improve neural ODEs (NODEs) training and inference. HBNODEs have two…

Machine Learning · Computer Science 2021-10-12 Hedi Xia , Vai Suliafu , Hangjie Ji , Tan M. Nguyen , Andrea L. Bertozzi , Stanley J. Osher , Bao Wang

In the rapidly advancing field of image generation, Visual Auto-Regressive (VAR) modeling has garnered considerable attention for its innovative next-scale prediction approach. This paradigm offers substantial improvements in efficiency,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Zigeng Chen , Xinyin Ma , Gongfan Fang , Xinchao Wang

Scene Coordinate Regression (SCR) is a visual localization technique that utilizes deep neural networks (DNN) to directly regress 2D-3D correspondences for camera pose estimation. However, current SCR methods often face challenges in…

Robotics · Computer Science 2025-08-26 Kuan Xu , Zeyu Jiang , Haozhi Cao , Shenghai Yuan , Chen Wang , Lihua Xie

We present a method for dynamic surface reconstruction of large-scale urban scenes from LiDAR. Depth-based reconstructions tend to focus on small-scale objects or large-scale SLAM reconstructions that treat moving objects as outliers. We…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Nathaniel Chodosh , Anish Madan , Simon Lucey , Deva Ramanan

Test-Time Scaling enhances the reasoning capabilities of Large Language Models by allocating additional inference compute to broaden the exploration of the solution space. However, existing search strategies typically treat rollouts as…

Computation and Language · Computer Science 2026-05-06 Xinglin Wang , Jiayi Shi , Shaoxiong Feng , Peiwen Yuan , Yiwei Li , Yueqi Zhang , Chuyi Tan , Ji Zhang , Boyuan Pan , Yao Hu , Kan Li

Modeling complex systems using standard neural ordinary differential equations (NODEs) often faces some essential challenges, including high computational costs and susceptibility to local optima. To address these challenges, we propose a…

Machine Learning · Computer Science 2024-05-24 Xin Li , Jingdong Zhang , Qunxi Zhu , Chengli Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

Omnidirectional stereo matching (OSM) is an essential and reliable means for $360^{\circ}$ depth sensing. However, following earlier works on conventional stereo matching, prior state-of-the-art (SOTA) methods rely on a 3D encoder-decoder…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Hualie Jiang , Rui Xu , Minglang Tan , Wenjie Jiang

Perception of time from sequentially acquired sensory inputs is rooted in everyday behaviors of individual organisms. Yet, most algorithms for time-series modeling fail to learn dynamics of random event timings directly from visual or audio…

Machine Learning · Computer Science 2021-07-20 Hengguan Huang , Hongfu Liu , Hao Wang , Chang Xiao , Ye Wang

Foundation models have transformed language, vision, and time series data analysis, yet progress on dynamic predictions for physical systems remains limited. Given the complexity of physical constraints, two challenges stand out. $(i)$…

Machine Learning · Computer Science 2026-02-05 Haoran Li , Chenhan Xiao , Lihao Mai , Yang Weng , Erik Blasch

Gradient clipping is an important technique for deep neural networks with exploding gradients, such as recurrent neural networks. Recent studies have shown that the loss functions of these networks do not satisfy the conventional smoothness…

Machine Learning · Computer Science 2023-02-15 Michael Crawshaw , Yajie Bao , Mingrui Liu

Neural ordinary differential equations (NODEs) presented a new paradigm to construct (continuous-time) neural networks. While showing several good characteristics in terms of the number of parameters and the flexibility in constructing…

Machine Learning · Computer Science 2021-06-01 Sheo Yon Jhin , Minju Jo , Taeyong Kong , Jinsung Jeon , Noseong Park

Irregularly measured time series are common in many of the applied settings in which time series modelling is a key statistical tool, including medicine. This provides challenges in model choice, often necessitating imputation or similar…

The cost aggregation strategy shows a crucial role in learning-based stereo matching tasks, where 3D convolutional filters obtain state of the art but require intensive computation resources, while 2D operations need less GPU memory but are…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Hongzhi Du , Yanyan Li , Yanbiao Sun , Jigui Zhu , Federico Tombari

Although ordinary differential equations (ODEs) provide insights for designing network architectures, its relationship with the non-residual convolutional neural networks (CNNs) is still unclear. In this paper, we present a novel ODE model…

Machine Learning · Statistics 2020-08-18 Zonghan Yang , Yang Liu , Chenglong Bao , Zuoqiang Shi

Spectral deferred corrections (SDC) is an iterative approach for constructing higher- order accurate numerical approximations of ordinary differential equations. SDC starts with an initial approximation of the solution defined at a set of…

Computational Engineering, Finance, and Science · Computer Science 2017-06-14 R. W. Grout , H. Kolla , M. L. Minion , J. B. Bell

Accurately learning solution operators for time-dependent partial differential equations (PDEs) from sparse and irregular data remains a challenging task. Recurrent DeepONet extensions inherit the discrete-time limitations of…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Diab W. Abueidda , Mbebo Nonna , Panos Pantidis , Mostafa E. Mobasher

In single image deblurring, the "coarse-to-fine" scheme, i.e. gradually restoring the sharp image on different resolutions in a pyramid, is very successful in both traditional optimization-based methods and recent neural-network-based…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Xin Tao , Hongyun Gao , Yi Wang , Xiaoyong Shen , Jue Wang , Jiaya Jia

Recurrent off-policy deep reinforcement learning models achieve state-of-the-art performance but are often sidelined due to their high computational demands. In response, we introduce RISE (Recurrent Integration via Simplified Encodings), a…

Machine Learning · Computer Science 2025-12-24 Tyler Clark , Christine Evers , Jonathon Hare

Spiking neural networks (SNNs) have gained prominence for their potential in neuromorphic computing and energy-efficient artificial intelligence, yet optimizing them remains a formidable challenge for gradient-based methods due to their…

Neural and Evolutionary Computing · Computer Science 2024-06-05 Runhua Jiang , Guodong Du , Shuyang Yu , Yifei Guo , Sim Kuan Goh , Ho-Kin Tang

Stochastic Gradient (SG) is the defacto iterative technique to solve stochastic optimization (SO) problems with a smooth (non-convex) objective $f$ and a stochastic first-order oracle. SG's attractiveness is due in part to its simplicity of…

Optimization and Control · Mathematics 2024-03-08 David Newton , Raghu Bollapragada , Raghu Pasupathy , Nung Kwan Yip