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Solving partial differential equations (PDEs) on fine spatio-temporal scales for high-fidelity solutions is critical for numerous scientific breakthroughs. Yet, this process can be prohibitively expensive, owing to the inherent complexities…

数值分析 · 数学 2024-04-09 Yulong Lu , Wuzhe Xu

Deep learning has been extensively employed as a powerful function approximator for modeling physics-based problems described by partial differential equations (PDEs). Despite their popularity, standard deep learning models often demand…

计算工程、金融与科学 · 计算机科学 2025-10-28 Jiachen Guo , Xiaoyu Xie , Chanwook Park , Hantao Zhang , Matthew Politis , Gino Domel , Thomas J. R. Hughes , Wing Kam Liu

Recent advancements in text-to-video (T2V) diffusion models have enabled high-fidelity and realistic video synthesis. However, current T2V models often struggle to generate physically plausible content due to their limited inherent ability…

计算机视觉与模式识别 · 计算机科学 2025-05-30 Xiangdong Zhang , Jiaqi Liao , Shaofeng Zhang , Fanqing Meng , Xiangpeng Wan , Junchi Yan , Yu Cheng

High-fidelity electron microscopy simulations required for quantitative crystal structure refinements face a fundamental challenge: while physical interactions are well-described theoretically, real-world experimental effects are…

Ptychographic imaging confronts inherent challenges in applying deep learning for phase retrieval from diffraction patterns. Conventional neural architectures, both convolutional neural networks and Transformer-based methods, are optimized…

In this paper, we present a method of embedding physics data manifolds with metric structure into lower dimensional spaces with simpler metrics, such as Euclidean and Hyperbolic spaces. We then demonstrate that it can be a powerful step in…

高能物理 - 唯象学 · 物理学 2023-08-02 Sang Eon Park , Philip Harris , Bryan Ostdiek

The high-dimensional nature of the 4-D light field (LF) poses great challenges in achieving efficient and effective feature embedding, that severely impacts the performance of downstream tasks. To tackle this crucial issue, in contrast to…

图像与视频处理 · 电气工程与系统科学 2024-01-12 Xianqiang Lyu , Junhui Hou

Photons offer the potential to carry large amounts of information in their spectral, spatial, and polarisation degrees of freedom. While state-of-the-art classical communication systems routinely aim to maximize this information-carrying…

We introduce PDE-Transformer, an improved transformer-based architecture for surrogate modeling of physics simulations on regular grids. We combine recent architectural improvements of diffusion transformers with adjustments specific for…

机器学习 · 计算机科学 2025-06-02 Benjamin Holzschuh , Qiang Liu , Georg Kohl , Nils Thuerey

Unifying multimodal understanding, generation and reconstruction representation in a single tokenizer remains a key challenge in building unified models. Previous research predominantly attempts to address this in a dual encoder paradigm,…

计算机视觉与模式识别 · 计算机科学 2025-12-01 Sinan Du , Jiahao Guo , Bo Li , Shuhao Cui , Zhengzhuo Xu , Yifu Luo , Yongxian Wei , Kun Gai , Xinggang Wang , Kai Wu , Chun Yuan

Current image tokenization methods require a large number of tokens to capture the information contained within images. Although the amount of information varies across images, most image tokenizers only support fixed-length tokenization,…

计算机视觉与模式识别 · 计算机科学 2025-01-20 Keita Miwa , Kento Sasaki , Hidehisa Arai , Tsubasa Takahashi , Yu Yamaguchi

Dense prediction infers per-pixel values from a single image and is fundamental to 3D perception and robotics. Although real-world scenes exhibit strong structure, existing methods treat it as an independent pixel-wise prediction, often…

计算机视觉与模式识别 · 计算机科学 2026-02-02 Seung Hyun Lee , Sangwoo Mo , Stella X. Yu

Inferring parameters of high-dimensional partial differential equations (PDEs) poses significant computational and inferential challenges, primarily due to the curse of dimensionality and the inherent limitations of traditional numerical…

计算工程、金融与科学 · 计算机科学 2025-09-18 Weihao Yan , Christoph Brune , Mengwu Guo

With the increases in computational power and advances in machine learning, data-driven learning-based methods have gained significant attention in solving PDEs. Physics-informed neural networks (PINNs) have recently emerged and succeeded…

机器学习 · 计算机科学 2023-02-07 Namgyu Kang , Byeonghyeon Lee , Youngjoon Hong , Seok-Bae Yun , Eunbyung Park

Gradient-based algorithms are crucial to modern computer-vision and graphics applications, enabling learning-based optimization and inverse problems. For example, photorealistic differentiable rendering pipelines for color images have been…

计算机视觉与模式识别 · 计算机科学 2021-08-10 Benjamin Planche , Rajat Vikram Singh

Partial differential equations (PDEs) are among the most universal and parsimonious descriptions of natural physical laws, capturing a rich variety of phenomenology and multi-scale physics in a compact and symbolic representation. This…

机器学习 · 计算机科学 2023-03-31 Steven L. Brunton , J. Nathan Kutz

Accurately modeling and forecasting complex systems governed by partial differential equations (PDEs) is crucial in various scientific and engineering domains. However, traditional numerical methods struggle in real-world scenarios due to…

机器学习 · 计算机科学 2025-05-06 Han Wan , Rui Zhang , Qi Wang , Yang Liu , Hao Sun

Learning-based simulators show great potential for simulating particle dynamics when 3D groundtruth is available, but per-particle correspondences are not always accessible. The development of neural rendering presents a new solution to…

计算机视觉与模式识别 · 计算机科学 2024-10-14 Jiaxu Wang , Jingkai Sun , Junhao He , Ziyi Zhang , Qiang Zhang , Mingyuan Sun , Renjing Xu

Capturing and labeling camera images in the real world is an expensive task, whereas synthesizing labeled images in a simulation environment is easy for collecting large-scale image data. However, learning from only synthetic images may not…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Tadanobu Inoue , Subhajit Chaudhury , Giovanni De Magistris , Sakyasingha Dasgupta

The data-driven discovery of partial differential equations (PDEs) consistent with spatiotemporal data is experiencing a rebirth in machine learning research. Training deep neural networks to learn such data-driven partial differential…