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We introduce a unified framework, formulated as general latent space models, to study complex higher-order network interactions among multiple entities. Our framework covers several popular models in recent network analysis literature,…

Machine Learning · Computer Science 2021-07-01 Zhongyuan Lyu , Dong Xia , Yuan Zhang

Model reduction is essential for real-time simulation of deformable objects. Linear techniques such as PCA provide structured and predictable behavior, but their limited expressiveness restricts accuracy under large or nonlinear…

Graphics · Computer Science 2026-01-28 Shixun Huang , Eitan Grinspun , Yue Chang

Laplace approximations are classic, computationally lightweight means for constructing Bayesian neural networks (BNNs). As in other approximate BNNs, one cannot necessarily expect the induced predictive uncertainty to be calibrated. Here we…

Machine Learning · Computer Science 2021-06-08 Agustinus Kristiadi , Matthias Hein , Philipp Hennig

Surrogate modeling for complex physical systems typically faces a trade-off between data-fitting accuracy and physical consistency. Physics-consistent approaches typically treat physical laws as soft constraints within the loss function, a…

Machine Learning · Computer Science 2026-01-30 José Afonso , Pedro Viegas , Rodrigo Ventura , Vasco Guerra

Probabilistic Manifold Decomposition (PMD)\cite{doi:10.1137/25M1738863}, developed in our earlier work, provides a nonlinear model reduction by embedding high-dimensional dynamics onto low-dimensional probabilistic manifolds. The PMD has…

Numerical Analysis · Mathematics 2026-01-13 Jiaming Guo , Dunhui Xiao

Machine learning approaches to spatiotemporal physical systems have primarily focused on next-frame prediction, with the goal of learning an accurate emulator for the system's evolution in time. However, these emulators are computationally…

Machine Learning · Computer Science 2026-03-16 Helen Qu , Rudy Morel , Michael McCabe , Alberto Bietti , François Lanusse , Shirley Ho , Yann LeCun

Safety alignment is a key requirement for building reliable Artificial General Intelligence. Despite significant advances in safety alignment, we observe that minor latent shifts can still trigger unsafe responses in aligned models. We…

Machine Learning · Computer Science 2025-06-23 Tianle Gu , Kexin Huang , Zongqi Wang , Yixu Wang , Jie Li , Yuanqi Yao , Yang Yao , Yujiu Yang , Yan Teng , Yingchun Wang

Uncertainty estimation is an essential step in the evaluation of the robustness for deep learning models in computer vision, especially when applied in risk-sensitive areas. However, most state-of-the-art deep learning models either fail to…

Computer Vision and Pattern Recognition · Computer Science 2022-01-12 Lu Mi , Hao Wang , Yonglong Tian , Hao He , Nir Shavit

Multimodal semantic understanding often has to deal with uncertainty, which means the obtained messages tend to refer to multiple targets. Such uncertainty is problematic for our interpretation, including inter- and intra-modal uncertainty.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Yatai Ji , Junjie Wang , Yuan Gong , Lin Zhang , Yanru Zhu , Hongfa Wang , Jiaxing Zhang , Tetsuya Sakai , Yujiu Yang

Point cloud video representation learning is challenging due to complex structures and unordered spatial arrangement. Traditional methods struggle with frame-to-frame correlations and point-wise correspondence tracking. Recently, partial…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Zhuoxu Huang , Zhenkun Fan , Tao Xu , Jungong Han

Parametric and non-parametric classifiers often have to deal with real-world data, where corruptions like noise, occlusions, and blur are unavoidable - posing significant challenges. We present a probabilistic approach to classify strongly…

Machine Learning · Computer Science 2023-04-24 Philipp Joppich , Sebastian Dorn , Oliver De Candido , Wolfgang Utschick , Jakob Knollmüller

Latent-based image generative models, such as Latent Diffusion Models (LDMs) and Mask Image Models (MIMs), have achieved notable success in image generation tasks. These models typically leverage reconstructive autoencoders like VQGAN or…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Yongxin Zhu , Bocheng Li , Hang Zhang , Xin Li , Linli Xu , Lidong Bing

We develop a machine learning method for mapping data originating from both Standard Model processes and various theories beyond the Standard Model into a unified representation (latent) space while conserving information about the…

High Energy Physics - Phenomenology · Physics 2025-01-23 Anna Hallin , Gregor Kasieczka , Sabine Kraml , André Lessa , Louis Moureaux , Tore von Schwartz , David Shih

Contrastive approaches to representation learning have recently shown great promise. In contrast to generative approaches, these contrastive models learn a deterministic encoder with no notion of uncertainty or confidence. In this paper, we…

Machine Learning · Computer Science 2020-10-06 Mike Wu , Noah Goodman

Robust physics (e.g., governing equations and laws) discovery is of great interest for many engineering fields and explainable machine learning. A critical challenge compared with general training is that the term and format of governing…

Numerical Analysis · Mathematics 2021-02-15 Zhiming Zhang , Yongming Liu

As one of the most popular generative models, Variational Autoencoder (VAE) approximates the posterior of latent variables based on amortized variational inference. However, when the decoder network is sufficiently expressive, VAE may lead…

Machine Learning · Computer Science 2021-10-26 Dazhong Shen , Chuan Qin , Chao Wang , Hengshu Zhu , Enhong Chen , Hui Xiong

Latent variable models are a fundamental modeling tool in machine learning applications, but they present significant computational and analytical challenges. The popular EM algorithm and its variants, is a much used algorithmic tool; yet…

Machine Learning · Computer Science 2015-12-08 Xinyang Yi , Constantine Caramanis

This paper presents an anomaly detection model that combines the strong statistical foundation of density-estimation-based anomaly detection methods with the representation-learning ability of deep-learning models. The method combines an…

Machine Learning · Computer Science 2022-11-17 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

In this paper, we advocate the adoption of metric preservation as a powerful prior for learning latent representations of deformable 3D shapes. Key to our construction is the introduction of a geometric distortion criterion, defined…

Machine Learning · Computer Science 2020-12-14 Luca Cosmo , Antonio Norelli , Oshri Halimi , Ron Kimmel , Emanuele Rodolà

Many reinforcement learning (RL) tasks provide the agent with high-dimensional observations that can be simplified into low-dimensional continuous states. To formalize this process, we introduce the concept of a DeepMDP, a parameterized…

Machine Learning · Computer Science 2019-06-07 Carles Gelada , Saurabh Kumar , Jacob Buckman , Ofir Nachum , Marc G. Bellemare
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