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Variational Autoencoders for multimodal data hold promise for many tasks in data analysis, such as representation learning, conditional generation, and imputation. Current architectures either share the encoder output, decoder input, or…

Generating realistic time series data is important for many engineering and scientific applications. Existing work tackles this problem using generative adversarial networks (GANs). However, GANs are unstable during training, and they can…

Machine Learning · Computer Science 2024-05-14 Ilan Naiman , N. Benjamin Erichson , Pu Ren , Michael W. Mahoney , Omri Azencot

Learning compact and meaningful latent space representations has been shown to be very useful in generative modeling tasks for visual data. One particular example is applying Vector Quantization (VQ) in variational autoencoders (VQ-VAEs,…

Machine Learning · Computer Science 2024-09-18 Xin Li , Anand Sarwate

Energy-based models for discrete domains, such as graphs, explicitly capture relative likelihoods, naturally enabling composable probabilistic inference tasks like conditional generation or enforcing constraints at test-time. However,…

We explain why directly changing the prior can be a surprisingly ineffective mechanism for incorporating inductive biases into VAEs, and introduce a simple and effective alternative approach: Intermediary Latent Space VAEs(InteL-VAEs).…

Machine Learning · Statistics 2022-02-16 Ning Miao , Emile Mathieu , N. Siddharth , Yee Whye Teh , Tom Rainforth

Tokenizers are a crucial component of latent diffusion models, as they define the latent space in which diffusion models operate. However, existing tokenizers are primarily designed to improve reconstruction fidelity or inherit pretrained…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Zhengrong Yue , Taihang Hu , Mengting Chen , Haiyu Zhang , Zihao Pan , Tao Liu , Zikang Wang , Jinsong Lan , Xiaoyong Zhu , Bo Zheng , Yali Wang

Partial differential equations (PDEs) form a central component of scientific computing. Among recent advances in deep learning, evolutionary neural networks have been developed to successively capture the temporal dynamics of time-dependent…

Machine Learning · Computer Science 2026-02-24 Bongseok Kim , Jiahao Zhang , Guang Lin

Cryo-electron microscopy (cryo-EM) is unique among tools in structural biology in its ability to image large, dynamic protein complexes. Key to this ability is image processing algorithms for heterogeneous cryo-EM reconstruction, including…

Quantitative Methods · Quantitative Biology 2022-11-28 Karsten Kreis , Tim Dockhorn , Zihao Li , Ellen Zhong

Kolmogorov-Arnold Networks (KANs) relocate learnable nonlinearities from nodes to edges, demonstrating remarkable capabilities in scientific machine learning and interpretable modeling. However, current KAN implementations suffer from…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Alastair Poole , Stig McArthur , Saravan Kumar

Multimodal variational autoencoders (VAEs) aim to capture shared latent representations by integrating information from different data modalities. A significant challenge is accurately inferring representations from any subset of modalities…

Machine Learning · Computer Science 2024-10-16 Yuta Oshima , Masahiro Suzuki , Yutaka Matsuo

Graph Neural Networks (GNNs) have shown strong performance on graph-structured data, but their reliance on graph connectivity often limits scalability and efficiency. Kolmogorov-Arnold Networks (KANs), a recent architecture with learnable…

Machine Learning · Computer Science 2025-08-12 Yuan-Hung Chao , Chia-Hsun Lu , Chih-Ya Shen

Global Autoregressive Models (GAMs) are a recent proposal [Parshakova et al., CoNLL 2019] for exploiting global properties of sequences for data-efficient learning of seq2seq models. In the first phase of training, an Energy-Based model…

Machine Learning · Computer Science 2019-12-19 Tetiana Parshakova , Jean-Marc Andreoli , Marc Dymetman

Generative models have emerged as powerful tools in medical imaging, enabling tasks such as segmentation, anomaly detection, and high-quality synthetic data generation. These models typically rely on learning meaningful latent…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Jordi Malé , Juan Fortea , Mateus Rozalem-Aranha , Neus Martínez-Abadías , Xavier Sevillano

We present a novel approach to predicting the pressure and flow rate of flexible electrohydrodynamic pumps using the Kolmogorov-Arnold Network. Inspired by the Kolmogorov-Arnold representation theorem, KAN replaces fixed activation…

Machine Learning · Computer Science 2024-12-31 Yanhong Peng , Yuxin Wang , Fangchao Hu , Miao He , Zebing Mao , Xia Huang , Jun Ding

Variational autoencoders (VAEs) are widely used deep generative models capable of learning unsupervised latent representations of data. Such representations are often difficult to interpret or control. We consider the problem of…

Machine Learning · Computer Science 2018-12-18 Jack Klys , Jake Snell , Richard Zemel

Energy-based language models (ELMs) parameterize an unnormalized distribution for natural sentences and are radically different from popular autoregressive language models (ALMs). As an important application, ELMs have been successfully…

Computation and Language · Computer Science 2023-05-30 Hong Liu , Zhaobiao Lv , Zhijian Ou , Wenbo Zhao , Qing Xiao

Understanding and modeling nonlinear dynamical systems is a fundamental challenge across science and engineering. Deep learning has shown remarkable potential for capturing complex system behavior, yet achieving models that are both…

Machine Learning · Computer Science 2026-03-06 Wei Liu , Kiran Bacsa , Loon Ching Tang , Eleni Chatzi

Latent space Energy-Based Models (EBMs), also known as energy-based priors, have drawn growing interests in the field of generative modeling due to its flexibility in the formulation and strong modeling power of the latent space. However,…

Machine Learning · Computer Science 2023-10-06 Peiyu Yu , Yaxuan Zhu , Sirui Xie , Xiaojian Ma , Ruiqi Gao , Song-Chun Zhu , Ying Nian Wu

The domain of laser fusion presents a unique and challenging predictive modeling application landscape for machine learning methods due to high problem complexity and limited training data. Data-driven approaches utilizing prescribed…

Machine Learning · Computer Science 2024-09-16 Rahman Ejaz , Varchas Gopalaswamy , Riccardo Betti , Aarne Lees , Christopher Kanan

Variational autoencoders (VAEs) are a popular generative model used to approximate distributions. The encoder part of the VAE is used in amortized learning of latent variables, producing a latent representation for data samples. Recently,…

Machine Learning · Statistics 2023-05-12 Daniel G. Edelberg , Roy R. Lederman