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A popular approach to protein design is to combine a generative model with a discriminative model for conditional sampling. The generative model samples plausible sequences while the discriminative model guides a search for sequences with…

We consider the problem of learning an $\varepsilon$-optimal policy in a general class of continuous-space Markov decision processes (MDPs) having smooth Bellman operators. Given access to a generative model, we achieve rate-optimal sample…

Machine Learning · Computer Science 2024-05-13 Davide Maran , Alberto Maria Metelli , Matteo Papini , Marcello Restelli

Spiking Neural Networks (SNNs) emerged as a promising solution in the field of Artificial Neural Networks (ANNs), attracting the attention of researchers due to their ability to mimic the human brain and process complex information with…

Neural and Evolutionary Computing · Computer Science 2023-09-12 Pavithra Koralalage , Ireoluwa Fakeye , Pedro Machado , Jason Smith , Isibor Kennedy Ihianle , Salisu Wada Yahaya , Andreas Oikonomou , Ahmad Lotfi

Medical image segmentation (MIS) plays an instrumental role in medical image analysis, where considerable effort has been devoted to automating the process. Currently, mainstream MIS approaches are based on deep neural networks (DNNs),…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Binyan Hu , A. K. Qin

Denoising diffusion models have become ubiquitous for generative modeling. The core idea is to transport the data distribution to a Gaussian by using a diffusion. Approximate samples from the data distribution are then obtained by…

Modeling dynamics in the form of partial differential equations (PDEs) is an effectual way to understand real-world physics processes. For complex physics systems, analytical solutions are not available and numerical solutions are…

Numerical Analysis · Mathematics 2024-01-19 Zijiang Yang , Zhongwei Qiu , Dongmei Fu

Training deep neural networks (DNNs) on edge devices has attracted increasing attention due to its potential to address challenges related to domain adaptation and privacy preservation. However, DNNs typically rely on large datasets for…

Machine Learning · Computer Science 2025-08-05 Boran Zhao , Haiduo Huang , Qiwei Dang , Wenzhe Zhao , Tian Xia , Pengju Ren

Several problems in machine learning are naturally expressed as the design and analysis of time-evolving probability distributions. This includes sampling via diffusion methods, optimizing the weights of neural networks, and analyzing the…

Optimization and Control · Mathematics 2026-05-28 Gabriel Peyré

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu

A fundamental problem in neuroscience is to characterize the dynamics of spiking from the neurons in a circuit that is involved in learning about a stimulus or a contingency. A key limitation of current methods to analyze neural spiking…

Methodology · Statistics 2017-09-29 Yingzhuo Zhang , Noa Malem-Shinitski , Stephen A Allsop , Kay Tye , Demba Ba

The rare-event sampling problem has long been the central limiting factor in molecular dynamics (MD), especially in biomolecular simulation. Recently, diffusion models such as BioEmu have emerged as powerful equilibrium samplers that…

Brain tumors in magnetic resonance imaging (MR) are difficult, time-consuming, and prone to human error. These challenges can be resolved by developing automatic brain tumor segmentation methods from MR images. Various deep-learning models…

Image and Video Processing · Electrical Eng. & Systems 2024-08-23 Subin Sahayam , John Michael Sujay Zakkam , Yoga Sri Varshan , Umarani Jayaraman

We propose a simple algorithm to train stochastic neural networks to draw samples from given target distributions for probabilistic inference. Our method is based on iteratively adjusting the neural network parameters so that the output…

Machine Learning · Statistics 2016-11-29 Dilin Wang , Qiang Liu

Recent advances in geometric deep-learning introduce complex computational challenges for evaluating the distance between meshes. From a mesh model, point clouds are necessary along with a robust distance metric to assess surface quality or…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Léo Lebrat , Rodrigo Santa Cruz , Clinton Fookes , Olivier Salvado

Recent years have witnessed Spiking Neural Networks (SNNs) gaining attention for their ultra-low energy consumption and high biological plausibility compared with traditional Artificial Neural Networks (ANNs). Despite their distinguished…

Neural and Evolutionary Computing · Computer Science 2024-08-30 Jiahang Cao , Hanzhong Guo , Ziqing Wang , Deming Zhou , Hao Cheng , Qiang Zhang , Renjing Xu

Research around Spiking Neural Networks has ignited during the last years due to their advantages when compared to traditional neural networks, including their efficient processing and inherent ability to model complex temporal dynamics.…

Neural and Evolutionary Computing · Computer Science 2022-10-04 Aitor Martinez Seras , Javier Del Ser , Jesus L. Lobo , Pablo Garcia-Bringas , Nikola Kasabov

The performance of pre-trained masked diffusion models is often constrained by their sampling procedure, which makes decisions irreversible and struggles in low-step generation regimes. We introduce a novel sampling algorithm that works…

Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

Machine Learning · Statistics 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella
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