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We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

Most research on novel techniques for 3D Medical Image Segmentation (MIS) is currently done using Deep Learning with GPU accelerators. The principal challenge of such technique is that a single input can easily cope computing resources, and…

Machine Learning · Computer Science 2021-11-01 Josep Lluis Berral , Oriol Aranda , Juan Luis Dominguez , Jordi Torres

Generative models such as diffusion models, excel at capturing high-dimensional distributions with diverse input modalities, e.g. robot trajectories, but are less effective at multi-step constraint reasoning. Task and Motion Planning (TAMP)…

Recurrent spiking neural networks (RSNN) in the human brain learn to perform a wide range of perceptual, cognitive and motor tasks very efficiently in terms of energy consumption and requires very few examples. This motivates the search for…

Neurons and Cognition · Quantitative Biology 2021-03-22 Paolo Muratore , Cristiano Capone , Pier Stanislao Paolucci

As data size and computing power increase, the architectures of deep neural networks (DNNs) have been getting more complex and huge, and thus there is a growing need to simplify such complex and huge DNNs. In this paper, we propose a novel…

Machine Learning · Statistics 2023-05-24 Insung Kong , Dongyoon Yang , Jongjin Lee , Ilsang Ohn , Yongdai Kim

Markov chain Monte Carlo (MCMC) methods have existed for a long time and the field is well-explored. The purpose of MCMC methods is to approximate a distribution through repeated sampling; most MCMC algorithms exhibit asymptotically optimal…

Computation · Statistics 2023-07-13 Fareed Sheriff

Decentralized optimization is critical for solving large-scale machine learning problems over distributed networks, where multiple nodes collaborate through local communication. In practice, the variances of stochastic gradient estimators…

Optimization and Control · Mathematics 2026-02-13 Hongxu Chen , Ke Wei , Luo Luo

Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs…

Computation · Statistics 2025-09-30 Noah Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

Sampling-based model predictive controllers generate trajectories by sampling control inputs from a fixed, simple distribution such as the normal or uniform distributions. This sampling method yields trajectory samples that are tightly…

Systems and Control · Electrical Eng. & Systems 2025-03-13 O. Goktug Poyrazoglu , Rahul Moorthy , Yukang Cao , William Chastek , Volkan Isler

In this paper, we propose a general methodology for sampling from un-normalized densities defined on Riemannian manifolds, with a particular focus on multi-modal targets that remain challenging for existing sampling methods. Inspired by the…

Machine Learning · Statistics 2026-02-03 Alain Durmus , Maxence Noble , Thibaut Pellerin

Understanding the macroscopic characteristics of biological complexes demands precision and specificity in statistical ensemble modeling. One of the primary challenges in this domain lies in sampling from particular subsets of the…

Machine Learning · Computer Science 2023-07-11 Justin Diamond , Markus Lill

Sampling from unnormalized multimodal distributions with limited density evaluations remains a fundamental challenge in machine learning and natural sciences. Successful approaches construct a bridge between a tractable reference and the…

Score Distillation Sampling (SDS) is a recent but already widely popular method that relies on an image diffusion model to control optimization problems using text prompts. In this paper, we conduct an in-depth analysis of the SDS loss…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Thiemo Alldieck , Nikos Kolotouros , Cristian Sminchisescu

Diffusion models (DMs) are a powerful generative framework that have attracted significant attention in recent years. However, the high computational cost of training DMs limits their practical applications. In this paper, we start with a…

Machine Learning · Computer Science 2024-04-12 Tianshuo Xu , Peng Mi , Ruilin Wang , Yingcong Chen

Denoising diffusion models (DDMs) offer a flexible framework for sampling from high dimensional data distributions. DDMs generate a path of probability distributions interpolating between a reference Gaussian distribution and a data…

Machine Learning · Statistics 2024-12-12 Christopher Williams , Andrew Campbell , Arnaud Doucet , Saifuddin Syed

Recent empirical studies have demonstrated that diffusion models can effectively learn the image distribution and generate new samples. Remarkably, these models can achieve this even with a small number of training samples despite a large…

Machine Learning · Computer Science 2025-07-08 Peng Wang , Huijie Zhang , Zekai Zhang , Siyi Chen , Yi Ma , Qing Qu

Generative models capture the true distribution of data, yielding semantically rich representations. Denoising diffusion models (DDMs) exhibit superior generative capabilities, though efficient representation learning for them are lacking.…

Machine Learning · Computer Science 2025-05-12 Limai Jiang , Yunpeng Cai

Statistical Shape Modeling (SSM) effectively analyzes anatomical variations within populations but is limited by the need for manual localization and segmentation, which relies on scarce medical expertise. Recent advances in deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Janmesh Ukey , Tushar Kataria , Shireen Y. Elhabian

Any order generation of discrete data using masked diffusion models (MDMs) offers a compelling alternative to traditional autoregressive models, especially in domains that lack a natural causal ordering of data. However, current popular…

This paper investigates score-based diffusion models when the underlying target distribution is concentrated on or near low-dimensional manifolds within the higher-dimensional space in which they formally reside, a common characteristic of…

Machine Learning · Computer Science 2025-01-03 Gen Li , Yuling Yan