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We propose a scalable method for forward stochastic reachability analysis for uncontrolled linear systems with affine disturbance. Our method uses Fourier transforms to efficiently compute the forward stochastic reach probability measure…

Systems and Control · Computer Science 2017-02-14 Abraham P. Vinod , Baisravan Homchaudhuri , Meeko M. K. Oishi

Suppose X is a multivariate diffusion process that is observed discretely in time. At each observation time, a transformation of the state of the process is observed with noise. The smoothing problem consists of recovering the path of the…

Computation · Statistics 2024-09-04 Marcin Mider , Moritz Schauer , Frank van der Meulen

We analyse the efficiency of several simulation methods which we have recently proposed for calculating rate constants for rare events in stochastic dynamical systems, in or out of equilibrium. We derive analytical expressions for the…

Other Condensed Matter · Physics 2009-11-11 Rosalind J. Allen , Daan Frenkel , Pieter Rein ten Wolde

The random motion of molecules in living cells has consistently been reported to deviate from standard Brownian motion, a behavior coined as ``anomalous diffusion''. Fluorescence Correlation Spectroscopy (FCS) is a powerful method to…

Quantitative Methods · Quantitative Biology 2024-07-18 Nathan Quiblier , Jan-Michael Rye , Pierre Leclerc , Henri Truong , Abdelkrim Hannou , Laurent Héliot , Hugues Berry

Controlled feature selection aims to discover the features a response depends on while limiting the false discovery rate (FDR) to a predefined level. Recently, multiple deep-learning-based methods have been proposed to perform controlled…

Machine Learning · Statistics 2022-10-24 Derek Hansen , Brian Manzo , Jeffrey Regier

Building compact convolutional neural networks (CNNs) with reliable performance is a critical but challenging task, especially when deploying them in real-world applications. As a common approach to reduce the size of CNNs, pruning methods…

Machine Learning · Computer Science 2020-05-26 Hang Li , Chen Ma , Wei Xu , Xue Liu

Normalizing Flows (NFs) are a class of generative models distinguished by a mathematically invertible architecture, where the forward pass transforms data into a latent space for density estimation, and the reverse pass generates new…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Yang Chen , Xiaowei Xu , Shuai Wang , Chenhui Zhu , Ruxue Wen , Xubin Li , Tiezheng Ge , Limin Wang

Diffusion models have emerged as a leading technique for generating images due to their ability to create high-resolution and realistic images. Despite their strong performance, diffusion models still struggle in managing image collections…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Hailong Yang , Te Zhang , Kup-sze Choi , Zhaohong Deng

Diffusion and flow matching models generate high-fidelity data by simulating paths defined by Ordinary or Stochastic Differential Equations (ODEs/SDEs), starting from a tractable prior distribution. The probability flow ODE formulation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Liangyu Yuan , Ruoyu Wang , Tong Zhao , Dingwen Fu , Mingkun Lei , Beier Zhu , Chi Zhang

Normalizing flows (NF) are a class of powerful generative models that have gained popularity in recent years due to their ability to model complex distributions with high flexibility and expressiveness. In this work, we introduce a new type…

Machine Learning · Computer Science 2023-06-08 Jonas Köhler , Michele Invernizzi , Pim de Haan , Frank Noé

In this work we propose a one-class self-supervised method for anomaly segmentation in images that benefits both from a modern machine learning approach and a more classic statistical detection theory. The method consists of four phases.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Matías Tailanian , Álvaro Pardo , Pablo Musé

Diffusion models have emerged as a powerful tool for point cloud generation. A key component that drives the impressive performance for generating high-quality samples from noise is iteratively denoise for thousands of steps. While…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Lemeng Wu , Dilin Wang , Chengyue Gong , Xingchao Liu , Yunyang Xiong , Rakesh Ranjan , Raghuraman Krishnamoorthi , Vikas Chandra , Qiang Liu

Operator splitting schemes are a class of powerful algorithms that solve complicated monotone inclusion and convex optimization problems that are built from many simpler pieces. They give rise to algorithms in which all simple pieces of the…

Optimization and Control · Mathematics 2015-07-09 Damek Davis

. A sampling plan is a pilot tool for a supply and demand chain quality check strategy. These plans proved to be economically viable for the quality inspection processes but the uncertainty in the plan parameters challenged the reliability…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Julia Thampy Thomas , Mahesh Kumar

Due to the vast testing space, the increasing demand for effective and efficient testing of deep neural networks (DNNs) has led to the development of various DNN test case prioritization techniques. However, the fact that DNNs can deliver…

Software Engineering · Computer Science 2024-09-17 Jialuo Chen , Jingyi Wang , Xiyue Zhang , Youcheng Sun , Marta Kwiatkowska , Jiming Chen , Peng Cheng

The explosion of data in recent years has generated an increasing need for new analysis techniques in order to extract knowledge from massive datasets. Machine learning has proved particularly useful to perform this task. Fully automatized…

Instrumentation and Methods for Astrophysics · Physics 2018-08-29 Antonio D'Isanto , Stefano Cavuoti , Fabian Gieseke , Kai Lars Polsterer

The analysis of Frank Wolfe (FW) variants is often complicated by the presence of different kinds of "good" and "bad" steps. In this article we aim to simplify the convergence analysis of some of these variants by getting rid of such a…

Optimization and Control · Mathematics 2022-11-22 Francesco Rinaldi , Damiano Zeffiro

Data-flow analysis is a general technique used to compute information of interest at different points of a program and is considered to be a cornerstone of static analysis. In this thesis, we consider interprocedural data-flow analysis as…

Programming Languages · Computer Science 2023-09-21 Ahmed Khaled Zaher

Pruning is a model compression method that removes redundant parameters in deep neural networks (DNNs) while maintaining accuracy. Most available filter pruning methods require complex treatments such as iterative pruning, features…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Yue Wu , Yuan Lan , Luchan Zhang , Yang Xiang

The growing demand for text-to-image generation has led to rapid advances in generative modeling. Recently, text-to-image diffusion models trained with flow matching algorithms, such as FLUX, have achieved remarkable progress and emerged as…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Zikai Zhou , Muyao Wang , Shitong Shao , Lichen Bai , Haoyi Xiong , Bo Han , Zeke Xie