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We propose a novel method for simulating conditioned diffusion processes (diffusion bridges) in Euclidean spaces. By training a neural network to approximate bridge dynamics, our approach eliminates the need for computationally intensive…

Machine Learning · Statistics 2025-06-23 Gefan Yang , Frank van der Meulen , Stefan Sommer

We propose a hybrid method, the Neural Enrichment Finite Element Method (NEFEM), designed for problems involving strong oscillations or interface problems with weak discontinuities. This method is based on the stable generalized finite…

Numerical Analysis · Mathematics 2026-05-12 Shihan Guo , Thomas Richter

One-step generative modeling has emerged as a leading approach to amortize the inference cost of diffusion and flow-matching models. Among distillation-free methods, MeanFlow training is notoriously unstable, with non-decreasing loss and…

Machine Learning · Computer Science 2026-05-12 Juanwu Lu , Ziran Wang

We propose a framework for solving evolution equations within parametric function classes, especially ones that are specified by neural networks. We call this framework the minimal neural evolution (MNE) because it is motivated by the goal…

Numerical Analysis · Mathematics 2025-02-07 Michael Lindsey

The foremost challenge to causal inference with real-world data is to handle the imbalance in the covariates with respect to different treatment options, caused by treatment selection bias. To address this issue, recent literature has…

Machine Learning · Statistics 2022-02-23 Zhixuan Chu , Stephen Rathbun , Sheng Li

Influence maximization (IM) is the problem of finding a seed vertex set that maximizes the expected number of vertices influenced under a given diffusion model. Due to the NP-Hardness of finding an optimal seed set, approximation algorithms…

Social and Information Networks · Computer Science 2021-05-11 Gokhan Gokturk , Kamer Kaya

The fast fashion industry suffers from significant environmental impacts due to overproduction and unsold inventory. Accurately predicting sales volumes for unreleased products could significantly improve efficiency and resource…

Machine Learning · Computer Science 2024-12-11 Andrea Avogaro , Luigi Capogrosso , Franco Fummi , Marco Cristani

How can we process a piece of recorded music to detect and visualize the onset of each instrument? A simple, interpretable approach is based on partially fixed nonnegative matrix factorization (NMF). Yet despite the method's simplicity,…

Numerical Analysis · Mathematics 2026-01-16 Alisha L. Foster , Robert J. Webber

Diffusion models have shown incredible capabilities as generative models; indeed, they power the current state-of-the-art models on text-conditioned image generation such as Imagen and DALL-E 2. In this work we review, demystify, and unify…

Machine Learning · Computer Science 2022-08-26 Calvin Luo

Compressing large Neural Networks (NN) by quantizing the parameters, while maintaining the performance is highly desirable due to reduced memory and time complexity. In this work, we cast NN quantization as a discrete labelling problem, and…

Computer Vision and Pattern Recognition · Computer Science 2019-08-21 Thalaiyasingam Ajanthan , Puneet K. Dokania , Richard Hartley , Philip H. S. Torr

We introduce HyperDiffusionFields (HyDiF), a framework that models 3D molecular conformers as continuous fields rather than discrete atomic coordinates or graphs. At the core of our approach is the Molecular Directional Field (MDF), a…

Machine Learning · Computer Science 2025-10-22 Sudarshan Babu , Phillip Lo , Xiao Zhang , Aadi Srivastava , Ali Davariashtiyani , Jason Perera , Michael Maire , Aly A. Khan

We develop a framework for the analysis of deep neural networks and neural ODE models that are trained with stochastic gradient algorithms. We do that by identifying the connections between control theory, deep learning and theory of…

Probability · Mathematics 2021-03-18 Jean-François Jabir , David Šiška , Łukasz Szpruch

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise)…

Machine Learning · Computer Science 2021-02-10 Nicolas Gillis , Le Thi Khanh Hien , Valentin Leplat , Vincent Y. F. Tan

Since its introduction in 2003, the influence maximization (IM) problem has drawn significant research attention in the literature. The aim of IM is to select a set of k users who can influence the most individuals in the social network.…

Social and Information Networks · Computer Science 2019-06-19 Hui Li , Mengting Xu , Sourav S Bhowmick , Changsheng Sun , Zhongyuan Jiang , Jiangtao Cui

Independent sample generation is the prevailing paradigm in modern diffusion-based generative models of AI. We ask a different question: can samples \emph{coordinate} through shared population statistics to transport probability mass more…

Optimization and Control · Mathematics 2026-05-04 Michael Chertkov

Influence maximization aims to find a subset of seeds that maximize the influence spread under a given budget. In this paper, we mainly address the data-driven version of this problem, where the diffusion model is not given but needs to be…

Social and Information Networks · Computer Science 2023-11-21 Yuxin Zuo , Haojia Sun , Yongyi Hu , Jianxiong Guo , Xiaofeng Gao

Network representation learning aims to generate an embedding for each node in a network, which facilitates downstream machine learning tasks such as node classification and link prediction. Current work mainly focuses on transductive…

Social and Information Networks · Computer Science 2023-06-02 Meng Liu , Yong Liu

In social online platforms, identifying influential seed users to maximize influence spread is a crucial as it can greatly diminish the cost and efforts required for information dissemination. While effective, traditional methods for…

Social and Information Networks · Computer Science 2025-01-03 Huyen Nguyen , Hieu Dam , Nguyen Do , Cong Tran , Cuong Pham

Influence propagation in social networks has recently received large interest. In fact, the understanding of how influence propagates among subjects in a social network opens the way to a growing number of applications. Many efforts have…

Social and Information Networks · Computer Science 2018-01-30 Luca Luceri , Torsten Braun , Silvia Giordano

We study large but finite neural networks that, in the thermodynamic limit, admit an exact low-dimensional mean-field description. We assume that the governing mean-field equations describing macroscopic quantities such as the mean firing…

Chaotic Dynamics · Physics 2026-02-11 Irmantas Ratas , Kestutis Pyragas
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