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In Diffusion Probabilistic Models (DPMs), the task of modeling the score evolution via a single time-dependent neural network necessitates extended training periods and may potentially impede modeling flexibility and capacity. To counteract…

Machine Learning · Computer Science 2023-06-06 Etrit Haxholli , Marco Lorenzi

We propose a novel approach to video anomaly detection: we treat feature vectors extracted from videos as realizations of a random variable with a fixed distribution and model this distribution with a neural network. This lets us estimate…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Jakub Micorek , Horst Possegger , Dominik Narnhofer , Horst Bischof , Mateusz Kozinski

Message-passing algorithms have been adapted for compressive imaging by incorporating various off-the-shelf image denoisers. However, these denoisers rely largely on generic or hand-crafted priors and often fall short in accurately…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Chang Cai , Hao Jiang , Xiaojun Yuan , Ying-Jun Angela Zhang

When Large Language Models produce structured outputs such as travel plans, code solutions, or multi-step proofs, individual reasoning steps may appear correct while the output as a whole violates budgets, fails test cases, or contradicts…

Machine Learning · Computer Science 2026-05-20 Shireen Kudukkil Manchingal , Abhey Kalia , Fernanda Gonçalves , Shebin Rawther

Variational autoencoder (VAE) and generative adversarial networks (GAN) have found widespread applications in clustering and have achieved significant success. However, the potential of these approaches may be limited due to VAE's mediocre…

Machine Learning · Computer Science 2023-12-14 Jie Yan , Jing Liu , Zhong-yuan Zhang

Traditional supervised denoisers are trained using pairs of noisy input and clean target images. They learn to predict a central tendency of the posterior distribution over possible clean images. When, e.g., trained with the popular…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Benjamin Salmon , Alexander Krull

Diffusion generative modelling (DGM) based on stochastic differential equations (SDEs) with score matching has achieved unprecedented results in data generation. In this paper, we propose a novel fast high-quality generative modelling…

Machine Learning · Computer Science 2025-01-03 Ziqiang Shi , Rujie Liu

We propose a parsimonious class of arbitrage-free, yields-only dynamic term structure models (DTSMs) with unspanned latent risks. To enable sequential estimation and forecasting, we develop a Sequential Monte Carlo framework that combines…

This work builds on a previous work on unsupervised speech enhancement using a dynamical variational autoencoder (DVAE) as the clean speech model and non-negative matrix factorization (NMF) as the noise model. We propose to replace the NMF…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-14 Xiaoyu Lin , Simon Leglaive , Laurent Girin , Xavier Alameda-Pineda

We propose Nodewise Loreg, a nodewise $L_0$-penalized regression method for estimating high-dimensional sparse precision matrices. We establish its asymptotic properties, including convergence rates, support recovery, and asymptotic…

Statistics Theory · Mathematics 2024-06-11 Hai Shu , Ziqi Chen , Yingjie Zhang , Hongtu Zhu

Modern recommender systems struggle to effectively utilize the rich, yet high-dimensional and noisy, multi-modal features generated by Large Language Models (LLMs). Treating these features as static inputs decouples them from the core…

Information Retrieval · Computer Science 2025-12-02 Jiahao Tian , Zhenkai Wang

Score-based diffusion models represent a significant variant within the diffusion model family and have seen extensive application in the increasingly popular domain of generative tasks. Recent investigations have explored the denoising…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Hao Mo , Yaping Sun , Shumin Yao , Hao Chen , Zhiyong Chen , Xiaodong Xu , Nan Ma , Meixia Tao , Shuguang Cui

Whereas diverse variations of diffusion models exist, extending the linear diffusion into a nonlinear diffusion process is investigated by very few works. The nonlinearity effect has been hardly understood, but intuitively, there would be…

Machine Learning · Computer Science 2022-10-14 Dongjun Kim , Byeonghu Na , Se Jung Kwon , Dongsoo Lee , Wanmo Kang , Il-Chul Moon

We propose a large-margin Gaussian Mixture (L-GM) loss for deep neural networks in classification tasks. Different from the softmax cross-entropy loss, our proposal is established on the assumption that the deep features of the training set…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Weitao Wan , Yuanyi Zhong , Tianpeng Li , Jiansheng Chen

Domain generalization aims to improve the generalization capability of machine learning systems to out-of-distribution (OOD) data. Existing domain generalization techniques embark upon stationary and discrete environments to tackle the…

Machine Learning · Computer Science 2022-06-17 Tiexin Qin , Shiqi Wang , Haoliang Li

We present a deep neural network for a model-free prediction of a chaotic dynamical system from noisy observations. The proposed deep learning model aims to predict the conditional probability distribution of a state variable. The Long…

Machine Learning · Computer Science 2017-10-05 Kyongmin Yeo

We present a deep learning model, DE-LSTM, for the simulation of a stochastic process with an underlying nonlinear dynamics. The deep learning model aims to approximate the probability density function of a stochastic process via numerical…

Computational Physics · Physics 2018-10-23 Kyongmin Yeo , Igor Melnyk

Various gradient compression schemes have been proposed to mitigate the communication cost in distributed training of large scale machine learning models. Sign-based methods, such as signSGD, have recently been gaining popularity because of…

Optimization and Control · Mathematics 2021-06-25 Mher Safaryan , Peter Richtárik

Score-based generative models based on stochastic differential equations (SDEs) achieve impressive performance in sampling from unknown distributions, but often fail to satisfy underlying constraints. We propose a constrained generative…

Machine Learning · Statistics 2025-10-29 Adam Nordenhög , Akash Sharma

Noise transition matrix (NTM) estimation is a promising approach for learning with label noise. It can infer clean posterior probabilities, known as Label Distribution (LD), based on noisy ones and reduce the impact of noisy labels.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zehui Liao , Shishuai Hu , Yutong Xie , Yong Xia