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Discrete diffusion models have recently become competitive with autoregressive models for language modeling, even outperforming them on reasoning tasks requiring planning and global coherence, but they require more computation at inference…

Machine Learning · Computer Science 2026-02-04 Andre He , Sean Welleck , Daniel Fried

While there has been a surge of recent interest in learning differential equation models from time series, methods in this area typically cannot cope with highly noisy data. We break this problem into two parts: (i) approximating the…

Machine Learning · Statistics 2020-12-08 Harish S. Bhat , Majerle Reeves , Ramin Raziperchikolaei

Noise is one of the primary sources of interference in seismic exploration. Many authors have proposed various methods to remove noise from seismic data; however, in the face of strong noise conditions, satisfactory results are often not…

Geophysics · Physics 2024-04-04 Junheng Peng , Yong Li , Yingtian Liu , Zhangquan Liao

Extracting individual elements from music mixtures is a valuable tool for music production and practice. While neural networks optimized to mask or transform mixture spectrograms into the individual source(s) have been the leading approach,…

Sound · Computer Science 2025-11-26 Genís Plaja-Roglans , Yun-Ning Hung , Xavier Serra , Igor Pereira

Autoregressive (AR) models have long dominated the landscape of large language models, driving progress across a wide range of tasks. Recently, diffusion-based language models have emerged as a promising alternative, though their advantages…

Machine Learning · Computer Science 2025-10-28 Mihir Prabhudesai , Mengning Wu , Amir Zadeh , Katerina Fragkiadaki , Deepak Pathak

This paper develops a new framework, called modular regression, to utilize auxiliary information -- such as variables other than the original features or additional data sets -- in the training process of linear models. At a high level, our…

Methodology · Statistics 2023-11-27 Ying Jin , Dominik Rothenhäusler

We extend a recently introduced class of exactly solvable models for recurrent neural networks with competition between 1D nearest neighbour and infinite range information processing. We increase the potential for further frustration and…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. S. Skantzos , A. C. C. Coolen

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

Machine Learning · Computer Science 2021-08-19 Radostin Cholakov , Todor Kolev

Recently, video recognition is emerging with the help of multi-modal learning, which focuses on integrating distinct modalities to improve the performance or robustness of the model. Although various multi-modal learning methods have been…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Haochen Han , Qinghua Zheng , Minnan Luo , Kaiyao Miao , Feng Tian , Yan Chen

Diffusion models learn to denoise data and the trained denoiser is then used to generate new samples from the data distribution. In this paper, we revisit the diffusion sampling process and identify a fundamental cause of sample quality…

Machine Learning · Computer Science 2024-11-05 Yunshu Wu , Yingtao Luo , Xianghao Kong , Evangelos E. Papalexakis , Greg Ver Steeg

We introduce a variational framework for diffusion models with anisotropic noise schedules parameterized by a matrix-valued path $M_t(\theta)$ that allocates noise across subspaces. Central to our framework is a trajectory-level objective…

Machine Learning · Computer Science 2026-02-24 Pengxi Liu , Zeyu Michael Li , Xiang Cheng

Financial time series often exhibit low signal-to-noise ratio, posing significant challenges for accurate data interpretation and prediction and ultimately decision making. Generative models have gained attention as powerful tools for…

Machine Learning · Computer Science 2024-09-05 Zhuohan Wang , Carmine Ventre

Based on literature review about existing diffusion models and flow matching with a neural network to predict a predefined target from noisy data, a unified representation is first proposed for these models using two simple linear equations…

Machine Learning · Computer Science 2026-03-10 Zhengguo Li , Chaobing Zheng , Wei Wang

This paper addresses the emulation-based observer design for networked control systems (NCS) with linear plants that operate at two time scales in the presence of measurement noise. The system is formulated as a hybrid singularly perturbed…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Weixuan Wang , Alejandro I. Maass , Dragan Nešić , Ying Tan , Romain Postoyan , W. P. M. H. Heemels

Incorporating every annotator's perspective is crucial for unbiased data modeling. Annotator fatigue and changing opinions over time can distort dataset annotations. To combat this, we propose to learn a more accurate representation of…

Machine Learning · Computer Science 2024-06-05 Uthman Jinadu , Yi Ding

Modeling and synthesizing image noise is an important aspect in many computer vision applications. The long-standing additive white Gaussian and heteroscedastic (signal-dependent) noise models widely used in the literature provide only a…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Abdelrahman Abdelhamed , Marcus A. Brubaker , Michael S. Brown

This paper studies the multi-task high-dimensional linear regression models where the noise among different tasks is correlated, in the moderately high dimensional regime where sample size $n$ and dimension $p$ are of the same order. Our…

Statistics Theory · Mathematics 2022-06-16 Kai Tan , Gabriel Romon , Pierre C Bellec

Motion prediction is a challenging problem in autonomous driving as it demands the system to comprehend stochastic dynamics and the multi-modal nature of real-world agent interactions. Diffusion models have recently risen to prominence, and…

Robotics · Computer Science 2024-05-03 Jiahui Li , Tianle Shen , Zekai Gu , Jiawei Sun , Chengran Yuan , Yuhang Han , Shuo Sun , Marcelo H. Ang

The development of acoustic simulation workflows in the time-domain description is essential for predicting the sound of aeroacoustic or other transient acoustic effects. A common practice for noise mitigation is using absorbers. The…

Sound · Computer Science 2024-03-07 Stefan Schoder , Paul Maurerlehner

Convolutive Non-Negative Matrix Factorization model factorizes a given audio spectrogram using frequency templates with a temporal dimension. In this paper, we present a convolutional auto-encoder model that acts as a neural network…

Sound · Computer Science 2017-09-26 Shrikant Venkataramani , Y. Cem Subakan , Paris Smaragdis
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