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We introduce the Latent Fourier Transform (LatentFT), a framework that provides novel frequency-domain controls for generative music models. LatentFT combines a diffusion autoencoder with a latent-space Fourier transform to separate musical…

Sound · Computer Science 2026-04-21 Mason Wang , Cheng-Zhi Anna Huang

We study a frequency-dependent damping model of hyper-diffusion within the generalized Langevin equation. The model allows for the colored noise defined by its spectral density, assumed to be proportional to $\omega^{\delta-1}$ at low…

Statistical Mechanics · Physics 2017-04-05 Jia-Ming Zhang , Jing-Dong Bao

The proliferation of wireless communications networks over the past decades, combined with the scarcity of the wireless spectrum, have motivated a significant effort towards increasing the throughput of wireless networks. One of the major…

Signal Processing · Electrical Eng. & Systems 2022-06-27 Emeka Abakasanga , Nir Shlezinger , Ron Dabora

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

This paper introduces UnDiff, a diffusion probabilistic model capable of solving various speech inverse tasks. Being once trained for speech waveform generation in an unconditional manner, it can be adapted to different tasks including…

The fast algorithms in Fourier optics have invigorated multifunctional device design and advanced imaging technologies. However, the necessity for fast computations has led to limitations in the widely used conventional Fourier methods,…

Applied Physics · Physics 2024-06-25 Zhi Li , Xuhao Luo , Jing Wang , Xin Yuan , Dongdong Teng , Qiang Song , Huigao Duan

Peak-to-average power ratio (PAPR) remains a major limitation of multicarrier modulation schemes such as orthogonal frequency-division multiplexing (OFDM), reducing power amplifier efficiency and limiting practical transmit power. In this…

Information Theory · Computer Science 2026-03-26 Ran Greidi , Kobi Cohen

Autoregressive language models can often identify parallel subproblems, but standard decoding exposes only a single left-to-right output interface. External orchestration methods can launch multiple prompts concurrently, yet they provide no…

Artificial Intelligence · Computer Science 2026-03-10 Logan Robbins

Diffusion-based generative image compression has demonstrated remarkable potential for achieving realistic reconstruction at ultra-low bitrates. The key to unlocking this potential lies in making the entire compression process…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Xihua Sheng , Lingyu Zhu , Tianyu Zhang , Dong Liu , Shiqi Wang , Jing Wang

Deterministic regression-based downscaling models for climate variables often suffer from spectral bias, which can be mitigated by generative models like diffusion models. To enable efficient and reliable simulation of extreme weather…

Machine Learning · Computer Science 2025-03-14 Rahul Sundar , Yucong Hu , Nishant Parashar , Antoine Blanchard , Boyko Dodov

The lack of real-world data in clinical fields poses a major obstacle in training effective AI models for diagnostic and preventive tools in medicine. Generative AI has shown promise in increasing data volume and enhancing model training,…

Machine Learning · Computer Science 2026-02-10 Md Shahriar Kabir , Sana Alamgeer , Minakshi Debnath , Anne H. H. Ngu

Time series forecasting is vital across many domains, yet existing models struggle with fixed-length inputs and inadequate multi-scale modeling. We propose MR-CDM, a framework combining hierarchical multi-resolution trend decomposition, an…

Machine Learning · Computer Science 2026-04-09 Xianyong Xu , Yuanjun Zuo , Zhihong Huang , Yihan Qin , Haoxian Xu , Leilei Du , Haotian Wang

Diffusion Transformers (DiT) are renowned for their impressive generative performance; however, they are significantly constrained by considerable computational costs due to the quadratic complexity in self-attention and the extensive…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Shuning Chang , Pichao Wang , Jiasheng Tang , Fan Wang , Yi Yang

Conditional Diffusion Models are powerful surrogates for emulating complex spatiotemporal dynamics, yet they often fail to match the accuracy of deterministic neural emulators for high-precision tasks. In this work, we address two critical…

Machine Learning · Computer Science 2026-04-13 Constantin Le Cleï , Nils Thuerey , Xiaoxiang Zhu

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

Machine Learning · Statistics 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo

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

Several recent studies have attempted to autoregressively generate continuous speech representations without discrete speech tokens by combining diffusion and autoregressive models, yet they often face challenges with excessive…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-09 Dongya Jia , Zhuo Chen , Jiawei Chen , Chenpeng Du , Jian Wu , Jian Cong , Xiaobin Zhuang , Chumin Li , Zhen Wei , Yuping Wang , Yuxuan Wang

Diffusion-based generative models learn to iteratively transfer unstructured noise to a complex target distribution as opposed to Generative Adversarial Networks (GANs) or the decoder of Variational Autoencoders (VAEs) which produce samples…

Machine Learning · Computer Science 2022-10-26 Sarthak Mittal , Guillaume Lajoie , Stefan Bauer , Arash Mehrjou

Recently, diffusion models have gained popularity and attention in trajectory optimization due to their capability of modeling multi-modal probability distributions. However, addressing nonlinear equality constraints, i.e, dynamic…

Robotics · Computer Science 2026-03-10 Jushan Chen , Santiago Paternain

Generative AI has received significant attention among a spectrum of diverse industrial and academic domains, thanks to the magnificent results achieved from deep generative models such as generative pre-trained transformers (GPT) and…

Information Theory · Computer Science 2023-10-06 Mehdi Letafati , Samad Ali , Matti Latva-aho
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