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Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

概率论 · 数学 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

Recovering natural language prompts for image generation models, solely based on the generated images is a difficult discrete optimization problem. In this work, we present the first head-to-head comparison of recent discrete optimization…

计算机视觉与模式识别 · 计算机科学 2025-05-01 Joshua Nathaniel Williams , Avi Schwarzschild , Yutong He , J. Zico Kolter

Modern generative modeling methods have demonstrated strong performance in learning complex data distributions from clean samples. In many scientific and imaging applications, however, clean samples are unavailable, and only noisy or…

机器学习 · 计算机科学 2026-05-29 Willem Diepeveen , Oscar Leong

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

Continual learning empowers models to adapt autonomously to the ever-changing environment or data streams without forgetting old knowledge. Prompt-based approaches are built on frozen pre-trained models to learn the task-specific prompts…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Zhanxin Gao , Jun Cen , Xiaobin Chang

Compressed prompts aid instruction-tuned language models (LMs) in overcoming context window limitations and reducing computational costs. Existing methods, which primarily based on training embeddings, face various challenges associated…

计算与语言 · 计算机科学 2024-06-04 Hoyoun Jung , Kyung-Joong Kim

Recently pretrained generative models have shown promising results for subsampled Fourier Ptychography (FP) in terms of quality of reconstruction for extremely low sampling rate and high noise. However, one of the significant drawbacks of…

图像与视频处理 · 电气工程与系统科学 2020-05-15 Fahad Shamshad , Asif Hanif , Ali Ahmed

Recent advances in quantized compressed sensing and high-dimensional estimation have shown that signal recovery is even feasible under strong non-linear distortions in the observation process. An important characteristic of associated…

信息论 · 计算机科学 2023-08-08 Martin Genzel , Alexander Stollenwerk

This paper outlines an end-to-end optimized lossy image compression framework using diffusion generative models. The approach relies on the transform coding paradigm, where an image is mapped into a latent space for entropy coding and, from…

图像与视频处理 · 电气工程与系统科学 2024-01-03 Ruihan Yang , Stephan Mandt

While the numerous parameters in Large Language Models (LLMs) contribute to their superior performance, this massive scale makes them inefficient and memory-hungry. Thus, they are hard to deploy on commodity hardware, such as one single…

计算与语言 · 计算机科学 2023-10-11 Zhaozhuo Xu , Zirui Liu , Beidi Chen , Yuxin Tang , Jue Wang , Kaixiong Zhou , Xia Hu , Anshumali Shrivastava

Deep generative models have achieved conspicuous progress in realistic image synthesis with multifarious conditional inputs, while generating diverse yet high-fidelity images remains a grand challenge in conditional image generation. This…

计算机视觉与模式识别 · 计算机科学 2022-07-25 Fangneng Zhan , Yingchen Yu , Rongliang Wu , Jiahui Zhang , Kaiwen Cui , Changgong Zhang , Shijian Lu

Foundation models contain a wealth of information from their vast number of training samples. However, most prior arts fail to extract this information in a precise and efficient way for small sample sizes. In this work, we propose a…

机器学习 · 计算机科学 2024-04-26 Nico Schiavone , Xingyu Li

Recent improvements in conditional generative modeling have made it possible to generate high-quality images from language descriptions alone. We investigate whether these methods can directly address the problem of sequential…

机器学习 · 计算机科学 2023-07-11 Anurag Ajay , Yilun Du , Abhi Gupta , Joshua Tenenbaum , Tommi Jaakkola , Pulkit Agrawal

Recent generative models based on score matching and flow matching have significantly advanced generation tasks, but their potential in discriminative tasks remains underexplored. Previous approaches, such as generative classifiers, have…

计算机视觉与模式识别 · 计算机科学 2025-08-14 Rongkun Xue , Jinouwen Zhang , Yazhe Niu , Dazhong Shen , Bingqi Ma , Yu Liu , Jing Yang

Speech super-resolution (SR) is the task that restores high-resolution speech from low-resolution input. Existing models employ simulated data and constrained experimental settings, which limit generalization to real-world SR. Predictive…

音频与语音处理 · 电气工程与系统科学 2024-01-26 Heming Wang , Eric W. Healy , DeLiang Wang

Compressed sensing and its extensions have recently triggered interest in randomized signal acquisition. A key finding is that random measurements provide sparse signal reconstruction guarantees for efficient and stable algorithms with a…

信息论 · 计算机科学 2014-07-08 Felix Krahmer , Holger Rauhut

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

信息论 · 计算机科学 2010-01-26 Galen Reeves , Michael Gastpar

This article presents novel results concerning the recovery of signals from undersampled data in the common situation where such signals are not sparse in an orthonormal basis or incoherent dictionary, but in a truly redundant dictionary.…

数值分析 · 数学 2015-03-17 Emmanuel J. Candes , Yonina C. Eldar , Deanna Needell , Paige Randall

Offline reinforcement learning (RL) methods harness previous experiences to derive an optimal policy, forming the foundation for pre-trained large-scale models (PLMs). When encountering tasks not seen before, PLMs often utilize several…

机器学习 · 计算机科学 2024-11-05 Shengchao Hu , Wanru Zhao , Weixiong Lin , Li Shen , Ya Zhang , Dacheng Tao