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This note presents a unified analysis of the identification of dynamical systems with low-rank constraints under high-dimensional scaling. This identification problem for dynamic systems are challenging due to the intrinsic dependency of…

统计理论 · 数学 2019-12-23 Junlin Li

We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backprojector pair; i.e., the backprojector is not the exact…

As recent advances in large-scale Text-to-Image (T2I) diffusion models have yielded remarkable high-quality image generation, diverse downstream Image-to-Image (I2I) applications have emerged. Despite the impressive results achieved by…

计算机视觉与模式识别 · 计算机科学 2024-10-11 Geonung Kim , Beomsu Kim , Eunhyeok Park , Sunghyun Cho

Implicit neural representations (INRs) have emerged as a promising approach for video storage and processing, showing remarkable versatility across various video tasks. However, existing methods often fail to fully leverage their…

图像与视频处理 · 电气工程与系统科学 2024-03-19 Xinjie Zhang , Ren Yang , Dailan He , Xingtong Ge , Tongda Xu , Yan Wang , Hongwei Qin , Jun Zhang

Benefiting from pre-trained text-to-image (T2I) diffusion models, real-world image super-resolution (Real-ISR) methods can synthesize rich and realistic details. However, due to the inherent stochasticity of T2I models, different noise…

计算机视觉与模式识别 · 计算机科学 2025-10-22 Rongyuan Wu , Lingchen Sun , Zhengqiang Zhang , Shihao Wang , Tianhe Wu , Qiaosi Yi , Shuai Li , Lei Zhang

This paper focuses on characterizing the fundamental performance limits that can be expected from an ideal decoder given a general model, ie, a general subset of "simple" vectors of interest. First, we extend the so-called notion of…

信息论 · 计算机科学 2014-12-10 Anthony Bourrier , Mike E. Davies , Tomer Peleg , Patrick Pérez , Rémi Gribonval

It is often possible to perform reduced order modelling by specifying linear subspace which accurately captures the dynamics of the system. This approach becomes especially appealing when linear subspace explicitly depends on parameters of…

机器学习 · 计算机科学 2026-04-17 Vladimir Fanaskov , Vladislav Trifonov , Alexander Rudikov , Ekaterina Muravleva , Ivan Oseledets

High-dimensional/high-fidelity nonlinear dynamical systems appear naturally when the goal is to accurately model real-world phenomena. Many physical properties are thereby encoded in the internal differential structure of these resulting…

数值分析 · 数学 2024-03-14 Peter Benner , Serkan Gugercin , Steffen W. R. Werner

Experimental evidence indicates that simple models outperform complex deep networks on many unsupervised similarity tasks. We provide a simple yet rigorous explanation for this behaviour by introducing the concept of an optimal…

人工智能 · 计算机科学 2018-05-10 Vitalii Zhelezniak , Dan Busbridge , April Shen , Samuel L. Smith , Nils Y. Hammerla

Image-to-Image (I2I) multi-domain translation models are usually evaluated also using the quality of their semantic interpolation results. However, state-of-the-art models frequently show abrupt changes in the image appearance during…

计算机视觉与模式识别 · 计算机科学 2021-06-17 Yahui Liu , Enver Sangineto , Yajing Chen , Linchao Bao , Haoxian Zhang , Nicu Sebe , Bruno Lepri , Wei Wang , Marco De Nadai

Diffusion models have gained attention for their ability to represent complex distributions and incorporate uncertainty, making them ideal for robust predictions in the presence of noisy or incomplete data. In this study, we develop and…

机器学习 · 计算机科学 2024-11-05 Yilin Zhuang , Sibo Cheng , Karthik Duraisamy

The performance of objective image quality assessment (IQA) models has been evaluated primarily by comparing model predictions to human quality judgments. Perceptual datasets gathered for this purpose have provided useful benchmarks for…

图像与视频处理 · 电气工程与系统科学 2021-01-25 Keyan Ding , Kede Ma , Shiqi Wang , Eero P. Simoncelli

Subspace recycling techniques have been used quite successfully for the acceleration of iterative methods for solving large-scale linear systems. These methods often work by augmenting a solution subspace generated iteratively by a known…

数值分析 · 数学 2021-05-18 Ronny Ramlau , Kirk M. Soodhalter , Victoria Hutterer

Inferring behavior model of a running software system is quite useful for several automated software engineering tasks, such as program comprehension, anomaly detection, and testing. Most existing dynamic model inference techniques are…

机器学习 · 计算机科学 2020-08-31 Mohammad Jafar Mashhadi , Hadi Hemmati

While diffusion language models (DLMs) have achieved competitive performance in text generation, improving their reasoning ability with reinforcement learning remains an active research area. Here, we introduce d2, a reasoning framework…

机器学习 · 计算机科学 2026-02-10 Guanghan Wang , Gilad Turok , Yair Schiff , Marianne Arriola , Volodymyr Kuleshov

Machine learning systems, especially with overparameterized deep neural networks, can generalize to novel test instances drawn from the same distribution as the training data. However, they fare poorly when evaluated on out-of-support test…

机器学习 · 计算机科学 2023-04-28 Aviv Netanyahu , Abhishek Gupta , Max Simchowitz , Kaiqing Zhang , Pulkit Agrawal

For a parameter-unknown linear descriptor system, this paper proposes data-driven methods to testify the system's type and controllability and then to stabilize it. First, a data-based condition is developed to identify whether this unknown…

系统与控制 · 电气工程与系统科学 2022-01-03 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

Denoising diffusion models have emerged as the go-to generative framework for solving inverse problems in imaging. A critical concern regarding these models is their performance on out-of-distribution tasks, which remains an under-explored…

计算机视觉与模式识别 · 计算机科学 2025-01-29 Riccardo Barbano , Alexander Denker , Hyungjin Chung , Tae Hoon Roh , Simon Arridge , Peter Maass , Bangti Jin , Jong Chul Ye

Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

机器学习 · 计算机科学 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

Inter prediction is an important module in video coding for temporal redundancy removal, where similar reference blocks are searched from previously coded frames and employed to predict the block to be coded. Although traditional video…

计算机视觉与模式识别 · 计算机科学 2019-05-17 Jiaying Liu , Sifeng Xia , Wenhan Yang