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Embeddings of high-dimensional data are widely used to explore data, to verify analysis results, and to communicate information. Their explanation, in particular with respect to the input attributes, is often difficult. With linear projects…

机器学习 · 计算机科学 2021-08-20 Jan-Tobias Sohns , Michaela Schmitt , Fabian Jirasek , Hans Hasse , Heike Leitte

Physics-based models often involve large systems of parametrized partial differential equations, where design parameters control various properties. However, high-fidelity simulations of such systems on large domains or with high grid…

计算物理 · 物理学 2025-05-15 Diba Behnoudfar

In meteorology, finding similar weather patterns or analogs in historical datasets can be useful for data assimilation, forecasting, and postprocessing. In climate science, analogs in historical and climate projection data are used for…

机器学习 · 计算机科学 2025-04-29 Geert De Paepe , Lesley De Cruz

Image restoration is a long-standing problem in low-level computer vision with many interesting applications. We describe a flexible learning framework based on the concept of nonlinear reaction diffusion models for various image…

计算机视觉与模式识别 · 计算机科学 2016-08-23 Yunjin Chen , Thomas Pock

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

信号处理 · 电气工程与系统科学 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong

Dimensionality Reduction (DR) techniques such as t-SNE and UMAP are popular for transforming complex datasets into simpler visual representations. However, while effective in uncovering general dataset patterns, these methods may introduce…

人机交互 · 计算机科学 2024-04-19 Parisa Salmanian , Angelos Chatzimparmpas , Ali Can Karaca , Rafael M. Martins

In many scientific disciplines, we are interested in inferring the nonlinear dynamical system underlying a set of observed time series, a challenging task in the face of chaotic behavior and noise. Previous deep learning approaches toward…

Due to the curse of dimensionality and the limitation on training data, approximating high-dimensional functions is a very challenging task even for powerful deep neural networks. Inspired by the Nonlinear Level set Learning (NLL) method…

机器学习 · 计算机科学 2021-12-03 Yuankai Teng , Zhu Wang , Lili Ju , Anthony Gruber , Guannan Zhang

In this era of data deluge, many signal processing and machine learning tasks are faced with high-dimensional datasets, including images, videos, as well as time series generated from social, commercial and brain network interactions. Their…

机器学习 · 计算机科学 2018-03-30 Yanning Shen , Panagiotis A. Traganitis , Georgios B. Giannakis

Deep learning models are state-of-the-art in compressive spectral imaging (CSI) recovery. These methods use a deep neural network (DNN) as an image generator to learn non-linear mapping from compressed measurements to the spectral image.…

图像与视频处理 · 电气工程与系统科学 2022-09-12 Brayan Monroy , Jorge Bacca , Henry Arguello

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing.…

数值分析 · 数学 2014-02-07 Bubacarr Bah , Luca Baldassarre , Volkan Cevher

We consider a problem that recovers a 2-D object and the underlying view angle distribution from its noisy projection tilt series taken at unknown view angles. Traditional approaches rely on the estimation of the view angles of the…

信号处理 · 电气工程与系统科学 2019-05-27 Lingda Wang , Zhizhen Zhao

Trained with a sufficiently large training and testing dataset, Deep Neural Networks (DNNs) are expected to generalize. However, inputs may deviate from the training dataset distribution in real deployments. This is a fundamental issue with…

机器学习 · 计算机科学 2021-10-07 Yan Xiao , Yun Lin , Ivan Beschastnikh , Changsheng Sun , David S. Rosenblum , Jin Song Dong

Detecting anomalies in multivariate time-series data is essential in many real-world applications. Recently, various deep learning-based approaches have shown considerable improvements in time-series anomaly detection. However, existing…

机器学习 · 计算机科学 2022-01-31 Kyeong-Joong Jeong , Yong-Min Shin

A fundamental question in designing lossy data compression schemes is how well one can do in comparison with the rate-distortion function, which describes the known theoretical limits of lossy compression. Motivated by the empirical success…

信息论 · 计算机科学 2024-03-05 Eric Lei , Hamed Hassani , Shirin Saeedi Bidokhti

We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the…

数值分析 · 数学 2016-02-17 Alessandro Alla , J. Nathan Kutz

We propose a visualization technique that utilizes neural network embeddings and a generative network to reconstruct original data. This method allows for independent manipulation of individual image embeddings through its non-parametric…

机器学习 · 计算机科学 2023-02-22 Halid Ziya Yerebakan , Gerardo Hermosillo Valadez

Deep Neural Networks (DNNs) demonstrate remarkable capabilities in learning complex hierarchical data representations, but the nature of these representations remains largely unknown. Existing global explainability methods, such as Network…

机器学习 · 计算机科学 2024-01-19 Kirill Bykov , Laura Kopf , Shinichi Nakajima , Marius Kloft , Marina M. -C. Höhne

We propose DiMeR, a novel geometry-texture disentangled feed-forward model with 3D supervision for sparse-view mesh reconstruction. Existing methods confront two persistent obstacles: (i) textures can conceal geometric errors, i.e.,…

计算机视觉与模式识别 · 计算机科学 2025-05-27 Lutao Jiang , Jiantao Lin , Kanghao Chen , Wenhang Ge , Xin Yang , Yifan Jiang , Yuanhuiyi Lyu , Xu Zheng , Yinchuan Li , Yingcong Chen

Diffusion-based inverse algorithms have shown remarkable performance across various inverse problems, yet their reliance on numerous denoising steps incurs high computational costs. While recent developments of fast diffusion ODE solvers…

计算机视觉与模式识别 · 计算机科学 2025-10-22 Jiawei Zhang , Ziyuan Liu , Leon Yan , Gen Li , Yuantao Gu