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The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

Numerical Analysis · Mathematics 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

Dataset distillation (DD) aims to compress large-scale datasets into compact synthetic counterparts for efficient model training. However, existing DD methods exhibit substantial performance degradation on long-tailed datasets. We identify…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Ruixi Wu , Shaobo Wang , Jiahuan Chen , Zhiyuan Liu , Yicun Yang , Zhaorun Chen , Zekai Li , Kaixin Li , Xinming Wang , Hongzhu Yi , Kai Wang , Linfeng Zhang

We develop a probabilistic framework for deep learning based on the Deep Rendering Mixture Model (DRMM), a new generative probabilistic model that explicitly capture variations in data due to latent task nuisance variables. We demonstrate…

Machine Learning · Statistics 2016-12-07 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

Dynamic Time Wrapping (DTW) is a widely used algorithm for measuring similarities between two time series. It is especially valuable in a wide variety of applications, such as clustering, anomaly detection, classification, or video…

Machine Learning · Computer Science 2023-01-31 Hugo Lerogeron , Romain Picot-Clemente , Alain Rakotomamonjy , Laurent Heutte

Deep Metric Learning (DML) serves to learn an embedding function to project semantically similar data into nearby embedding space and plays a vital role in many applications, such as image retrieval and face recognition. However, the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Lizhao Liu , Shangxin Huang , Zhuangwei Zhuang , Ran Yang , Mingkui Tan , Yaowei Wang

Accurate approximation of probability measures is essential in numerical applications. This paper explores the quantization of probability measures using the maximum mean discrepancy (MMD) distance as a guiding metric. We first investigate…

Optimization and Control · Mathematics 2025-03-18 Zahra Mehraban , Alois Pichler

Person re-identification is challenging due to the large variations of pose, illumination, occlusion and camera view. Owing to these variations, the pedestrian data is distributed as highly-curved manifolds in the feature space, despite the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-02 Hailin Shi , Yang Yang , Xiangyu Zhu , Shengcai Liao , Zhen Lei , Weishi Zheng , Stan Z. Li

A fundamental notion of distance between train and test distributions from the field of domain adaptation is discrepancy distance. While in general hard to compute, here we provide the first set of provably efficient algorithms for testing…

Data Structures and Algorithms · Computer Science 2024-06-14 Gautam Chandrasekaran , Adam R. Klivans , Vasilis Kontonis , Konstantinos Stavropoulos , Arsen Vasilyan

Numerous researches have proved that deep neural networks (DNNs) can fit everything in the end even given data with noisy labels, and result in poor generalization performance. However, recent studies suggest that DNNs tend to gradually…

Machine Learning · Computer Science 2021-04-07 Hao Yang , Youzhi Jin , Ziyin Li , Deng-Bao Wang , Lei Miao , Xin Geng , Min-Ling Zhang

The Dynamic Mode Decomposition (DMD) extracted dynamic modes are the non-orthogonal eigenvectors of the matrix that best approximates the one-step temporal evolution of the multivariate samples. In the context of dynamical system analysis,…

Statistics Theory · Mathematics 2020-03-09 Arvind Prasadan , Raj Rao Nadakuditi

Deep metric learning is essential for visual recognition. The widely used pair-wise (or triplet) based loss objectives cannot make full use of semantical information in training samples or give enough attention to those hard samples during…

Computer Vision and Pattern Recognition · Computer Science 2019-03-22 Lin Xu , Han Sun , Yuai Liu

This paper considers the phase retrieval (PR) problem, which aims to reconstruct a signal from phaseless measurements such as magnitude or power spectrograms. PR is generally handled as a minimization problem involving a quadratic loss.…

Sound · Computer Science 2022-08-17 Pierre-Hugo Vial , Paul Magron , Thomas Oberlin , Cédric Févotte

Kernel embeddings of distributions and the Maximum Mean Discrepancy (MMD), the resulting distance between distributions, are useful tools for fully nonparametric two-sample testing and learning on distributions. However, it is rarely that…

Machine Learning · Statistics 2017-11-07 Ho Chung Leon Law , Christopher Yau , Dino Sejdinovic

The ubiquity of sequences in many domains enhances significant recent interest in sequence learning, for which a basic problem is how to measure the distance between sequences. Dynamic time warping (DTW) aligns two sequences by nonlinear…

Machine Learning · Computer Science 2017-03-06 Zhichen Gong , Huanhuan Chen

Differential machine learning (DML) is a recently proposed technique that uses samplewise state derivatives to regularize least square fits to learn conditional expectations of functionals of stochastic processes as functions of state…

Computational Finance · Quantitative Finance 2023-02-21 Arun Kumar Polala , Bernhard Hientzsch

Channel estimation and signal detection are essential steps to ensure the quality of end-to-end communication in orthogonal frequency-division multiplexing (OFDM) systems. In this paper, we develop a DDLSD approach, i.e., Data-driven Deep…

Information Theory · Computer Science 2021-07-29 Guangliang Pan , Zitong Liu , Wei Wang , Minglei Li

This paper proposes a model-driven deep learning (MDDL)-based channel estimation and feedback scheme for wideband millimeter-wave (mmWave) massive hybrid multiple-input multiple-output (MIMO) systems, where the angle-delay domain channels'…

Information Theory · Computer Science 2022-01-20 Xisuo Ma , Zhen Gao , Feifei Gao , Marco Di Renzo

Channel charting is a self-supervised learning technique whose objective is to reconstruct a map of the radio environment, called channel chart, by taking advantage of similarity relationships in high-dimensional channel state information.…

Information Theory · Computer Science 2023-09-08 Phillip Stephan , Florian Euchner , Stephan ten Brink

Denoising Diffusion Probabilistic Models (DDPM) are powerful state-of-the-art methods used to generate synthetic data from high-dimensional data distributions and are widely used for image, audio, and video generation as well as many more…

Machine Learning · Statistics 2025-04-25 Iskander Azangulov , George Deligiannidis , Judith Rousseau

Unsupervised learning of time series data, also known as temporal clustering, is a challenging problem in machine learning. Here we propose a novel algorithm, Deep Temporal Clustering (DTC), to naturally integrate dimensionality reduction…

Machine Learning · Computer Science 2018-02-06 Naveen Sai Madiraju , Seid M. Sadat , Dimitry Fisher , Homa Karimabadi