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We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn from an invariant random matrix…

Information Theory · Computer Science 2017-05-12 Burak Çakmak , Manfred Opper , Ole Winther , Bernard H. Fleury

Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that reduces complexity and facilitates exploration of behavioral…

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

Machine Learning · Computer Science 2023-01-31 William Gilpin

Image coding for machines (ICM) aims to compress images to support downstream AI analysis instead of human perception. For ICM, developing a unified codec to reduce information redundancy while empowering the compressed features to support…

Computer Vision and Pattern Recognition · Computer Science 2023-05-05 Ruoyu Feng , Jinming Liu , Xin Jin , Xiaohan Pan , Heming Sun , Zhibo Chen

Unlike traditional distributed machine learning, federated learning stores data locally for training and then aggregates the models on the server, which solves the data security problem that may arise in traditional distributed machine…

Machine Learning · Computer Science 2023-01-02 Wan Jiang , Gang Liu , Xiaofeng Chen , Yipeng Zhou

Incorporating semantic information into the codecs during image compression can significantly reduce the repetitive computation of fundamental semantic analysis (such as object recognition) in client-side applications. The same practice…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Sihui Luo , Yezhou Yang , Mingli Song

Image classification is a core task of intelligent sensing, conventionally follows a sequential imaging then processing pipeline. However, redundant high-dimensional image reconstruction is inherently inefficient, especially in photon…

In this paper, a new class of circulant matrices built from deterministic sequences is proposed for convolution-based compressed sensing (CS). In contrast to random convolution, the coefficients of the underlying filter are given by the…

Information Theory · Computer Science 2015-06-11 Kezhi Li , Lu Gan , Cong Ling

The process of discovering equations from data lies at the heart of physics and in many other areas of research, including mathematical ecology and epidemiology. Recently, machine learning methods known as symbolic regression emerged as a…

Machine Learning · Computer Science 2026-01-21 Beatriz R. Brum , Luiza Lober , Isolde Previdelli , Francisco A. Rodrigues

Dimensionality reduction, a form of compression, can simplify representations of information to increase efficiency and reveal general patterns. Yet, this simplification also forfeits information, thereby reducing representational capacity.…

In this study, we employ the recently developed recurrence microstate probabilities as features to improve accuracy of several well-established machine learning (ML) algorithms. These algorithms are applied to classify discrete and…

Chaotic Dynamics · Physics 2025-12-15 J. V. M. Silveira , H. C. Costa , G. S. Spezzatto , T. L. Prado , S. R. Lopes

Probabilistic generative modeling of data distributions can potentially exploit hidden information which is useful for discriminative classification. This observation has motivated the development of approaches that couple generative and…

Machine Learning · Computer Science 2012-04-17 Xiong Li , Tai Sing Lee , Yuncai Liu

Representation learning has been proven to play an important role in the unprecedented success of machine learning models in numerous tasks, such as machine translation, face recognition and recommendation. The majority of existing…

Machine Learning · Computer Science 2020-09-24 Wentao Wang , Guowei Xu , Wenbiao Ding , Gale Yan Huang , Guoliang Li , Jiliang Tang , Zitao Liu

While representation learning has been central to the rise of machine learning and artificial intelligence, a key problem remains in making the learned representations meaningful. For this, the typical approach is to regularize the learned…

Machine Learning · Computer Science 2024-04-11 Dedi Wang , Yihang Wang , Luke Evans , Pratyush Tiwary

We present a novel method for the classification and reconstruction of time dependent, high-dimensional data using sparse measurements, and apply it to the flow around a cylinder. Assuming the data lies near a low dimensional manifold…

Dynamical Systems · Mathematics 2015-06-03 Ido Bright , Guang Lin , J. Nathan Kutz

Food image classification systems play a crucial role in health monitoring and diet tracking through image-based dietary assessment techniques. However, existing food recognition systems rely on static datasets characterized by a…

Image and Video Processing · Electrical Eng. & Systems 2024-04-12 Justin Yang , Zhihao Duan , Jiangpeng He , Fengqing Zhu

Understanding how systems evolve over time often requires discovering the differential equations that govern their behavior. Automatically learning these equations from experimental data is challenging when the data are noisy or limited,…

Data Analysis, Statistics and Probability · Physics 2025-11-19 Oriol Cabanas-Tirapu , Sergio Cobo-Lopez , Savannah E. Sanchez , Forest L. Rohwer , Marta Sales-Pardo , Roger Guimerà

We propose a flexible and theoretically supported framework for scalable nonnegative matrix factorization. The goal is to find nonnegative low-rank components directly from compressed measurements, accessing the original data only once or…

Optimization and Control · Mathematics 2026-02-17 Abraar Chaudhry , Elizaveta Rebrova

We propose a novel, lightweight supervised dictionary learning framework for text classification based on data compression and representation. This two-phase algorithm initially employs the Lempel-Ziv-Welch (LZW) algorithm to construct a…

Computation and Language · Computer Science 2024-05-06 Li Wan , Tansu Alpcan , Margreta Kuijper , Emanuele Viterbo

Few-shot image classification remains challenging due to the scarcity of labeled training examples. Augmenting them with synthetic data has emerged as a promising way to alleviate this issue, but models trained on synthetic samples often…

Machine Learning · Computer Science 2025-06-26 Lan-Cuong Nguyen , Quan Nguyen-Tri , Bang Tran Khanh , Dung D. Le , Long Tran-Thanh , Khoat Than
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