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The matrix factor model has drawn growing attention for its advantage in achieving two-directional dimension reduction simultaneously for matrix-structured observations. In this paper, we propose a simple iterative least squares algorithm…

Methodology · Statistics 2023-08-02 Yong He , Ran Zhao , Wen-Xin Zhou

Unsupervised learning of high-dimensional data is challenging due to irrelevant or noisy features obscuring underlying structures. It's common that only a few features, called the influential features, meaningfully define the clusters.…

Machine Learning · Computer Science 2026-03-26 Chen Ma , Wanjie Wang , Shuhao Fan

We present a domain decomposition-based deep learning method for solving elliptic and parabolic interface problems with discontinuous coefficients in two to ten dimensions. Our Multi-Activation Function (MAF) approach employs two…

Numerical Analysis · Mathematics 2025-12-23 Qijia Zhai

The \emph{receptive fields} of deep learning classification models determine the regions of the input data that have the most significance for providing correct decisions. The primary way to learn such receptive fields is to train the…

Machine Learning · Computer Science 2020-07-06 Ehsan Yaghoubi , Diana Borza , Aruna Kumar , Hugo Proença

Iterative refinement -- start with a random guess, then iteratively improve the guess -- is a useful paradigm for representation learning because it offers a way to break symmetries among equally plausible explanations for the data. This…

Machine Learning · Computer Science 2023-01-03 Michael Chang , Thomas L. Griffiths , Sergey Levine

We propose a deep metric learning model to create embedded sub-spaces with a well defined structure. A new loss function that imposes Gaussian structures on the output space is introduced to create these sub-spaces thus shaping the…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 Pedro D. Marrero Fernandez , Tsang Ing Ren , Tsang Ing Jyh , Fidel A. Guerrero Peña , Alexandre Cunha

This paper studies a problem of learning surface mesh via implicit functions in an emerging field of deep learning surface reconstruction, where implicit functions are popularly implemented as multi-layer perceptrons (MLPs) with rectified…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Jiabao Lei , Kui Jia

Despite their continued popularity, categorical approaches to affect recognition have limitations, especially in real-life situations. Dimensional models of affect offer important advantages for the recognition of subtle expressions and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Vassilios Vonikakis , Stefan Winkler

This paper advocates the use of implicit surface representation in autoencoder-based self-supervised 3D representation learning. The most popular and accessible 3D representation, i.e., point clouds, involves discrete samples of the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Siming Yan , Zhenpei Yang , Haoxiang Li , Chen Song , Li Guan , Hao Kang , Gang Hua , Qixing Huang

High dimensional categorical data are routinely collected in biomedical and social sciences. It is of great importance to build interpretable parsimonious models that perform dimension reduction and uncover meaningful latent structures from…

Methodology · Statistics 2023-01-31 Yuqi Gu , David B. Dunson

Deep implicit functions have shown remarkable shape modeling ability in various 3D computer vision tasks. One drawback is that it is hard for them to represent a 3D shape as multiple parts. Current solutions learn various primitives and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Chao Chen , Yu-Shen Liu , Zhizhong Han

In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification on the resulting lower dimensional projections. In this…

Statistics Theory · Mathematics 2025-08-05 Xin Bing , Marten Wegkamp

Deep acoustic models typically receive features in the first layer of the network, and process increasingly abstract representations in the subsequent layers. Here, we propose to feed the input features at multiple depths in the acoustic…

Computation and Language · Computer Science 2020-02-14 Andros Tjandra , Chunxi Liu , Frank Zhang , Xiaohui Zhang , Yongqiang Wang , Gabriel Synnaeve , Satoshi Nakamura , Geoffrey Zweig

In this study, we present a new approach to design a Least Mean Squares (LMS) predictor. This approach exploits the concept of deep neural networks and their supremacy in terms of performance and accuracy. The new LMS predictor is…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Lubna Shibly Mokatren , Ahmet Enis Cetin , Rashid Ansari

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Diffusion probabilistic models (DPMs) have achieved remarkable quality in image generation that rivals GANs'. But unlike GANs, DPMs use a set of latent variables that lack semantic meaning and cannot serve as a useful representation for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Konpat Preechakul , Nattanat Chatthee , Suttisak Wizadwongsa , Supasorn Suwajanakorn

Extreme Learning Machine (ELM) is an efficient and effective least-square-based learning algorithm for classification, regression problems based on single hidden layer feed-forward neural network (SLFN). It has been shown in the literature…

Machine Learning · Computer Science 2020-11-05 Ramesh Ragala , Bharadwaja kumar

We introduce a novel technique for designing color filter metasurfaces using a data-driven approach based on deep learning. Our innovative approach employs inverse design principles to identify highly efficient designs that outperform all…

The success of machine learning models relies heavily on effectively representing high-dimensional data. However, ensuring data representations capture human-understandable concepts remains difficult, often requiring the incorporation of…

Machine Learning · Statistics 2024-11-01 Jiayu Su , David A. Knowles , Raul Rabadan

Efficient deployment of Deep Neural Networks (DNNs), such as Large Language Models (LLMs), on tensor accelerators is essential for maximizing computational efficiency in modern AI systems. However, achieving this is challenging due to the…

Hardware Architecture · Computer Science 2025-12-11 Shuao Jia , Zichao Ling , Chen Bai , Kang Zhao , Jianwang Zhai