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Large-scale deep neural networks consume expensive training costs, but the training results in less-interpretable weight matrices constructing the networks. Here, we propose a mode decomposition learning that can interpret the weight…

机器学习 · 计算机科学 2023-04-13 Chan Li , Haiping Huang

A large amount of research on Convolutional Neural Networks has focused on flat Classification in the multi-class domain. In the real world, many problems are naturally expressed as problems of hierarchical classification, in which the…

计算机视觉与模式识别 · 计算机科学 2020-05-19 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

机器学习 · 计算机科学 2017-07-06 Miguel Á. Carreira-Perpiñán

The groundbreaking performance of deep neural networks (NNs) promoted a surge of interest in providing a mathematical basis to deep learning theory. Low-rank tensor decompositions are specially befitting for this task due to their close…

机器学习 · 计算机科学 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

统计方法学 · 统计学 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

Sequence model based NLP applications can be large. Yet, many applications that benefit from them run on small devices with very limited compute and storage capabilities, while still having run-time constraints. As a result, there is a need…

计算与语言 · 计算机科学 2020-10-08 Urmish Thakker , Jesse Beu , Dibakar Gope , Ganesh Dasika , Matthew Mattina

Compression of a neural network can help in speeding up both the training and the inference of the network. In this research, we study applying compression using low rank decomposition on network layers. Our research demonstrates that to…

计算机视觉与模式识别 · 计算机科学 2023-09-25 Walid Ahmed , Habib Hajimolahoseini , Austin Wen , Yang Liu

Neural Radiance Field (NeRF) has emerged as a compelling method to represent 3D objects and scenes for photo-realistic rendering. However, its implicit representation causes difficulty in manipulating the models like the explicit mesh…

计算机视觉与模式识别 · 计算机科学 2022-10-14 Jiaxiang Tang , Xiaokang Chen , Jingbo Wang , Gang Zeng

Pedestrian Attribute Recognition (PAR) focuses on identifying various attributes in pedestrian images, with key applications in person retrieval, suspect re-identification, and soft biometrics. However, Deep Neural Networks (DNNs) for PAR…

We develop tractable convex relaxations for rank-constrained quadratic optimization problems over $n \times m$ matrices, a setting for which tractable relaxations are typically only available when the objective or constraints admit spectral…

最优化与控制 · 数学 2026-05-22 Ryan Cory-Wright , Jean Pauphilet

Deep neural networks employ specialized architectures for vision, sequential and language tasks, yet this proliferation obscures their underlying commonalities. We introduce a unified matrix-order framework that casts convolutional,…

机器学习 · 计算机科学 2025-07-24 Yuzhou Zhu

Latest least squares regression (LSR) methods mainly try to learn slack regression targets to replace strict zero-one labels. However, the difference of intra-class targets can also be highlighted when enlarging the distance between…

计算机视觉与模式识别 · 计算机科学 2019-10-09 Zhe Chen , Xiao-Jun Wu , Josef Kittler

Dimensionality reduction (DR) is often used as a preprocessing step in classification, but usually one first fixes the DR mapping, possibly using label information, and then learns a classifier (a filter approach). Best performance would be…

机器学习 · 计算机科学 2014-05-27 Weiran Wang , Miguel Á. Carreira-Perpiñán

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

机器学习 · 计算机科学 2019-01-25 Sohrab Ferdowsi

Lifted Relational Neural Networks (LRNNs) describe relational domains using weighted first-order rules which act as templates for constructing feed-forward neural networks. While previous work has shown that using LRNNs can lead to…

机器学习 · 计算机科学 2017-10-09 Gustav Sourek , Martin Svatos , Filip Zelezny , Steven Schockaert , Ondrej Kuzelka

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

机器学习 · 计算机科学 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Lossy compression introduces complex compression artifacts, particularly blocking artifacts, ringing effects and blurring. Existing algorithms either focus on removing blocking artifacts and produce blurred output, or restore sharpened…

计算机视觉与模式识别 · 计算机科学 2016-08-10 Ke Yu , Chao Dong , Chen Change Loy , Xiaoou Tang

Deployment of neural networks on resource-constrained devices demands models that are both compact and robust to adversarial inputs. However, compression and adversarial robustness often conflict. In this work, we introduce a dynamical…

机器学习 · 计算机科学 2025-09-24 Steffen Schotthöfer , H. Lexie Yang , Stefan Schnake

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

机器学习 · 计算机科学 2026-03-03 Maryam Bagherian

Most real-world problems that machine learning algorithms are expected to solve face the situation with 1) unknown data distribution; 2) little domain-specific knowledge; and 3) datasets with limited annotation. We propose Non-Parametric…

机器学习 · 计算机科学 2022-09-20 Zhiying Jiang , Yiqin Dai , Ji Xin , Ming Li , Jimmy Lin
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