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Once developed for quantum theory, tensor networks have been established as a successful machine learning paradigm. Now, they have been ported back to the quantum realm in the emerging field of quantum machine learning to assess problems…

Quantum Physics · Physics 2023-08-09 Hans-Martin Rieser , Frank Köster , Arne Peter Raulf

Quantum kernels hold great promise for offering computational advantages over classical learners, with the effectiveness of these kernels closely tied to the design of the quantum feature map. However, the challenge of designing effective…

Quantum Physics · Physics 2024-01-23 Cong Lei , Yuxuan Du , Peng Mi , Jun Yu , Tongliang Liu

Modern deep learning has enabled unprecedented achievements in various domains. Nonetheless, employment of machine learning for wave function representations is focused on more traditional architectures such as restricted Boltzmann machines…

Quantum Physics · Physics 2019-02-20 Yoav Levine , Or Sharir , Nadav Cohen , Amnon Shashua

Machine-learning models consist of kernels, which are algorithms applying operations on tensors -- data indexed by a linear combination of natural numbers. Examples of kernels include convolutions, transpositions, and vectorial products.…

Machine Learning · Computer Science 2024-07-16 Michael Canesche , Gaurav Verma , Fernando Magno Quintao Pereira

We propose a novel deep structured learning framework for event temporal relation extraction. The model consists of 1) a recurrent neural network (RNN) to learn scoring functions for pair-wise relations, and 2) a structured support vector…

Computation and Language · Computer Science 2019-09-26 Rujun Han , I-Hung Hsu , Mu Yang , Aram Galstyan , Ralph Weischedel , Nanyun Peng

Deep Neural Networks (DNNs) have been successfully applied to a wide range of problems. However, two main limitations are commonly pointed out. The first one is that they require long time to design. The other is that they heavily rely on…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Adriano Vinhas , João Correia , Penousal Machado

Performing machine learning on structured data is complicated by the fact that such data does not have vectorial form. Therefore, multiple approaches have emerged to construct vectorial representations of structured data, from kernel and…

Machine Learning · Computer Science 2019-05-16 Benjamin Paaßen , Claudio Gallicchio , Alessio Micheli , Alessandro Sperduti

In this paper I propose a generative model of supervised learning that unifies two approaches to supervised learning, using a concept of a correct loss function. Addressing two measurability problems, which have been ignored in statistical…

Statistics Theory · Mathematics 2025-04-29 Hông Vân Lê

Decompositions of tensors into factor matrices, which interact through a core tensor, have found numerous applications in signal processing and machine learning. A more general tensor model which represents data as an ordered network of…

Numerical Analysis · Computer Science 2016-09-30 Anh-Huy Phan , Andrzej Cichocki , Andre Uschmajew , Petr Tichavsky , George Luta , Danilo Mandic

Latent space models are widely used for analyzing high-dimensional discrete data matrices, such as patient-feature matrices in electronic health records (EHRs), by capturing complex dependence structures through low-dimensional embeddings.…

Machine Learning · Computer Science 2026-02-19 Weijing Tang , Ming Yuan , Zongqi Xia , Tianxi Cai

The alignment of serial-section electron microscopy (ssEM) images is critical for efforts in neuroscience that seek to reconstruct neuronal circuits. However, each ssEM plane contains densely packed structures that vary from one section to…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Inwan Yoo , David G. C. Hildebrand , Willie F. Tobin , Wei-Chung Allen Lee , Won-Ki Jeong

Deep learning methods have predominantly been applied to large artificial neural networks. Despite their state-of-the-art performance, these large networks typically do not generalize well to datasets with limited sample sizes. In this…

Machine Learning · Statistics 2016-11-17 Eric Strobl , Shyam Visweswaran

Despite the remarkable performance of supervised medical image segmentation models, relying on a large amount of labeled data is impractical in real-world situations. Semi-supervised learning approaches aim to alleviate this challenge using…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Yunyao Lu , Yihang Wu , Ahmad Chaddad , Tareef Daqqaq , Reem Kateb

Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Yuxiang Dai , Peixian Zhuang

In this letter, we propose a novel semi-supervised subspace clustering method, which is able to simultaneously augment the initial supervisory information and construct a discriminative affinity matrix. By representing the limited amount of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou

In the last few years, various types of machine learning algorithms, such as Support Vector Machine (SVM), Support Vector Regression (SVR), and Non-negative Matrix Factorization (NMF) have been introduced. The kernel approach is an…

Machine Learning · Computer Science 2022-12-16 Sajad Fathi Hafshejani , Zahra Moberfard

Unsupervised structure learning in high-dimensional time series data has attracted a lot of research interests. For example, segmenting and labelling high dimensional time series can be helpful in behavior understanding and medical…

Machine Learning · Computer Science 2017-05-25 Hao Liu , Haoli Bai , Lirong He , Zenglin Xu

Accurate image segmentation plays a crucial role in medical image analysis, yet it faces great challenges of various shapes, diverse sizes, and blurry boundaries. To address these difficulties, square kernel-based encoder-decoder…

Image and Video Processing · Electrical Eng. & Systems 2022-01-02 Qian Yu , Lei Qi , Luping Zhou , Lei Wang , Yilong Yin , Yinghuan Shi , Wuzhang Wang , Yang Gao

Deep learning has shown significant potential in diagnosing neurodegenerative diseases from MRI data. However, most existing methods rely heavily on large volumes of labeled data and often yield representations that lack interpretability.…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Fangqi Cheng , Yingying Zhao , Xiaochen Yang

Originating from condensed matter physics, tensor networks are compact representations of high-dimensional tensors. In this paper, the prowess of tensor networks is demonstrated on the particular task of one-class anomaly detection. We…

Machine Learning · Computer Science 2020-06-18 Jinhui Wang , Chase Roberts , Guifre Vidal , Stefan Leichenauer