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Tensor networks are an efficient platform to represent interesting quantum states of matter as well as to compute physical observables and information-theoretic quantities. We present a general protocol to construct fixed-point tensor…

Strongly Correlated Electrons · Physics 2025-08-01 Bader Aldossari , Sergey Blinov , Zhu-Xi Luo

Deep Reinforcement Learning (DRL) has become a powerful tool for developing control policies in queueing networks, but the common use of Multi-layer Perceptron (MLP) neural networks in these applications has significant drawbacks. MLP…

Machine Learning · Computer Science 2025-01-22 Jerrod Wigmore , Brooke Shrader , Eytan Modiano

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…

Machine Learning · Computer Science 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

This work aims to help resolve the two main stumbling blocks in the application of Deep Neural Networks (DNNs), that is, the exceedingly large number of trainable parameters and their physical interpretability. This is achieved through a…

Machine Learning · Computer Science 2020-01-07 Giuseppe G. Calvi , Ahmad Moniri , Mahmoud Mahfouz , Qibin Zhao , Danilo P. Mandic

Graph Neural Networks (GNNs) effectively learn from relational data by leveraging graph symmetries. However, many real-world systems -- such as biological or social networks -- feature multi-way interactions that GNNs fail to capture.…

Machine Learning · Computer Science 2025-11-21 Mathilde Papillon , Guillermo Bernárdez , Claudio Battiloro , Nina Miolane

Tensor, a multi-dimensional data structure, has been exploited recently in the machine learning community. Traditional machine learning approaches are vector- or matrix-based, and cannot handle tensorial data directly. In this paper, we…

Machine Learning · Computer Science 2020-01-03 Cong Chen , Kim Batselier , Wenjian Yu , Ngai Wong

This paper investigates deep neural network (DNN) compression from the perspective of compactly representing and storing trained parameters. We explore the previously overlooked opportunity of cross-layer architecture-agnostic…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 Yuezhou Sun , Wenlong Zhao , Lijun Zhang , Xiao Liu , Hui Guan , Matei Zaharia

We develop a Deep-Text Recurrent Network (DTRN) that regards scene text reading as a sequence labelling problem. We leverage recent advances of deep convolutional neural networks to generate an ordered high-level sequence from a whole word…

Computer Vision and Pattern Recognition · Computer Science 2015-12-22 Pan He , Weilin Huang , Yu Qiao , Chen Change Loy , Xiaoou Tang

We present a novel deep architecture termed templateNet for depth based object instance recognition. Using an intermediate template layer we exploit prior knowledge of an object's shape to sparsify the feature maps. This has three…

Computer Vision and Pattern Recognition · Computer Science 2015-11-11 Ujwal Bonde , Vijay Badrinarayanan , Roberto Cipolla , Minh-Tri Pham

Deep Neural Networks (DNN) have demonstrated superior ability to extract high level embedding vectors from low level features. Despite the success, the serving time is still the bottleneck due to expensive run-time computation of multiple…

Machine Learning · Computer Science 2017-03-16 Jie Zhu , Ying Shan , JC Mao , Dong Yu , Holakou Rahmanian , Yi Zhang

Tensor network states provide an efficient class of states that faithfully capture strongly correlated quantum models and systems in classical statistical mechanics. While tensor networks can now be seen as becoming standard tools in the…

Quantum Physics · Physics 2022-09-27 A. Nietner , B. Vanhecke , F. Verstraete , J. Eisert , L. Vanderstraeten

Hyperspectral image classification plays a pivotal role in precision agriculture, providing accurate insights into crop health monitoring, disease detection, and soil analysis. However, traditional methods struggle with high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Fuyin Ye , Erwen Yao , Jianyong Chen , Fengmei He , Junxiang Zhang , Lihao Ni

A novel graph-to-tree conversion mechanism called the deep-tree generation (DTG) algorithm is first proposed to predict text data represented by graphs. The DTG method can generate a richer and more accurate representation for nodes (or…

Computation and Language · Computer Science 2018-09-06 Fenxiao Chen , Bin Wang , C. -C. Jay Kuo

It is known that describing or calculating the conditional probabilities of multiple events is exponentially expensive. In this work, Bayesian tensor network (BTN) is proposed to efficiently capture the conditional probabilities of multiple…

Machine Learning · Statistics 2020-01-08 Shi-Ju Ran

Modern neural networks have revolutionized the fields of computer vision (CV) and Natural Language Processing (NLP). They are widely used for solving complex CV tasks and NLP tasks such as image classification, image generation, and machine…

Machine Learning · Computer Science 2023-07-25 Xingyi Liu , Keshab K. Parhi

The ever-increasing data demand craves advancements in high-speed and energy-efficient computing hardware. Analog optical neural network (ONN) processors have emerged as a promising solution, offering benefits in bandwidth and energy…

Optics · Physics 2026-04-07 Chao Luan , Ronald Davis , Zaijun Chen , Dirk Englund , Ryan Hamerly

Tensor networks provide compact and scalable representations of high-dimensional data, enabling efficient computation in fields such as quantum physics, numerical partial differential equations (PDEs), and machine learning. This paper…

Numerical Analysis · Mathematics 2025-08-28 Julia Wei , Alec Dektor , Chungen Shen , Zaiwen Wen , Chao Yang

Over the past decade, deep hypercomplex-inspired networks have enhanced feature extraction for image classification by enabling weight sharing across input channels. Recent works make it possible to improve representational capabilities by…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Nazmul Shahadat , Anthony S. Maida

We introduce a unified theoretical framework for the rigorous analysis and systematic construction of deep neural networks (DNNs). This framework addresses a gap in existing theory by explicitly modeling the structure of tensor operations…

Tree tensor network states (TTNS) decompose the system wavefunction to the product of low-rank tensors based on the tree topology, serving as the foundation of the multi-layer multi-configuration time-dependent Hartree (ML-MCTDH) method. In…

Quantum Physics · Physics 2024-08-29 Weitang Li , Jiajun Ren , Hengrui Yang , Haobin Wang , Zhigang Shuai
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