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We consider the problem of learning low-rank tensors from partial observations with structural constraints, and propose a novel factorization of such tensors, which leads to a simpler optimization problem. The resulting problem is an…

Machine Learning · Computer Science 2023-05-16 Jayadev Naram , Tanmay Kumar Sinha , Pawan Kumar

We show how to replace the O(2^n) coalition enumeration over n features behind Shapley values and Shapley-style interaction indices with a few-evaluation scheme on a tensor-network (TN) surrogate: TN-SHAP. The key idea is to represent a…

Machine Learning · Computer Science 2025-10-29 Farzaneh Heidari , Chao Li , Guillaume Rabusseau

Recent years have witnessed the popularity and success of graph neural networks (GNN) in various scenarios. To obtain data-specific GNN architectures, researchers turn to neural architecture search (NAS), which has made impressive success…

Machine Learning · Computer Science 2021-04-21 Huan Zhao , Quanming Yao , Weiwei Tu

Tensor completion is an extension of matrix completion aimed at recovering a multiway data tensor by leveraging a given subset of its entries (observations) and the pattern of observation. The low-rank assumption is key in establishing a…

Numerical Analysis · Mathematics 2026-03-12 Shakir Showkat Sofi , Lieven De Lathauwer

Differentiable neural architecture search methods became popular in recent years, mainly due to their low search costs and flexibility in designing the search space. However, these methods suffer the difficulty in optimizing network, so…

Computer Vision and Pattern Recognition · Computer Science 2020-03-27 Yuhui Xu , Lingxi Xie , Xiaopeng Zhang , Xin Chen , Bowen Shi , Qi Tian , Hongkai Xiong

The automation of neural architecture design has been a coveted alternative to human experts. Recent works have small search space, which is easier to optimize but has a limited upper bound of the optimal solution. Extra human design is…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Yuanzheng Ci , Chen Lin , Ming Sun , Boyu Chen , Hongwen Zhang , Wanli Ouyang

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

Machine Learning · Statistics 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

The problem of recovering a low $n$-rank tensor is an extension of sparse recovery problem from the low dimensional space (matrix space) to the high dimensional space (tensor space) and has many applications in computer vision and graphics…

Optimization and Control · Mathematics 2014-04-09 Min Zhang , Lei Yang , Zheng-Hai Huang

Embedding models have become essential tools in both natural language processing and computer vision, enabling efficient semantic search, recommendation, clustering, and more. However, the high memory and computational demands of…

Computation and Language · Computer Science 2024-11-26 Jiayi Chen , Chen Wu , Shaoqun Zhang , Nan Li , Liangjie Zhang , Qi Zhang

Large Neighborhood Search (LNS) is a common heuristic in combinatorial optimization that iteratively searches over a large neighborhood of the current solution for a better one. Recently, neural network-based LNS solvers have achieved great…

Machine Learning · Computer Science 2025-08-25 Shengyu Feng , Zhiqing Sun , Yiming Yang

Modern deep neural networks are powerful predictive tools yet often lack valid inference for causal parameters, such as treatment effects or entire survival curves. While frameworks like Double Machine Learning (DML) and Targeted Maximum…

Machine Learning · Computer Science 2025-07-17 Yi Li , David Mccoy , Nolan Gunter , Kaitlyn Lee , Alejandro Schuler , Mark van der Laan

Tensor train (TT) decomposition is a powerful representation for high-order tensors, which has been successfully applied to various machine learning tasks in recent years. However, since the tensor product is not commutative, permutation of…

Numerical Analysis · Computer Science 2017-05-31 Qibin Zhao , Masashi Sugiyama , Andrzej Cichocki

Tensors, especially higher-order tensors, are typically represented in low-rank formats to preserve the main information of the high-dimensional data while saving memory space. In practice, only a small fraction elements in high-dimensional…

Numerical Analysis · Mathematics 2025-11-12 Chuanfu Xiao , Jiaxin Zeng

Tensor networks are factorisations of high rank tensors into networks of lower rank tensors and have primarily been used to analyse quantum many-body problems. Tensor networks have seen a recent surge of interest in relation to supervised…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Raghavendra Selvan , Silas Ørting , Erik B Dam

Targeted maximum likelihood estimation (TMLE) is a general method for estimating parameters in semiparametric and nonparametric models. Each iteration of TMLE involves fitting a parametric submodel that targets the parameter of interest. We…

Methodology · Statistics 2014-06-03 Iván Díaz , Michael Rosenblum

Temporal link prediction in dynamic graphs is a critical task with applications in diverse domains such as social networks, recommendation systems, and e-commerce platforms. While existing Temporal Graph Neural Networks (T-GNNs) have…

Artificial Intelligence · Computer Science 2025-07-21 Haoyang Li , Yuming Xu , Yiming Li , Hanmo Liu , Darian Li , Chen Jason Zhang , Lei Chen , Qing Li

Recently, Tensor Ring Networks (TRNs) have been applied in deep networks, achieving remarkable successes in compression ratio and accuracy. Although highly related to the performance of TRNs, rank selection is seldom studied in previous…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Nannan Li , Yu Pan , Yaran Chen , Zixiang Ding , Dongbin Zhao , Zenglin Xu

Arguably, the most fundamental problem in Network Science is finding structure within a complex network. One approach is to partition the nodes into communities that are more densely connected than one expects in a random network. "The"…

Computational Physics · Physics 2024-11-06 Tania Ghosh , R. K. P. Zia , Kevin E. Bassler

We present TT2NE, a new algorithm to predict RNA secondary structures with pseudoknots. The method is based on a classification of RNA structures according to their topological genus. TT2NE guarantees to find the minimum free energy…

Biomolecules · Quantitative Biology 2010-10-22 Michael Bon , Henri Orland

Large Neighborhood Search (LNS) is a universal approach that is broadly applicable and has proven to be highly efficient in practice for solving optimization problems. We propose to integrate machine learning (ML) into LNS to assist in…

Machine Learning · Computer Science 2024-03-15 Willem Feijen , Guido Schäfer , Koen Dekker , Seppo Pieterse
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