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Book Open access Aug 2026

A Masked Mixture Model for Compact and Accurate Matrix Factorization

This paper proposes Masked Mixture Factorization (MMF), a lightweight yet effective MF variant that adapts to heterogeneous interactions through instance-wise latent gating, substantially improving accuracy under the same parameter budget while retaining MF's scalability.

Yong-chan Park, Jeongyoung Lee, Seungjoo Lee et al. · 0 citations
Book Open access Aug 2026

Interplay Between Classical Tensor Methods And Foundation Models

Tensor methods have played a central role in analyzing multi-dimensional data across a wide range of real-world applications. At the same time, these methods provide low-rank representations, which enable trustworthy and parsimonious machine learning systems. However, even though they hold great promise, tensor methods...

Dawon Ahn, Yong-chan Park, Taehyung Kwon et al. · 0 citations
Open access Aug 2026

STOD: Sparse Tensor Train Optimization via Orthogonal Decomposition for High-Dimensional Learning

This paper proposes a novel Tensor Train (TT)-based tensor-on-tensor regression optimization framework for variable selection based on mode-1 hyperslice sparsity, and designs an alternating iterative algorithm equipped with a preconditioned metric to efficiently solve the proposed model.

Xiao-Yu Li, Zi-Yan Luo · 0 citations
#artificial intelligence Preprint Aug 2026

TPR-Attention for Combinatorial Generalization

This work introduces a new architectural component that embeds structured inductive bias into deep learning: an attention mechanism operating over tensor-product representations (TPRs) that outperforms existing architectural components in combinatorial generalization.

Melisa Civelekoğlu, Isabeau Prémont-Schwarz · 0 citations
Preprint Aug 2026

Computing with traceable tensor networks

A new SVD-based tensor decomposition method for tensor networks with arbitrary graph topologies is introduced, and it is found that the graph-format representation attains comparable or better accuracy than the classical tensor train and hierarchical Tucker tensor formats, while using substantially fewer degrees of fre...

Sarah Ellwein, D. Venturi · 0 citations
Preprint Aug 2026

Accelerated Learning of High Dimensional Functions with a Tensor-Featured Training Network

This work presents a method to accelerate the optimization of learning high dimensional functions using deep neural network (DNN), and studies the effect of adding features which distill pretrained DNN into TNs using a discretize and decompose strategy.

Karl Pierce, Y. Khoo, Haizhao Yang · 0 citations

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