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Morphisms between tensor products of fundamental representations of the quantum group of sl(n) are described by the sl(n)-webs of Cautis-Kamnitzer-Morrison. Using these webs, we provide an explicit, root-theoretic formula for the local…

Representation Theory · Mathematics 2015-10-26 Ben Elias

We introduce Tangent Attention Fine-Tuning (TAFT), a method for fine-tuning linearized transformers obtained by computing a First-order Taylor Expansion around a pre-trained initialization. We show that the Jacobian-Vector Product resulting…

Machine Learning · Computer Science 2024-05-16 Tian Yu Liu , Aditya Golatkar , Stefano Soatto

Learning by integrating multiple heterogeneous data sources is a common requirement in many tasks. Collective Matrix Factorization (CMF) is a technique to learn shared latent representations from arbitrary collections of matrices. It can be…

Machine Learning · Computer Science 2021-09-29 Ragunathan Mariappan , Vaibhav Rajan

Tensor decomposition methods are widely used for model compression and fast inference in convolutional neural networks (CNNs). Although many decompositions are conceivable, only CP decomposition and a few others have been applied in…

Machine Learning · Computer Science 2019-11-28 Kohei Hayashi , Taiki Yamaguchi , Yohei Sugawara , Shin-ichi Maeda

The interpretation of the results of survival analysis often benefits from latent factor representations of baseline covariates. However, existing methods, such as Nonnegative Matrix Factorization (NMF), do not incorporate survival…

Machine Learning · Computer Science 2025-08-26 Paul Fogel , Christophe Geissler , George Luta

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

Machine Learning · Statistics 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

The computational complexity of neural networks for large scale or real-time applications necessitates hardware acceleration. Most approaches assume that the network architecture and parameters are unknown at design time, permitting usage…

Signal Processing · Electrical Eng. & Systems 2019-09-11 Stephen Tridgell , Martin Kumm , Martin Hardieck , David Boland , Duncan Moss , Peter Zipf , Philip H. W. Leong

Interpretability has become a necessary feature for machine learning models deployed in critical scenarios, e.g. legal system, healthcare. In these situations, algorithmic decisions may have (potentially negative) long-lasting effects on…

Machine Learning · Computer Science 2021-12-21 An-phi Nguyen , Maria Rodriguez Martinez

Convolutional neural networks typically consist of many convolutional layers followed by one or more fully connected layers. While convolutional layers map between high-order activation tensors, the fully connected layers operate on…

Machine Learning · Computer Science 2020-07-22 Jean Kossaifi , Zachary C. Lipton , Arinbjorn Kolbeinsson , Aran Khanna , Tommaso Furlanello , Anima Anandkumar

Accurate representation to an academic network is of great significance to academic relationship mining like predicting scientific impact. A Latent Factorization of Tensors (LFT) model is one of the most effective models for learning the…

Machine Learning · Computer Science 2025-04-14 Chunyang Zhang , Xin Liao , Hao Wu

Iterative Fast Fourier Transform methods are useful for calculating the fields in composite materials and their macroscopic response. By iterating back and forth until convergence, the differential constraints are satisfied in Fourier…

Numerical Analysis · Mathematics 2018-01-25 Hervé Moulinec , Pierre Suquet , Graeme W. Milton

Facial expressions convey massive information and play a crucial role in emotional expression. Deep neural network (DNN) accompanied by deep metric learning (DML) techniques boost the discriminative ability of the model in facial expression…

Computer Vision and Pattern Recognition · Computer Science 2023-02-09 Hossein Rajoli , Fatemeh Lotfi , Adham Atyabi , Fatemeh Afghah

Most Continual Learning (CL) methods maintain performance on earlier tasks by storing exemplars in a replay buffer, introducing memory overhead that scales with the number of tasks and raising privacy concerns in regulated domains. We…

Machine Learning · Computer Science 2026-05-11 Mohammad Ali Vahedifar , Qi Zhang

Fourier representations play a central role in operator learning methods for partial differential equations and are increasingly being explored in quantum machine learning architectures. The classical fast Fourier transform (FFT),…

Quantum Physics · Physics 2026-03-19 Paolo Marcandelli , Stefano Mariani , Martina Siena , Stefano Markidis

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

Numerical Analysis · Computer Science 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

This paper studies the prediction task of tensor-on-tensor regression in which both covariates and responses are multi-dimensional arrays (a.k.a., tensors) across time with arbitrary tensor order and data dimension. Existing methods either…

Machine Learning · Statistics 2024-12-23 Guanhao Zhou , Yuefeng Han , Xiufan Yu

The Forward-Forward algorithm eliminates backpropagation's memory constraints and biological implausibility through dual forward passes with positive and negative data. However, conventional implementations suffer from critical inter-layer…

Machine Learning · Computer Science 2025-12-23 Salar Beigzad

We develop a representation suitable for the unconstrained recognition of words in natural images: the general case of no fixed lexicon and unknown length. To this end we propose a convolutional neural network (CNN) based architecture which…

Computer Vision and Pattern Recognition · Computer Science 2015-04-13 Max Jaderberg , Karen Simonyan , Andrea Vedaldi , Andrew Zisserman

The paper exposes a non-parametric approach to latent and co-latent modeling of bivariate data, based upon alternating minimization of the Kullback-Leibler divergence (EM algorithm) for complete log-linear models. For categorical data, the…

Methodology · Statistics 2016-03-10 François Bavaud

A large-scale dynamic network (LDN) is a source of data in many big data-related applications due to their large number of entities and large-scale dynamic interactions. They can be modeled as a high-dimensional incomplete (HDI) tensor that…

Machine Learning · Computer Science 2023-05-05 Aoling Zeng
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