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Tensor networks are a compressed format for multi-dimensional data. One-dimensional tensor networks -- often referred to as tensor trains (TT) or matrix product states (MPS) -- are increasingly being used as a numerical ansatz for continuum…

Quantum Physics · Physics 2025-12-09 Joseph Tindall , E. Miles Stoudenmire , Ryan Levy

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

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

Machine Learning · Computer Science 2026-03-03 Maryam Bagherian

In recent years, Long Short-Term Memory (LSTM) has become a popular choice for speech separation and speech enhancement task. The capability of LSTM network can be enhanced by widening and adding more layers. However, this would introduce…

Sound · Computer Science 2018-12-27 Suman Samui , Indrajit Chakrabarti , Soumya K. Ghosh

Recurrent neural networks have been very successful at predicting sequences of words in tasks such as language modeling. However, all such models are based on the conventional classification framework, where the model is trained against…

Machine Learning · Computer Science 2017-03-14 Hakan Inan , Khashayar Khosravi , Richard Socher

In the era of deep learning, word embeddings are essential when dealing with text tasks. However, storing and accessing these embeddings requires a large amount of space. This is not conducive to the deployment of these models on…

Computation and Language · Computer Science 2022-10-28 Guobing Gan , Peng Zhang , Sunzhu Li , Xiuqing Lu , Benyou Wang

Most popular word embedding techniques involve implicit or explicit factorization of a word co-occurrence based matrix into low rank factors. In this paper, we aim to generalize this trend by using numerical methods to factor higher-order…

Machine Learning · Statistics 2017-09-19 Eric Bailey , Shuchin Aeron

Vector-based word representations help countless Natural Language Processing (NLP) tasks capture the language's semantic and syntactic regularities. In this paper, we present the characteristics of existing word embedding approaches and…

Computation and Language · Computer Science 2024-03-05 Obaidullah Zaland , Muhammad Abulaish , Mohd. Fazil

Word embeddings are widely used in Natural Language Processing, mainly due to their success in capturing semantic information from massive corpora. However, their creation process does not allow the different meanings of a word to be…

Computation and Language · Computer Science 2017-06-22 Massimiliano Mancini , Jose Camacho-Collados , Ignacio Iacobacci , Roberto Navigli

Recurrent neural language models are the state-of-the-art models for language modeling. When the vocabulary size is large, the space taken to store the model parameters becomes the bottleneck for the use of recurrent neural language models.…

Computation and Language · Computer Science 2017-12-25 Zhongliang Li , Raymond Kulhanek , Shaojun Wang , Yunxin Zhao , Shuang Wu

We propose a new kind of embedding for natural language text that deeply represents semantic meaning. Standard text embeddings use the outputs from hidden layers of a pretrained language model. In our method, we let a language model learn…

Computation and Language · Computer Science 2022-11-22 Oleg Vasilyev , John Bohannon

Deep neural networks (DNNs) have enabled impressive breakthroughs in various artificial intelligence (AI) applications recently due to its capability of learning high-level features from big data. However, the current demand of DNNs for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Bijiao Wu , Dingheng Wang , Guangshe Zhao , Lei Deng , Guoqi Li

Pre-trained Transformer-based models have achieved state-of-the-art performance for various Natural Language Processing (NLP) tasks. However, these models often have billions of parameters, and, thus, are too resource-hungry and…

Machine Learning · Computer Science 2021-09-29 Prakhar Ganesh , Yao Chen , Xin Lou , Mohammad Ali Khan , Yin Yang , Hassan Sajjad , Preslav Nakov , Deming Chen , Marianne Winslett

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

Machine Learning · Computer Science 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

Distributional semantics based on neural approaches is a cornerstone of Natural Language Processing, with surprising connections to human meaning representation as well. Recent Transformer-based Language Models have proven capable of…

Computation and Language · Computer Science 2022-04-04 Daniel Loureiro , Alípio Mário Jorge , Jose Camacho-Collados

Tying the weights of the target word embeddings with the target word classifiers of neural machine translation models leads to faster training and often to better translation quality. Given the success of this parameter sharing, we…

Computation and Language · Computer Science 2018-09-03 Nikolaos Pappas , Lesly Miculicich Werlen , James Henderson

Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Pavel Kaloshin

Word embeddings are rich word representations, which in combination with deep neural networks, lead to large performance gains for many NLP tasks. However, word embeddings are represented by dense, real-valued vectors and they are therefore…

Computation and Language · Computer Science 2019-12-24 Andreas Hanselowski , Iryna Gurevych

We propose a novel tensor network language model based on the simplest tensor network (i.e., tensor trains), called `Tensor Train Language Model' (TTLM). TTLM represents sentences in an exponential space constructed by the tensor product of…

Computation and Language · Computer Science 2024-05-09 Zhan Su , Yuqin Zhou , Fengran Mo , Jakob Grue Simonsen

Embeddings have become a pivotal means to represent complex, multi-faceted information about entities, concepts, and relationships in a condensed and useful format. Nevertheless, they often preclude direct interpretation. While downstream…