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Recurrent neural networks (RNNs) can learn continuous vector representations of symbolic structures such as sequences and sentences; these representations often exhibit linear regularities (analogies). Such regularities motivate our…

Computation and Language · Computer Science 2019-03-06 R. Thomas McCoy , Tal Linzen , Ewan Dunbar , Paul Smolensky

We present a new approach to the design of deep networks for natural language processing (NLP), based on the general technique of Tensor Product Representations (TPRs) for encoding and processing symbol structures in distributed neural…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Qiuyuan Huang , Paul Smolensky , Xiaodong He , Li Deng , Dapeng Wu

CAPTCHAs based on reading text are susceptible to machine-learning-based attacks due to recent significant advances in deep learning (DL). To address this, this paper promotes image/visual captioning based CAPTCHAs, which is robust against…

Computation and Language · Computer Science 2018-09-27 Qiuyuan Huang , Paul Smolensky , Xiaodong He , Li Deng , Dapeng Wu

idely used recurrent units, including Long-short Term Memory (LSTM) and the Gated Recurrent Unit (GRU), perform well on natural language tasks, but their ability to learn structured representations is still questionable. Exploiting reduced…

Neural and Evolutionary Computing · Computer Science 2019-11-06 Shuai Tang , Paul Smolensky , Virginia R. de Sa

This paper proposes a new architecture - Attentive Tensor Product Learning (ATPL) - to represent grammatical structures in deep learning models. ATPL is a new architecture to bridge this gap by exploiting Tensor Product Representations…

Computation and Language · Computer Science 2018-11-30 Qiuyuan Huang , Li Deng , Dapeng Wu , Chang Liu , Xiaodong He

Collaborative reasoning for understanding image-question pairs is a very critical but underexplored topic in interpretable visual question answering systems. Although very recent studies have attempted to use explicit compositional…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Qingxing Cao , Bailin Li , Xiaodan Liang , Liang Lin

We combine Recurrent Neural Networks with Tensor Product Representations to learn combinatorial representations of sequential data. This improves symbolic interpretation and systematic generalisation. Our architecture is trained end-to-end…

Machine Learning · Computer Science 2019-01-09 Imanol Schlag , Jürgen Schmidhuber

Progress in image captioning is gradually getting complex as researchers try to generalized the model and define the representation between visual features and natural language processing. This work tried to define such kind of relationship…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Chiranjib Sur

Tensor Networks are non-trivial representations of high-dimensional tensors, originally designed to describe quantum many-body systems. We show that Tensor Networks are ideal vehicles to connect quantum mechanical concepts to machine…

High Energy Physics - Phenomenology · Physics 2021-09-09 Jack Y. Araz , Michael Spannowsky

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

Recurrent Neural Networks (RNNs), which are a powerful scheme for modeling temporal and sequential data need to capture long-term dependencies on datasets and represent them in hidden layers with a powerful model to capture more information…

Machine Learning · Computer Science 2017-06-08 Andros Tjandra , Sakriani Sakti , Ruli Manurung , Mirna Adriani , Satoshi Nakamura

Recent advances in machine learning have led to a surge in adoption of neural networks for various tasks, but lack of interpretability remains an issue for many others in which an understanding of the features influencing the prediction is…

We propose a general framework called Text Modular Networks(TMNs) for building interpretable systems that learn to solve complex tasks by decomposing them into simpler ones solvable by existing models. To ensure solvability of simpler…

Computation and Language · Computer Science 2021-04-14 Tushar Khot , Daniel Khashabi , Kyle Richardson , Peter Clark , Ashish Sabharwal

Interpretability for machine learning models is becoming more and more important as machine learning models become more complex. The functional ANOVA model, which decomposes a high-dimensional function into a sum of lower dimensional…

Machine Learning · Statistics 2025-08-01 Seokhun Park , Insung Kong , Yongchan Choi , Chanmoo Park , Yongdai Kim

This paper presents the Tensor Product Network (TPNet), a novel neural architecture for efficient and accurate function approximation and PDE solving. The core of the proposal involves constructing the solution explicitly as a linear…

Machine Learning · Computer Science 2026-05-29 Qihong Yang , Yangtao Deng , Qiaolin He , Shiquan Zhang

Tabular foundational models are pre-trained models designed for a wide range of tabular data tasks. They have shown strong performance across domains, yet their internal representations and learned concepts remain poorly understood. This…

Machine Learning · Computer Science 2026-01-14 Aviral Gupta , Armaan Sethi , Dhruv Kumar

We present novel methods for analyzing the activation patterns of RNNs from a linguistic point of view and explore the types of linguistic structure they learn. As a case study, we use a multi-task gated recurrent network architecture…

Computation and Language · Computer Science 2016-06-09 Ákos Kádár , Grzegorz Chrupała , Afra Alishahi

Scaling language models to handle longer input sequences typically necessitates large key-value (KV) caches, resulting in substantial memory overhead during inference. In this paper, we propose Tensor Product Attention (TPA), a novel…

Computation and Language · Computer Science 2026-01-13 Yifan Zhang , Yifeng Liu , Huizhuo Yuan , Zhen Qin , Yang Yuan , Quanquan Gu , Andrew Chi-Chih Yao

In this work, we aim to leverage prior symbolic knowledge to improve the performance of deep models. We propose a graph embedding network that projects propositional formulae (and assignments) onto a manifold via an augmented Graph…

Artificial Intelligence · Computer Science 2019-10-30 Yaqi Xie , Ziwei Xu , Mohan S. Kankanhalli , Kuldeep S. Meel , Harold Soh

Image captioning can be improved if the structure of the graphical representations can be formulated with conceptual positional binding. In this work, we have introduced a novel technique for caption generation using the neural-symbolic…

Computation and Language · Computer Science 2019-11-25 Chiranjib Sur
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