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Despite tremendous progress over the past decade, deep learning methods generally fall short of human-level systematic generalization. It has been argued that explicitly capturing the underlying structure of data should allow connectionist…

Machine Learning · Computer Science 2023-04-26 Andrea Dittadi

In recent research, Tensor Product Representation (TPR) is applied for the systematic generalization task of deep neural networks by learning the compositional structure of data. However, such prior works show limited performance in…

Machine Learning · Computer Science 2024-06-04 Taewon Park , Inchul Choi , Minho Lee

Recognizing elementary underlying concepts from observations (disentanglement) and generating novel combinations of these concepts (compositional generalization) are fundamental abilities for humans to support rapid knowledge learning and…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Tao Yang , Yuwang Wang , Cuiling Lan , Yan Lu , Nanning Zheng

Neuro-symbolic neural networks have been extensively studied to integrate symbolic operations with neural networks, thereby improving systematic generalization. Specifically, Tensor Product Representation (TPR) framework enables neural…

Machine Learning · Computer Science 2024-11-04 Taewon Park , Hyun-Chul Kim , Minho Lee

The current methods for learning representations with auto-encoders almost exclusively employ vectors as the latent representations. In this work, we propose to employ a tensor product structure for this purpose. This way, the obtained…

Machine Learning · Computer Science 2023-09-01 Michael Rotman , Amit Dekel , Shir Gur , Yaron Oz , Lior Wolf

While researchers are finding concepts represented as linear directions in language models, a bag of linear directions fails to capture relational structure. To better understand this dichotomy, we study a model with known linear…

Machine Learning · Computer Science 2026-05-12 Andrew Lee , Fernanda Viégas , Martin Wattenberg

One of the key limitations of modern deep learning approaches lies in the amount of data required to train them. Humans, by contrast, can learn to recognize novel categories from just a few examples. Instrumental to this rapid learning…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Pavel Tokmakov , Yu-Xiong Wang , Martial Hebert

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

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

Object-centric representations promise a key property for few-shot learning: Rather than treating a scene as a single unit, a model can decompose it into individual object-level parts that can be matched and compared across different…

Machine Learning · Computer Science 2026-05-19 Phu-Quy Nguyen-Lam , Phu-Hoa Pham , Dao Sy Duy Minh , Chi-Nguyen Tran , Huynh Trung Kiet , Long Tran-Thanh

We introduce an architecture, the Tensor Product Recurrent Network (TPRN). In our application of TPRN, internal representations learned by end-to-end optimization in a deep neural network performing a textual question-answering (QA) task…

Computation and Language · Computer Science 2017-09-27 Hamid Palangi , Paul Smolensky , Xiaodong He , Li Deng

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

Generating formal-language programs represented by relational tuples, such as Lisp programs or mathematical operations, to solve problems stated in natural language is a challenging task because it requires explicitly capturing discrete…

Computation and Language · Computer Science 2020-08-04 Kezhen Chen , Qiuyuan Huang , Hamid Palangi , Paul Smolensky , Kenneth D. Forbus , Jianfeng Gao

In traditional software programs, it is easy to trace program logic from variables back to input, apply assertion statements to block erroneous behavior, and compose programs together. Although deep learning programs have demonstrated…

Machine Learning · Computer Science 2021-10-27 Mike Wu , Noah Goodman , Stefano Ermon

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

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

Disentangled representation has been widely explored in many fields due to its maximal compactness, interpretability and versatility. Recommendation system also needs disentanglement to make representation more explainable and general for…

Social and Information Networks · Computer Science 2020-10-27 Weiguang Chen , Wenjun Jiang , Xueqi Li , Kenli Li , Albert Zomaya , Guojun Wang

Disentanglement is a difficult property to enforce in neural representations. This might be due, in part, to a formalization of the disentanglement problem that focuses too heavily on separating relevant factors of variation of the data in…

Machine Learning · Computer Science 2022-05-23 Andrea Valenti , Davide Bacciu

Visual scenes are composed of visual concepts and have the property of combinatorial explosion. An important reason for humans to efficiently learn from diverse visual scenes is the ability of compositional perception, and it is desirable…

Machine Learning · Computer Science 2023-06-16 Jinyang Yuan , Tonglin Chen , Bin Li , Xiangyang Xue
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