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While a real-world research program in mathematics may be guided by a motivating question, the process of mathematical discovery is typically open-ended. Ideally, exploration needed to answer the original question will reveal new…

Machine Learning · Computer Science 2026-01-30 Henry Kvinge , Andrew Aguilar , Nayda Farnsworth , Grace O'Brien , Robert Jasper , Sarah Scullen , Helen Jenne

The current understanding of deep neural networks can only partially explain how input structure, network parameters and optimization algorithms jointly contribute to achieve the strong generalization power that is typically observed in…

Machine Learning · Computer Science 2021-01-28 Francesco Craighero , Fabrizio Angaroni , Alex Graudenzi , Fabio Stella , Marco Antoniotti

Universality is a key hypothesis in mechanistic interpretability -- that different models learn similar features and circuits when trained on similar tasks. In this work, we study the universality hypothesis by examining how small neural…

Machine Learning · Computer Science 2023-05-26 Bilal Chughtai , Lawrence Chan , Neel Nanda

Modeling the structure of coherent texts is a key NLP problem. The task of coherently organizing a given set of sentences has been commonly used to build and evaluate models that understand such structure. We propose an end-to-end…

Computation and Language · Computer Science 2017-12-25 Lajanugen Logeswaran , Honglak Lee , Dragomir Radev

Symmetries (transformations by group actions) are present in many datasets, and leveraging them holds considerable promise for improving predictions in machine learning. In this work, we aim to understand when and how deep networks -- with…

Machine Learning · Computer Science 2025-06-27 Andrea Perin , Stephane Deny

The main success stories of deep learning, starting with ImageNet, depend on deep convolutional networks, which on certain tasks perform significantly better than traditional shallow classifiers, such as support vector machines, and also…

Machine Learning · Computer Science 2021-03-26 Arturo Deza , Qianli Liao , Andrzej Banburski , Tomaso Poggio

People can learn a new concept and use it compositionally, understanding how to "blicket twice" after learning how to "blicket." In contrast, powerful sequence-to-sequence (seq2seq) neural networks fail such tests of compositionality,…

Computation and Language · Computer Science 2019-10-10 Brenden M. Lake

A significant effort has been made to train neural networks that replicate algorithmic reasoning, but they often fail to learn the abstract concepts underlying these algorithms. This is evidenced by their inability to generalize to data…

Machine Learning · Computer Science 2020-10-26 Yujun Yan , Kevin Swersky , Danai Koutra , Parthasarathy Ranganathan , Milad Hashemi

Diverse studies in systems neuroscience begin with extended periods of curriculum training known as `shaping' procedures. These involve progressively studying component parts of more complex tasks, and can make the difference between…

Neurons and Cognition · Quantitative Biology 2024-06-13 Jin Hwa Lee , Stefano Sarao Mannelli , Andrew Saxe

How can neural networks perform so well on compositional tasks even though they lack explicit compositional representations? We use a novel analysis technique called ROLE to show that recurrent neural networks perform well on such tasks by…

Machine Learning · Computer Science 2023-02-10 Paul Soulos , Tom McCoy , Tal Linzen , Paul Smolensky

Attention networks have proven to be an effective approach for embedding categorical inference within a deep neural network. However, for many tasks we may want to model richer structural dependencies without abandoning end-to-end training.…

Computation and Language · Computer Science 2017-02-17 Yoon Kim , Carl Denton , Luong Hoang , Alexander M. Rush

Scaling model capacity has been vital in the success of deep learning. For a typical network, necessary compute resources and training time grow dramatically with model size. Conditional computation is a promising way to increase the number…

Machine Learning · Computer Science 2018-11-14 Louis Kirsch , Julius Kunze , David Barber

Tree-structured neural networks have proven to be effective in learning semantic representations by exploiting syntactic information. In spite of their success, most existing models suffer from the underfitting problem: they recursively use…

Computation and Language · Computer Science 2017-05-12 Pengfei Liu , Xipeng Qiu , Xuanjing Huang

The ability to continually learn, retain and deploy skills to accomplish goals is a key feature of intelligent and efficient behavior. However, the neural mechanisms facilitating the continual learning and flexible (re-)composition of…

Machine Learning · Computer Science 2025-10-24 Haozhe Shan , Sun Minni , Lea Duncker

Humans learn complex latent structures from their environments (e.g., natural language, mathematics, music, social hierarchies). In cognitive science and cognitive neuroscience, models that infer higher-order structures from sensory or…

Artificial Intelligence · Computer Science 2018-10-03 Andrea E. Martin , Leonidas A. A. Doumas

Sequences have become first class citizens in supervised learning thanks to the resurgence of recurrent neural networks. Many complex tasks that require mapping from or to a sequence of observations can now be formulated with the…

Machine Learning · Statistics 2016-02-25 Oriol Vinyals , Samy Bengio , Manjunath Kudlur

Deep learning became the method of choice in recent year for solving a wide variety of predictive analytics tasks. For sequence prediction, recurrent neural networks (RNN) are often the go-to architecture for exploiting sequential…

Machine Learning · Computer Science 2016-11-09 Kin Gwn Lore , Daniel Stoecklein , Michael Davies , Baskar Ganapathysubramanian , Soumik Sarkar

Thanks to the availability of large scale digital datasets and massive amounts of computational power, deep learning algorithms can learn representations of data by exploiting multiple levels of abstraction. These machine learning methods…

Disordered Systems and Neural Networks · Physics 2018-10-01 Alberto Testolin , Michele Piccolini , Samir Suweis

Understanding sequential information is a fundamental task for artificial intelligence. Current neural networks attempt to learn spatial and temporal information as a whole, limited their abilities to represent large scale spatial…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Bo Pang , Kaiwen Zha , Hanwen Cao , Jiajun Tang , Minghui Yu , Cewu Lu

There is mounting evidence that existing neural network models, in particular the very popular sequence-to-sequence architecture, struggle to systematically generalize to unseen compositions of seen components. We demonstrate that one of…

Computation and Language · Computer Science 2022-03-23 Hao Zheng , Mirella Lapata