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We present a new approach for predictive modeling and its uncertainty quantification for mechanical systems, where coarse-grained models such as constitutive relations are derived directly from observation data. We explore the use of a…

Numerical Analysis · Mathematics 2020-06-24 Daniel Z. Huang , Kailai Xu , Charbel Farhat , Eric Darve

A capsule is a collection of neurons which represents different variants of a pattern in the network. The routing scheme ensures only certain capsules which resemble lower counterparts in the higher layer should be activated. However, the…

Machine Learning · Computer Science 2018-08-15 Hongyang Li , Xiaoyang Guo , Bo Dai , Wanli Ouyang , Xiaogang Wang

Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

We show that it is possible to craft transformations that, applied to compositional grammars, result in grammars that neural networks can learn easily, but humans do not. This could explain the disconnect between current metrics of…

Computation and Language · Computer Science 2021-11-24 Hugh Perkins

When trained on language data, do transformers learn some arbitrary computation that utilizes the full capacity of the architecture or do they learn a simpler, tree-like computation, hypothesized to underlie compositional meaning systems…

Computation and Language · Computer Science 2022-11-07 Shikhar Murty , Pratyusha Sharma , Jacob Andreas , Christopher D. Manning

Neurons are the fundamental building blocks of deep neural networks, and their interconnections allow AI to achieve unprecedented results. Motivated by the goal of understanding how neurons encode information, compositional explanations…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Biagio La Rosa , Leilani H. Gilpin

While modern deep networks have demonstrated remarkable versatility, their training dynamics remain poorly understood--often driven more by empirical tweaks than architectural insight. This paper investigates how internal structural choices…

Machine Learning · Computer Science 2025-08-26 Saleh Nikooroo , Thomas Engel

Compositionality is thought to be a key component of language, and various compositional benchmarks have been developed to empirically probe the compositional generalization of existing sequence processing models. These benchmarks often…

Machine Learning · Computer Science 2024-05-07 Parikshit Ram , Tim Klinger , Alexander G. Gray

Compositional generalization is a basic mechanism in human language learning, but current neural networks lack such ability. In this paper, we conduct fundamental research for encoding compositionality in neural networks. Conventional…

Computation and Language · Computer Science 2019-10-08 Yuanpeng Li , Liang Zhao , Jianyu Wang , Joel Hestness

Classification of audio samples is an important part of many auditory systems. Deep learning models based on the Convolutional and the Recurrent layers are state-of-the-art in many such tasks. In this paper, we approach audio classification…

Sound · Computer Science 2019-02-15 Royal Jain

With the growth of deep learning, how to describe deep neural networks unifiedly is becoming an important issue. We first formalize neural networks mathematically with their directed graph representations, and prove a generation theorem…

Machine Learning · Computer Science 2018-05-11 Yujian Li , Chuanhui Shan

Understanding how biological constraints shape neural computation is a central goal of computational neuroscience. Spatially embedded recurrent neural networks provide a promising avenue to study how modelled constraints shape the combined…

Neural and Evolutionary Computing · Computer Science 2024-09-27 Cornelia Sheeran , Andrew S. Ham , Duncan E. Astle , Jascha Achterberg , Danyal Akarca

We present a detailed comparison of two types of sequence to sequence models trained to conduct a compositional task. The models are architecturally identical at inference time, but differ in the way that they are trained: our baseline…

Computation and Language · Computer Science 2019-06-07 Joris Baan , Jana Leible , Mitja Nikolaus , David Rau , Dennis Ulmer , Tim Baumgärtner , Dieuwke Hupkes , Elia Bruni

Convolutional Neural Networks need the construction of informative features, which are determined by channel-wise and spatial-wise information at the network's layers. In this research, we focus on bringing in a novel solution that uses…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Jerrin Bright , Suryaprakash Rajkumar , Arockia Selvakumar Arockia Doss

Character-based neural models have recently proven very useful for many NLP tasks. However, there is a gap of sophistication between methods for learning representations of sentences and words. While most character models for learning…

Computation and Language · Computer Science 2018-10-31 Yingwei Xin , Ethan Hart , Vibhuti Mahajan , Jean-David Ruvini

Deep neural networks have achieved remarkable success, yet our understanding of how they learn remains limited. These models can learn high-dimensional tasks, which is generally statistically intractable due to the curse of dimensionality.…

Machine Learning · Computer Science 2025-10-08 Alessandro Favero

Learning compositional representation is a key aspect of object-centric learning as it enables flexible systematic generalization and supports complex visual reasoning. However, most of the existing approaches rely on auto-encoding…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Whie Jung , Jaehoon Yoo , Sungjin Ahn , Seunghoon Hong

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

Many dynamical systems -- from robots interacting with their surroundings to large-scale multiphysics systems -- involve a number of interacting subsystems. Toward the objective of learning composite models of such systems from data, we…

Machine Learning · Computer Science 2023-05-16 Cyrus Neary , Ufuk Topcu

Humans excel at applying learned behavior to unlearned situations. A crucial component of this generalization behavior is our ability to compose/decompose a whole into reusable parts, an attribute known as compositionality. One of the…

Artificial Intelligence · Computer Science 2024-07-24 Prasanna Vijayaraghavan , Jeffrey Frederic Queisser , Sergio Verduzco Flores , Jun Tani