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Though modern neural networks have achieved impressive performance in both vision and language tasks, we know little about the functions that they implement. One possibility is that neural networks implicitly break down complex tasks into…

Computation and Language · Computer Science 2023-11-08 Michael A. Lepori , Thomas Serre , Ellie Pavlick

Neural networks (NNs) whose subnetworks implement reusable functions are expected to offer numerous advantages, including compositionality through efficient recombination of functional building blocks, interpretability, preventing…

Neural and Evolutionary Computing · Computer Science 2021-03-09 Róbert Csordás , Sjoerd van Steenkiste , Jürgen Schmidhuber

Structural modularity is a pervasive feature of biological neural networks, which have been linked to several functional and computational advantages. Yet, the use of modular architectures in artificial neural networks has been relatively…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Mani Hamidi , Sina Khajehabdollahi , Emmanouil Giannakakis , Tim Schäfer , Anna Levina , Charley M. Wu

We propose a modular architecture for the lifelong learning of hierarchically structured tasks. Specifically, we prove that our architecture is theoretically able to learn tasks that can be solved by functions that are learnable given…

Machine Learning · Computer Science 2021-12-22 Zihao Deng , Zee Fryer , Brendan Juba , Rina Panigrahy , Xin Wang

Modular neural networks outperform nonmodular neural networks on tasks ranging from visual question answering to robotics. These performance improvements are thought to be due to modular networks' superior ability to model the compositional…

Machine Learning · Computer Science 2025-03-12 Akhilan Boopathy , Sunshine Jiang , William Yue , Jaedong Hwang , Abhiram Iyer , Ila Fiete

Interpreting the prediction mechanism of complex models is currently one of the most important tasks in the machine learning field, especially with layered neural networks, which have achieved high predictive performance with various…

Machine Learning · Statistics 2018-10-04 Chihiro Watanabe

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

Neural networks have seen an explosion of usage and research in the past decade, particularly within the domains of computer vision and natural language processing. However, only recently have advancements in neural networks yielded…

Machine Learning · Computer Science 2022-07-20 Jacob Renn , Ian Sotnek , Benjamin Harvey , Brian Caffo

The learned weights of a neural network are often considered devoid of scrutable internal structure. To discern structure in these weights, we introduce a measurable notion of modularity for multi-layer perceptrons (MLPs), and investigate…

Neural and Evolutionary Computing · Computer Science 2022-02-09 Daniel Filan , Shlomi Hod , Cody Wild , Andrew Critch , Stuart Russell

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

The information processing abilities of a multilayer neural network with a number of hidden units scaling as the input dimension are studied using statistical mechanics methods. The mapping from the input layer to the hidden units is…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Andreas Engel , Ido Kanter

We describe a method for utilizing the known structure of input data to make learning more efficient. Our work is in the domain of programming languages, and we use deep neural networks to do program analysis. Computer programs include a…

Neural and Evolutionary Computing · Computer Science 2019-04-01 Zehra Sura , Tong Chen , Hyojin Sung

Layered neural networks have greatly improved the performance of various applications including image processing, speech recognition, natural language processing, and bioinformatics. However, it is still difficult to discover or interpret…

Machine Learning · Statistics 2017-10-05 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

The layered structure of deep neural networks hinders the use of numerous analysis tools and thus the development of its interpretability. Inspired by the success of functional brain networks, we propose a novel framework for…

Machine Learning · Computer Science 2022-05-25 Ben Zhang , Zhetong Dong , Junsong Zhang , Hongwei Lin

This paper investigates the learnability of the nonlinearity property of Boolean functions using neural networks. We train encoder style deep neural networks to learn to predict the nonlinearity of Boolean functions from examples of…

Machine Learning · Computer Science 2025-02-04 Sriram Ranga , Nandish Chattopadhyay , Anupam Chattopadhyay

We study the problem of creating strong, yet narrow, AI systems. While recent AI progress has been driven by the training of large general-purpose foundation models, the creation of smaller models specialized for narrow domains could be…

Machine Learning · Computer Science 2025-10-31 Eric J. Michaud , Asher Parker-Sartori , Max Tegmark

This paper identifies a structural property of data distributions that enables deep neural networks to learn hierarchically. We define the "staircase" property for functions over the Boolean hypercube, which posits that high-order Fourier…

Machine Learning · Computer Science 2021-11-25 Emmanuel Abbe , Enric Boix-Adsera , Matthew Brennan , Guy Bresler , Dheeraj Nagaraj

Submodular functions are discrete functions that model laws of diminishing returns and enjoy numerous algorithmic applications. They have been used in many areas, including combinatorial optimization, machine learning, and economics. In…

Data Structures and Algorithms · Computer Science 2012-08-24 Maria-Florina Balcan , Nicholas J. A. Harvey

Deep multi-task learning attracts much attention in recent years as it achieves good performance in many applications. Feature learning is important to deep multi-task learning for sharing common information among tasks. In this paper, we…

Machine Learning · Computer Science 2020-02-13 Pengxin Guo , Chang Deng , Linjie Xu , Xiaonan Huang , Yu Zhang

Neural Module Networks, originally proposed for the task of visual question answering, are a class of neural network architectures that involve human-specified neural modules, each designed for a specific form of reasoning. In current…

Machine Learning · Computer Science 2019-11-11 Vardaan Pahuja , Jie Fu , Sarath Chandar , Christopher J. Pal
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