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Related papers: Modularity in Deep Learning: A Survey

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Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting…

Pattern Formation and Solitons · Physics 2020-11-18 Bram A. Siebert , Cameron L. Hall , James P. Gleeson , Malbor Asllani

By redefining the conventional notions of layers, we present an alternative view on finitely wide, fully trainable deep neural networks as stacked linear models in feature spaces, leading to a kernel machine interpretation. Based on this…

Machine Learning · Statistics 2020-12-02 Shiyu Duan , Shujian Yu , Jose Principe

Deep neural networks have seen enormous success in various real-world applications. Beyond their predictions as point estimates, increasing attention has been focused on quantifying the uncertainty of their predictions. In this review, we…

Machine Learning · Computer Science 2023-02-06 Chengyu Dong

Complex systems are usually illustrated by networks which captures the topology of the interactions between the entities. To better understand the roles played by the entities in the system one needs to uncover the underlying community…

Social and Information Networks · Computer Science 2016-05-23 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu

The theory of modular deformations is generalized for the category of complex analytic polyhedra which includes germs of complex space as well as any compact complex analytic space. The objective of the theory is a construction of fine…

Algebraic Geometry · Mathematics 2007-05-23 V. P. Palamodov

Complex networks topologies present interesting and surprising properties, such as community structures, which can be exploited to optimize communication, to find new efficient and context-aware routing algorithms or simply to understand…

Data Analysis, Statistics and Probability · Physics 2009-03-24 V. Nicosia , G. Mangioni , V. Carchiolo , M. Malgeri

Continual learning can enable neural networks to evolve by learning new tasks sequentially in task-changing scenarios. However, two general and related challenges should be overcome in further research before we apply this technique to…

Machine Learning · Computer Science 2022-02-15 Yujiang He , Zhixin Huang , Bernhard Sick

Deep learning is usually described as an experiment-driven field under continuous criticizes of lacking theoretical foundations. This problem has been partially fixed by a large volume of literature which has so far not been well organized.…

Machine Learning · Computer Science 2021-03-12 Fengxiang He , Dacheng Tao

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

Deep Learning has implemented a wide range of applications and has become increasingly popular in recent years. The goal of multimodal deep learning is to create models that can process and link information using various modalities. Despite…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Jabeen Summaira , Xi Li , Amin Muhammad Shoib , Songyuan Li , Jabbar Abdul

This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

Dynamical Systems · Mathematics 2022-06-10 Claus Kadelka , Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba , Matthew Wheeler

A generalization of modularity, called block modularity, is defined. This is a quality function which evaluates a label assignment against an arbitrary block pattern. Therefore, unlike standard modularity or its variants, arbitrary network…

Physics and Society · Physics 2023-03-01 Rudy Arthur

Deep learning models have seen significant successes in numerous applications, but their inner workings remain elusive. The purpose of this work is to quantify the learning process of deep neural networks through the lens of a novel…

Machine Learning · Computer Science 2023-05-10 Rayna Andreeva , Katharina Limbeck , Bastian Rieck , Rik Sarkar

Multi-task learning aims to improve generalization performance of multiple prediction tasks by appropriately sharing relevant information across them. In the context of deep neural networks, this idea is often realized by hand-designed…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Yongxi Lu , Abhishek Kumar , Shuangfei Zhai , Yu Cheng , Tara Javidi , Rogerio Feris

Practically all programming languages allow the programmer to split a program into several modules which brings along several advantages in software development. In this paper, we are interested in the area of answer-set programming where…

Logic in Computer Science · Computer Science 2014-01-16 Tomi Janhunen , Emilia Oikarinen , Hans Tompits , Stefan Woltran

Multivariate time series have many applications, from healthcare and meteorology to life science. Although deep learning models have shown excellent predictive performance for time series, they have been criticised for being "black-boxes"…

Machine Learning · Computer Science 2024-05-06 Qiqi Su , Christos Kloukinas , Artur d'Avila Garcez

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

Modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and function of complex systems. Generally speaking,…

Data Analysis, Statistics and Probability · Physics 2010-05-10 Alex Arenas , Javier Borge-Holthoefer , Sergio Gomez , Gorka Zamora-Lopez

Deep neural networks use multiple layers of functions to map an object represented by an input vector progressively to different representations, and with sufficient training, eventually to a single score for each class that is the output…

Machine Learning · Computer Science 2022-09-02 Tin Kam Ho

This paper introduces decentralized and modular neural network framework designed to enhance the scalability, interpretability, and performance of artificial intelligence (AI) systems. At the heart of this framework is a dynamic switch…

Neural and Evolutionary Computing · Computer Science 2025-04-28 Surajit Majumder , Paritosh Ranjan , Prodip Roy , Bhuban Padhan