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This paper proposes a novel topological learning framework that integrates networks of different sizes and topology through persistent homology. Such challenging task is made possible through the introduction of a computationally efficient…

神经元与认知 · 定量生物学 2023-01-30 Tananun Songdechakraiwut , Moo K. Chung

Recently, over-parameterized neural networks have been extensively analyzed in the literature. However, the previous studies cannot satisfactorily explain why fully trained neural networks are successful in practice. In this paper, we…

机器学习 · 计算机科学 2019-10-28 Cong Fang , Hanze Dong , Tong Zhang

We propose Neural Crossbreed, a feed-forward neural network that can learn a semantic change of input images in a latent space to create the morphing effect. Because the network learns a semantic change, a sequence of meaningful…

计算机视觉与模式识别 · 计算机科学 2020-09-07 Sanghun Park , Kwanggyoon Seo , Junyong Noh

Neural networks have succeeded in many reasoning tasks. Empirically, these tasks require specialized network structures, e.g., Graph Neural Networks (GNNs) perform well on many such tasks, but less structured networks fail. Theoretically,…

机器学习 · 计算机科学 2020-02-18 Keyulu Xu , Jingling Li , Mozhi Zhang , Simon S. Du , Ken-ichi Kawarabayashi , Stefanie Jegelka

Deploying neural networks to different devices or platforms is in general challenging, especially when the model size is large or model complexity is high. Although there exist ways for model pruning or distillation, it is typically…

机器学习 · 计算机科学 2023-12-07 Kai Li , Yi Luo

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Torsten Roehl

Hyperparameters and learning algorithms for neuromorphic hardware are usually chosen by hand. In contrast, the hyperparameters and learning algorithms of networks of neurons in the brain, which they aim to emulate, have been optimized…

神经与进化计算 · 计算机科学 2019-06-11 Thomas Bohnstingl , Franz Scherr , Christian Pehle , Karlheinz Meier , Wolfgang Maass

Neural networks have attracted a lot of attention due to its success in applications such as natural language processing and computer vision. For large scale data, due to the tremendous number of parameters in neural networks, overfitting…

机器学习 · 统计学 2022-07-05 Xiaoxi Shen , Jinghang Lin

We present a new technique named "Meta Deformation Network" for 3D shape matching via deformation, in which a deep neural network maps a reference shape onto the parameters of a second neural network whose task is to give the correspondence…

计算机视觉与模式识别 · 计算机科学 2020-06-29 Daohan Lu , Yi Fang

Morphological neural networks allow to learn the weights of a structuring function knowing the desired output image. However, those networks are not intrinsically robust to lighting variations in images with an optical cause, such as a…

计算机视觉与模式识别 · 计算机科学 2022-11-30 Guillaume Noyel , Emile Barbier--Renard , Michel Jourlin , Thierry Fournel

Network neuroscience is the emerging discipline concerned with investigating the complex patterns of interconnections found in neural systems, and to identify principles with which to understand them. Within this discipline, one…

神经元与认知 · 定量生物学 2017-08-29 Richard F. Betzel , Danielle S. Bassett

Network embedding assigns nodes in a network to low-dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses have been made toward this emerging network analysis paradigm. In…

社会与信息网络 · 计算机科学 2017-11-27 Peng Cui , Xiao Wang , Jian Pei , Wenwu Zhu

One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain…

物理与社会 · 物理学 2017-12-06 L. A. Bunimovich , D. C. Smith , B. Z. Webb

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

神经与进化计算 · 计算机科学 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Recent studies showed that the generalization of neural networks is correlated with the sharpness of the loss landscape, and flat minima suggests a better generalization ability than sharp minima. In this paper, we propose a novel method…

机器学习 · 计算机科学 2024-05-24 Yuyan Zhou , Ye Li , Lei Feng , Sheng-Jun Huang

Networks are fundamental building blocks for representing data, and computations. Remarkable progress in learning in structurally defined (shallow or deep) networks has recently been achieved. Here we introduce evolutionary exploratory…

神经与进化计算 · 计算机科学 2019-11-05 Rise Ooi , Chao-Han Huck Yang , Pin-Yu Chen , Vìctor Eguìluz , Narsis Kiani , Hector Zenil , David Gomez-Cabrero , Jesper Tegnèr

Social networks have well documented effects at the individual and aggregate level. Consequently it is often useful to understand how an attempt to influence a network will change its structure and consequently achieve other goals. We…

社会与信息网络 · 计算机科学 2016-02-24 Jonathan Mellon , Jordan Yoder , Daniel Evans

In the study of neurons, morphology influences function. The complexity in the structure of neurons poses a challenge in the identification and analysis of similar and dissimilar neuronal cells. Existing methodologies carry out structural…

图像与视频处理 · 电气工程与系统科学 2018-02-21 Tamal Batabyal , Scott T. Acton

In this paper, we examine an important problem of learning neural networks that certifiably meet certain specifications on input-output behaviors. Our strategy is to find an inner approximation of the set of admissible policy parameters,…

系统与控制 · 电气工程与系统科学 2022-02-24 Zain ul Abdeen , He Yin , Vassilis Kekatos , Ming Jin

We present some novel, straightforward methods for training the connection graph of a randomly initialized neural network without training the weights. These methods do not use hyperparameters defining cutoff thresholds and therefore remove…

机器学习 · 计算机科学 2020-11-18 Cristian Ivan , Razvan Florian