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In this chapter, we utilize dynamical systems to analyze several aspects of machine learning algorithms. As an expository contribution we demonstrate how to re-formulate a wide variety of challenges from deep neural networks, (stochastic)…

Dynamical Systems · Mathematics 2025-07-08 Dennis Chemnitz , Maximilian Engel , Christian Kuehn , Sara-Viola Kuntz

In this study, we investigate how a robot can generate novel and creative actions from its own experience of learning basic actions. Inspired by a machine learning approach to computational creativity, we propose a dynamic neural network…

Robotics · Computer Science 2018-05-16 Jungsik Hwang , Jun Tani

How can we make sense of large-scale recordings of neural activity across learning? Theories of neural network learning with their origins in statistical physics offer a potential answer: for a given task, there are often a small set of…

Neurons and Cognition · Quantitative Biology 2025-09-08 Jacob A. Zavatone-Veth , Blake Bordelon , Cengiz Pehlevan

We propose the use of recurrent neural networks for classifying phases of matter based on the dynamics of experimentally accessible observables. We demonstrate this approach by training recurrent networks on the magnetization traces of two…

Disordered Systems and Neural Networks · Physics 2018-08-22 Evert van Nieuwenburg , Eyal Bairey , Gil Refael

The brain is dynamic, associative and efficient. It reconfigures by associating the inputs with past experiences, with fused memory and processing. In contrast, AI models are static, unable to associate inputs with past experiences, and run…

Neural networks have been achieving high generalization performance on many tasks despite being highly over-parameterized. Since classical statistical learning theory struggles to explain this behavior, much effort has recently been focused…

Machine Learning · Statistics 2021-06-16 Skander Karkar , Ibrahim Ayed , Emmanuel de Bézenac , Patrick Gallinari

In neural networks literature, there is a strong interest in identifying and defining activation functions which can improve neural network performance. In recent years there has been a renovated interest of the scientific community in…

Machine Learning · Computer Science 2021-03-01 Andrea Apicella , Francesco Donnarumma , Francesco Isgrò , Roberto Prevete

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

To maximize future rewards in this ever-changing world, animals must be able to discover the temporal structure of stimuli and then anticipate or act correctly at the right time. How the animals perceive, maintain, and use time intervals…

Neurons and Cognition · Quantitative Biology 2020-07-08 Zedong Bi , Changsong Zhou

Recently, there have been several concerted international efforts - the BRAIN initiative, European Human Brain Project and the Human Connectome Project, to name a few - that hope to revolutionize our understanding of the connected brain.…

Neurons and Cognition · Quantitative Biology 2016-02-10 Adeel Razi , Karl Friston

Recent work suggests goal-driven training of neural networks can be used to model neural activity in the brain. While response properties of neurons in artificial neural networks bear similarities to those in the brain, the network…

Neurons and Cognition · Quantitative Biology 2020-05-19 Christopher J. Cueva , Peter Y. Wang , Matthew Chin , Xue-Xin Wei

The connectome, a map of the structural and/or functional connections in the brain, provides a complex representation of the neurobiological phenotypes on which it supervenes. This information-rich data modality has the potential to…

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

The brain can be regarded as a network: a connected system where nodes, or units, represent different specialized regions and links, or connections, represent communication pathways. From a functional perspective communication is coded by…

Neurons and Cognition · Quantitative Biology 2014-09-10 Fabrizio De Vico Fallani , Jonas Richiardi , Mario Chavez , Sophie Achard

The ability to effectively control brain dynamics holds great promise for the enhancement of cognitive function in humans, and the betterment of their quality of life. Yet, successfully controlling dynamics in neural systems is challenging,…

Quantitative Methods · Quantitative Biology 2018-08-29 Evelyn Tang , Danielle S. Bassett

Spatiotemporal flows of neural activity, such as traveling waves, have been observed throughout the brain since the earliest recordings; yet there is still little consensus on their functional role. Recent experiments and models have linked…

Neurons and Cognition · Quantitative Biology 2026-02-03 T. Anderson Keller , Lyle Muller , Terrence J. Sejnowski , Max Welling

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

Deep neural network is an effective choice to automatically recognize human actions utilizing data from various wearable sensors. These networks automate the process of feature extraction relying completely on data. However, various noises…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Tanvir Mahmud , A. Q. M. Sazzad Sayyed , Shaikh Anowarul Fattah , Sun-Yuan Kung

Real-world networks are composed of diverse interacting and evolving entities, while most of existing researches simply characterize them as particular static networks, without consideration of the evolution trend in dynamic networks.…

Social and Information Networks · Computer Science 2020-06-16 Yu Xie , Chunyi Li , Bin Yu , Chen Zhang , Zhouhua Tang

Learning shared structure across environments facilitates rapid learning and adaptive behavior in neural systems. This has been widely demonstrated and applied in machine learning to train models that are capable of generalizing to novel…

Machine Learning · Statistics 2025-04-09 Ayesha Vermani , Josue Nassar , Hyungju Jeon , Matthew Dowling , Il Memming Park
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