Artificial neural networks | Stochastic models
The random neural network (RNN) is a mathematical representation of an interconnected network of neurons or cells which exchange spiking signals. It was invented by Erol Gelenbe and is linked to the G-network model of queueing networks as well as to Gene Regulatory Network models. Each cell state is represented by an integer whose value rises when the cell receives an excitatory spike and drops when it receives an inhibitory spike. The spikes can originate outside the network itself, or they can come from other cells in the networks. Cells whose internal excitatory state has a positive value are allowed to send out spikes of either kind to other cells in the network according to specific cell-dependent spiking rates. The model has a mathematical solution in steady-state which provides the joint probability distribution of the network in terms of the individual probabilities that each cell is excited and able to send out spikes. Computing this solution is based on solving a set of non-linear algebraic equations whose parameters are related to the spiking rates of individual cells and their connectivity to other cells, as well as the arrival rates of spikes from outside the network. The RNN is a recurrent model, i.e. a neural network that is allowed to have complex feedback loops. A highly energy-efficient implementation of random neural networks was demonstrated by Krishna Palem et al. using the Probabilistic CMOS or PCMOS technology and was shown to be c. 226–300 times more efficient in terms of Energy-Performance-Product. RNNs are also related to artificial neural networks, which (like the random neural network) have gradient-based learning algorithms. The learning algorithm for an n-node random neural network that includes feedback loops (it is also a recurrent neural network) is of computational complexity O(n^3) (the number of computations is proportional to the cube of n, the number of neurons). The random neural network can also be used with other learning algorithms such as reinforcement learning. The RNN has been shown to be a universal approximator for bounded and continuous functions. (Wikipedia).
Neural Networks 1 Neural Units
From playlist Week 5: Neural Networks
Practical 4.0 – RNN, vectors and sequences
Recurrent Neural Networks – Vectors and sequences Full project: https://github.com/Atcold/torch-Video-Tutorials Links to the paper Vinyals et al. (2016) https://arxiv.org/abs/1609.06647 Zaremba & Sutskever (2015) https://arxiv.org/abs/1410.4615 Cho et al. (2014) https://arxiv.org/abs/1406
From playlist Deep-Learning-Course
Neural Network Architectures & Deep Learning
This video describes the variety of neural network architectures available to solve various problems in science ad engineering. Examples include convolutional neural networks (CNNs), recurrent neural networks (RNNs), and autoencoders. Book website: http://databookuw.com/ Steve Brunton
From playlist Data Science
This lecture gives an overview of neural networks, which play an important role in machine learning today. Book website: http://databookuw.com/ Steve Brunton's website: eigensteve.com
From playlist Intro to Data Science
Graph Neural Networks, Session 2: Graph Definition
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From playlist Graph Neural Networks (Hands-on)
In this video, I present some applications of artificial neural networks and describe how such networks are typically structured. My hope is to create another video (soon) in which I describe how neural networks are actually trained from data.
From playlist Machine Learning
Seminar 9: Surya Ganguli - Statistical Physics of Deep Learning
MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 View the complete course: https://ocw.mit.edu/RES-9-003SU15 Instructor: Surya Ganguli Describes how the application of methods from statistical physics to the analysis of high-dimensional data can provide theoretical insi
From playlist MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015
11.2: Neuroevolution: Crossover and Mutation - The Nature of Code
In this video I begin the process of coding a neuroevolution simulation and copy() and mutate() methods to the neural network library 🎥 Previous Video: https://youtu.be/lu5ul7z4icQ 🔗 Toy-Neural-Network-JS: https://github.com/CodingTrain/Toy-Neural-Network-JS 🔗 Nature of Code: http://natu
From playlist 11: Neuroevolution - The Nature of Code
GRCon21 - An Open Channel Identifier using GNU Radio
Presented by Ashley Beard and Steven Sharp at GNU Radio Conference 2021 In this paper, we address the problem of radio spectrum crowding by using a stochastic gradient descent neural network algorithm on simulated cognitive radio data to identify open and closed channels within a specifie
From playlist GRCon 2021
2020.05.28 Andrew Stuart - Supervised Learning between Function Spaces
Consider separable Banach spaces X and Y, and equip X with a probability measure m. Let F: X \to Y be an unknown operator. Given data pairs {x_j,F(x_j)} with {x_j} drawn i.i.d. from m, the goal of supervised learning is to approximate F. The proposed approach is motivated by the recent su
From playlist One World Probability Seminar
Statistical mechanics of deep learning by Surya Ganguli
Statistical Physics Methods in Machine Learning DATE: 26 December 2017 to 30 December 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The theme of this Discussion Meeting is the analysis of distributed/networked algorithms in machine learning and theoretical computer science in the
From playlist Statistical Physics Methods in Machine Learning
Frank Noé: "Fundamentals of Artificial Intelligence and Machine Learning" (Part 2/2)
Watch part 1/2 here: https://youtu.be/5f-u0hgiLXw Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Fundamentals of Artificial Intelligence and Machine Learning" (Part 2/2) Frank Noé - Freie Universität Berlin Institute for Pure and Applied Mathematics, U
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Towards Analyzing Normalizing Flows by Navin Goyal
Program Advances in Applied Probability II (ONLINE) ORGANIZERS Vivek S Borkar (IIT Bombay, India), Sandeep Juneja (TIFR Mumbai, India), Kavita Ramanan (Brown University, Rhode Island), Devavrat Shah (MIT, US) and Piyush Srivastava (TIFR Mumbai, India) DATE & TIME 04 January 2021 to 08 Janu
From playlist Advances in Applied Probability II (Online)
Stochastic Gradient Descent: where optimization meets machine learning- Rachel Ward
2022 Program for Women and Mathematics: The Mathematics of Machine Learning Topic: Stochastic Gradient Descent: where optimization meets machine learning Speaker: Rachel Ward Affiliation: University of Texas, Austin Date: May 26, 2022 Stochastic Gradient Descent (SGD) is the de facto op
From playlist Mathematics
Tom Goldstein: "What do neural loss surfaces look like?"
New Deep Learning Techniques 2018 "What do neural loss surfaces look like?" Tom Goldstein, University of Maryland Abstract: Neural network training relies on our ability to find “good” minimizers of highly non-convex loss functions. It is well known that certain network architecture desi
From playlist New Deep Learning Techniques 2018
Live Stream #124.2 - Linting and Neuroevolution - Part 2
In part 2 of Friday's live stream, I begin discussing the topic "neuroevolution" which will be the subject of chapter 11 of the next edition of the Nature of Code book. (http://natureofcode.com/) 🎥 Live Stream Part 1: https://youtu.be/sIeN74GrYHE 22:54 - Neuroevolution Part 1 53:50 - Neu
From playlist Live Stream Archive