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medium.com article

Neural Network Optimization (Part 2) — Evolutionary ...

https://medium.com/@mandarangchekar7/neural-network-optimization-part-2-evolu…

# Neural Network Optimization (Part 2) — Evolutionary Strategies | by Mandar Angchekar | Medium. # Neural Network Optimization (Part 2) — Evolutionary Strategies. ## Neural Network Optimization (Part 1) — Differential Evolution Algorithm ### Explained and Implemented in Python. This post talks about Evolutionary Strategies (ES), evaluating its potential in training neural networks against the benchmark of traditional backpropagation methods. Central to this exploration was the adaptation of ES to fine-tune neural networks, with a particular focus on optimizing mutation rates for enhanced performance. The code block below illustrates key operations in an evolutionary strategy for neural network optimization: recombining genetic material from two parents to create offspring, mutating offspring by adding Gaussian noise, and assessing fitness by evaluating the negative loss on training data. The plot displays the trend in average fitness of a neural network optimized using Evolutionary Strategies (ES) over a logarithmic scale of generations. Image 15: Neural Network Optimization (Part 1) — Differential Evolution Algorithm. Image 25: 42.Backpropagation: How Neural Networks Learn.

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medium.com article

Neural Network Optimization (Part 1) — Differential Evolution ...

https://medium.com/@mandarangchekar7/neural-network-optimization-part-1-diffe…

# Neural Network Optimization (Part 1) — Differential Evolution Algorithm | by Mandar Angchekar | Medium. # **Neural Network Optimization (Part 1) — Differential Evolution Algorithm**. In this article, we delve into the practical application of the Differential Evolution (DE) algorithm — a member of the **evolutionary algorithm family** — for optimizing neural networks. This process wasn’t merely a search — it was an evolutionary journey leading to a remarkable **fitness score of 0.94**, signifying the accuracy of our optimized neural network. This function evaluates the fitness of a neural network by training it with a specified number of neurons in the hidden layer, then returning the model’s accuracy on a test set. This function uses Differential Evolution to optimize the neural network’s hidden layer size for maximum accuracy, iterating through mutations and selections to find the best neuron count within given bounds. def differential_evolution(fitness_func, bounds, max_gen, pop_size, F=0.6, CR=0.7):. best_hyperparams = differential_evolution(fitness_function, bounds, max_gen=500, pop_size=10).

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danmackinlay.name article

Evolution strategies - Dan MacKinlay

https://danmackinlay.name/notebook/evolution_strategy.html

* ES is optimizing \(J(\theta)=\mathbb{E}[F(\theta+\sigma\varepsilon)]\). 2. Evolution Strategies (ES) (and especially NES/CMA-ES-style methods) put a distribution on *candidate solutions* \(\theta\) (or search steps), and update that distribution using fitness evaluations. Pick a parametric *search distribution* \[ q\_\phi(\theta) \] and define the ES/VO objective. Natural Evolution Strategies (NES) use the natural gradient for this update, which makes the step invariant to reparameterizations of \(\phi\) (Wierstra et al. The Information-Geometric Optimization (IGO) framework generalizes this: it defines a canonical natural-gradient flow for *any* smooth parametric family \(p\_\phi\), and recovers NES and variants of CMA-ES as special cases (Ollivier et al. Another explicit bridge is variational optimization (VO): we replace a hard (possibly non-differentiable) objective \(F(\theta)\) with its expectation under a noise distribution. Why it looks like Bayes: VO and variational inference both optimize an objective defined by an expectation under a parameterized distribution, and both naturally use score-function and natural-gradient machinery.

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sciencedirect.com article

Evolutionary approach for composing a thoroughly ...

https://www.sciencedirect.com/science/article/pii/S1110866524001440

# Full length article Evolutionary approach for composing a thoroughly optimized ensemble of regression neural networks. The paper presents the GeNNsem (**Ge**netic algorithm A**NN**s en**sem**ble) software framework for the simultaneous optimization of individual neural networks and building their optimal ensemble. The proposed framework employs a genetic algorithm to search for suitable architectures and hyperparameters of the individual neural networks to maximize the weighted sum of accuracy and diversity in their predictions. The proposed approach exhibited supremacy over other ensemble approaches and individual neural networks in all common regression modeling metrics. Real-world use-case experiments in the domain of hydro-informatics have further demonstrated the main advantages of GeNNsem: requires the least training sessions for individual models when optimizing an ensemble; networks in an ensemble are generally simple due to the regularization provided by a trivial initial population and custom genetic operators; execution times are reduced by two orders of magnitude as a result of parallelization.

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lilianweng.github.io news

Evolution Strategies | Lil'Log

https://lilianweng.github.io/posts/2019-09-05-evolution-strategies/

In order to evaluate whether the current step size is proper, CMA-ES constructs an *evolution path* $p\_\sigma$ by summing up a consecutive sequence of moving steps, $\frac{1}{\lambda}\sum\_{i}^\lambda y\_i^{(j)}, j=1, \dots, t$. Similar to how we adjust the step size $\sigma$, an evolution path $p\_c$ is used to track the sign information and it is constructed in a way that $p\_c$ is conjugate, $\sim \mathcal{N}(0, C)$ both before and after a new generation. Natural Evolution Strategies (**NES**; Wierstra, et al, 2008) optimizes in a search distribution of parameters and moves the distribution in the direction of high fitness indicated by the *natural gradient*. CEM-RL is built on the framework of *Evolutionary Reinforcement Learning* (*ERL*; Khadka & Tumer, 2018) in which the standard EA algorithm selects and evolves a population of actors and the rollout experience generated in the process is then added into reply buffer for training both RL-actor and RL-critic networks.

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openai.com article

Evolution strategies as a scalable alternative to reinforcement learning

https://openai.com/index/evolution-strategies/

For example, in 2012, the“AlexNet” paper⁠(opens in a new window)showed how to design, scale and train convolutional neural networks (CNNs) to achieve extremely strong results on image recognition tasks, at a time when most researchers thought that CNNs were not a promising approach to computer vision. Yet another way to see it is that we’re still doing RL (Policy Gradients, orREINFORCE⁠(opens in a new window)specifically), where the agent’s actions are to emit entire parameter vectors using a gaussian policy. **Code sample**.To make the core algorithm concrete and to highlight its simplicity, here is a short example of optimizing a quadratic function using ES (or see thislonger version⁠(opens in a new window)with more comments):. Compared to this work and much of the work it has inspired, our focus is specifically on scaling these algorithms to large-scale, distributed settings, finding components that make the algorithms work better with deep neural networks (e.g.virtual batch norm⁠(opens in a new window)), and evaluating them on modern RL benchmarks.

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