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A direct optimization test was conducted on a neural network for MNIST image classification. The network features a 784-32-10 architecture with a total of 25,450 continuous parameters (weights and biases). Instead of employing backpropagation or gradient information, the parameters were optimized using MDP, a Derivative-Free Optimization method. The objective was to directly minimize the Cross-Entropy Loss on a subset of 5,000 training images. Final evaluations were performed on independent validation and test sets. In the best run, MDP achieved an objective loss of 0.0004083, a validation accuracy of 93.7%, and a test accuracy of 93.4%. These results outperform the baseline established by Adam, which achieved a final loss of 0.002945, a validation accuracy of 91.8%, and a test accuracy of 91.7% using the same network architecture. Notably, this optimization was successfully performed over a 25,450-dimensional search space, achieving convergence across 1,000,000 function evaluations without relying on gradients or population-based methods. The code for this test, along with other Python implementation examples, is available in the examples folder of the official project repository: https://github.com/misa-hdez/sgo-lab submitted by /u/Mis4318 [link] [Kommentare]
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What is a sequential scan vs index scan vs parallel scan .... and what is a bitmap heap scan? Postgres scan types explained and diagrammed.
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