Computational Mindset

Science & Technology Website

This website deals with scientific and technological topics on computation in general and pays particular attention to deep learning and therefore to neural networks, to which a special section is dedicated; there is also a specific section on quantum computing.

Dealt topics are: Algorithms, Artificial Intelligence, Applied Mathematics, Operations Research, Quantum Programming and other topics concerning the computing that is the third pillar of science.

Sections

Neural Networks

Studies, experiments and examples about deep learning machine models based on different topologies of neural networks: multilayer perceptrons, convolutional and recurrent layers, long-short-term-memory cells. Applications of neural networks to fit mathematical objects, to analyze texts, images, sounds and videos, to search for recurrent patterns in numerical series, to solve differencial equations. Code strictly original written in Python 3 with TensorFlow and/or PyTorch or in Julia with Flux, working and freely available on GitHub.
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Quantum Computing

Studies, experiments and examples about programs written for quantum computers and correspondent simulators. Algorithms that uses combinations of quantum gates, qubit superposition, entanglement, measure collapse. Analysis of results got from the execution of programs on true quantum computers. Code strictly original written in most common languages for the quantum programming like QASM, Q# and Python con Qiskit, working and freely available on GitHub.
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Highlights

Forecast of a univariate equally spaced time series with TensorFlow

Forecast of univariate and equally spaced time series via various neural network taxonomies implemented with TensorFlow without writing code but only via command line. More...

Fitting with highly configurable multi layer perceptrons

Fitting with highly configurable multi layer perceptrons (MLP) of functions, curves and surfaces with TensorFlow and PyTorch. More...

Differential Equations and Neural Networks

This page is an index of posts posts of this website that deal with some specific topic related to differential equations and neural networks. More...

Analyzer of a nonlinear autonomous dynamical system on the plane by Hartman-Grobman theorem

The post presents a Python program that analyzes the behavior of a nonlinear and autonomous dynamic system on the plane given two differential equations put into a system. Precisely, the program calculates the critical points, calculates the Jacobian at the critical points, verifies that they are hyperbolic and in this case it studies the behavior at the critical points linearizing around these points by applying Hartman-Grobman theorem. More...

NOT and C-NOT quantum gates

This post deals with the topic of quantum gates NOT (X-Pauli) and C-NOT (Controlled NOT) and the underlying quantum phenomena involved; also illustrates the use of these gates by a high level language and finally it shows the respective behaviours both in the case of pure states only and in the presence of superposition states. More...

Fitting functions with a configurable XGBoost regressor

The XGBoost algorithm, known for winning numerous Kaggle competitions, gives incredible results in the fitting of functions; the results are extremely exciting both in terms of error metrics and performance. More...