Data Science Projects, Personal Website and Scientific Publications

Index

• personal-website
• original-physics-research-summary
• machine-learning-articles
• peer reviewed journals physics articles
• recents-data-science-projects

personal-website

My personal website:

www.marcotavora.me

publications

This is a selection of my published works. For the full list you can check my Google Scholar profile

original-physics-research-summary

My physics academic research was focused in many-body quantum systems out of equilibrium. These systems are characterized by a variety of novel phenomena, which are absent in equilibrium systems. This area has recently become the subject of intensive research, boosted in part by enormous progress in experimental techniques. However, in contrast to the equilibrium case, some of the most fundamental questions, such as whether the system attains a long-term stationary state, how this state is attained, and what is the nature of such a state have been answered only for a limited number of cases. Furthermore, since there are several "pathways" in which a system can be taken out of equilibrium, a plethora of different techniques are used to approach specific problems.

My long term goal was to help establishing such unified framework, with the aim to provide a more systematic way to describe and classify those kinds of systems.

machine-learning-articles

1. The Approximation Power of Neural Networks (with Python codes). Why neural networks can predict the outcomes of (almost) any process (Towards Data Science) (link)
2. Connections between Neural Networks and Pure Mathematics (freeCodeCamp.org) (link)
3. Machine Learning and Particle Motion in Liquids: An Elegant Link (Towards Data Science) (link)
4. Neural Quantum States (Towards Data Science) (link)
5. Deep Learning Explainability: Hints from Physics (Towards Data Science) (link)

finance-articles

1. How the Mathematics of Fractals Can Help Predict Stock Markets Shifts (Towards Data Science) (link)

fundamental-physics-online-articles

1. The Mysterious Connection Between Cyclic Imaginary Time and Temperature (Towards Data Science) (link)
2. Quantum Gravity, Timelessness and Complex Numbers (Towards Data Science) (link)
3. Quantum Gravity In One Dimension (Towards Data Science) (link)

peer reviewed journals physics articles

1. M. Tavora and A. Mitra, Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach, Physical Review B 88, 115144, 2013

2. M. Tavora, A. Rosch, A. Mitra, Quench dynamics of one-dimensional interacting bosons in a disordered potential: Elastic dephasing and critical speeding-up of thermalization, Physical Review Letters 113, 010601, 2014

3. A. Chiocchetta, M. Tavora, A. Gambassi, A.Mitra, Short-time universal scaling in an isolated quantum system after a quench, Physical Review B 91, 220302 (R), 2015

4. L.F. Santos, M. Tavora, F. Perez Bernal, Excited-state quantum phase transitions in many-body systems with infinite-range interaction, Physical Review A 94, 012113, 2016

5. E.J.T. Herrera, J. Karp, M. Tavora, L.F. Santos, Realistic many-body quantum systems vs full random matrices: static and dynamical properties, Entropy 18 (10), 359 - Special Issue "Quantum Information 2016" (editor's special invitation), 2016

6. A. Chiocchetta, M. Tavora, A. Gambassi, A. Mitra, Short time universal scaling & lightcone dynamics after a quench in d dimensions, Physical Review B 94,134311, 2016

7. M. Tavora, E.J.T. Herrera, L.F. Santos, Inevitable power-law behavior of many-body quantum systems & how it anticipates thermalization, Physical Review A 94, 041603(R), 2016

8. M. Tavora, E.J.T. Herrera, L.F. Santos, Powerlaw Decay Exponents: a Dynamical Criterion for Predicting Thermalization, Physical Review A 95, 013604, 2016

9. E.J.T. Herrera, M. Tavora, L.F. Santos, Survival Probability of the Neel State in Clean and Disordered Systems: An Overview (invitation for special issue), Brazilian Journal of Physics 46, Issue 3, 2016

10. M. Schiulaz, M. Tavora, L. F. Santos, From few- to many-body quantum systems, Quantum Science and Technology, Volume 3, Number 4, 2018

recent-data-science-projects

This is a list of links to projects I've completed recently:

• Application to the fine arts of deep learning using image recognition techniques (convolutional neural nets)[Description][Code].

• A comprehensive analysis of retail expansion strategies using regularized regressors [Description][Code].

• Application of classification models and natural language processing to a dataset of social media comments [Description] [Code]

• Predictions of customer churning rate for a mobile company [Description] [Code]

• Analysis of outcomes in sports competitions using tree-based machine learning algorithms [Description] [Code]

• Recurrent Neural Networks (LSTMs) applied to Bitcoin price data [Description] [Code]

• A simple tutorial about deep learning using both Keras and TensorFlow (in progress) [Description] [Code]

• Predictive modeling of the likelihood that an online ad will be clicked (the click-through-rate) [Description] [Code]

• Analysis of the opioids overdose crisis in the US (early stages)[Description] [Code]

• Topic modeling (Latent Dirichlet Allocation or LDA) applied to a corpus of research papers [Description][Code]

• Sentiment analysis "in reverse" applied to movie reviews [Description] [Code]

• A study of the declining trend of participation rates in standardized tests [Description] [Code]

• An exploratory analysis of the West Nile Virus outbreak in the US [Description] [Code]