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[R] Adversarial Machine Learning

Adversarial Machine Learning

Hy guys, i'm new in this field since my background is math (Bachelor and Master). I've started to work on security machine learning and the usage of Deep models to detect threats and malicious actions. I've started a PhD in Cybersecurity working in emerging risks in Artificial intelligence (that means all the field of adversarial machine learning.. training time-attacks and test-time evasion). I want to start a new line of research about this using mathematical tools as differential geometry and dynamical system(other suggestions?

1) Wich are the open challenges in this field?

2) There are recently work on the use of mathematical tools as dynamical system to solve some problem about adversarial machine learning?

3) Some suggestion about reseources, papers or others(also idea!!!) to start a modern research line in this field?

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