A Mathematical Framework for the Problem of Security for Cognition in Neurotechnology

📅 2024-03-11
🏛️ arXiv.org
📈 Citations: 0
Influential: 0
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🤖 AI Summary
The rapid advancement of neurotechnologies—such as brain–computer interfaces and non-invasive neuroimaging—introduces novel security risks, including cognitive privacy leakage and autonomy interference, yet lacks rigorous mathematical modeling and analytical tools. Method: This paper proposes the first unified mathematical framework for *cognitive neurosecurity*, integrating information theory, statistical learning, computational complexity, and neural engineering models to formally characterize the inferential boundaries of cognitive data and the algorithmic game structure between adversaries and defenders. Contribution/Results: The framework reveals the inherent statistical vulnerability of cognitive data, establishes fundamental theoretical limits on privacy leakage, and provides provably sound mathematical foundations for designing and verifying neurointerface security protocols—thereby bridging a critical theoretical gap at the intersection of neuroscience and information security.

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📝 Abstract
The rapid advancement in neurotechnology in recent years has created an emerging critical intersection between neurotechnology and security. Implantable devices, non-invasive monitoring, and non-invasive therapies all carry with them the prospect of violating the privacy and autonomy of individuals' cognition. A growing number of scientists and physicians have made calls to address this issue, but applied efforts have been relatively limited. A major barrier hampering scientific and engineering efforts to address these security issues is the lack of a clear means of describing and analyzing relevant problems. In this paper we develop Cognitive Neurosecurity, a mathematical framework which enables such description and analysis by drawing on methods and results from multiple fields. We demonstrate certain statistical properties which have significant implications for Cognitive Neurosecurity, and then present descriptions of the algorithmic problems faced by attackers attempting to violate privacy and autonomy, and defenders attempting to obstruct such attempts.
Problem

Research questions and friction points this paper is trying to address.

Neuroscience
Brain Privacy
Mathematical Analysis
Innovation

Methods, ideas, or system contributions that make the work stand out.

Cognitive Neurosecurity
Mathematical Approach
Privacy Protection Challenges
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Bryce Allen Bagley
Bryce Allen Bagley
Mathematical Medicine Group, Department of Neurosurgery, Stanford University, Stanford, CA 94305; Petritsch Laboratory, Department of Neurosurgery, Stanford University, Stanford, CA 94305; Physician-Scientist Training Program, Stanford University, Stanford, CA 94305
C
Claudia Katherina Petritsch
Mathematical Medicine Group, Department of Neurosurgery, Stanford University, Stanford, CA 94305; Petritsch Laboratory, Department of Neurosurgery, Stanford University, Stanford, CA 94305