2022
DOI: 10.1162/netn_a_00213
|View full text |Cite
|
Sign up to set email alerts
|

Quantifying brain state transition cost via Schrödinger Bridge

Abstract: Quantifying brain state transition cost is a fundamental problem in systems neuroscience. Previous studies utilized network control theory to measure the cost by considering a neural system as a deterministic dynamical system. However, this approach does not capture the stochasticity of neural systems, which is important for accurately quantifying brain state transition cost. Here, we propose a novel framework based on optimal control in stochastic systems. In our framework, we quantify the transition cost as … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
14
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
3
2

Relationship

2
3

Authors

Journals

citations
Cited by 6 publications
(14 citation statements)
references
References 54 publications
0
14
0
Order By: Relevance
“…Third, for the control cost, we adopt the KL divergence between the uncontrolled and controlled processes ( Dai Pra, 1991 ; Léonard and Modal, 2014 ; Chen et al, 2016a ; Kawakita et al, 2022 ). A KL divergence is a metric that measures the closeness between two probability distributions.…”
Section: Methodsmentioning
confidence: 99%
See 4 more Smart Citations
“…Third, for the control cost, we adopt the KL divergence between the uncontrolled and controlled processes ( Dai Pra, 1991 ; Léonard and Modal, 2014 ; Chen et al, 2016a ; Kawakita et al, 2022 ). A KL divergence is a metric that measures the closeness between two probability distributions.…”
Section: Methodsmentioning
confidence: 99%
“…The Schrödinger bridge problem was subsequently found to be equivalent to an optimal control problem, and has been studied in the field of control theory ( Dai Pra, 1991 ; Léonard and Modal, 2014 ; Chen et al, 2016b ). To our knowledge, our recent study ( Kawakita et al, 2022 ) is the first work in neuroscience to use the KL minimization problem in examining control cost in brain dynamics.…”
Section: Methodsmentioning
confidence: 99%
See 3 more Smart Citations