@conference {
	title = {Non-Commutative Probability Models in Human Decision Making: Binary Hypothesis Testing},
	author = {Raghavan, Aneesh., Baras, John S.},
	year = {2018},
	month = {12/2018},
	abstract = {In this paper, we consider the binary hypothesis testing problem, as the simplest human
decision making problem, using a von-Neumann non-commutative probability framework.
We present two approaches to this decision making problem. In the rst approach, we represent
the available data as coming from measurements modeled via projection valued measures (PVM)
and retrieve the results of the underlying detection problem solved using classical probability
models. In the second approach, we represent the measurements using positive operator valued
measures (POVM). We prove that the minimum probability of error achieved in the second
approach is the same as in the rst approach.},
	address = {Miami, Florida},
	booktitle = {2nd IFAc Conference on Cyber-Physical \& Human-Systems (CPHS)2018}
}
@conference {
	title = {Stochastic Control Formulation of The Car Overtake Problem},
	author = {Raghavan, Aneesh., Wei, Jieqiang., Baras, John S., Johansson, Karl Henrik.},
	year = {2018},
	month = {06/2018},
	abstract = {~In this paper, we consider the classic car overtake problem. There are three cars, two moving along the same direction in the same lane while the third car moves in the direction opposite to that of the first two cars in the adjacent lane. The objective of the trailing car is to overtake the car in front of it avoiding collision with the other cars in the scenario. The information available to the trailing car is the relative position, relative velocities with respect to other cars and its position and past actions. The relative position and relative velocity information is corrupted by noise. Given this information, the car needs to make a decision as to whether it wants to overtake or not. We present a control algorithm for the car which minimizes the probability of collision with both the cars. We also present the results obtained by simulating the above scenario with the control algorithm. Through simulations we study the effect of the variance of the measurement noise and the time at which the decision is made on the probability of collision.},
	address = {Savona, Italy},
	booktitle = {15th IFAC Symposium on Control in Transportation Systems},
	pages = {pp. 124-129}
}
