The problem of deriving the modes of the Poisson distribution of order k was posed by Philippou (1983) and Philippou (1985) but remained open due to complexity. In 2011, using simulations and pattern recognition, we proposed a closed formula for the modes of the Poisson distribution of order k.

In 2013, we mathematically proved our stated conjecture and established a lower bound for the modes of the Poisson distribution of order k, for k=2,3,4,5. Thus, solving partially an open problem since 1983.

Analyzing results of multiple questionnaires including Young’s IA test, the General Health Questionnaire (GHQ), and family relationship questionnaires on a national level, we stated factors that could play an important role in Internet addiction among Iranian high school and secondary school adolescents.

The findings of this study could help parents, school counselors, and teachers to pay more attention to excessive Internet use in adolescents and propose possible solutions.

Detecting eye states has many applications including classification of sleep-waking states in infants or hospitalized patients, detection of driving drowsiness where it estimated to be responsible for at least 72,000 crashes, 44,000 injuries, and 800 deaths in 2013, human-computer interface design, alertness of pilots especially fighter jet pilots, and stress feature identification, among others.

Machine learning analytics addressing this problem require extensive train and prediction times which limit their potential application in real life. However, many problems do not require going through decision making using machine learning algorithms upfront.

We developed two state-of-the-art monitor and action process that detect eye state change fast and accurately while performing significantly better than alternatives. Results have been published in journals and analytics have been filed with the USPTO an a non-provisional patent.

Hereditary is one of the key risk factors of the Parkinson’s disease (PD) and children of individuals with the Parkinson’s carry a two-fold risk for the disease. We estimate chance of developing the Parkinson’s disease for a given individual in five types of families. That is, families with negative history of the PD (I), families with positive history where neither one of the parents (II), one of the parents (III-IV), or both parents (V) are diagnosed with the disease.

It is extremely important knowing such probabilities as the individual can take precautionary measures to defy the odds. While many physicians have provided medical opinions on chance of developing the PD, our study is one of the first to provide statistical analysis with real data to support the conclusions.

Ground Penetrating Radar (GPR) is widely used in detecting buried objects including utility lines, tree roots, caves, landmines, grave sites, etc. Accurate depth estimation of the lateral object location depends on many factors. We proposed TWO statistical analytical monitoring schemes to detect burial site of objects and estimate their location and depth with high accuracy. The analytics run in real-time that is plausible for real-life applications.

Results are patented by the United States Patent and Trademark Office as the new analytics detect objects and estimate their location and depth with high accuracy, performing far better than anything currently on the market.

The developed analytics provide • Fully automated detection procedure • Warning the user prior to reaching buried objects • Accurate location and depth estimation of buried object • Detecting multiple buried objects • Fast run-time of the analytics plausible for on-site applications • Accurate performance even on noisy media

Developed a method that objectively measures the clinical benefits of ketamine infusions to treat Complex Regional Pain Syndrome (CRPS), thus making it possible, for the first time, to determine the optimal dosing of ketamine and duration of treatment to treat CRPS.

Our findings suggest that four days of treatment are sufficient for the treatment of CRPS of the lower extremities. For the upper extremities, more than four days may be required. Our study is the first to utilize quantitative sensory testing to direct the treatment of a chronic pain disorder.

Developed an LSTM Neural Network that identifies whether a sequence of pre-mRNA is an Intron, Extron, or Neither. Results are published in the journal of Current Genomics. Codes are available on GitHub.

I am currently working with a network of researchers to design chemical compounds with desired characteristics using Deep Reinforced Learning methods. We are developing proposals to seek funding.