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Vibhuti Mahajan Contact Information Education Senior Undergraduate Dept. of Mathematics & Statistics Indian Institute of Technology, Kanpur e-mail: [email protected] Mobile: + (91) 7897418844 Degree / Certificate Institution CPI / % B.S. Mathematics & Statistics (2016) IIT Kanpur, India 8.6/10.0* Class 12 : CBSE Board (2012) Mount Carmel School, Chandigarh 93.8 % Class 10 : CBSE Board (2010) Bhavan Vidyalaya, Chandigarh 9.8/10.0 *after completion of 6 semesters Awards and Achievements • Recepient of Anita Borg Student Scholarship for the year 2015. • Awarded Inspire Scholarship ’12-14 by the Govt. of India for meritorious academic performance. • Selected for IISER Mohali Summer Research Programme 2014 among 5000 applicants. • Ranked in Top 0.5% among over 500,000 students in IITJEE’12. • Ranked in Top 0.5% among over 1 million students in AIEEE’12. Publications Conferences S.G. Liao, C. Yin, V. Mahajan, Y.S. Park and G. Tseng, “SeqDesign: A Framework for Genome Wide Power Calculation and Design Issues in RNA-SEQ Experiment”, to be submitted to The Annals of Applied Statistics [pdf] • Grace Hopper Celebration India (GHCI) 2015 for women in technology. • Women Emerging in Finance 2015 organised by Goldman Sachs, India. Research Experience SeqDesign: Framework for Genome Wide Power Calculation in RNA Sequencing Experiment Mentored by Prof. George Tseng, Dept. of Biostatistics, University of Pittsburgh, USA (May’15 - Present) Proposed a novel method, “SeqDesign”, for experiment design of RNA-Sequencing using Next Generation Sequencing (NGS) data. The goal is to predict power (p-value) of the sequencing experiment as a function of number of people sequenced and read depth and design an optimal experiment given desired power and budget constraints. Distribution of p-values is modelled as a mixture of negative binomial distributions of differentially expressed (DE) and non-DE genes and is fit using maximum likelihood techniques on pilot data. Wald test is used to test for DE status, Z statistics from the test for pilot data are transformed to original experiment to find its p-value . In both simulation study and real data analysis, our method provided genome-wide power prediction and optimal experiment design outperforming existing methods, reducing RMSE by a factor of 2 . Also developed a user-friendly platform with customizable I/O format. ? R package on the method is currently in development. Research paper to be submitted to The Annals of Applied Statistics. Statistical Methods in Market Research [report] Mentored by Prof. Amit Mitra, Dept. of Mathematics & Statistics, IIT Kanpur (May’14 - Aug’14) Modelled and implemented SAS code to evaluate dynamics of customer relationships using typical transaction data. Multinomial Logistic Regression and Markov Chain model are constructed and estimated to model the customer transitions. Used Principal Component Analysis/Canonical Discriminant Analysis to reduce dataset dimensions and then clustered customers on monetary worth using wards hierarchical clustering . Predicted revenue band of customer with 94% accuracy . ? Selected among top 30 (out of 100) projects at Poster Presentation Competition, organized by Students Placement Office, IIT Kanpur and accepted at IITK Student Research Convention’14. Selected Projects Low Rank Approximations for Kernel Matrices: Nystrom, ALS [report] Course project, Learning with Kernels, Prof. Harish Karnick, IIT Kanpur (Aug’15- Nov’15) Kernel approximation is an effective way to deal with high costs involved in computation and storage of kernel matrix for the large scale data. Studied and compared SVD, nystrom approximations, Random feature based approximation and Leverage Element Low Rank approximation (LELA). Empirically showed that LELA algorithm accompanied with random sampling and alternate least square estimates gave more accurate results as compared to other techniques. (Software used: R, Python) Bike Sharing Demand (Kaggle) [report] Course project, Artificial Intelligence & Data Mining, Prof. Amit Mitra, IIT Kanpur (Jan’15- Apr’15) Formulated exponential gradient boosting method (GBM) for bike rental demand using weather data and historical usage with 88% accuracy. Compared model with existing linear and non-linear techniques, GBM was found to perform better. (Software used: Python) Recurrence of Breast Cancer [report] Course project, Regression Analysis, Prof. Sharmishtha Mitra, IIT Kanpur (Jan’15- Apr’15) Predicted recurrent cases of breast cancer based on tumour cell attributes using logistic regression with accuracy of 72% Also predicted the number of days after which tumour onsets again in recurring cases using a multiple linear regression model. (Software used: R) Predicting Daily Exchange Rates using Time Series Analysis and Neural Networks Course project, MTH517 (Time Series Analysis), Prof. Amit Mitra, IIT Kanpur (Aug’14- Dec’14) Used linear deterministic time series (ARIMA) models to predict foreign exchange rates of INR. Compared results with a non-linear neural network model to comment on the goodness of fit and prediction accuracy of linear model. (Software used: R) Relevant Courses • Statistics: Stochastic Processes & Applications*, Regression Analysis, Inference, Time Series Analysis, Probability & Statistics • Analytics & Artificial Intelligence: Machine Learning Techniques*, Bayesian Data Analysis*, Convex Optimization*, Financial Engineering*, Learning with Kernels, Statistical & AI Techniques in Data Mining • Algorithms & Computer Science Theory: Algorithms II (audited), Theory of Computation, Mathematical Logic, Data Structures & Algorithms, Fundamentals of Computing • Mathematics: Multivariate Analysis*, Partial Differential Equations, Ordinary Differential Equations, Complex Analysis, Several Variable Calculus & Differential Geometry, Principles of Numeric Computations, Abstract Algebra, Real Analysis, Linear Algebra *presently doing Technical Skills Programming Languages - C, Python, R, MATLAB, HTML Software/ Platforms - SAS, 3ds Max , LATEX, Microsoft Excel, Linux, Windows Positions of Responsibility Captain, Table Tennis Girls’ Team, IIT Kanpur - Currently leading the team, selected as Best Incoming Sportsperson, 2013 and consecutive second runners up in Inter-IIT Sports Competition. Student Guide, Institute Counselling Service - Mentored 6 newly enrolled first year students to acclimatize with university environment and academic system. Senior Executive, Professional Affairs, Techkriti’14, IIT Kanpur Technical Festival - Worked in a team of 30 and effectively planned and managed talks by eminent scientists.