Graduate Students Seminar
Mathematics/Psychology : 106
Date & Time
March 29, 2023, 11:00 am – 12:00 pm
|Session Chair:||Harrison Lewis|
Speaker 1: Luan (Chip) Nguyen
- Biochemical Oscillators and Modeling
- The phenomena of oscillations can occur in many systems ranging from biological rhythms to chemical reactions studied in the laboratory. In this talk, we preview these oscillatory behaviors displayed in biochemical organizations. One particular example is found in the glycolysis process for cellular metabolism. A mathematical model, proposed by Sel'kov (1968), and the natural framework of ordinary differential equations can be used to study the glycolytic oscillations.
Speaker 2: Gaurab Hore
- FLIP: A Utility Preserving Privacy Mechanism for Time Series
- Guaranteeing privacy in released data is an important goal for data-producing agencies. There has been extensive research on developing suitable privacy mechanisms in recent years. Particularly notable is the idea of noise addition with the guarantee of differential privacy. There are, however, concerns about compromising data utility when very stringent privacy mechanisms are applied. Such compromises can be quite stark in correlated data, such as time series data. Adding white noise to a stochastic process may significantly change the correlation structure, a facet of the process that is essential to optimal prediction. We propose the use of all-pass filtering as a privacy mechanism for regularly sampled time series data, showing that this procedure preserves certain types of utility while also providing sufficient privacy guarantees to entity-level time series. Numerical studies explore the practical performance of the new method, and an empirical application to labor force data show the method's favorable utility properties in comparison to other competing privacy mechanisms.