BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250729T015605EDT-4873fvwFkF@132.216.98.100 DTSTAMP:20250729T055605Z DESCRIPTION:Qualitative inverse problems: Mapping from limited data to prop erties of dynamics and parameter values for ODE models\n\nJonathan Rubin ( University of Pittsburgh)\n Tuesday November 21\, 12-1pm\n Zoom Link: https: //mcgill.zoom.us/j/86855481591\n In Person: 550 Sherbrooke\, Room 189\n \n Ab stract: Questions of parameter estimation 鈥� that is\, finding the paramete r values that allow a model to best fit some data 鈥� and parameter identifi ability 鈥� that is\, the uniqueness of such parameter values 鈥� are often co nsidered in settings where experiments can be repeated to gain more certai nty about the data. In this talk\, however\, I will consider parameter est imation and parameter identifiability in situations where available data c onsists of measurements from discrete time points during a single experime nt. Our motivation comes from medical settings\, where data comes from a p atient\; such limitations in data also arise in finance\, ecology\, and cl imate\, for example. In this setting\, we can try to find the best paramet ers to fit our limited data. In this talk\, I will introduce a novel\, alt ernative goal\, which we refer to as a qualitative inverse problem. The ai m here is to analyze what information we can gain about a system from the available data even if we cannot estimate its parameter values precisely. I will discuss results that allow us to determine whether a given model ha s the ability to fit the data\, whether its parameters are identifiable\, the signs of model parameters\, and/or the local dynamics around system fi xed points\, as well as how much measurement error can be tolerated withou t changing the conclusions of our analysis. I will consider various classe s of model systems and will illustrate our latest results with the classic Lotka-Volterra system.\n DTSTART:20231121T170000Z DTEND:20231121T180000Z SUMMARY:QLS Seminar Series - Jonathan Rubin URL:/qls/channels/event/qls-seminar-series-jonathan-ru bin-352196 END:VEVENT END:VCALENDAR