Statistics and Probability Seminars @University of Nottingham: Karthik Bharath (3pm Italian time)
Con preghiera di diffusione. *Italian time: 15:00* Cordiali Saluti, Fabrizio Dear All, the Statistics and Probability group at the University of Nottingham organize a series of internal seminars which will be available to anyone interested, even outside the University of Nottingham. Our next speaker is Karthik Bharath. Seminar date and time: *4**th* * of March at 2pm. * Below you can find the Abstract and Title. Furthermore, you can find the Teams link to join the seminar. Best Wishes, Fabrizio Leisen Professor of Statistics University of Nottingham School of Mathematical Sciences University Park, Nottingham, NG7 2RD, UK http://sites.google.com/site/fabrizioleisen/ You are cordially invited to the following seminar: Karthik Bharath <https://www.nottingham.ac.uk/mathematics/people/karthik.bharath> (Internal Seminar) ----> 4th of March *at 2pm* Title: Shape space and models for functional data Abstract: Statements such as “death rate curve needs to remain single peaked”; “we expect the second peak of infected cases to be smaller compared to the first”, are, unfortunately, all too familiar nowadays. They represent instances of informal descriptions of shapes of functions we can relate to readily, wherein the notion of shape relates exclusively to ‘y direction’ variation. To formalise this, in this talk, I will consider a group-theoretic description of the shape of a function as that which is left behind once ‘x direction’ variability is ignored: only the number and values of local extrema are relevant to describe its shape and not their timings. Accordingly, the shape of a function is shown to be uniquely encoded by a polynomial, and this connection allows us to study structural aspects of the shape space of functions. For statistical analysis of functional data (e.g., densely sampled multiple time series data) the upside to this perspective is that (i) a natural dimension reduction mechanism based on local extrema becomes available when analysing amplitudes that avoids the task of registering (or aligning) the data; and (ii) simple finite-dimensional generative shape models can be defined. On the other hand, geometry of the shape space is complicated, and this makes it difficult to compute descriptive statistics (e.g., average shape) and study models induced on the shape space from the original (simpler) function space. This is joint work with Ian Jermyn (Durham). __________________________________________________ Microsoft Teams meeting Join on your computer or mobile app Click here to join the meeting <https://teams.microsoft.com/l/meetup-join/19%3ameeting_YTYwODYyNDEtYThiZi00NmVhLWFiNDYtYmY0YTBmOTk3MThk%40thread.v2/0?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%22ac48eccb-4345-40d8-88e1-d7a8170bb19a%22%7d> Learn more <https://aka.ms/JoinTeamsMeeting> | Meeting options <https://teams.microsoft.com/meetingOptions/?organizerId=ac48eccb-4345-40d8-88e1-d7a8170bb19a&tenantId=67bda7ee-fd80-41ef-ac91-358418290a1e&threadId=19_meeting_YTYwODYyNDEtYThiZi00NmVhLWFiNDYtYmY0YTBmOTk3MThk@thread.v2&messageId=0&language=en-GB> -- Fabrizio Leisen Professor of Statistics University of Nottingham School of Mathematical Sciences University Park, Nottingham, NG7 2RD, UK http://sites.google.com/site/fabrizioleisen/
Dear All, a gentle reminder about tomorrow seminar. *Italian time: 15:00* You can connect by using the following link: Microsoft Teams meeting Join on your computer or mobile app Click here to join the meeting <https://teams.microsoft.com/l/meetup-join/19%3ameeting_YTYwODYyNDEtYThiZi00NmVhLWFiNDYtYmY0YTBmOTk3MThk%40thread.v2/0?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%22ac48eccb-4345-40d8-88e1-d7a8170bb19a%22%7d> Learn more <https://aka.ms/JoinTeamsMeeting> | Meeting options <https://teams.microsoft.com/meetingOptions/?organizerId=ac48eccb-4345-40d8-88e1-d7a8170bb19a&tenantId=67bda7ee-fd80-41ef-ac91-358418290a1e&threadId=19_meeting_YTYwODYyNDEtYThiZi00NmVhLWFiNDYtYmY0YTBmOTk3MThk@thread.v2&messageId=0&language=en-GB> Best Wishes, Fabrizio Leisen Professor of Statistics University of Nottingham School of Mathematical Sciences University Park, Nottingham, NG7 2RD, UK http://sites.google.com/site/fabrizioleisen/ Il giorno gio 25 feb 2021 alle ore 15:23 Fabrizio Leisen < fabrizio.leisen@gmail.com> ha scritto:
Con preghiera di diffusione.
*Italian time: 15:00*
Cordiali Saluti, Fabrizio
Dear All,
the Statistics and Probability group at the University of Nottingham organize a series of internal seminars which will be available to anyone interested, even outside the University of Nottingham.
Our next speaker is Karthik Bharath. Seminar date and time: *4**th* * of March at 2pm. *
Below you can find the Abstract and Title. Furthermore, you can find the Teams link to join the seminar.
Best Wishes,
Fabrizio Leisen Professor of Statistics University of Nottingham School of Mathematical Sciences University Park, Nottingham, NG7 2RD, UK
http://sites.google.com/site/fabrizioleisen/
You are cordially invited to the following seminar:
Karthik Bharath <https://www.nottingham.ac.uk/mathematics/people/karthik.bharath> (Internal Seminar) ----> 4th of March *at 2pm*
Title: Shape space and models for functional data
Abstract: Statements such as “death rate curve needs to remain single peaked”; “we expect the second peak of infected cases to be smaller compared to the first”, are, unfortunately, all too familiar nowadays. They represent instances of informal descriptions of shapes of functions we can relate to readily, wherein the notion of shape relates exclusively to ‘y direction’ variation. To formalise this, in this talk, I will consider a group-theoretic description of the shape of a function as that which is left behind once ‘x direction’ variability is ignored: only the number and values of local extrema are relevant to describe its shape and not their timings. Accordingly, the shape of a function is shown to be uniquely encoded by a polynomial, and this connection allows us to study structural aspects of the shape space of functions.
For statistical analysis of functional data (e.g., densely sampled multiple time series data) the upside to this perspective is that (i) a natural dimension reduction mechanism based on local extrema becomes available when analysing amplitudes that avoids the task of registering (or aligning) the data; and (ii) simple finite-dimensional generative shape models can be defined. On the other hand, geometry of the shape space is complicated, and this makes it difficult to compute descriptive statistics (e.g., average shape) and study models induced on the shape space from the original (simpler) function space.
This is joint work with Ian Jermyn (Durham). __________________________________________________ Microsoft Teams meeting Join on your computer or mobile app Click here to join the meeting <https://teams.microsoft.com/l/meetup-join/19%3ameeting_YTYwODYyNDEtYThiZi00NmVhLWFiNDYtYmY0YTBmOTk3MThk%40thread.v2/0?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%22ac48eccb-4345-40d8-88e1-d7a8170bb19a%22%7d> Learn more <https://aka.ms/JoinTeamsMeeting> | Meeting options <https://teams.microsoft.com/meetingOptions/?organizerId=ac48eccb-4345-40d8-88e1-d7a8170bb19a&tenantId=67bda7ee-fd80-41ef-ac91-358418290a1e&threadId=19_meeting_YTYwODYyNDEtYThiZi00NmVhLWFiNDYtYmY0YTBmOTk3MThk@thread.v2&messageId=0&language=en-GB>
-- Fabrizio Leisen Professor of Statistics University of Nottingham School of Mathematical Sciences University Park, Nottingham, NG7 2RD, UK
-- Fabrizio Leisen Professor of Statistics University of Nottingham School of Mathematical Sciences University Park, Nottingham, NG7 2RD, UK http://sites.google.com/site/fabrizioleisen/
participants (1)
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Fabrizio Leisen