A critical workshop on mathematical methods applied to small data setsThe second workshop will reveal different mathematical approaches to the analysis of small data sets in order to make the role of mathematics in this overall process more transparent. At the first workshop we had already discussed the question: When using mathematical methods, how does expert knowledge factor into the results of non-mathematical research? We examined this with regard to small data sets.
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With small data sets, it is not the unmanageability of the data that forces us to use “complex” methods to analyze it. The decision to use mathematics has other reasons. But if given data is only transformed with the help of mathematics using a given algorithm, then the actual gain in knowledge does not lie in the mathematical step. The selection of research objects and their coordination, the selection of the method and the interpretation of the mathematical results are the actual steps of the overall process in which gaining knowledge plays a role. But because these steps are carried out by experts, questions arise about the connection between the mathematical method and our knowledge. Not so much “how” but more “what do you use mathematical methods for?” How do they lead to hypotheses? Are they only used to check the consistency of given hypotheses? How are possible uncertainties negotiated? Is there an open or hidden “physical” connection in the research object that can be modeled mathematically? Is the (perhaps misunderstood) rigor of mathematics used to support one’s own arguments?
Program Committee- Nataša Conrad
- Wolfgang König
- Vijay Natarajan
- Christoph von Tycowicz
- Dennis Mischke
- Marcus Weber
- Sarah Wolf
- Fabian Telschow
- Vikram Sunkara.
Contact
For any questions regarding the workshop, please, do not hesitate to write an eMail to TES_small_data@zib.de
Schedule
Wed. 17.01.202409:00 – 10:00 Registration – Coffee & Hanging Posters
10:00 – 10:30 Short Introduction
10:30 – 12:00 Session “Dynamical Models”
12:00 – 13:30 LUNCH Break
13:30 – 15:00 Session “Large Deviation Theory”
15:00 – 15:30 COFFEE Break
15:30 – 17:00 Session “Topological Data Analysis”
17:00 – 18:30 Workshop Reception
Thu. 18.01.2024COFFEE available
09:00 – 10:30 Session “Geometric Data Analysis”
10:30 – 10:45 Short Break
10:45 – 12:15 Session “Data Temporality”
12:15 – 13:30 LUNCH Break
13:30 – 15:00 Session “Complexity”
15:00 – 15:30 COFFEE Break
15:30 – 17:00 Session “Statistical Inference and Modeling”
17:00 – 18:30 Refreshments / Poster Session (Post-Its / Discussions)
Fri. 19.01.2024COFFEE available
09:00 – 10:30 Session “Uncertainty”
10:30 – 10:45 Short Break
10:45 – 12:00 “Join-In” Discussion
12:00 – 13:00 LUNCH Break / Poster Session (Collecting Post-Its)
13:00 – 14:30 Session “Machine Learning”
14:30 – 15:00 Closing Remarks
Zeit & Ort
17.01.2024 - 19.01.2024
Zuse Institute Berlin (ZIB)
Lecture Hall (Ground Floor)
Takustraße 7, 14195 Berlin