Dear TIs, this will be today's Mittagsseminar. Anton is sick and I have to stay home with him, so the defense will be online. The talk is in English. Cheers Wolfgang -------- Ursprüngliche Nachricht -------- Von: Oskar Besler <besleo00@zedat.fu-berlin.de> Datum: 01.04.25 10:08 (GMT+01:00) An: Oskar Besler <besleo00@zedat.fu-berlin.de> Cc: i-profs@inf.fu-berlin.de, i-wimis@inf.fu-berlin.de, i-studi@inf.fu-berlin.de, maria.koekenhoff@fu-berlin.de Betreff: Re: [i-prof] Invitation to the defense of my master's thesis due to illness, we need to move the thesis defense to an online setting. I apologize for the inconvenience. You’ll find the access link below. Best regards, Oskar Besler Link: https://fu-berlin.webex.com/fu-berlin-en/j.php?MTID=m0f220746197780c52f4f86a0d0b4bf10 Meeting number (access code): 2791 917 0049 Meeting password: Xv5CQZbnV84 (98527926 from phones and video systems) > Dear all, > > I hereby invite you to the defense of my master's thesis with the title > "How to Find a Point Within the Union of Squares Using a Differentially > Private Algorithm". > > The defense will take place on Tuesday, 01.04.2025 at 12:00am in > Takustraße 9, seminar room 055. > > The defense will be held in English. > > First examiner & Supervisor: Prof. Dr. Wolfgang Mulzer > Second examiner: Prof. Dr. László Kozma > > Best regards, > Oskar Besler > > ________________________ > > Abstract: > > Background: In the age of social media and big data, privacy concerns are > a growing > issue as individuals worry about the misuse of their sensitive > information. Differential > privacy is considered the gold standard for privacy protection in data > analysis, as it > provides a mathematical guarantee that an individual will not be > significantly affected > when their sensitive data is used for data analysis. The task of > extracting useful information about a group of people without revealing > meaningful details about individuals > can be described by the private interior point problem, which involves > finding a point > inside a convex hull using a differentially private algorithm. > > Goals: Since data can be represented by more than just points, this thesis > aims to > extend the definition of the private interior point problem by redefining > it as finding > a point inside the union of given squares using a differentially private > algorithm. > > Methods: To achieve this, we will develop and analyze two differential > private algorithms that address two variations of this problem. The first > allows only axis- > aligned squares as input (ASPIP), while the second imposes no restrictions > on the > input squares (SPIP). > > Results: The experiments show that both algorithms perform well in solving > their > respective variation of this problem. Furthermore, the analysis reveals > that a good > bound on the input size can be established if a certain overlap of input > squares is > known beforehand, ensuring that the constraints of differential privacy > are still met. > > Conclusion: Both algorithms provide a good initial step towards better > understanding > this version of the private interior point problem by offering useful > bounds on input > size, as well as acceptable execution time and space usage. However, there > is still > future work that needs to be addressed, such as generalizing this problem > to higher > dimensions. _______________________________________________ Automatischer Mailverteiler an Gruppe 'ml-i-prof-mi'. Hinweise dazu siehe Hilfeseite: https://www.mi.fu-berlin.de/w/Tec/AnkuendigungsVerteiler |