Gregarious Abstract
Last edited: August 8, 2025In this experiment, an efficient and accurate network of detecting automatically disseminated (bot) content on social platforms is devised. Through the utilisation of parallel convolutional neural network (CNN) which processes variable n-grams of text 15, 20, and 25 tokens in length encoded by Byte Pair Encoding (BPE), the complexities of linguistic content on social platforms are effectively captured and analysed. With validation on two sets of previously unexposed data, the model was able to achieve an accuracy of around 96.6% and 97.4% respectively — meeting or exceeding the performance of other comparable supervised ML solutions to this problem. Through testing, it is concluded that this method of text processing and analysis proves to be an effective way of classifying potentially artificially synthesized user data — aiding the security and integrity of social platforms.
grid search
Last edited: August 8, 2025grid search is a hyperparameter tuning technique by trying pairs of all hyperparemeters sequentially
group
Last edited: August 8, 2025components
requirements for group
- closed: if \(a,b \in G\), then \(a \cdot b \in G\)
- existence of identity: there is \(e \in G\) such that \(e\cdot a= a\cdot e = a\), for all \(a \in G\)
- existence of inverses: there is \(b \in G\) for all \(a \in G\) such that \(a\cdot b = b\cdot a = e\)
- associative: \((a\cdot b)\cdot c = a\cdot (b\cdot c)\) for all \(a,b,c \in G\)
additional information
identity in group commutates with everything (which is the only commutattion in groups
Group Theory Index
Last edited: August 8, 2025Notes on MATH 109, group theory.
Lectures
PSets
These links are dead.
Course logistics
- midterm: November 1st, final: December 14th, 8:30-11:30
- WIM assignment: December 8th, start of class (no late submissions)
- PSets: 8 in total, posted on Wednesdays at 8A, due following Tuesday at 8A
grouping
Last edited: August 8, 2025“Stuffing some stuff into buckets”
How many ways are there to sort \(n\) distinct objects to \(r\) buckets?
\begin{equation} r^{n} \end{equation}
grouping with entirely indistinct objects
You can simply reframe the grouping problem as permutation of the objects with \(r-1\) dividers along with your old \(n\) objects.
i.e.: sort this thing —

So:
\begin{equation} \frac{(n+r-1)!}{n! (r-1)!} \end{equation}
