Solving the Kahn-Kalai Conjecture in Probabilistic Combinatorics
(T) Very simply said, the Kahn-Kalai conjecture explores if a random graph is likely to have some sort of interesting structure such as it will contain a triangle, or it […]
The Mathematics of Alexandre Grothendieck
(T) While everyone would agree that Albert Einstein was probably one the most influential physicists of the 20th century, it might be more difficult for most folks to come up […]
Graph Neural Networks (GNNs)
(T) Graphs have recently been “the big thing” for deep learning. There are perfect examples of machine learning applications in the Non-Euclidian space. Graphs have been used to predict friends […]
Machine Learning in Non-Euclidian Spaces
(T) The fundamental representation of any feature for any machine learning model is the vector and its multidimensional generalization which is the tensor. This has led to developing machine learning […]
Causal Inference Use Cases from Technology to Business
(T) I wish I could have an application that would help me to explore the causal relationships of various inputs on an outcome, so that I could play between different […]
Attempts to Solve the Collatz Conjecture
(E) Named after German mathematician Lothar Collatz who introduced it in 1937, the Collatz conjecture is one of those fun math problems that are simple to explain but very difficult […]
A New Algorithm for the TSP (Traveling Saleperson)
(E) Quanta Magazine has a new interesting article “Computer Scientists Break Traveling Salesperson Record“. The new record was broken by PhD student Nathan Klein and his advisers from the University […]
Exploring Causal Inference for Business Decisions
(B) I had the great privilege, while being a student at UCLA, to have Professor Judea Pearl as a professor. A few years after I graduated from UCLA, Professor Pearl […]
Prof. Daskalakis Winning the 2018 Nevanlinna Prize
(T) Every four years at the International Congress of Mathematicians (ICM), the Nevanlinna Prize laureate is announced. This week, at the 2018 ICM in Rio de Janeiro, it was announced […]
Prof. Birkar, Figalli, Scholze, and Venkatesh Winning the 2018 Fields Medals
(T) Every four years at the International Congress of Mathematicians (ICM), the Fields Medal laureates are announced. This week, at the 2018 ICM in Rio de Janeiro, it was announced […]
The Shape of Data
(T) Data has shape. Shape reveals a pattern. That pattern provides insights into the data. This is what and why Topology Data Analysis (TDA) does. TDA attempts to find the […]
Changing the World after 50!
(E) The New Yorker has an excellent article “The Pursuit of Beauty” and a fun video to watch this week about the life of Yitang Zhang, from the University of New […]
Prof. Mirzakhani Avila Bhargava and Hairer Winning the 2014 Fields Medals
(E) We only hear about great mathematicians when they receive their Fields Medals or they solve a challenging problem. This year winners of the Fields Medals, awarded to the new generation […]
Mathematics is Still Essential for Science and Technology to Progress
(E) We only hear about great mathematicians when they receive their Fields Metals or they solve a challenging problem. This week the four Field Metals winners, the equivalent of the Noble Prize […]
Fractal Geometry Beautiful Simple and Powerful
(E) Fractal Geometry establishes the repetition of geometric patterns at different scales so common in nature around us. Stones look like rocks and rocks like mountains. Small branches look like […]
A Silicon Valley Insider 