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Author: Julian

UncategorizedSeptember 25, 2020

On the 2D Rotation Rounding Problem

Here’s a simple dynamical system. You start with a 2D integer vector . Now you rotate this vector around the origin by a fixed angle. This gives you a vectorContinue readingOn the 2D Rotation Rounding Problem

UncategorizedJuly 9, 2020

How Come Deep Neural Networks Generalize?

This is a short review of the paper Understanding Deep Learning Requires Rethinking Generalization by Zhang et al, published in ICLR 2017, which I wrote as part of the applicationContinue readingHow Come Deep Neural Networks Generalize?

UncategorizedJune 10, 2020

Qubits and the Kernel Trick: The power of working in a bigger space

I’ve been reading Mermin’s account of Deutsch’s Problem, and it’s given me a new insight into where the power of quantum computing comes from. If you look at the originalContinue readingQubits and the Kernel Trick: The power of working in a bigger space

UncategorizedApril 22, 2020

Book Review: T. Tembarom by Frances Hodgson Burnett

Frances Hodgson Burnett (henceforth FHB) is well known as the author of The Little Princess and The Secret Garden, which are books I vaguely remember as classics from my childhoodContinue readingBook Review: T. Tembarom by Frances Hodgson Burnett

MathMay 16, 2018

Summer Project 2018 : Intro

A lot of people have been asking me what I’m going to be doing this summer, and I have been very vague, for the excellent reason that until today, IContinue readingSummer Project 2018 : Intro

UncategorizedSeptember 23, 2017

Indian Logic

Epistemic Status: Spitballing about deep philosophical questions A couple weeks ago, at a frisbee tournament, a teammate of mine called Deepak told me about his studies in Indian logic, byContinue readingIndian Logic

FictionMarch 27, 2017

A Perfect Moment

December 2048, a city in the Northern Hemisphere “Eeek! You’re bleeding, Jonathan!” she said, tottering into the living room, fumbling the door shut against the chill and gloom. No NoContinue readingA Perfect Moment

UncategorizedOctober 9, 2016

A Carrot of Some Consequence

A CARROT OF SOME CONSEQUENCE —————————————————– A short skit by Julian Cast of Characters Arpita woman about 50 years old . Ranjan man about 50 years old . Husband ofContinue readingA Carrot of Some Consequence

UncategorizedApril 30, 2016

How much kale is consumed in Africa?

I originally wrote this post in 2016, before I started college. Overall, I’m still pretty happy with it! I think it illustrates the important principle that the quality of anContinue readingHow much kale is consumed in Africa?

MathMarch 30, 2016

Poisoned Cookies

Here’s an interesting puzzle which was part of the application for SPARC 2016. (Applications are now closed) Suppose you have 240 cookie jars, one of which has been poisoned, soContinue readingPoisoned Cookies

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