Published:
Cholesky decomposition is the factorization of a positive-definite, Hermitian matrix into the product of a lower triangular matrix and its conjugate transpose. It is useful in numerous applications including solving linear systems, optimization, and monte-carlo simulations.
Published:
The Roofline Model is a performance model seeking to give the limitations of a specific hardware component in terms of algorithm performance. The model is often employed visually as a log-log plot of Arithmetic Intensity vs Flops/s.
Published:
Sometimes meandering through the labyrinth of life is monotonous and in desperate need of being spiced up. However, this just leads us back to the age old question: what spices should I use?
Published:
Humans are great at writing poetry. However, it takes years of reading and practice to develop a command of the language strong enough to produce great metaphor and imagery, while maintaining proper rythym and meter. Naturally, when faced with a difficult task and/or much effort we seek to automate it. So, can poetry writing be automated? Kind of…
Published:
Part 7 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 6 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 5 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 4 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 3 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 2 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 1 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 0 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 7 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
I love scouring old book stores for cool finds and oddities, but I often worry about missing a diamond in the rough. Unfortunately, there is not enough time to dive into every book in a shop and if we cannot judge a book by its cover, then how are we supposed to judge them by only the spine! As a true computer scientist I decided to build an over-the-top tool to help me out.
Published:
Messing around with guitar pedals and finding fun sound combinations is a blast and often a needed distraction from practicing. Pedals, however, are expensive at $100-300 a pop, which makes it rather difficult to own enough to play around with (or any at all in my case). Guitar stores will let you try some, but it is cumbersome to set up a chain in a store and they will eventually kick you out.
Published:
A fun hobby of mine is trying to create art with code. I am quite poor at the standard approach to art, so I am fond of using what I am good at to create aesthetically pleasing things. It is also fun to just try random things and see what pops out. I particularly appreciate techniques, which expose structure unexpectedly. One example of this is writing functions for red, green, and blue, which take a pixel coordinate and map it to a color value. Just this simple method can create some beautiful and quite unexpected images.
Published:
The simplex algorithm is a fundamental result in linear programming and optimization. Being remarkably efficient the algorithm quickly became a popular technique for solving linear programs. Having an optimal algorithm is essential, since linear programming is ubiquitous in business analytics, supply chain management, economics, and other important fields. In addition to being efficient the algorithm has a clean and intriguing visual intuition. I will first give some background on linear programs, then show how we can visualize their solution space, and finally how to utilize this to solve linear programs.
Published:
Gradient descent has become ubiquitous in computer science recently largely due to its use in training neural networks. While neural networks are somewhat complex, gradient descent is a very simple, intuitive tool.
Published:
A fun hobby of mine is trying to create art with code. I am quite poor at the standard approach to art, so I am fond of using what I am good at to create aesthetically pleasing things. It is also fun to just try random things and see what pops out. I particularly appreciate techniques, which expose structure unexpectedly. One example of this is writing functions for red, green, and blue, which take a pixel coordinate and map it to a color value. Just this simple method can create some beautiful and quite unexpected images.
Published:
Cholesky decomposition is the factorization of a positive-definite, Hermitian matrix into the product of a lower triangular matrix and its conjugate transpose. It is useful in numerous applications including solving linear systems, optimization, and monte-carlo simulations.
Published:
The Roofline Model is a performance model seeking to give the limitations of a specific hardware component in terms of algorithm performance. The model is often employed visually as a log-log plot of Arithmetic Intensity vs Flops/s.
Published:
All-Reduce is the operation of reducing some data across nodes and finishing with the resulting reduction available on all processes.
Published:
Consider a problem of the form
Published:
I love scouring old book stores for cool finds and oddities, but I often worry about missing a diamond in the rough. Unfortunately, there is not enough time to dive into every book in a shop and if we cannot judge a book by its cover, then how are we supposed to judge them by only the spine! As a true computer scientist I decided to build an over-the-top tool to help me out.
Published:
Experimenting with cocktails and the myriads of flavors and presentations can be a delightful culinary avocation. However, stocking a bar is expensive. Different mixing alcohols typically range from 10-50 USD and you also need a swarm of other syrups, garnishes, and toppers. Even with a reasonable selection of bottles one can still find themselves with a lackluster number of cocktails that they can make. After going through this morose experience myself I began to wonder what an ideal set of cocktail ingredients would be. As it turns out this problem can be solved (sort of) with some old fashioned computer science.
Published:
Sometimes meandering through the labyrinth of life is monotonous and in desperate need of being spiced up. However, this just leads us back to the age old question: what spices should I use?
Published:
Part 5 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 4 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 2 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
The Wordle trend has grabbed the attention of an omicron laden society stumbling their way into a new year. It is a fun word game by Josh Wardle where each day a new word is released for people to guess. The daily release schedule, minified design, and simple game mechanics have made the game a viral hit.
Published:
COVID-19 has posed unique challenges to the world and forced people to adapt to new ways of living. For example social distancing has become the norm in public spaces. In the U.S. keeping people 6 feet apart has become a rigid requirement in any social gathering. While sitting at some of these events, I have started to wonder: is this socially distanced arrangement optimal? So I began to investigate.
Published:
Cholesky decomposition is the factorization of a positive-definite, Hermitian matrix into the product of a lower triangular matrix and its conjugate transpose. It is useful in numerous applications including solving linear systems, optimization, and monte-carlo simulations.
Published:
The Roofline Model is a performance model seeking to give the limitations of a specific hardware component in terms of algorithm performance. The model is often employed visually as a log-log plot of Arithmetic Intensity vs Flops/s.
Published:
Part 6 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Cholesky factorization is a core concept in linear algebra and frequently used to solve scientific computing problems. While seemingly the furthest thing from Pascal’s triangle and binomial coefficients there is an interesting link using results from a path finding problem. Furthermore, this can be extended to create fractals and other lovely patterns.
Published:
Cholesky decomposition is the factorization of a positive-definite, Hermitian matrix into the product of a lower triangular matrix and its conjugate transpose. It is useful in numerous applications including solving linear systems, optimization, and monte-carlo simulations.
Published:
March Madness brings about spirited competition amongst friends and family to see who can pick the better basketball tournament bracket. Some pick theirs randomly, some pick by favorite mascot, while others try to use in-depth basketball knowledge to get the edge. At the end of the day, however, there is one winner and many losers.
Published:
Experimenting with cocktails and the myriads of flavors and presentations can be a delightful culinary avocation. However, stocking a bar is expensive. Different mixing alcohols typically range from 10-50 USD and you also need a swarm of other syrups, garnishes, and toppers. Even with a reasonable selection of bottles one can still find themselves with a lackluster number of cocktails that they can make. After going through this morose experience myself I began to wonder what an ideal set of cocktail ingredients would be. As it turns out this problem can be solved (sort of) with some old fashioned computer science.
Published:
The Wordle trend has grabbed the attention of an omicron laden society stumbling their way into a new year. It is a fun word game by Josh Wardle where each day a new word is released for people to guess. The daily release schedule, minified design, and simple game mechanics have made the game a viral hit.
Published:
The simplex algorithm is a fundamental result in linear programming and optimization. Being remarkably efficient the algorithm quickly became a popular technique for solving linear programs. Having an optimal algorithm is essential, since linear programming is ubiquitous in business analytics, supply chain management, economics, and other important fields. In addition to being efficient the algorithm has a clean and intriguing visual intuition. I will first give some background on linear programs, then show how we can visualize their solution space, and finally how to utilize this to solve linear programs.
Published:
After enjoying the incredible season 2 finale of The Mandalorian I was inspired to represent baby yoda in his truest form: mathematical.
Published:
Gradient descent has become ubiquitous in computer science recently largely due to its use in training neural networks. While neural networks are somewhat complex, gradient descent is a very simple, intuitive tool.
Published:
COVID-19 has posed unique challenges to the world and forced people to adapt to new ways of living. For example social distancing has become the norm in public spaces. In the U.S. keeping people 6 feet apart has become a rigid requirement in any social gathering. While sitting at some of these events, I have started to wonder: is this socially distanced arrangement optimal? So I began to investigate.
Published:
Cholesky factorization is a core concept in linear algebra and frequently used to solve scientific computing problems. While seemingly the furthest thing from Pascal’s triangle and binomial coefficients there is an interesting link using results from a path finding problem. Furthermore, this can be extended to create fractals and other lovely patterns.
Published:
All-Reduce is the operation of reducing some data across nodes and finishing with the resulting reduction available on all processes.
Published:
Consider a problem of the form
Published:
Part 5 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 4 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 2 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Messing around with guitar pedals and finding fun sound combinations is a blast and often a needed distraction from practicing. Pedals, however, are expensive at $100-300 a pop, which makes it rather difficult to own enough to play around with (or any at all in my case). Guitar stores will let you try some, but it is cumbersome to set up a chain in a store and they will eventually kick you out.
Published:
Part 6 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
The simplex algorithm is a fundamental result in linear programming and optimization. Being remarkably efficient the algorithm quickly became a popular technique for solving linear programs. Having an optimal algorithm is essential, since linear programming is ubiquitous in business analytics, supply chain management, economics, and other important fields. In addition to being efficient the algorithm has a clean and intriguing visual intuition. I will first give some background on linear programs, then show how we can visualize their solution space, and finally how to utilize this to solve linear programs.
Published:
Gradient descent has become ubiquitous in computer science recently largely due to its use in training neural networks. While neural networks are somewhat complex, gradient descent is a very simple, intuitive tool.
Published:
COVID-19 has posed unique challenges to the world and forced people to adapt to new ways of living. For example social distancing has become the norm in public spaces. In the U.S. keeping people 6 feet apart has become a rigid requirement in any social gathering. While sitting at some of these events, I have started to wonder: is this socially distanced arrangement optimal? So I began to investigate.
Published:
All-Reduce is the operation of reducing some data across nodes and finishing with the resulting reduction available on all processes.
Published:
Consider a problem of the form
Published:
The Roofline Model is a performance model seeking to give the limitations of a specific hardware component in terms of algorithm performance. The model is often employed visually as a log-log plot of Arithmetic Intensity vs Flops/s.
Published:
Humans are great at writing poetry. However, it takes years of reading and practice to develop a command of the language strong enough to produce great metaphor and imagery, while maintaining proper rythym and meter. Naturally, when faced with a difficult task and/or much effort we seek to automate it. So, can poetry writing be automated? Kind of…
Published:
Part 6 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 5 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 4 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 3 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 2 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 1 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 0 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 3 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 1 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 0 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
March Madness brings about spirited competition amongst friends and family to see who can pick the better basketball tournament bracket. Some pick theirs randomly, some pick by favorite mascot, while others try to use in-depth basketball knowledge to get the edge. At the end of the day, however, there is one winner and many losers.
Published:
After enjoying the incredible season 2 finale of The Mandalorian I was inspired to represent baby yoda in his truest form: mathematical.
Published:
Part 7 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
The simplex algorithm is a fundamental result in linear programming and optimization. Being remarkably efficient the algorithm quickly became a popular technique for solving linear programs. Having an optimal algorithm is essential, since linear programming is ubiquitous in business analytics, supply chain management, economics, and other important fields. In addition to being efficient the algorithm has a clean and intriguing visual intuition. I will first give some background on linear programs, then show how we can visualize their solution space, and finally how to utilize this to solve linear programs.
Published:
Part 7 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 6 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 5 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 4 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 3 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 2 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 1 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.
Published:
Part 0 in a collection of posts where I’ll give some of my thoughts and analysis on essays, short stories, novels, movies, etc. It is not really anything academic, but purely for me to practice my writing.