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Algorithm No One Knows About (2016)
Here’s a program roughly 0% of programmers know how to write: generate a list of random tweets, without duplication. You may think you know how to do this, but you almost assuredly don’…
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The latest blog posts to take off on Hacker News. 460 posts.
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The Riemann Hypothesis (Part 2)
Note: These pages make extensive use of the latest XHTML and CSS Standards . They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in…
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The Riemann Hypothesis
Note: These pages make extensive use of the latest XHTML and CSS Standards . They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in…
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Exploring Weight Agnostic Neural Networks
Posted by Adam Gaier, Student Researcher and David Ha, Staff Research Scientist, Google Research, Tokyo When training a neural network to accompl...
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Linguistics Using Category Theory (2018)
Note: These pages make extensive use of the latest XHTML and CSS Standards . They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in…
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Math in Data Science
Find out how much math is involved in data science and what math you need to know to get started in a data science role.
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L2 Regularization and Batch Norm
This blog post is about an interesting detail about machine learning that I came across as a researcher at Jane Street - that of the interaction between L2 r...
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The Riemann Hypothesis Says 5040 Is the Last
Note: These pages make extensive use of the latest XHTML and CSS Standards . They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in…
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ProtonMail now offers elliptic curve cryptography
Proton Mail has become the first and only encrypted email provider to support elliptic curve cryptography (ECC), providing more security and performance.
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Calculating the mean of a list of numbers (2016)
You have a list of floating point numbers. No nasty tricks - these aren't NaN or Infinity, just normal "simple" floating point numbers.
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‘A Swiss cheese-like material’ that can solve equations
Engineering professor Nader Engheta and his team have demonstrated a metamaterial device that can function as an analog computer, validating an earlier theory about ‘photonic calculus.’
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Calculating a record-breaking 31.4T digits of Pi with GCP
Pi in the sky: Calculating a record-breaking 31.4 trillion digits of Archimedes’ constant on Google Cloud
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MathML in Chromium
A joint effort to add native MathML-Core support to web browsers.
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Analyzing the chords of 1300 popular songs for patterns
Discover the secrets behind hit music with our popular song chords analysis from 1300 tracks. Your songwriting journey begins here!
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Michael Atiyah has died
We are very sorry to hear of the death of Michael Atiyah. Michael was a giant of mathematics. He held many positions including Savilian Professor of Geometry here in Oxford, President of the Royal Society, Master of Trinity College, Cambridge, the founding Directorship of the Isaac Newton Institute and Chancellor of…
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Use perfect hashing, instead of binary search, for keyword lookup
We've been speculating for a long time that hash-based keyword lookup ought to be faster than binary search, but up to now we hadn't found a suitable tool for generating the hash function. Joerg Sonnenberger provided the inspiration, and sample code, to show us that rolling our own generator wasn't a ridiculous idea…
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Understanding is a poor substitute for convexity (2012)
Something central, very central, is missing in historical accounts of scientific and technological discovery. The discourse and controversies focus on the role of luck as opposed to teleological programs (from telos, "aim"), that is, ones that rely on pre-set direction from formal science. This is a faux-debate: luck…
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How AI Training Scales
Stay up to speed on the rapid advancement of AI technology and the benefits it offers to humanity.
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Learning Concepts with Energy Functions
Stay up to speed on the rapid advancement of AI technology and the benefits it offers to humanity.
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Reinforcement Learning with Prediction-Based Rewards
Stay up to speed on the rapid advancement of AI technology and the benefits it offers to humanity.
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The algebra and calculus of algebraic data types
Just as algebra is fundamental to the whole of mathematics, algebraic data types (ADTs) are fundamental to many common functional programming languages. They’re the primitives upon which all of our richer data structures are built, including everything from sets, maps, and queues, to bloom filters and neural networks .
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The Superinvestors of Graham-and-Doddsville (1984)
Columbia Business School. For over 100 years, we’ve helped develop leaders who create value for business and society at large.