Mathematics
- The Prime Number Theorem - How Dense Are the Primes? Dec 2020 - 8 min read
- Encoder-Decoder vs Decoder-Only - Why Almost Every Modern LLM Dropped the Encoder Mar 2022 - 8 min read
- Regularization & Dropout - Constraints That Teach You to Generalize Jul 2024 - 18 min read
- Autoencoders - Compress It Down, Build It Back Jul 2024 - 18 min read
- Fractals - Infinite Complexity From Finite Rules Dec 2020 - 7 min read
- Numerical Methods - When Exact Answers Cost Too Much to Compute Dec 2020 - 29 min read
- Lattice Cryptography - Hard Problems That Quantum Computers Can't Crack Dec 2020 - 9 min read
- Elliptic Curves - Geometry Put to Work in Cryptography Dec 2020 - 10 min read
- Random Matrix Theory - When Randomness Itself Has Structure Dec 2020 - 8 min read
- Spectral Graph Theory - What a Graph's Eigenvalues Reveal Dec 2020 - 7 min read
- Gaussian Processes - A Distribution Over Functions, Not Points Mar 2022 - 12 min read
- Confidence Intervals - The Estimate and Its Honest Margin of Error Mar 2022 - 9 min read
- Hypothesis Testing & p-values - The Formal Language of Probably Not a Coincidence Mar 2022 - 11 min read
- Conjugate Priors - Bayesian Updates That Stay in the Same Family Mar 2022 - 9 min read
- High-Dimensional Geometry - Where Your Intuition Breaks Down Dec 2020 - 7 min read
- Bayesian Inference - Updating Your Beliefs the Mathematically Correct Way Mar 2022 - 10 min read
- Maximum Likelihood - The Parameters That Make Your Data Most Probable Mar 2022 - 4 min read
- Martingales - The Math Behind Why Gambling Systems Fail Mar 2022 - 10 min read
- Markov Chains - Where You're Going Depends Only on Where You Are Mar 2022 - 7 min read
- Measure Theory - Probability Without the Hand-Waving Mar 2022 - 6 min read
- Neural Networks as ODEs - Depth as Continuous Time Dec 2020 - 31 min read
- The Wavelet Transform - Frequency Analysis That Knows Where It Is Dec 2020 - 30 min read
- The Z-Transform - Discrete Signals in the Frequency Domain Dec 2020 - 20 min read
- The Laplace Transform - Turning Differential Equations Into Algebra Dec 2020 - 21 min read
- Fourier Analysis - Every Signal Is a Sum of Sines Dec 2020 - 25 min read