Category Theory for Scientists
An introduction to the abstract language that unifies mathematics — functors, morphisms, and natural transformations explained for the working scientist.
Research · Writing · Mathematics
Alexandra
Researcher
I work at the intersection of machine learning theory, statistical physics, and differential geometry — building mathematical frameworks for understanding how learning systems generalize.
Featured Equation
$$\mathcal{L}(\theta) = -\frac{1}{n}\sum_{i=1}^{n} \log p_\theta(x_i) + \lambda \|\theta\|^2$$
Regularized negative log-likelihood
24
Papers
312
Blog Posts
7
Years
Research Topics
Recent Writing
All Posts →Optimization Landscapes and Gradient Flow
Visualizing loss surfaces in high dimensions and understanding the dynamics of gradient descent through the lens of dynamical systems theory.
Information Theory and Machine Learning
How entropy, mutual information, and KL divergence form the mathematical backbone of modern learning algorithms — from PAC bounds to variational inference.
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