Category investing portfolio management

Trend Following Strategies: Hidden Protection for Long-Term Investors

Last week I came across a fascinating research paper, “Tail Protection for Long Investors: Trend Convexity at Work” by researchers from Capital Fund Management. As someone who’s weathered multiple market...

Category trading strategies

Trend Following Strategies: Hidden Protection for Long-Term Investors

Last week I came across a fascinating research paper, “Tail Protection for Long Investors: Trend Convexity at Work” by researchers from Capital Fund Management. As someone who’s weathered multiple market...

Category risk management

Trend Following Strategies: Hidden Protection for Long-Term Investors

Last week I came across a fascinating research paper, “Tail Protection for Long Investors: Trend Convexity at Work” by researchers from Capital Fund Management. As someone who’s weathered multiple market...

Category machine learning

Why Momentum Works: The Physics of Optimization

Gradient descent is the workhorse of modern machine learning, but vanilla gradient descent often struggles with challenges like saddle points, ravines, and local minima. Momentum-based methods address these limitations through...

Category optimization algorithms

Why Momentum Works: The Physics of Optimization

Gradient descent is the workhorse of modern machine learning, but vanilla gradient descent often struggles with challenges like saddle points, ravines, and local minima. Momentum-based methods address these limitations through...

Category deep learning

Why Momentum Works: The Physics of Optimization

Gradient descent is the workhorse of modern machine learning, but vanilla gradient descent often struggles with challenges like saddle points, ravines, and local minima. Momentum-based methods address these limitations through...

Category quantum physics

The Feynman Path Integral: Revolutionizing Our Understanding of Quantum Mechanics

Richard Feynman’s path integral formulation stands as one of the most elegant and profound reformulations of quantum mechanics ever conceived. Unlike the traditional Schrödinger equation approach, path integrals offer an...

Quantum Gravity and Spin Networks: Weaving the Fabric of Spacetime

Imagine zooming into the fabric of spacetime itself, magnifying it by a factor of $10^{35}$—from human scales down to the Planck length of approximately $1.6 \times 10^{-35}$ meters. What would...

Category theoretical physics

The Feynman Path Integral: Revolutionizing Our Understanding of Quantum Mechanics

Richard Feynman’s path integral formulation stands as one of the most elegant and profound reformulations of quantum mechanics ever conceived. Unlike the traditional Schrödinger equation approach, path integrals offer an...

Quantum Gravity and Spin Networks: Weaving the Fabric of Spacetime

Imagine zooming into the fabric of spacetime itself, magnifying it by a factor of $10^{35}$—from human scales down to the Planck length of approximately $1.6 \times 10^{-35}$ meters. What would...

Category mathematics

The Feynman Path Integral: Revolutionizing Our Understanding of Quantum Mechanics

Richard Feynman’s path integral formulation stands as one of the most elegant and profound reformulations of quantum mechanics ever conceived. Unlike the traditional Schrödinger equation approach, path integrals offer an...

Quantum Gravity and Spin Networks: Weaving the Fabric of Spacetime

Imagine zooming into the fabric of spacetime itself, magnifying it by a factor of $10^{35}$—from human scales down to the Planck length of approximately $1.6 \times 10^{-35}$ meters. What would...