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Research

PyTorch Time-Series Forecasting: Concepts and Implementation

Technical reference for LSTM-based stock price prediction. Covers data normalization, tensor shapes, training loops, and PyTorch mechanics for recurrent neural networks.

PyTorchLSTMtime seriesmachine learningneural networks
Research

Beyond Equilibrium: Black Hole Thermodynamics for Evolving Spacetimes

Notes synthesizing recent developments in dynamical black hole thermodynamics. Classical formulations using event horizons fail for rapidly evolving black holes. Quasi-local horizons and the generalized first law provide a framework for understanding entropy production in realistic scenarios.

black holesthermodynamicsdynamical horizonsquantum information
Research

Probing Non-Stabilizerness and Spacetime

Notes on arXiv:2304.01175 examining the connection between quantum 'magic' (non-stabilizerness) and entanglement spectrum dynamics. How measuring the flatness of entanglement spectra under Clifford evolution reveals the presence of non-Clifford resources.

quantum informationmagicstabilizer statesentanglement spectrum
Research

Research Journal: Notes on the Path Integral

Working through Feynman's path integral formulation and grappling with why classical mechanics emerges as a limiting case of quantum mechanics. Applications to black hole dynamics.

path integralquantum mechanicsaction principleFeynman