Explorations
research notes, experiments, and technical investigations.
Lacunae
Accelerated MRI Reconstruction from Undersampled K-Space via U-Net
U-Net that reconstructs full MRI scans from 25% of the frequency data.
artificial-intelligence
medicine
mathematics
Random Cartesian UndersamplingK-Space Masking (4x Acceleration)U-Net with Skip ConnectionsL1 Reconstruction LossSSIM / PSNR EvaluationInverse FFT Baseline
PythonPyTorchfastMRIh5pyscikit-imagewandb
Precursor
Cross-Asset Momentum Spillover from Commodities to Sector Equities via Granger Causality
Tests whether commodity price momentum predicts sector equity moves 1–5 days ahead.
finance
economics
mathematics
Granger Causality (F-test)Vector Autoregression (VAR)AIC Lag SelectionDirected Acyclic Graph (DAG)Long/Short BacktestSharpe Ratio & Max Drawdown
Pythonstatsmodelsnetworkxyfinancepandasmatplotlib
Deadzones
Modeling the Seasonal Collapse and Recovery of Gulf Hypoxia from River Nutrient Loading
40-year model tracing Gulf of Mexico dead zones back to Midwest agricultural runoff.
climate
geospatial
mathematics
Random Forest RegressionLeave-One-Out Cross ValidationPearson Correlation AnalysisAnomaly DetectionTime Series Feature EngineeringNetCDF Oceanographic ProcessingGeospatial VisualizationSea Surface Temperature Analysis
Pythonxarraypandasscikit-learnmatplotlibcartopyNumPyJupyterNetCDF4
Grokking
Reproducing Generalization Beyond Overfitting on Modular Arithmetic
Reproduces the phenomenon where a transformer memorizes first, then suddenly generalizes.
artificial-intelligence
mathematics
Transformer (1-layer, 4-head)Modular Arithmetic ClassificationAdamW with High Weight DecayTrain/Val Loss & Accuracy TrackingGrokking Epoch Detection
PythonPyTorchmatplotlib