18 papers
Stable Takens' Embedding Theorem for Non-Uniformly-Sampled Linear Systems
Fisher Ng, J. Nathan Kutz
Takens' time-delay embedding theorem provides conditions under which delay-coordinate maps, formed using uniformly-sampled time series of trajectories evolving on attractors of dyn…
mCGCNN: A Dual-Stream Crystal Graph Convolutional Neural Network for the Efficient Prediction of Magnetic Properties of Crystalline Materials
Sourav Mal, Satadeep Bhattacharjee
Magnetic order in crystals is governed by moment-carrying sublattices and ligand-mediated exchange pathways, yet standard crystal graph neural networks treat all atoms homogeneousl…
SR-CGCNN: Shared Recurrent Convolution in Crystal Graph Neural Networks for Materials Property Prediction
Satadeep Bhattacharjee
Crystal graph neural networks predict materials properties by propagating information through local atomic environments. In conventional crystal graph convolutional neural networks…
Uncertainty-Aware Symbolic Regression through Bayesian Support Selection
Satadeep Bhattacharjee
The Sure Independence Screening and Sparsifying Operator (SISSO) framework is a powerful symbolic-regression method for extracting compact and interpretable descriptors from large…
Filtered Spectral Projection for Quantum Principal Component Analysis
Sk Mujaffar Hossain, Satadeep Bhattacharjee
Quantum principal component analysis (qPCA) is commonly formulated as the extraction of eigenvalues and eigenvectors of a covariance-encoded density operator. Yet in many qPCA sett…
Testing the spin-bath view of self-attention: A Hamiltonian analysis of GPT-2 Transformer
Satadeep Bhattacharjee, Seung-Cheol Lee
The recently proposed physics-based framework by Huo and Johnson~\cite{huo2024capturing} models the attention mechanism of Large Language Models (LLMs) as an interacting two-body s…