Momentum-space Daubechies wavelets enable a Hamiltonian truncation for 1+1D phi^4 theory that captures the strong-coupling phase transition with converging critical coupling.
SIAM, 1992
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A multiscale framework for probability measures in Wasserstein spaces is developed, including a refinement operator preserving geodesic structure and an optimality number for detecting non-geodesic dynamics across scales.
The work introduces uncertainty-aware foundation models for clinical data by learning set-valued patient representations that enforce consistency across partial observations and integrate multimodal self-supervised objectives.
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Hamiltonian formulation of the $1+1$-dimensional $\phi^4$ theory in a momentum-space Daubechies wavelet basis
Momentum-space Daubechies wavelets enable a Hamiltonian truncation for 1+1D phi^4 theory that captures the strong-coupling phase transition with converging critical coupling.
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Multiscaling in Wasserstein Spaces
A multiscale framework for probability measures in Wasserstein spaces is developed, including a refinement operator preserving geodesic structure and an optimality number for detecting non-geodesic dynamics across scales.
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Uncertainty-Aware Foundation Models for Clinical Data
The work introduces uncertainty-aware foundation models for clinical data by learning set-valued patient representations that enforce consistency across partial observations and integrate multimodal self-supervised objectives.