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0111 · Mar 200019922001200920182026
6 results for SWF

Framework for online resource allocation using social welfare functions.

problem Optimal allocation of resources over time steps in a population.
method Confidence sequence framework for SWF-based online learning and inference, valid for any monotonic, concave, and Lipschitz-continuous SWF.
result Achieves near-optimal regret of ildeO(n+nkT) ilde{O}(n+\sqrt{nkT}) for SWF-agnostic algorithm SWF-UCB.

Generative model improved using Liouville PDE-based sliced-Wasserstein flow.

problem Improving generative models for fair regression.
method Transformed sliced-Wasserstein flow into Liouville PDE-based formalism, handling density estimation with normalizing flows of neural ODE.
result Outperforms in convergence and fairness with reduced variance.

Researchers describe a new method to compute Seiberg-Witten-Floer spectra for a specific class of manifolds.

problem Computing Seiberg-Witten-Floer spectra for a specific class of manifolds.
method Using lattice homology, they provide an explicit combinatorial description of the spectra.
result They calculate Manolescu's κ-invariant for certain connected sums of the spaces.

To an integral homology 3-sphere YY, we assign a well-defined Z\Z-graded (monopole) homology $MH_*(Y, I_{\e}(\T; \e_0))$ whose construction in principle follows from the instanton Floer theory with the dependence of the spectral flow $I_{\e}(\T; \e_0)$, where $\T$ is the unique U(1)-reducible monopole of the Seiberg-…

2000-03-22abs ↗pdf ↗