Chi Le
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Related Articles from SNS
On graph products and multi-word-representability
arXiv:2603.29629v4 Announce Type: replace-cross Abstract: The multi-word-representation number $\mu(G)$ of a graph $G$ is the minimum number of word-representable graphs whose union is $G$. We study the behavior of $\mu$ under six standard graph products: the lexicographic, Cartesian, rooted, corona, tensor, and strong products. For the Cartesian and rooted products, we show that $\mu(G_1 \square G_2)=\mu(G_1 \diamond G_2)=\max\{\mu(G_1),\mu(G_2)\}$. For the corona product, we prove that...
Zoned tourist vessel routes could curb invasive marine pests across Galápagos Islands
Zoned tourist vessel routes could curb invasive marine pests across Galápagos Islands Lisa Lock Scientific Editor Robert Egan Associate Editor New research from Edith Cowan University (ECU) has identified a smarter, more effective way to protect fragile marine ecosystems from invasive species—an approach with global relevance for island regions around the world. The study, led by Professor Marnie Campbell, Executive Dean of ECU's School of Science, draws on her long-standing research in the...
Higher airfares and fewer visitors: How the Iran conflict is hitting Southeast Asia tourism
Tourism across Southeast Asia was finally recovering from the pandemic. Now, soaring fuel prices, flight disruptions, and growing economic uncertainty linked to the Iran conflict are threatening to slow demand just as the region enters its crucial summer travel season. Cheap flights, backpacker hostels and beautiful beaches have helped make Southeast Asia one of the world’s most resilient travel regions.
Relaxation Kernel, Spectral Dissipation, and Global Convergence of Blahut--Arimoto Dynamics
arXiv:2604.25106v3 Announce Type: replace Abstract: We develop a spectral theory for continuous- and discrete-time Blahut--Arimoto (BA) dynamics, centered on the relaxation kernel $ \G = \E_p[K^*_X \otimes K^*_X] $. Five main results are established. Along the continuous-time BA flow, the free energy satisfies the exact $ \chi^2 $-dissipation identity $ \dot F_\beta = -\D(q) $, where $ \D(q)=\chi^2(\T q \| q) $ is the Pearson $ \chi^2 $-divergence.
Local and Global Contraction Principles for MCMC Mixing
arXiv:2606.03033v1 Announce Type: new Abstract: We develop a contraction-based framework for proving mixing-time bounds for Markov chain Monte Carlo algorithms. The framework is built around global and local contraction coefficients of Markov kernels under the $\mathsf E_\gamma$-divergence with $\gamma\ge1$. For projected Langevin Monte Carlo on a compact convex domain, we show that Gaussian smoothing yields an explicit global contraction coefficient for the $\mathsf E_\gamma$-divergence....
Doctors thought this kidney drug helped some patients. It may help millions more.
Doctors thought this kidney drug helped some patients. It may help millions more. - Date: - June 8, 2026
Deep learning four decades of human migration
Abstract Human migration is a fundamental driver of global demographic change, shaping population structure, labour markets and social policy across countries1,2,3. Although long-term migration patterns are often linked to economic development4, they can shift rapidly in response to shocks such as conflict, environmental crises and political change5. Despite its importance, migration remains difficult to measure consistently: existing data are sparse, concentrated in high-income settings and...
Amplified Arctic iceberg traffic reshapes benthic biodiversity
Abstract The Arctic is undergoing rapid warming, resulting in retreating sea ice and glaciers1, yet how cryospheric changes propagate into the deep ocean remains poorly understood2. Here we identify a climate-driven mechanism linking accelerating glacier disintegration to an increase in deep-sea hard-bottom habitats far beyond calving fronts. Seafloor observations in Fram Strait show a localized increase in the density and patchiness of dropstones delivered by debris-laden icebergs.