
Explore recent advances in entropic optimal transport, focusing on convergence rates and a novel ODE-based numerical method for multi-marginal problems. Gain insights into theoretical bounds and practical applications.

Explore data-driven modeling techniques integrating classical methods and statistical learning to reconstruct reality in virtual environments, from traffic flow to crowd behaviors and deformation estimation.

Explore stochastic optimization algorithms with adaptive variance for non-convex functions, featuring provable convergence rates and numerical examples.

Explore an advanced $\ell_p$ theory of PCA, improving upon vanilla PCA for heteroscedastic noises and yielding optimal bounds for spectral clustering and community detection.

Explore the Parkes Pulsar Timing Array's latest data release, focusing on gravitational wave detection techniques and results from isotropic stochastic background searches.

Explore gravitational wave detection using Chinese Pulsar Timing Array data. Learn about millisecond pulsar observations, data analysis techniques, and key findings in the search for nanohertz gravitational wave backgrounds.

Explore analytical methods for computing cosmological correlators, including family tree decomposition for nested time integrals in dS and FRW universes.

Explore the Nahm transform's origins and recent extensions to ALF gravitational instantons, enhancing understanding of Yang-Mills instanton moduli spaces.

Explore a geometrical interpretation of universally quantified inequalities and its applications across mathematics, focusing on Shannon entropy and connections to various mathematical branches.

Explore efficient certification of bipartite pure quantum states using untrusted devices, requiring fewer measurements while maintaining reliability in quantum experiments.

Explore analyticity in spin and causality constraints in conformal bootstrap, including applications to operator spectrum and AdS/CFT duality.

Explore the emergence of 1+1D conformal field theory from large N limit of 2+1D Chern-Simons matrix models, including Kac-Moody algebra and holographic duality.

Explore recent advances in learning quantum phenomena, focusing on statistical inference and applications in quantum computation verification.

Explore combinatorial geometries in QFT and string theory, focusing on a new formulation for scattering of colored scalars, pions, and gluons.

Explore giant graviton expansions in gauge-gravity correspondence, uncovering insights into quantum field theory, string theory, and emergent spacetime geometries.

Explore novel tensor-based approach for robust domain generalization in linear regression, addressing challenges in underrepresented populations and achieving reliable, interpretable results with theoretical guarantees.

Explore unidirectional light emission in photonic integration through topological charges, unveiling novel phenomena and applications in next-generation computing.

Explore vortex reconnection in 3D critical Abelian Higgs model, focusing on dynamics of nearly parallel vortex filaments and their collisions in particle physics.

Explore amortized probabilistic inference using large neural networks for complex distributions. Learn about GFlowNets and their potential to improve AI systems with Bayesian and causal understanding.

Explore continuous construction and serving of large-scale knowledge graphs with Saga, an end-to-end platform. Learn about challenges in industrial settings and various graph services.

Explore leadership in responsible AI, focusing on inclusive tech. Learn about algorithmic bias, its societal impacts, and strategies for ethical AI implementation in the digital age.