“The paper formulates the covariant hydrodynamics equations as an intersection problem on an infinite dimensional symplectic manifold associated with spacetime.”

“The paper derives a Pontryagin maximum principle on the belief space, providing necessary conditions for optimality in this hybrid setting.”

“Dream2Flow overcomes the embodiment gap and enables zero-shot guidance from pre-trained video models to manipulate objects of diverse categories-including rigid, articulated, deformable, and granular.”

“The proposed framework achieves superior performance over conventional sensing methods with reduced sensing power.”

“The proposed HOOA achieves significant improvements, which reduces average task completion delay by 2.5% and average energy consumption by 3.1% compared with the best-performing benchmark approach and state-of-the-art DRL algorithm, respectively.”

“The paper derives closed-form BF structures and develops an efficient first-order algorithm to achieve high-quality local solutions.”

“The paper shows that the Pontryagin index emerges as an integer infrared winding, such that the resulting holonomy phase is quantized by Q∈Z and reproduces the standard weight e^{iθQ}.”

“The paper identifies an additional contribution originating from a relative rotation in the polarization vectors, formulating this effect as a gravitational holonomy associated to the internal Lorentz group.”

“The paper formulates a unified taxonomy for pre-training paradigms, ranging from single-modality baselines to sophisticated unified frameworks.”

“SiLRI effectively exploits human suboptimal interventions, reducing the time required to reach a 90% success rate by at least 50% compared with the state-of-the-art RL method HIL-SERL, and achieving a 100% success rate on long-horizon manipulation tasks where other RL methods struggle to succeed.”

“The paper formulates a gauge-invariant expression for the orbital magnetic octupole moment and links it to a higher-rank Hall response induced by spatially nonuniform electric fields.”

“DiffThinker significantly outperforms leading closed source models including GPT-5 (+314.2%) and Gemini-3-Flash (+111.6%), as well as the fine-tuned Qwen3-VL-32B baseline (+39.0%), highlighting generative multimodal reasoning as a promising approach for vision-centric reasoning.”

“Simulation results show that shared-standby redundancy outperforms the conventional dedicated-active approach by up to 84%.”

“The paper derives an exact semidefinite characterization of nonnegative APS and introduces a derivative-based regularizer that promotes smoothly varying APS profiles while preserving transitions of clusters.”

“CRMS reduces latency by over 14% and improves energy efficiency compared with heuristic and search-based baselines.”

“BOAD outperforms single-agent and manually designed multi-agent systems. On SWE-bench-Live, featuring more recent and out-of-distribution issues, our 36B system ranks second on the leaderboard at the time of evaluation, surpassing larger models such as GPT-4 and Claude.”

“Numerical results indicate that incorporating MAs yields additional performance improvements for RSMA, and MA assistance yields a greater performance gain for RSMA relative to SDMA.”

“The paper provides the explicit form of the resolvent in all possible regimes.”

“FedORA formulates the removal of certain samples or labels as a constrained optimization problem solved using a primal-dual framework.”

“The online control problem is formulated as a convex optimization problem, despite the nonlinearity of the system dynamics and the original economic cost function.”

“The paper presents "experimentally validated performance models that can predict the inference performance under given block placement and request routing decisions."”

“The optimal antenna placement is in principle an electrostatic equilibrium problem.”