Simulating coupled PDE systems is computationally intensive, and prior efforts have largely focused on training surrogates on the joint (coupled) data, which requires a large amount of data. In the paper, we study compositional diffusion approaches where diffusion models are only trained on the decoupled PDE data and are composed at inference time to recover the coupled field. Specifically, we investigate whether the compositional strategy can be feasible under long time horizons involving a large number of time steps. In addition, we compare a baseline diffusion model with that trained using the v-parameterization strategy. We also introduce a symmetric compositional scheme for the coupled fields based on the Euler scheme. We evaluate on Reaction-Diffusion and modified Burgers with longer time grids, and benchmark against a Fourier Neural Operator trained on coupled data. Despite seeing only decoupled training data, the compositional diffusion models recover coupled trajectories with low error. v-parameterization can improve accuracy over a baseline diffusion model, while the neural operator surrogate remains strongest given that it is trained on the coupled data. These results show that compositional diffusion is a viable strategy towards efficient, long-horizon modeling of coupled PDEs.

When you purchase through links in our articles, we may earn a small commission. The devices bring wireless installation and familiar Wyze features like AI detection and local storage to the outdoors. Wyze Labs expands its budget-priced smart home security lineup this week with two new wireless outdoor cameras: the Battery Video Doorbell and the Solar Cam Pan pan/tilt camera. The Wyze Battery Video Doorbell is built for easy installation and full front-door coverage. The doorbell can operate wire-free for three to six months on a charge, or you can connect it to your existing low-voltage wiring for continuous power.

Found Energy, a startup in Boston, aims to harness the energy in scraps of aluminum metal to power industrial processes without fossil fuels. Since 2022, the company has worked to develop ways to rapidly release energy from aluminum on a small scale. Now it's just switched on a much larger version of its aluminum-powered engine, which it claims is the largest aluminum-water reactor ever built. Early next year, it will be installed to supply heat and hydrogen to a tool manufacturing facility in the southeastern US, using the aluminum waste produced by the plant itself as fuel. If everything works as planned, this technology, which uses a catalyst to unlock the energy stored within aluminum metal, could transform a growing share of aluminum scrap into a zero-carbon fuel. Rondo Energy just turned on what it says is the world's largest thermal battery, an energy storage system that can take in electricity and provide a consistent source of heat.

How much of Europe's oil still comes from Russia? The European Union is preparing to adopt a new round of sweeping sanctions against Russian energy exports on Thursday, a day after United States President Donald Trump imposed similar measures against Moscow amid setbacks to his efforts at diplomacy with Vladimir Putin. These steps come as Russia and Ukraine are increasingly targeting each other's energy infrastructure in an attempt to make it economically harder to wage war. On the ground, Russia's war in Ukraine remained stagnant. Russia claimed it had taken another handful of villages during the past week - Tykhe and Pishchane in Kharkiv, Novopavlivka, Chunyshyne and Pleshcheyevka in Donetsk, Poltavka in Zaporizhia and Privillia in Dnipropetrovsk. On the whole, however, Ukrainian front lines remained resilient and Russia scored no major breakthrough.

We got a sneak peek inside Found Energy's lab, just as it gears up to supply heat and hydrogen to its first customer. The crushed-up soda can disappears in a cloud of steam and--though it's not visible--hydrogen gas. "I can just keep this reaction going by adding more water," says Peter Godart, squirting some into the steaming beaker. "This is room-temperature water, and it's immediately boiling. Doing this on your stove would be slower than this." Godart is the founder and CEO of Found Energy, a startup in Boston that aims to harness the energy in scraps of aluminum metal to power industrial processes without fossil fuels.

Blackouts hit Russia's Belgorod as Ukrainian drone attacks surge Residents of Russia's Belgorod region say blackouts, air-raid sirens and the sound of gunfire aimed at incoming Ukrainian drones are becoming increasingly common, as Kyiv retaliates against repeated bombardments of its cities with cross-border strikes of its own. It's so loud and so terrifying, says Nina, a Belgorod resident who asked us to change her name. I was coming back from the clinic when a siren went off. As usual, I received Telegram alerts about a drone attack. Then bursts of automatic gunfire broke out, I ran into a nearby courtyard and tried to hide under an arch, she recalls.

Masked graph modeling (MGM) is a promising approach for molecular representation learning (MRL).However, extending the success of re-mask decoding from 2D to 3D MGM is non-trivial, primarily due to two conflicting challenges: avoiding 2D structure leakage to the decoder, while still providing sufficient 2D context for reconstructing re-masked atoms. To address these challenges, we propose 3D-GSRD: a 3D Molecular Graph Auto-Encoder with Selective Re-mask Decoding. The core innovation of 3D-GSRD lies in its Selective Re-mask Decoding(SRD), which re-masks only 3D-relevant information from encoder representations while preserving the 2D graph structures. This SRD is synergistically integrated with a 3D Relational-Transformer(3D-ReTrans) encoder alongside a structure-independent decoder. We analyze that SRD, combined with the structure-independent decoder, enhances the encoder's role in MRL. Extensive experiments show that 3D-GSRD achieves strong downstream performance, setting a new state-of-the-art on 7 out of 8 targets in the widely used MD17 molecular property prediction benchmark. The code is released at https://github.com/WuChang0124/3D-GSRD.

Neural activity forecasting is central to understanding neural systems and enabling closed-loop control. While deep learning has recently advanced the state-of-the-art in the time series forecasting literature, its application to neural activity forecasting remains limited. To bridge this gap, we systematically evaluated eight probabilistic deep learning models, including two foundation models, that have demonstrated strong performance on general forecasting benchmarks. We compared them against four classical statistical models and two baseline methods on spontaneous neural activity recorded from mouse cortex via widefield imaging. Across prediction horizons, several deep learning models consistently outperformed classical approaches, with the best model producing informative forecasts up to 1.5 seconds into the future. Our findings point toward future control applications and open new avenues for probing the intrinsic temporal structure of neural activity.

The rapid escalation of computational requirements for training large-scale language models has reinforced structural asymmetries between high-capacity jurisdictions and countries in the Global South. This paper examines the technical and fiscal feasibility of sovereign-scale language model training in Brazil and Mexico under conditions of constrained hardware access, energy availability, and fiscal ceilings. Using a dual-axis design that varies accelerator generation (NVIDIA H100 vs. A100) and training duration (90 vs. 150 days), we estimate compute demand, energy consumption, capital expenditures, and regulatory compatibility for the training of a 10-trillion-token model. Our findings show that while all configurations remain below export-control and electrical infrastructure thresholds, fiscal viability is determined by hardware efficiency. H100-based scenarios achieve training feasibility at a total cost of 8-14 million USD, while A100 deployments require 19-32 million USD due to higher energy and hardware demand. We argue that extending training timelines should be treated as a policy lever to mitigate hardware constraints, enabling the production of usable, auditable, and locally aligned models without competing at the global frontier. This study contributes to the discourse on AI compute governance and technological sovereignty by highlighting context-sensitive strategies that allow middle-income countries to establish sustainable and strategically sufficient AI capabilities.

HAPS are emerging as key enablers in the evolution of 6G wireless networks, bridging terrestrial and non-terrestrial infrastructures. Operating in the stratosphere, HAPS can provide wide-area coverage, low-latency, energy-efficient broadband communications with flexible deployment options for diverse applications. This survey delivers a comprehensive overview of HAPS use cases, technologies, and integration strategies within the 6G ecosystem. The roles of HAPS in extending connectivity to underserved regions, supporting dynamic backhauling, enabling massive IoT, and delivering reliable low-latency communications for autonomous and immersive services are discussed. The paper reviews state-of-the-art architectures for terrestrial and non-terrestrial network integration, highlights recent field trials. Furthermore, key enabling technologies such as channel modeling, AI-driven resource allocation, interference control, mobility management, and energy-efficient communications are examined. The paper also outlines open research challenges. By addressing existing gaps in the literature, this survey positions HAPS as a foundational component of globally integrated, resilient, and sustainable 6G networks.