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ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models
arXiv:2606.08685v1 Announce Type: new Abstract: We study a numerical method, built on the tensor neural network (TNN) architecture introduced in \cite{wang2022tensor}, for solving nonlocal diffusion models in high-dimensional spaces. The tensor-product structure of the TNN ansatz, combined with the separability of the Gaussian kernel, reduces the high-dimensional integrals in the nonlocal energy to products of low-dimensional integrals, which are evaluated by Gauss--Legendre quadrature;...
SC collegium recommends 10 new judges for three HCs
Supreme Court collegium led by Chief Justice of India Surya Kant has recommended names of 10 advocates and judicial officers for appointment as judges of high courts (HCs) in Karnataka, Himachal Pradesh and Madhya Pradesh. The collegium, also comprising Justices Vikram Nath and J K Maheshwari, on Tuesday recommended names of six advocates — Raghavendra Seetharam Srivatsa, Hema Kulkarni, Subramanya Rangarao, Thadagavadi Prakash Vivekananda, Bakkeswara Pramod, and Hombe Gowda Shanthi Bhushan —...
Hormuz shut, shipping services through other routes to West Asia up 2x
Shipping services from India to alternative West Asian ports have more than doubled since conflict broke out in the region, severely impacting the movement of vessels through the Strait of Hormuz. The number of shipping services operating east of Hormuz and through the Red Sea rose from 127 in Feb to 257 in April and 245 in May, as per govt data. The shipping ministry said due to the conflict, shipping services west of Hormuz have become negligible, but there has been a significant increase...
With 5 judge appointments, SC's strength increases to 37
The law ministry on Monday notified the appointment of five judges for Supreme Court, taking the strength of the apex court to 37, including the Chief Justice of India. The five new judges who will assume charges after taking oath on Tuesday are senior advocate Venkita Subramani Mohana, and four high court chief justices - Justice Shree Chandrashekhar of Bombay HC, Justice Sheel Nagu of Punjab & Haryana HC, Justice Sanjeev Sachdeva of Madhya Pradesh HC, and Justice Arun Palli of J&K and...
Flex-fuel vehicles practical solution to reduce crude imports: Hardeep Singh Puri
Petroleum minister Hardeep Singh Puri on Wednesday said flex-fuel vehicles offer India a practical way to reduce crude oil imports. He said if even 1% of annual petrol vehicle sales shift to the technology, it would generate demand for four crore litres of ethanol and save Rs 195 crore in foreign exchange each year. Puri also said this would lead to a reduction of approximately 0.3 lakh metric tonnes in crude oil imports and net reduction of nearly 0.9 lakh metric tonnes of CO2 emissions.
Japan PM may visit India next month for talks with PM Modi
Takaichi Sanae is likely to visit India next month for a summit meeting with her counterpart Narendra Modi. While a confirmation from Indian authorities is still awaited, Japanese media reported that the summit meeting with PM Modi will take place in Assam. "Govt sources say arrangements are underway for Takaichi to visit the northeastern state to hold her second in-person meeting with Modi," said a report by NHK.
Mallikarjun Kharge among 7 Congress nominees for Rajya Sabha polls
Congress has announced names of seven candidates for upcoming RS elections. Party chief Mallikarjun Kharge will file his nomination for RS from Karnataka. Local candidate Mansoor Ali Khan and AICC spokesman Pawan Khera are the other two candidates from Karnataka.
500 ethanol pumps by year-end: Union minister Hardeep Singh Puri
Around 500 ethanol dispensing stations (E100) will be set up in the country by Dec and 5,000 by 2027, petroleum minister Hardeep Singh Puri said Thursday. The move is aimed at accelerating penetration of flex fuel vehicles (FFVs). Puri made the announcement at launch of India’s first flex-fuel car — WagonR by Maruti Suzuki — which can run on ethanol blended fuel beyond the current 20% threshold, signalling a fresh push to put more ethanol at pumps and less imported fuel in vehicles.