Abstract. Let R be a Noetherian ring, I1,...,Ir be ideals of R, and N ⊆ M be finitely generated R-modules. Let S = n∈Nr Sn be a Noetherian standard Nr-graded ring with S0 = R, and M be a f initely generated Zr-graded S-module. For n = (n1,...,nr) ∈ Nr, …
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Artificial Intelligence
Deep Learning
Deep learning is a subfield of machine learning that has achieved remarkable success across a wide range of domains, including computer vision, speech recognition, natural language processing, bioinformatics, and more. In this foundational paper, LeCun, Bengio, and Hinton provide a comprehensive overview of deep learning—its principles, architecture, training methods, and …
Read MoreEconomics
Geopolitical Tensions and Financial Networks: Strategic Shifts Toward Alternatives
Global financial systems are undergoing strategic shifts as geopolitical tensions reshape international trade and payments. The United States (US)-China trade war, sanctions regimes, and rising concerns over the weaponization of financial infrastructures like SWIFT have led countries to seek alternative networks, including China's CIPS and emerging cross-border CBDCs. This letter …
Read MoreRobotics
UniSkill: Imitating Human Videos via Cross-Embodiment Skill Representations
Mimicry is a fundamental learning mechanism in humans, enabling individuals to learn new tasks by observing and imitating experts. However, applying this ability to robots presents significant challenges due to the inherent differences between human and robot embodiments in both their visual appearance and physical capabilities. While previous methods bridge …
Read MoreCryptography and Security
C2RUST-BENCH: A Minimized, Representative Dataset for C-to-Rust Transpilation Evaluation
Despite the effort in vulnerability detection over the last two decades, memory safety vulnerabilities continue to be a critical problem. Recent reports suggest that the key solution is to migrate to memory-safe languages. To this end, C-to-Rust transpilation becomes popular to resolve memory-safety issues in C programs. Recent works propose …
Read MoreGeneral Relativity and Quantum Cosmology
On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
We investigate the effect of rainbow gravity on Klein-Gordon (KG) bosons in the background of the magnetized Bonnor-Melvin (BM) spacetime with a cosmological constant. We first show that the very existence of the sinusoidal term \(\sin^2(\sqrt{2\Lambda}r)\), in the BM space-time metric, suggests that \(\sin^2(\sqrt{2\Lambda}r) \in [0,1],\) which consequently restricts the …
Read MoreComputer Vision and Pattern Recognition
Raspberry PhenoSet: A Phenology-based Dataset for Automated Growth Detection and Yield Estimation
The future of the agriculture industry is intertwined with automation. Accurate fruit detection, yield estimation, and harvest time estimation are crucial for optimizing agricultural practices. These tasks can be carried out by robots to reduce labour costs and improve the efficiency of the process. To do so, deep learning models …
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