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Local Recovery of Magnetic Invariants from Local Length Measurements in Non-Reversible Randers Metrics
Aymane Touat
We study a purely local inverse problem for non-reversible Randers metrics \( F = \|\cdot\|_g + \beta \) defined on smooth oriented surfaces. Using only the lengths of sufficiently small closed curves around a point \( p \), we prove that the exterior derivative \( d\beta(p) \) can be uniquely and stably recovered. Moreover, we establish that \( d\beta(p) \) is the only second-order local invariant retrievable from such local length measurements. Our approach is entirely metric-based, independent of geodesic flows or boundary data, and naturally extends to general curved surfaces.
We study a purely local inverse problem for non-reversible Randers metrics \( F = \|\cdot\|_g + \beta \) defined on smooth oriented surfaces. Using only the lengths of sufficiently small closed curves around a point \( p \), we prove that the exterior derivative \( d\beta(p) \) can be uniquely and stably recovered. Moreover, we establish that \( d\beta(p) \) is the only second-order local invariant retrievable from such local length measurements. Our approach is entirely metric-based, independent of geodesic flows or boundary data, and naturally extends to general curved surfaces.
Posted: 01 January 2026
The Atemporal Tablet Framework: A Geometric Approach to Emergent Spacetime and Quantum Mechanics
Amir Hameed Mir
Posted: 01 January 2026
Comparative Analysis for Forecasting Apple Prices in the Indian Market Using the SARIMA, ETS, and LSTM Model
Suraj Arya
,Nisha Soni
,Sahimel Azwal Bin Sulaiman
,Dedek Andrian
Posted: 01 January 2026
An Auto-Associative Unit-Merge Network
Kieran Greer
This paper describes a new auto-associative network called a Unit-Merge Network. It is so-called because novel compound keys are used to link 2 nodes in 1 layer, with 1 node in the next layer. Unit nodes at the base store integer values that can represent binary words. The word size is critical and specific to the dataset and it also provides a first level of consistency over the input patterns. A second cohesion network then links the unit nodes list, through novel compound keys that create layers of decreasing dimension, until the top layer contains only 1 node for any pattern. Thus, a pattern can be found using a search and compare technique through the memory network. The Unit-Merge network is compared to a Hopfield network and a Sparse Distributed Memory (SDM). It is shown that the memory requirements are not unreasonable and that it has a much larger capacity than a discrete Hopfield network, for example. It can store sparse data, deal with noisy input and a complexity of O(log n) compares favourably with these networks. This is demonstrated with test results for 4 benchmark datasets. Apart from the unit size, the rest of the configuration is automatic, and its simplistic design could make it an attractive option for some applications.
This paper describes a new auto-associative network called a Unit-Merge Network. It is so-called because novel compound keys are used to link 2 nodes in 1 layer, with 1 node in the next layer. Unit nodes at the base store integer values that can represent binary words. The word size is critical and specific to the dataset and it also provides a first level of consistency over the input patterns. A second cohesion network then links the unit nodes list, through novel compound keys that create layers of decreasing dimension, until the top layer contains only 1 node for any pattern. Thus, a pattern can be found using a search and compare technique through the memory network. The Unit-Merge network is compared to a Hopfield network and a Sparse Distributed Memory (SDM). It is shown that the memory requirements are not unreasonable and that it has a much larger capacity than a discrete Hopfield network, for example. It can store sparse data, deal with noisy input and a complexity of O(log n) compares favourably with these networks. This is demonstrated with test results for 4 benchmark datasets. Apart from the unit size, the rest of the configuration is automatic, and its simplistic design could make it an attractive option for some applications.
Posted: 01 January 2026
Enhancing Contactless Transaction Security: A Lightweight Authentication Approach
Abhigyan Mukherjee
Posted: 01 January 2026
An Innovative Electronic Payment Framework for Secure Peer-to-Peer Transactions
Abhigyan Mukherjee
Posted: 01 January 2026
Security Architecture and Vulnerabilities of NFC Applications for Mobile Devices
Abhigyan Mukherjee
Posted: 01 January 2026
SOMA-DR: Decision Receipts for Explainable Recovery and Key Rotation in Post-Quantum IAM
SravanaKumar Nidamanooru
Posted: 01 January 2026
An Approximation to Riemann Hypothesis
Li An-Ping
Posted: 31 December 2025
Mitigating Correlation Bias in Advertising Recommendation via Causal Modeling and Consistency-Aware Learning
Sijia Li
,Yutong Wang
,Yue Xing
,Ming Wang
Posted: 31 December 2025
AI as a Real-Time Data Curator and Tutor: A Technical Framework for Immersive Analytics Learning
Al Khan
Posted: 31 December 2025
Microarchitectural Feedback-Driven Kernel Fuzzing Using Branch Buffer Telemetry
Marco Rinaldi
,Elena Conti
,Giovanni Ferraro
Posted: 31 December 2025
Adaptive Workflow Allocation in Human–Machine Cooperative Anti-Money Laundering Operations
Hyunwoo Choi
,Jisoo Han
,Minseo Park
Posted: 31 December 2025
Multimodal Supervisory Graphs for PersistentWorld Modeling in Generative AI
Marcus Elvain
,Howard Pellorin
Posted: 31 December 2025
PhysiGen: Action-Conditional World Models for Interactive E-Commerce Visualization
Jori Winslett
,Taryn Ellsworthy
,Callan Everhart
Posted: 31 December 2025
Algebraic Structures of 2D and 3D Fields of Real Vectors
Branko Sarić
Posted: 31 December 2025
Mono-Splat: Real-Time Photorealistic Human Avatar Reconstruction from Monocular Webcam Video via Deformable 3D Gaussian Splatting
Brennan Sloane
,Landon Vireo
,Keaton Farrow
Posted: 31 December 2025
Clean-Splat: Context-Aware Real-Time Object Removal in Augmented Reality via Generative 3D Gaussian Inpainting
Landon Vireo
,Brennan Sloane
,Arden Piercefield
,Greer Holloway
,Keaton Farrow
Posted: 31 December 2025
Sem4EDA: A Knowledge-Graph and Rule-Based Framework for Automated Fault Detection and Energy Optimization in EDA–IoT Systems
Michael Dosis
,Antonios Pliatsios
Posted: 31 December 2025
An Automated Machine Learning Classification Model for Predicting Placental Abruption
Tekin Ahmet Serel
,Esin Merve Koç
,Oğuz Uğur Aydın
,Eda Uysal Aydın
,Furkan Umut Kılıç
Posted: 31 December 2025
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