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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;...

arXiv CS 1d ago

Adjacency Spectral Radius Under Laplacian Sparsification: Deterministic and Probabilistic Bounds

arXiv:2606.07459v1 Announce Type: cross Abstract: Spielman-Srivastava spectral sparsification preserves Laplacian quadratic forms to within (1 +/- epsilon), but does not directly control the adjacency spectral radius lambda_1, which governs the NIMFA epidemic threshold and arises in spectral clustering. We prove |lambda_1(A_H) - lambda_1(A_G)| <= epsilon(2 Delta - lambda_1) deterministically, with a sharp epsilon*lambda_1 bound for reweighting sparsifiers via Perron-Frobenius monotonicity....

arXiv CS 2d ago

Global Convergence of Adaptive Sensing for Principal Eigenvector Estimation

arXiv:2505.10882v2 Announce Type: replace Abstract: Principal component analysis classically requires full $d$-dimensional samples, yet in various applications hardware limits acquisition to a few scalar measurements per sample. We analyze a compressed variant of Oja's algorithm for estimating the principal eigenvector of the data covariance matrix using only two adaptive measurements per sample. At each iteration, we observe one measurement along the current estimate and one in a random...

arXiv CS 8d ago

DMF: A Deterministic Memory Framework for Conversational AI Agents

arXiv:2606.03463v1 Announce Type: new Abstract: Conversational AI agents require memory systems that are both scalable and semantically coherent across long interaction horizons. Existing approaches rely predominantly on large language model (LLM)-based summarisation at write time, which introduces non-determinism, escalating token costs, and opacity in pruning decisions. We present the Deterministic Memory Framework (DMF), a CPU-first approach that replaces generative memory compression...

arXiv CS 7d ago

IRAM-Omega-Q: A Computational Framework for Uncertainty Regulation in Adaptive Agents

arXiv:2603.16020v2 Announce Type: replace Abstract: Adaptive agents operating under uncertainty must do more than optimize task outputs: they must maintain a workable internal state under noise, perturbation, and changing conditions. This paper introduces IRAM-Omega-Q, a computational framework for modeling uncertainty regulation in adaptive agents under stochastic disturbance. The framework combines a quantum-like state representation with closed-loop adaptive control over an internal...

arXiv CS 1d ago

Probing Nucleon Spin Structure with a Polarized Gamma Beam from Compton Backscattering at FCC-ee

Announce Type: cross Abstract: We present a kinematic and optical design of a high-energy polarized gamma-ray facility based on Compton backscattering of lasers against the FCC-ee electron beams in its $Z$, $WW$, $ZH$ and $t\bar{t}$ modes. The conversion point is located in the FCC-ee full-energy booster, allowing parasitic CBS operation without dedicated interaction-point optics. Saturating the safe value of the kinematic parameter $\kappa = 4.35$ in each mode fixes the laser wavelength and...

arXiv Physics 6d ago

Mitochondria directly interact with the nuclear pore complex

Abstract Mitochondria regulate cellular processes through direct and indirect interactions with other organelles. A well-studied example has been contact with the endoplasmic reticulum at mitochondrial-associated endoplasmic reticulum membranes1, which control pathways including redox and calcium homeostasis2,3. Recent studies have also reported direct mitochondria–nuclear membrane contacts in cancer cells and yeast that promote pro-survival signalling4,5.

Nature 19h ago