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Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
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A DLN dataset was built to analyze MABS composition versus in vitro/in vivo osteogenesis and angiogenesis. An MLP neural network, taking BG morphological parameters as input, extracts bioactive features from these datasets. A rabbit tibial defect model then validates 4D‐printed MABS for adaptability and bone regeneration in critical defects.
Xiongjie Liang +12 more
wiley +1 more source
Assessing Strengths and Limitations of Magnetoencephalography Source Imaging With Intracerebral EEG
Simultaneous MEG and stereotactic EEG (SEEG) recordings provide a direct validation framework for MEG source imaging in focal epilepsy. Virtual SEEG signals derived from MEG reconstructions reveal significant agreement with intracranial measures of spike localization, resting‐state oscillations, and functional connectivity, while also identifying ...
Jawata Afnan +10 more
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The Inverse Satisfiability Problem
SIAM Journal on Computing, 1996Summary: We study the complexity of telling whether a set of bit-vectors represents the set of all satisfying truth assignments of a Boolean expression of a certain type. We show that the problem is coNP-complete when the expression is required to be in conjunctive normal form with three literals per clause (3CNF).
Dimitris J. Kavvadias, Martha Sideri
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On an Inverse Diffusion Problem
SIAM Journal on Applied Mathematics, 1997Summary: In many applications, such as the heat conduction and hydrology, there is a need to recover the (possibly discontinuous) diffusion coefficient \(a\) from boundary measurements of solutions of a parabolic equation. The complete inverse problem is ill posed and nonlinear, so a numerical solution is quite difficult, and we linearize the problem ...
Alaeddin Elayyan, Victor Isakov
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Type of inversion problem in physics: An inverse emissivity problem
Physical Review E, 2001Inversion problems have recently drawn vast amounts of attention from the physics community due to their potential widespread applications. In this Rapid Communication, a different type of inversion problem in physics is proposed: an inverse emissivity problem, which aims to determine the emissivity g(nu) by measuring only the total radiated power J(T).
T, Wen +4 more
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Inverse Problem with Constraints
Physical Review Letters, 1973A procedure is presented for constructing a solution to the inverse problem subject to the constraint that the wave functions be prescribed at a finite number of energies.
D. J. Ernst +3 more
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