Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"permutation-invariance"”.
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Constraints and invariance in target detection
The concept of invariance in hypothesis testing is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance …
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Universal and succinct source coding of deep neural networks
… layers of feedforward networks have a kind of permutation invariance to the labeling of nodes, in terms of inferential operation. We provide efficient algorithms to dissipate this irrelevant uncertainty and then use arithmetic coding to nearly achieve the entropy bound in a universal manner. We …
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Scalable Model for Reaction Outcome Prediction and One-step Retrosynthesis with a Graph-to-Sequence Architecture
… Transformer models for text generation with the permutation invariance of molecular graph encoders that mitigates the need for input data augmentation. In our encoder, a directed message passing neural network (DMPNN) captures local chemical environments, and the global attention encoder allows …
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Phase Transitions in Dipole-Dipole Interacting Atomic Systems
… the system is computed. By the use of the full permutation invariance of the system, we show that the numerical complexity in computing quantum discord is significantly reduced. The result indicates that when the dissipation becomes dominant, the system is not entangled but possesses large …
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Invariant polynomials and machine learning
… events where our system is Lorentz- and permutation-invariant. In the latter, the vectors represent the positions of atoms in molecules (or lattices) where our systems are Euclidean- and permutation-invariant. We start by focusing on the algebras of invariant polynomials in these vectors …