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Transformations on General Partial Orders
2013Next we will be considering repetitions of items in the input sequential data, and as a consequence, the final closed partial orders are not necessarily injective. As we will see, dealing with general partial orders makes the proper formalization with category theory a bit more difficult.
G. C. Garriga
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Discovering injective episodes with general partial orders
Data Mining and Knowledge Discovery, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Achar, Avinash +3 more
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Generalized partial orders for polar code bit-channels
2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2017We study partial orders (POs) for the synthesized bit-channels of polar codes. First, we consider complementary bit-channel pairs whose Bhattacharyya parameters over the binary erasure channel (BEC) exhibit a symmetry property and provide insight into the alignment of polarized sets of bit-channels for the BEC and general binary-input memo-ryless ...
Wei Wu, Bing Fan, Paul H. Siegel
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A study of double general transform for solving fractional partial differential equations
Mathematical methods in the applied sciences, 2023In this research, we introduce the basic properties of the single and double general transforms. New interesting results related to fractional operators in the sense of Caputo derivative are investigated and proved.
Rania Saadeh, B. Ghazal, Aliaa Burqan
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Generating Robust Partial Order Schedules
2004This paper considers the problem of transforming a resource feasible, fixed-times schedule into a partial order schedule (POS) to enhance its robustness and stability properties. Whereas a fixed-times schedule is brittle in the face of unpredictable execution dynamics and can quickly become invalidated, a POS retains temporal flexibility whenever ...
Policella +7 more
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Partial Orders and Contraction for BISO Channels
International Symposium on Information TheoryA fundamental question in information theory is to quantify the loss of information under a noisy channel. Partial orders and contraction coefficients are typical tools to that end, however, they are often also challenging to evaluate.
Christoph Hirche, Oxana Shaya
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Tracking before detection using partial orders and optimization
arXiv.orgThis article addresses the problem of multi-object tracking by using a non-deterministic model of target behaviors with hard constraints. To capture the evolution of target features as well as their locations, we permit objects to lie in a general ...
Michael Robinson +2 more
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Generating Adaptive Partially Ordered Sequential Rules
Proceedings of the International Conference on Informatics and Analytics, 2016Sequential rule mining is an important data mining issue which has numerous applications. They are profoundly used in predicting the behaviour of learners in Educational data, predicting the web traversal patterns, finding the consecutive connections between gene expressions of different patients in Bio Informatics, determining the purchase pattern of ...
Radha Senthilkumar +3 more
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The Partial Ordering on the Automorphism Group of the Countable Generic Partial Order
Order, 2009The countable generic partial order \((P,\leq)\) is defined by using the well-known Fraïssé's Theorem. This paper deals with the structure \((G,\circ,\leq)\), where \((G,\circ)=\text{Aut}(P,\leq)\) and \(\leq\) is the pointwise ordering on \(G\). It is shown that \((G,\leq)\) is elementarily equivalent to \((P,\leq)\) itself and, more generally, that \(
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