In this work, we cover space-time efficient data structures related to four abstract problems: set membership checking, multi-set membership checking, distributed set joining, and set size estimation. The goal i
Data science is a powerful field for gaining insights, comparing, and predicting behaviors from datasets. However, the diversity of methods and hypotheses needed to abstract a dataset exhibits a lack of genericity. Moreover, the shape of a dataset, which
Time and space complexity are measures used to analyze algorithms' efficiency in terms of resources consumed. Time complexity represents the amount of time an algorithm takes to complete as a function of the input size, while space complexity represents the amount of memory space an algorithm requi...
In this paper, we devise several o(n2) time data structures for a binary string capable of answering permutation queries in O(m) time. In particular, we first present two O(n2/logn) time data structures and then improve the data structure construction time to O(n2/log2n). The space ...
Enhancers and chromatin structures: regulatory hubs in gene expression and diseases. Biosci. Rep. 37, BSR20160183 (2017). Article CAS PubMed PubMed Central Google Scholar Chong, S. et al. Imaging dynamic and selective low-complexity domain interactions that control gene transcription. Science ...
Hence, Savitchs theorem states that, for any function,f:N→R+, wheref(n)⩾n NSPACE(f(n)) ⊆ SPACE(f(n)) The following diagram depicts the relationship among different complexity classes. Till now, we have not discussed P and NP classes in this tutorial. These will be discussed la...
Complexity science studies entities in a system (e.g., electrons in an atom, planets in a solar system, individuals in a society) and their interactions, and is the nature of what emerges from these interactions. It is a paradigm that employs systems approaches and is inherently multi- and...
We explore techniques for designing nonblocking algorithms that do not require advance knowledge of the number of processes that participate, whose time complexity and space consumption both adapt to various measures, rather than being based on predefined worst-case scenarios, and that cannot be ...
complexity of knowledge space is greatly enhanced because every noun-object, verb-function, and their combination are unique to the quantum of knowledge being pursued and the human being processing it. Moreover, the psychological and mental coordinates of space and time are socially and culturally ...
The recently proposed digital coding metasurfaces make it possible to control electromagnetic (EM) waves in real time, and allow the implementation of many different functionalities in a programmable way. However, current configurations are only space-en