This conclusion shows the important value of our research and provides references for related work in text generation from graphs. Preliminaries Task definition Our goal is to generate a text that accurately describes a given knowledge graph. Given a graph \(G = (V, E)\), where \(V = \{...
2 Preliminaries Grover’s unstructured database search problem involves finding one of M solutions among N candidate entries. Given a function \(f:\left\{ 0,1,\dots ,N-1\right\} \rightarrow \left\{ 0,1\right\} \) and the number of inputs mapping to the desired target value \(\lef...
Mathematical Preliminaries for Lossy Coding Khalid Sayood, in Introduction to Data Compression (Fourth Edition), 2012 Further Reading There are a number of excellent books available that delve more deeply in the area of information theory: 1. Information Theory, by R.B. Ash [117]. 2. Informatio...
Preliminaries To begin with, we introduce the following definition: Definition 4 (Instrument relative entropy). For any family of instruments \({\mathbb{J}}\) and process tensors \({\Upsilon},{\Gamma}\), $${S}_{{\mathbb{J}}}({{\Upsilon }}\parallel {{\Gamma }}):= \mathop{{{\...
Information theory is the scientific study of the quantification, storage, and communication of digital information. The field was fundamentally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s.: vii The field is at the intersection...
Preliminaries: Quantum CSS codes We present a brief review of the relevant details of constructing quantum CSS codes from chain complexes, but we recommend the review,31, and the references contained therein, for more detail. A quantum CSS code on qubits may be thought of as a three-term cha...
This study provides the preliminaries for such a model.doi:10.1207/s15327884mca0303_4Toomas TimpkaCecelia SjobergMindTimpka, T. & Sjoberg, C. (1996). The voices of design: discourse in participatory information system development. Mind, Culture, and Activity 3 (3), 185-202....
aPRELIMINARIES AND GENERAL CONDITIONS 初阶和普通保险条款[translate] a请相信我,我没有骗你 正在翻译,请等待... [translate] awhat's can you do? 您是什么能做?[translate] athis theory especially hoids true in math and other scientific courses 特别是这种理论hoids真实在算术和其他科学路线[translate]...
2 Preliminaries In this section we review a few definitions that are needed in the rest of the paper. In particular, we provide definitions related to fuzzy measures and integrals. We will put them in the context of aggregation of numerical values. Then, we will also survey some definitions ...
Section 4 provides some examples to illustrate the application of the theorem and discusses potential extensions. Lastly, Sect. 5 wraps up with some concluding remarks, summarizing our findings and offering open questions for future research. 2 Preliminaries We now revisit two lemmas that will prove...