We show that Nechiporuk’s method [14] for proving lower bound for Boolean formulas can be extended to the quantum case. This leads to an Ω(n2/ log n) lower bound for quantum formulas computing an explicit function. The only known previous explicit lower bound for quantum formulas [15] states that the majority function does not have a linear–size quantum formula.

Recall the online learning model we discussed in the previous lecture: N = # experts For t = 1, 2, . . . , T rounds: 1) each expert i, 1 ≤ i ≤ N , makes a prediction ξi ∈ {0, 1} 2) learner makes a prediction ŷ ∈ {0, 1} 3) observe outcome y ∈ {0, 1} (a mistake happens if ŷ 6= y) With this framework in hand, we investigated a particular algorithm, Weighted Majority Algorithm (WMA), as follows: N ...

The ordered weighted averaging (OWA) operator and its associated weight vectors have been both theoretically practically verified to be powerful effective in modeling the optimism/pessimism preference of decision makers. When several different OWA are offered, it is necessary develop certain techniques aggregate them into one vector. This study firstly details motivating examples show necessity...

Indeks Pembangunan Desa yang dibangun dari Pendataan Potensi (Podes) tahun 2014. untuk menilai tingkat perkembangan desa, dibagi menjadi 3 klasifikasi yaitu Mandiri, Berkembang, dan Tertinggal, memiliki 5 dimensi. Penulis bertujuan desa melalui status berdasar data IPD, penentuan menggunakan teknik clustering dengan metode K-Means berbasis Ordered Weighted Averaging (OWA), OWA dapat mengurangi ...

Chiclana, Herrera and Herrera-Viedma studied conditions under which the reciprocity property is maintained in the aggregation of reciprocal fuzzy preference relations using the OWA operator guided by a relative linguistic quantifier. In this note, we focus on the reciprocity in the aggregation of fuzzy preference relations (that is, the additive reciprocity is not assumed) using the OWA operato...

Visceral leishmaniasis (VL) is a vector-borne disease, highly influenced by environmental factors, which is an increasing public health problem in Iran, especially in the north-western part of the country. A geographical information system was used to extract data and map environmental variables for all villages in the districts of Kalaybar and Ahar in the province of East Azerbaijan. An attemp...