The offset method for solving word analogies has become a standard evaluation tool for vector-space semantic models: it is considered desirable for a space to represent semantic relations as consistent vector offsets. We show that the method’s reliance on cosine similarity conflates offset consistency with largely irrelevant neighborhood structure, and propose simple baselines that should be us...

The neighborhood has had a long history in Iranian urbanization. Since urban plans wereintroduced by the authorities to shape urban development in Iran half a century ago, the concept of Iranian traditional neighborhood has been neglected gradually. The concept of neighborhood has not found the appropriate status in urban design and planning yet. One of the main reasons is that academics, profe...

The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in Hausdorff based on locally compactable neighborhood systems without considering strictly (metrized) Borel variety. null extension gives rise to quasi sigma-semiring sigma-neighborhoods, which are rectifiable view Dieudonné n-space. concepts symmetric signed measure, un...

Digital metrics on the digital space play an important role in several branches of discrete mathematics, e.g. in discrete geometry or digital image processing. We perform an overall analysis on some properties of neighborhood sequences which induce metrics on Z.

This paper adds evidence structure to standard models of belief, in the form of families of sets of worlds. We show how these more fine-grained models support natural actions of “evidence management”, ranging from update with external new information to internal rearrangement. We show how this perspective leads to new richer languages for existing neighborhood semantics for modal logic. Our mai...

In this paper we propose a general variable neighborhood search approach for the balanced location problem. Next to large shaking neighborhoods, the embedded variable neighborhood descent utilizes three neighborhood structures that focus on different solution aspects. By a computational study, we show that this VNS outperforms existing methods with respect to average solution quality and stabil...

This note proposes various axiomatizations of contingency logic under neighborhood semantics. In particular, by defining a suitable canonical neighborhood function, we give sound and complete axiomatizations of monotone contingency logic and regular contingency logic, thereby answering two open questions raised by Bakhtiari, van Ditmarsch, and Hansen. The canonical function is inspired by a fun...

We continue Mizar formalization of General Topology according to the book [20] by Engelking. Niemytzki plane is defined as halfplane y ≥ 0 with topology introduced by a neighborhood system. Niemytzki plane is not T4. Next, the definition of Tychonoff space is given. The characterization of Tychonoff space by prebasis and the fact that Tychonoff spaces are between T3 and T4 is proved. The final ...