This report investigates and examines the greedy alternating optimization procedures used for solving the non-convex optimization problem of our Factorized High order Interactions Model (FHIM) model.

While an ever-growing body of research is concerned with user behavior on individual social network sites (SNSs)—mostly Facebook—studies addressing an alternating use of two or more SNS are rare. Here, we investigate the relationship between alternating SNS use and social capital in the context of migration. Alternating SNS use avoids some of the problems associated with large networks located ...

We show how alternating automata provide decision procedures for the equality of inductively de3ned Boolean functions and present applications to reasoning about parameterized families of circuits. We use alternating word automata to formalize families of linearly structured circuits and alternating tree automata to formalize families of tree structured circuits. We provide complexity bounds fo...

We define a bijection that transforms an alternating sign matrix A with one −1 into a pair (N,E) where N is a (so called) neutral alternating sign matrix (with one −1) and E is an integer. The bijection preserves the classical parameters of Mills, Robbins and Rumsey as well as three new parameters (including E). It translates vertical reflection of A into vertical reflection of N . A hidden sym...

We study new statistics on permutations that are variations on the descent and the inversion statistics. In particular, we consider the alternating descent set of a permutation σ = σ1σ2 · · · σn defined as the set of indices i such that either i is odd and σi > σi+1, or i is even and σi < σi+1. We show that this statistic is equidistributed with the odd 3-factor set statistic on permutations σ̃ ...

This paper argues against the view that Japanese indirect passives are restricted with respect to the base verb that they take. Specifically, it argues that, despite its initial plausibility, the oft-proposed generalization that unaccusatives cannot appear in indirect passives is too strong and the alleged distribution is a tendency at most, albeit a strong one. After closely examining the rest...

In the Minimalist Program (Chomsky 1995), Merge is a set operation that imposes no intrinsic ordering among its members. However, syntactic structures are linearized into strings of words at PF. This paper proposes that in order for a Merger set to be linearized, its members must be either hierarchically displaced or morphologically fused into a single terminal node. The empirical study focuses...

In this paper we argue that the EPP requirement of Tense (that it occur with a specifier) is an independent syntactic primitive that is operative in the absence of both nominative Case and subject-predicate agreement. This proposal is supported empirically by a class of accusative-Case-assigning unaccusatives in Russian and Ukrainian. For these predicate types, the direct internal argument bear...

Hong, Sunghoon. 2001. Richness of the base, lexicon optimization, and suffix /ˆ/~{ alternation in Korean. Studies in Phonetics, Phonology and Morphology 7.1. 215-242. This paper presents an OT analysis of the phonological patterns exhibited by the verbal/adjectival suffixes in Korean. I propose that it is not arbitrarily determined whether a suffix is alternating or non-alternating, but rather ...

‎Let $G $ be a finite group and $X$ be a conjugacy class of $G.$ The‎ ‎rank of $X$ in $G,$ denoted by $rank(G{:}X),$ is defined to‎ ‎be the minimal number of elements of $X$ generating $G.$ In this‎ ‎paper we establish the ranks of all the conjugacy classes of‎ ‎elements for simple alternating group $A_{10}$ using the structure‎ ‎constants method and other results established in‎ ‎[A.B.M‎. ‎Bas...