Topic Modeling in Embedding Spaces
نویسندگان
چکیده
منابع مشابه
Embedding measure spaces
For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification o...
متن کاملLatent Topic Embedding
Topic modeling and word embedding are two important techniques for deriving latent semantics from data. General-purpose topic models typically work in coarse granularity by capturing word co-occurrence at the document/sentence level. In contrast, word embedding models usually work in fine granularity by modeling word co-occurrence within small sliding windows. With the aim of deriving latent se...
متن کاملembedding measure spaces
for a given measure space $(x,{mathscr b},mu)$ we construct all measure spaces $(y,{mathscr c},lambda)$ in which $(x,{mathscr b},mu)$ is embeddable. the construction is modeled on the ultrafilter construction of the stone--v{c}ech compactification of a completely regular topological space. under certain conditions the construction simplifies. examples are given when this simplification o...
متن کاملEmbedding normed linear spaces into $C(X)$
It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can ...
متن کاملBanach Spaces Embedding Into
Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.
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ژورنال
عنوان ژورنال: Transactions of the Association for Computational Linguistics
سال: 2020
ISSN: 2307-387X
DOI: 10.1162/tacl_a_00325