activity
20082023
most citedExtended double shuffle relations and the generating function of triple zeta values of any fixed weight

15 citations · 32 across the 13 of their papers we have counts for

collaborators

14 papers

cs.LG2023

A Neighbourhood-Aware Differential Privacy Mechanism for Static Word Embeddings

Danushka Bollegala, Shuichi Otake, Tomoya Machide +1

We propose a Neighbourhood-Aware Differential Privacy (NADP) mechanism considering the neighbourhood of a word in a pretrained static word embedding space to determine the minimal…

math.NT2022

Computations about formal multiple zeta spaces defined by binary extended double shuffle relations

Tomoya Machide

The formal multiple zeta space we consider with a computer is an -vector space generated by formal symbols for a given weight , where the symbols satisfy…

cs.CL2019

Query Obfuscation Semantic Decomposition

Danushka Bollegala, Tomoya Machide, Ken-ichi Kawarabayashi

We propose a method to protect the privacy of search engine users by decomposing the queries using semantically \emph{related} and unrelated \emph{distractor} terms. Instead of a s…

math.LO2019

A formula for systems of Boolean polynomial equations and applications to computational complexity

Tomoya Machide

It is known a method for converting a system of Boolean polynomial equations to a single Boolean polynomial equation with less variables. In this paper, we show a formula for syste…

math.NT2017★ 1 cited

Identity involving symmetric sums of regularized multiple zeta-star values

Tomoya Machide

An identity involving symmetric sums of regularized multiple zeta-star values of harmonic type was proved by Hoffman. In this paper, we prove an identity of shuffle type. We use Be…

math.NT2015★ 2 cited

Use of the generating function to generalize the sum formula for quadruple zeta values

Tomoya Machide

In the present paper, we prove an identity for the generating function of the quadruple zeta values. Taking homogeneous parts on both sides of the identity and substituting appropr…