Tikhonov Regularization by a Reproducing Kernel Hilbert Space for the Cauchy Problem for an Elliptic Equation. - Tomoya Takeuchi; Masahiro Yamamoto (SIAM J. Sci. Comput., 2008)

Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem. - Y. C. Hon; Tomoya Takeuchi (Adv. Comput. Math., 2011)

Multi-Parameter Tikhonov Regularization - Kazufumi Ito; Bangti Jin; Tomoya Takeuchi (CoRR, 2011)

A Regularization Parameter for Nonsmooth Tikhonov Regularization. - Kazufumi Ito; Bangti Jin; Tomoya Takeuchi (SIAM J. Sci. Comput., 2011)

Optimal control laws for traffic flow. - Kazuyuki Aihara; Kazufumi Ito; Junichi Nakagawa; Tomoya Takeuchi (Appl. Math. Lett., 2013)

On the sectorial property of the Caputo derivative operator. - Kazufumi Ito; Bangti Jin; Tomoya Takeuchi (Appl. Math. Lett., 2015)

The Proximal Method of Multipliers for a Class of Nonsmooth Convex Optimization. - Tomoya Takeuchi (CoRR, 2020)

Spatially Arranged Sparse Recurrent Neural Networks for Energy Efficient Associative Memory. - Gouhei Tanaka; Ryosho Nakane; Tomoya Takeuchi; Toshiyuki Yamane; Daiju Nakano; Yasunao Katayama; Akira Hirose 001 (IEEE Trans. Neural Networks Learn. Syst., 2020)

Learning the Simplest Neural ODE. - Yuji Okamoto; Tomoya Takeuchi; Yusuke Sakemi (CoRR, 2025)