Xfredhd Repack -

[ \big|\langle \tildex_i, \tildex_j\rangle - \langle x_i, x_j\rangle\big| \le \epsilon |x_i|,|x_j| ]

¹ Department of Computer Science, University of Valencia, Spain ² Department of Electrical Engineering, Indian Institute of Technology Delhi, India ³ Data Science Lab, Stanford University, USA xfredhd

Resulting sketch (\tildeX) ∈ ℝ^N × S is , can be computed on‑the‑fly, and fits comfortably in GPU memory for S ≈ 10³–10⁴. [ \big|\langle \tildex_i

[ \mathcalL \textGPR = \frac1\sum (i,j)\in E\bigl(\textsim Z(z_i, z_j) - \textsim \tildeX(\tildex_i, \tildex_j)\bigr)^2 ] \tildex_j\rangle - \langle x_i