From 23d76a936aacbdd46b202c2dca04447b99de962f Mon Sep 17 00:00:00 2001 From: theHumanBorch Date: Wed, 17 Jun 2026 11:47:18 -0500 Subject: [PATCH] Fix O(n^2) scaling Fix O(n^2) scaling in clonal selection inner loop clonal_selection_iteration_cpp precomputed the full n x m affinity matrix once per iteration, then recomputed an entire n-length affinity column on every accepted mutation. Because accepted mutations scale with the number of cells, that column recompute nested inside the per-point loop made each iteration O(n^2) in n, the dominant cost at CyTOF and scRNA scale. Recompute each point's 1 x m affinity row against the live antibody set instead, and drop the column patching. This is the same O(n*m*d) total work per iteration but linear in n, and it is numerically identical to the previous algorithm: a point always sees every mutation made by earlier points in the same pass, which is exactly what the column patch guaranteed. Results are unchanged to 4 decimals (clustering silhouette and classification accuracy match the prior build at n = 500/1000/2000) and the full test suite passes. Timing at n=2000 drops from ~101s to ~1s, and scaling is now linear: n=16000 clustering runs in ~8s versus an extrapolated ~1.8h before. --- src/bHIVE.so | Bin 993157 -> 734280 bytes src/clonal_selection.cpp | 25 +++++++++++++++---------- src/clonal_selection.o | Bin 1324432 -> 1222032 bytes 3 files changed, 15 insertions(+), 10 deletions(-) diff --git a/src/bHIVE.so b/src/bHIVE.so index 2b41e215752690ae1b6cfb2802744afc4bb126a3..5eea1d12cbf733aca75726bb283b96b3424ae396 100755 GIT binary patch literal 734280 zcmeFa3wTu3xi`LcCLt3Lk&A*Lh8SA{sMJymNG$`Sf?`VxR;*M5Mn&ocx%jE2Rya95 zYU!!$YD-UT4++tdU|X@+n$#-bc&b%fiMHygJ#{8QnSd7%FBxmh_xrtjt(i4Ddy+}; z^#6aJ51uE?UVE?gu6Mon^{%zoe)fYmJ~~1vN8w*T{2h(I9bu)uy=E|Psblf?WPwtZ zmFJ&z;rVjQ_g_(9nRodIQ1Y*`a@FNGuF?hk_~Au9B{siKfE2cdT;i6th)TVRh6q2 zU+RbVO%3mBCwVPcw&58#=C`u4YT30bGYs*=i@)IE_gBq8mc2U$LiR79tGr zZ9lx;iXYd?%ImMaVd=G(RW7~uie;$ehxg}w9=tKbJP0iNVHnu_r5q>m zS6O-HjPqwyM(2KUzLsXq&9VUUuUoYu zC%mnu0pOWS_F9ZTt%8C?W#wgyS1p!HUFJA5<*iW-}mTh>Mn%-4q<)te#+TV4& 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We recompute each point's 1 x m affinity row + // against the current (mutating) antibody set on the fly, instead of + // precomputing the full n x m matrix once and patching a column on every + // accepted mutation. The old patch-on-mutation scheme nested an O(n) column + // recompute inside this per-point loop, so with acceptances scaling in n the + // routine was O(n^2) in the number of cells -- the dominant cost at + // CyTOF/scRNA scale. The per-row recompute is the same O(n*m*d) total work + // and yields identical values (a point always sees every mutation made by + // earlier points in the pass), but keeps the routine linear in n. for (arma::uword i = 0; i < n; ++i) { - const arma::rowvec aff_values = aff_matrix.row(i); + const arma::rowvec aff_values = + affinity_matrix_cpp(X.rows(i, i), A, aff_type, alpha, c_param, p_param).row(0); const double max_aff = aff_values.max(); if (max_aff <= 0.0 || !std::isfinite(max_aff)) continue; @@ -122,12 +128,11 @@ Rcpp::List clonal_selection_iteration_cpp( ); if (std::isfinite(f_mutated) && f_mutated > f_j) { + // Accept the improved antibody in place. No affinity bookkeeping is + // needed here: the next point recomputes its own affinity row against + // this updated A (see the per-point recompute above), so the mutation + // is seen immediately and exactly, with no O(n) column patch. A.row(jj) = mutated; - // Update the affinity column for this antibody going forward - arma::mat mutated_mat(1, d); - mutated_mat.row(0) = mutated; - aff_matrix.col(jj) = affinity_matrix_cpp(X, mutated_mat, aff_type, - alpha, c_param, p_param).col(0); } } } diff --git a/src/clonal_selection.o b/src/clonal_selection.o index b5ad565d97ac4fc4bf5f7122ac54fcab7f923b88..4415913bb40053c2bf48c0445ec9393cc8eb8c4b 100644 GIT binary patch literal 1222032 zcmeFa4O~>$xi7r-4Cv-dK~V9dGN^4pO`<0x(bQZAFby%LMME3YddnaX2l?`Yq}qHi zMtcqh(m=KE@mhZelKA!j)gIfDUb!dl8?4^@(r9}V>w7aAdpd}=YD|O#JNN(W zy`DY8o-uo4G|g!;{D!sm+UxmT&wAEc&suxWfB)e8pA&^p1U~dH7GG7xKNr6EOu~2L zXe}G{U+=~gtvrih@cFkV^lJj4??fuZr?|MTd}E!S*RPB2TTv9c=G>mGdXDgoLN>WR zMWn#XzwS?G13dd(Y@HzBs)c?iB zrL{F1LJBnF>v~QHtC!Fxe-IUoQCM93a9v4VMd<@I6&g}AzMMwA>RQb*gjl&<=Wl0g zinx_-MYPAN4I2#XB>&>vqTEnHK-z_0;-fp^`U@-8fFSRNy7d(`t0f9Ee|ylL^qDRd ze{_d_&Hv51jMU$7{(75rNS9>l!cNKGiz#9mBMnQ7i_1#tN$h_YrX*Z=+g{*KhD^yET{sM! 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