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authorRĂ©mi Flamary <remi.flamary@gmail.com>2018-07-18 11:34:37 +0200
committerGitHub <noreply@github.com>2018-07-18 11:34:37 +0200
commit5cd6c0aae23a36fe27c188cdd18c7f0fba8a0360 (patch)
treed7b0968d9d50f0e40d225aeddc85b10d8e6c4cca /ot/bregman.py
parent7c5c8803b2bdb67545783db3321b9d5a81a063d6 (diff)
parent0764e356325df7e18f72c0ff468bfa8f8ee35059 (diff)
Merge pull request #57 from LeoGautheron/master
Speed-up Sinkhorn
Diffstat (limited to 'ot/bregman.py')
-rw-r--r--ot/bregman.py15
1 files changed, 12 insertions, 3 deletions
diff --git a/ot/bregman.py b/ot/bregman.py
index b017c1a..c8e69ce 100644
--- a/ot/bregman.py
+++ b/ot/bregman.py
@@ -344,8 +344,14 @@ def sinkhorn_knopp(a, b, M, reg, numItermax=1000,
# print(reg)
- K = np.exp(-M / reg)
+ # Next 3 lines equivalent to K= np.exp(-M/reg), but faster to compute
+ K = np.empty(M.shape, dtype=M.dtype)
+ np.divide(M, -reg, out=K)
+ np.exp(K, out=K)
+
# print(np.min(K))
+ tmp = np.empty(K.shape, dtype=M.dtype)
+ tmp2 = np.empty(b.shape, dtype=M.dtype)
Kp = (1 / a).reshape(-1, 1) * K
cpt = 0
@@ -373,8 +379,11 @@ def sinkhorn_knopp(a, b, M, reg, numItermax=1000,
err = np.sum((u - uprev)**2) / np.sum((u)**2) + \
np.sum((v - vprev)**2) / np.sum((v)**2)
else:
- transp = u.reshape(-1, 1) * (K * v)
- err = np.linalg.norm((np.sum(transp, axis=0) - b))**2
+ np.multiply(u.reshape(-1, 1), K, out=tmp)
+ np.multiply(tmp, v.reshape(1, -1), out=tmp)
+ np.sum(tmp, axis=0, out=tmp2)
+ tmp2 -= b
+ err = np.linalg.norm(tmp2)**2
if log:
log['err'].append(err)