goofy idea in c

loss_plot.png

plot.txt

(-1.0, -1.0, 11.6)
(-1.0, -1.0, 11.4)
(-1.0, -1.0, 11.2)
(-0.9, -1.0, 10.9)
(-1.0, -0.9, 10.9)
(-0.9, -0.9, 10.4)
(-0.9, -0.9, 9.9)
(-0.8, -0.9, 9.3)
(-1.0, -0.8, 10.2)
(-0.9, -0.8, 9.5)
(-0.8, -0.8, 8.8)
(-0.7, -0.8, 8.0)
(-1.0, -0.7, 9.6)
(-0.9, -0.7, 8.7)
(-0.7, -0.7, 7.8)
(-0.6, -0.7, 6.9)
(-1.0, -0.6, 9.0)
(-0.8, -0.6, 8.0)
(-0.7, -0.6, 7.0)
(-0.5, -0.6, 6.0)
(-1.0, -0.5, 8.4)
(-0.8, -0.5, 7.3)
(-0.6, -0.5, 6.3)
(-0.4, -0.5, 5.2)
(-1.0, -0.4, 7.8)
(-0.8, -0.4, 6.7)
(-0.6, -0.4, 5.6)
(-0.4, -0.4, 4.6)
(-1.0, -0.3, 7.3)
(-0.8, -0.3, 6.1)
(-0.6, -0.3, 5.1)
(-0.3, -0.3, 4.1)
(-1.0, -0.2, 6.8)
(-0.8, -0.2, 5.6)
(-0.5, -0.2, 4.6)
(-0.3, -0.2, 3.6)
(-1.0, -0.1, 6.2)
(-0.8, -0.1, 5.2)
(-0.5, -0.1, 4.2)
(-0.3, -0.1, 3.2)
(-1.0, 0.0, 5.8)
(-0.8, 0.0, 4.7)
(-0.6, 0.0, 3.8)
(-0.3, 0.0, 2.9)
(-1.0, 0.1, 5.3)
(-0.8, 0.1, 4.3)
(-0.6, 0.1, 3.5)
(-0.4, 0.1, 2.7)
(-1.0, 0.2, 4.8)
(-0.8, 0.2, 4.0)
(-0.6, 0.2, 3.2)
(-0.4, 0.2, 2.5)
(-1.0, 0.3, 4.4)
(-0.8, 0.3, 3.6)
(-0.6, 0.3, 2.9)
(-0.4, 0.3, 2.3)
(-1.0, 0.4, 4.0)
(-0.8, 0.4, 3.3)
(-0.7, 0.4, 2.7)
(-0.5, 0.4, 2.2)
(-1.0, 0.5, 3.6)
(-0.9, 0.5, 3.1)
(-0.7, 0.5, 2.5)
(-0.6, 0.5, 2.1)
(-1.0, 0.6, 3.2)
(-0.9, 0.6, 2.8)
(-0.8, 0.6, 2.4)
(-0.6, 0.6, 2.0)
(-1.0, 0.7, 2.9)
(-0.9, 0.7, 2.6)
(-0.8, 0.7, 2.3)
(-0.7, 0.7, 2.0)
(-1.0, 0.8, 2.6)
(-0.9, 0.8, 2.3)
(-0.9, 0.8, 2.1)
(-0.8, 0.8, 1.9)
(-1.0, 0.9, 2.2)
(-1.0, 0.9, 2.1)
(-0.9, 0.9, 2.0)
(-0.9, 0.9, 1.9)
(-0.9, -1.0, 10.9)
(-0.2, -1.0, 6.6)
(0.6, -1.0, 3.4)
(1.3, -1.0, 1.2)
(-0.9, -0.9, 10.2)
(-0.2, -0.9, 6.1)
(0.5, -0.9, 3.0)
(1.3, -0.9, 1.0)
(-0.9, -0.8, 9.6)
(-0.2, -0.8, 5.7)
(0.5, -0.8, 2.8)
(1.2, -0.8, 0.9)
(-0.9, -0.7, 9.0)
(-0.2, -0.7, 5.3)
(0.5, -0.7, 2.5)
(1.2, -0.7, 0.8)
(-0.9, -0.6, 8.4)
(-0.2, -0.6, 4.9)
(0.5, -0.6, 2.3)
(1.2, -0.6, 0.7)
(-0.9, -0.5, 7.8)
(-0.2, -0.5, 4.6)
(0.4, -0.5, 2.1)
(1.1, -0.5, 0.6)
(-0.9, -0.4, 7.3)
(-0.3, -0.4, 4.2)
(0.4, -0.4, 2.0)
(1.0, -0.4, 0.6)
(-0.9, -0.3, 6.8)
(-0.3, -0.3, 3.9)
(0.3, -0.3, 1.9)
(0.9, -0.3, 0.6)
(-0.9, -0.2, 6.2)
(-0.3, -0.2, 3.7)
(0.3, -0.2, 1.8)
(0.8, -0.2, 0.6)
(-0.9, -0.1, 5.8)
(-0.4, -0.1, 3.4)
(0.2, -0.1, 1.7)
(0.7, -0.1, 0.6)
(-0.9, 0.0, 5.3)
(-0.4, 0.0, 3.2)
(0.1, 0.0, 1.6)
(0.6, 0.0, 0.6)
(-0.9, 0.1, 4.8)
(-0.4, 0.1, 3.0)
(0.0, 0.1, 1.6)
(0.5, 0.1, 0.6)
(-0.9, 0.2, 4.4)
(-0.5, 0.2, 2.8)
(-0.1, 0.2, 1.5)
(0.4, 0.2, 0.7)
(-0.9, 0.3, 4.0)
(-0.5, 0.3, 2.6)
(-0.1, 0.3, 1.5)
(0.2, 0.3, 0.7)
(-0.9, 0.4, 3.6)
(-0.6, 0.4, 2.4)
(-0.2, 0.4, 1.5)
(0.1, 0.4, 0.8)
(-0.9, 0.5, 3.2)
(-0.6, 0.5, 2.3)
(-0.3, 0.5, 1.5)
(-0.1, 0.5, 0.9)
(-0.9, 0.6, 2.9)
(-0.7, 0.6, 2.2)
(-0.4, 0.6, 1.5)
(-0.2, 0.6, 1.0)
(-0.9, 0.7, 2.6)
(-0.7, 0.7, 2.0)
(-0.5, 0.7, 1.5)
(-0.4, 0.7, 1.1)
(-0.9, 0.8, 2.2)
(-0.8, 0.8, 1.9)
(-0.7, 0.8, 1.6)
(-0.5, 0.8, 1.3)
(-0.9, 0.9, 2.0)
(-0.8, 0.9, 1.8)
(-0.8, 0.9, 1.6)
(-0.7, 0.9, 1.5)
(-0.8, -1.0, 10.2)
(0.4, -1.0, 3.8)
(1.7, -1.0, 0.5)
(2.9, -1.0, 0.3)
(-0.8, -0.9, 9.6)
(0.4, -0.9, 3.6)
(1.6, -0.9, 0.5)
(2.8, -0.9, 0.3)
(-0.8, -0.8, 9.0)
(0.4, -0.8, 3.4)
(1.5, -0.8, 0.5)
(2.7, -0.8, 0.2)
(-0.8, -0.7, 8.4)
(0.3, -0.7, 3.2)
(1.4, -0.7, 0.5)
(2.5, -0.7, 0.2)
(-0.8, -0.6, 7.8)
(0.3, -0.6, 3.0)
(1.3, -0.6, 0.5)
(2.4, -0.6, 0.1)
(-0.8, -0.5, 7.3)
(0.2, -0.5, 2.9)
(1.2, -0.5, 0.5)
(2.2, -0.5, 0.1)
(-0.8, -0.4, 6.8)
(0.2, -0.4, 2.7)
(1.1, -0.4, 0.5)
(2.1, -0.4, 0.1)
(-0.8, -0.3, 6.2)
(0.1, -0.3, 2.6)
(1.0, -0.3, 0.5)
(1.9, -0.3, 0.0)
(-0.8, -0.2, 5.8)
(0.0, -0.2, 2.4)
(0.9, -0.2, 0.5)
(1.7, -0.2, 0.0)
(-0.8, -0.1, 5.3)
(-0.0, -0.1, 2.3)
(0.8, -0.1, 0.5)
(1.5, -0.1, 0.0)
(-0.8, 0.0, 4.8)
(-0.1, 0.0, 2.2)
(0.6, 0.0, 0.6)
(1.3, 0.0, 0.0)
(-0.8, 0.1, 4.4)
(-0.1, 0.1, 2.1)
(0.5, 0.1, 0.6)
(1.2, 0.1, 0.0)
(-0.8, 0.2, 4.0)
(-0.2, 0.2, 2.0)
(0.4, 0.2, 0.7)
(1.0, 0.2, 0.1)
(-0.8, 0.3, 3.6)
(-0.3, 0.3, 1.9)
(0.2, 0.3, 0.7)
(0.8, 0.3, 0.1)
(-0.8, 0.4, 3.2)
(-0.3, 0.4, 1.8)
(0.1, 0.4, 0.8)
(0.5, 0.4, 0.2)
(-0.8, 0.5, 2.9)
(-0.4, 0.5, 1.7)
(-0.0, 0.5, 0.9)
(0.3, 0.5, 0.3)
(-0.8, 0.6, 2.6)
(-0.5, 0.6, 1.7)
(-0.2, 0.6, 1.0)
(0.1, 0.6, 0.5)
(-0.8, 0.7, 2.2)
(-0.6, 0.7, 1.6)
(-0.3, 0.7, 1.1)
(-0.1, 0.7, 0.6)
(-0.8, 0.8, 2.0)
(-0.6, 0.8, 1.5)
(-0.5, 0.8, 1.2)
(-0.3, 0.8, 0.9)
(-0.8, 0.9, 1.7)
(-0.7, 0.9, 1.5)
(-0.6, 0.9, 1.3)
(-0.6, 0.9, 1.1)
(-0.7, -1.0, 9.6)
(0.9, -1.0, 2.2)
(2.5, -1.0, 0.0)
(4.1, -1.0, 3.1)
(-0.7, -0.9, 9.0)
(0.8, -0.9, 2.1)
(2.4, -0.9, 0.0)
(3.9, -0.9, 2.7)
(-0.7, -0.8, 8.4)
(0.8, -0.8, 2.0)
(2.2, -0.8, 0.0)
(3.7, -0.8, 2.3)
(-0.7, -0.7, 7.8)
(0.7, -0.7, 1.9)
(2.1, -0.7, 0.0)
(3.5, -0.7, 2.0)
(-0.7, -0.6, 7.3)
(0.6, -0.6, 1.9)
(2.0, -0.6, 0.0)
(3.3, -0.6, 1.7)
(-0.7, -0.5, 6.8)
(0.6, -0.5, 1.8)
(1.8, -0.5, 0.0)
(3.1, -0.5, 1.3)
(-0.7, -0.4, 6.2)
(0.5, -0.4, 1.7)
(1.7, -0.4, 0.0)
(2.8, -0.4, 1.1)
(-0.7, -0.3, 5.8)
(0.4, -0.3, 1.7)
(1.5, -0.3, 0.0)
(2.6, -0.3, 0.8)
(-0.7, -0.2, 5.3)
(0.3, -0.2, 1.6)
(1.3, -0.2, 0.1)
(2.4, -0.2, 0.6)
(-0.7, -0.1, 4.8)
(0.2, -0.1, 1.6)
(1.2, -0.1, 0.1)
(2.1, -0.1, 0.4)
(-0.7, 0.0, 4.4)
(0.2, 0.0, 1.5)
(1.0, 0.0, 0.1)
(1.9, 0.0, 0.2)
(-0.7, 0.1, 4.0)
(0.1, 0.1, 1.5)
(0.9, 0.1, 0.2)
(1.6, 0.1, 0.1)
(-0.7, 0.2, 3.6)
(0.0, 0.2, 1.4)
(0.7, 0.2, 0.2)
(1.4, 0.2, 0.0)
(-0.7, 0.3, 3.2)
(-0.1, 0.3, 1.4)
(0.5, 0.3, 0.3)
(1.1, 0.3, 0.0)
(-0.7, 0.4, 2.9)
(-0.2, 0.4, 1.4)
(0.4, 0.4, 0.4)
(0.9, 0.4, 0.0)
(-0.7, 0.5, 2.6)
(-0.3, 0.5, 1.3)
(0.2, 0.5, 0.5)
(0.6, 0.5, 0.1)
(-0.7, 0.6, 2.2)
(-0.3, 0.6, 1.3)
(0.0, 0.6, 0.6)
(0.4, 0.6, 0.2)
(-0.7, 0.7, 2.0)
(-0.4, 0.7, 1.3)
(-0.2, 0.7, 0.7)
(0.1, 0.7, 0.3)
(-0.7, 0.8, 1.7)
(-0.5, 0.8, 1.2)
(-0.3, 0.8, 0.9)
(-0.2, 0.8, 0.6)
(-0.7, 0.9, 1.4)
(-0.6, 0.9, 1.2)
(-0.5, 0.9, 1.0)
(-0.4, 0.9, 0.8)
(-0.6, -1.0, 9.0)
(1.3, -1.0, 1.2)
(3.2, -1.0, 0.6)
(5.0, -1.0, 6.9)
(-0.6, -0.9, 8.4)
(1.2, -0.9, 1.2)
(3.0, -0.9, 0.5)
(4.8, -0.9, 6.0)
(-0.6, -0.8, 7.8)
(1.1, -0.8, 1.2)
(2.8, -0.8, 0.4)
(4.5, -0.8, 5.2)
(-0.6, -0.7, 7.3)
(1.0, -0.7, 1.2)
(2.6, -0.7, 0.3)
(4.2, -0.7, 4.5)
(-0.6, -0.6, 6.8)
(0.9, -0.6, 1.2)
(2.4, -0.6, 0.2)
(3.9, -0.6, 3.8)
(-0.6, -0.5, 6.2)
(0.8, -0.5, 1.2)
(2.2, -0.5, 0.1)
(3.7, -0.5, 3.1)
(-0.6, -0.4, 5.8)
(0.7, -0.4, 1.1)
(2.1, -0.4, 0.1)
(3.4, -0.4, 2.5)
(-0.6, -0.3, 5.3)
(0.6, -0.3, 1.1)
(1.9, -0.3, 0.0)
(3.1, -0.3, 2.0)
(-0.6, -0.2, 4.8)
(0.5, -0.2, 1.1)
(1.7, -0.2, 0.0)
(2.8, -0.2, 1.6)
(-0.6, -0.1, 4.4)
(0.5, -0.1, 1.1)
(1.5, -0.1, 0.0)
(2.6, -0.1, 1.1)
(-0.6, 0.0, 4.0)
(0.4, 0.0, 1.1)
(1.3, 0.0, 0.0)
(2.3, 0.0, 0.8)
(-0.6, 0.1, 3.6)
(0.3, 0.1, 1.0)
(1.1, 0.1, 0.0)
(2.0, 0.1, 0.5)
(-0.6, 0.2, 3.2)
(0.2, 0.2, 1.0)
(1.0, 0.2, 0.1)
(1.7, 0.2, 0.3)
(-0.6, 0.3, 2.9)
(0.1, 0.3, 1.0)
(0.8, 0.3, 0.1)
(1.4, 0.3, 0.1)
(-0.6, 0.4, 2.6)
(-0.0, 0.4, 1.0)
(0.6, 0.4, 0.2)
(1.2, 0.4, 0.0)
(-0.6, 0.5, 2.2)
(-0.1, 0.5, 1.0)
(0.4, 0.5, 0.3)
(0.9, 0.5, 0.0)
(-0.6, 0.6, 2.0)
(-0.2, 0.6, 1.0)
(0.2, 0.6, 0.4)
(0.6, 0.6, 0.0)
(-0.6, 0.7, 1.7)
(-0.3, 0.7, 1.0)
(-0.0, 0.7, 0.5)
(0.3, 0.7, 0.2)
(-0.6, 0.8, 1.4)
(-0.4, 0.8, 1.0)
(-0.2, 0.8, 0.6)
(-0.0, 0.8, 0.4)
(-0.6, 0.9, 1.2)
(-0.5, 0.9, 1.0)
(-0.4, 0.9, 0.8)
(-0.3, 0.9, 0.6)
(-0.5, -1.0, 8.4)
(1.6, -1.0, 0.7)
(3.6, -1.0, 1.5)
(5.6, -1.0, 10.5)
(-0.5, -0.9, 7.8)
(1.4, -0.9, 0.7)
(3.4, -0.9, 1.2)
(5.3, -0.9, 9.2)
(-0.5, -0.8, 7.3)
(1.3, -0.8, 0.7)
(3.2, -0.8, 1.0)
(5.0, -0.8, 7.9)
(-0.5, -0.7, 6.8)
(1.2, -0.7, 0.7)
(3.0, -0.7, 0.8)
(4.7, -0.7, 6.8)
(-0.5, -0.6, 6.2)
(1.1, -0.6, 0.7)
(2.8, -0.6, 0.6)
(4.4, -0.6, 5.8)
(-0.5, -0.5, 5.8)
(1.0, -0.5, 0.7)
(2.6, -0.5, 0.4)
(4.1, -0.5, 4.8)
(-0.5, -0.4, 5.3)
(0.9, -0.4, 0.7)
(2.4, -0.4, 0.3)
(3.8, -0.4, 4.0)
(-0.5, -0.3, 4.8)
(0.8, -0.3, 0.7)
(2.2, -0.3, 0.2)
(3.5, -0.3, 3.2)
(-0.5, -0.2, 4.4)
(0.7, -0.2, 0.7)
(2.0, -0.2, 0.1)
(3.2, -0.2, 2.5)
(-0.5, -0.1, 4.0)
(0.6, -0.1, 0.8)
(1.8, -0.1, 0.1)
(2.9, -0.1, 1.9)
(-0.5, 0.0, 3.6)
(0.5, 0.0, 0.8)
(1.6, 0.0, 0.0)
(2.6, 0.0, 1.4)
(-0.5, 0.1, 3.2)
(0.4, 0.1, 0.8)
(1.4, 0.1, 0.0)
(2.3, 0.1, 1.0)
(-0.5, 0.2, 2.9)
(0.3, 0.2, 0.8)
(1.2, 0.2, 0.0)
(2.0, 0.2, 0.6)
(-0.5, 0.3, 2.6)
(0.2, 0.3, 0.8)
(1.0, 0.3, 0.0)
(1.7, 0.3, 0.3)
(-0.5, 0.4, 2.2)
(0.1, 0.4, 0.8)
(0.7, 0.4, 0.1)
(1.4, 0.4, 0.1)
(-0.5, 0.5, 2.0)
(0.0, 0.5, 0.8)
(0.5, 0.5, 0.1)
(1.1, 0.5, 0.0)
(-0.5, 0.6, 1.7)
(-0.1, 0.6, 0.8)
(0.3, 0.6, 0.2)
(0.8, 0.6, 0.0)
(-0.5, 0.7, 1.4)
(-0.2, 0.7, 0.8)
(0.1, 0.7, 0.3)
(0.4, 0.7, 0.1)
(-0.5, 0.8, 1.2)
(-0.3, 0.8, 0.8)
(-0.1, 0.8, 0.5)
(0.1, 0.8, 0.2)
(-0.5, 0.9, 1.0)
(-0.4, 0.9, 0.8)
(-0.3, 0.9, 0.6)
(-0.2, 0.9, 0.5)
(-0.4, -1.0, 7.8)
(1.8, -1.0, 0.4)
(3.9, -1.0, 2.3)
(6.1, -1.0, 13.4)
(-0.4, -0.9, 7.3)
(1.6, -0.9, 0.4)
(3.7, -0.9, 1.9)
(5.7, -0.9, 11.7)
(-0.4, -0.8, 6.8)
(1.5, -0.8, 0.4)
(3.5, -0.8, 1.6)
(5.4, -0.8, 10.1)
(-0.4, -0.7, 6.2)
(1.4, -0.7, 0.5)
(3.2, -0.7, 1.3)
(5.0, -0.7, 8.7)
(-0.4, -0.6, 5.8)
(1.3, -0.6, 0.5)
(3.0, -0.6, 1.0)
(4.7, -0.6, 7.4)
(-0.4, -0.5, 5.3)
(1.2, -0.5, 0.5)
(2.8, -0.5, 0.8)
(4.4, -0.5, 6.2)
(-0.4, -0.4, 4.8)
(1.1, -0.4, 0.5)
(2.6, -0.4, 0.6)
(4.1, -0.4, 5.1)
(-0.4, -0.3, 4.4)
(1.0, -0.3, 0.5)
(2.4, -0.3, 0.4)
(3.7, -0.3, 4.2)
(-0.4, -0.2, 4.0)
(0.9, -0.2, 0.5)
(2.2, -0.2, 0.3)
(3.4, -0.2, 3.3)
(-0.4, -0.1, 3.6)
(0.8, -0.1, 0.5)
(1.9, -0.1, 0.2)
(3.1, -0.1, 2.6)
(-0.4, 0.0, 3.2)
(0.7, 0.0, 0.5)
(1.7, 0.0, 0.1)
(2.8, 0.0, 1.9)
(-0.4, 0.1, 2.9)
(0.6, 0.1, 0.5)
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(0.9, 0.4, 0.0)
(1.2, 0.4, 0.1)
(1.6, 0.4, 0.3)
(1.9, 0.4, 0.9)
(0.9, 0.5, 0.0)
(1.2, 0.5, 0.1)
(1.5, 0.5, 0.3)
(1.8, 0.5, 0.7)
(0.9, 0.6, 0.0)
(1.1, 0.6, 0.1)
(1.4, 0.6, 0.3)
(1.6, 0.6, 0.6)
(0.9, 0.7, 0.0)
(1.1, 0.7, 0.1)
(1.2, 0.7, 0.3)
(1.4, 0.7, 0.5)
(0.9, 0.8, 0.1)
(1.0, 0.8, 0.2)
(1.1, 0.8, 0.3)
(1.2, 0.8, 0.4)
(0.9, 0.9, 0.2)
(1.0, 0.9, 0.2)
(1.0, 0.9, 0.3)
(1.1, 0.9, 0.3)

plot_loss.c

#include <stdio.h>

#include "nn/nn.h"

int main(int argc, char *argv[]) {
  tensor_t target;
  make_fill_tensor(&target, make_shape(1, 1), 1.4);

  tensor_t input, output;
  make_fill_tensor(&input, make_shape(1, 1), 1.0);

  linear_t linear;
  make_fill_tensor(&linear.w, make_shape(1, 1), 1.0f);
  make_fill_tensor(&linear.b, make_shape(1, 1), 0.0f);
  tensor_t *model_params[] = {&linear.w, &linear.b};

  size_t max_steps = 3;
  FILE *out = fopen("plot.txt", "w+");
  for (float w = -1.0f; w <= 1.0; w += 0.1f) {
    for (float b = -1.0f; b <= 1.0f; b += 0.1f) {
      linear.b.data[0] = b;
      linear.w.data[0] = w;
      for (size_t step = 0; step <= max_steps; step++) {
        linear_forward(input, linear, &output);
        tensor_t loss = mse_loss(output, target);
        printf("step %.2zu; loss = %.2f\n", step, loss.data[0]);
        fprintf(out, "(%.1f, %.1f, %.1f)\n", linear.w.data[0], linear.b.data[0],
                loss.data[0]);

        zero_grad(model_params, 2);
        mse_loss_backward(&output, target, loss);
        linear_backward(&input, &linear, output);

        optim_step(model_params, 2, 0.001f);

        free_tensor(&loss);
      }
    }
  }
  fclose(out);

  printf("output = \n");
  print_tensor(output);
  print_tensor(target);
  printf("w = \n");
  print_tensor(linear.w);
  printf("b = \n");
  print_tensor(linear.b);

  tensor_t *ctx[] = {&target, &input, &output, &linear.w, &linear.b};
  for (size_t i = 0; i < LEN(ctx); i++) {
    free_tensor(ctx[i]);
  }
  return 0;
}