diff --git a/8_sgd_vs_gd/gd_and_sgd.ipynb b/8_sgd_vs_gd/gd_and_sgd.ipynb index 6064565..4ae406b 100644 --- a/8_sgd_vs_gd/gd_and_sgd.ipynb +++ b/8_sgd_vs_gd/gd_and_sgd.ipynb @@ -351,7 +351,7 @@ }, { "data": { - "image/png": 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ZhJn1jDzPJC4FtkXE9oiYAG4D1rfssx74UiTuAQYlrcqxTcfsFUMDPLhjL42GJ6/NbPHLMySGgKcy6yNpWaf7BHCnpC2Srmv3QyRdJ2lY0vDo6OgCNPvwLl4zwP6xGk948trMekCeIaE5ylr/+X24fa6IiNeQDEl9RNKvzfVDIuLmiFgXEetWrlx59K3t0CumJq/35P6zzMy6Lc+QGAHOzqyvAXZ0uk9ENL93AbeTDF913YVnrqBS8uS1mfWGPENiM3CBpLWSKsA1wMaWfTYC70+vcroc2BsROyUtk7QCQNIy4C3Agzm2tWPlYoGXrernPk9em1kPyO3qpoioSboBuAMoArdExEOSrk+3bwA2AW8FtgEHgQ+l1c8EbpfUbOOtEfHdvNo6X5evPZVb/t9j7Dk4weDSSrebY2aWm9xCAiAiNpEEQbZsQ2Y5gI/MUW87cEmebTsWv3XJaj73g+1858FneNel53S7OWZmufEd10fh5av7Of/0ZWy8t3WKxcxscXFIHAVJ/NYlq7nnsed4dp/fe21mi5dD4ihd/arVRMC379/Z7aaYmeXGIXGUfmnlcl6+up+N93nIycwWL4fEMbj6ktXc99QennjuQLebYmaWC4fEMXjbJasB+DufTZjZIuWQOAZDg1XWnXsKt//z09T9wD8zW4QcEsfog1ecx6OjB7ht85PdboqZ2YJzSByj33zlKi4//1T++x1beeHARLebY2a2oBwSx0gSf3L1y9k/VuNTd27tdnPMzBaUQ2IBvPSsft7/2nO59SdP+umwZraoOCQWyMd+/UJOW1bhD//2QcZr9W43x8xsQTgkFshAtcyfXP1y7n1qD9d/eYuDwswWBYfEAnrbxav583e8kn/aOsq/+8pPHRRmdtJzSCywd192Dn/2jlfwjz/fxb/98hae9xVPZnYSc0jk4D2Xncufv+OV/PCR3bzx0/+Xr21+koZvtjOzk5BDIifvvuwc/v6jv8qFZ6zg4998gN/ecDd/f/9OD0GZ2UlFycvhFod169bF8PBwt5sxQ0TwjS0j/MU/PMLTew5xytIyb3/1EG986RmsO/dUqpVit5toZj1M0paIWNd2u0Pi+Kg3gh9u283XNj/J9x5+lsl6UCkWeNU5g1w8NMBFq/t52ap+1p6+jL6yg8PMjo8jhUSu77i2acWCeN2FK3ndhSs5MF5j8+PPc/ejz/Hj7c/x5XueYLzWmNp31UAf5562lKHBpawe7GPVQJWzBpZwxoo+zlixhFOXVSgVPVJoZvlzSHTBsiUlXv+SM3j9S84AoFZv8NjuA/zsmf08vvsAjz93gCeeO8jdj+7m2X1jtM55S3DK0gqnLatw6rIKpy2vcMrSZHlwaYVTlpY5ZWmFgaVlBqtlBpdW6O8rOVjMbN4cEieAUrHABWeu4IIzV8zaVqs3eHb/OLv2jbFr/zi79o+ze/84u19MPi8cmGTrM/t5/sAEew9NzgqUrOVLSgxUy/RXy/T3ldLvMv3VEv19ZVb0ldJPeep7+ZIS/X0llveVqJaLSMrxN2FmJxqHxAmuVCwwNFhlaLB6xH0bjWDf2CQvHJzkhYNJaOw9OMmegxPsPVRjz6GkbN+hGvsOTfLU8wfZP5Ys7x+vHfH4BSVnQcvTz7Kp7yLLKsn60szyskqRaqXI0srM5aVTy0X6SkUKBQeP2YnKIbGIFApicGky5LSWZfOqW28EL47X2D82yf6x2qzlF8dqU8sHxtOydHl0/zgHJmocnKjz4niNicz8Sif6ygWq5SLVcpG+NDyq5SJ92U+pQLUyvbykXGRJqTC1vbmc/V5SLrCklCxXSoWp70qx4DMisw45JAxIJtYHqmUGquVjPlat3uDgZJ0D40lwHByvc2CixqGJOgcnkuWxyWT54ESdQxM1xiYbHJqsc2iizthknUOTdfaPJQE0Xmsk5bVk29jk/EJoLpVSgSXFNDQy4dFcLheTUCkXk/JyqUC5qKmy5qdSFOVigVIx2d4sLxVFJf0up9tKhen1UkFT+5UKs7c114uFZHuxIAebdYVDwhZcqVigv1igv+/YA2cuEcF4rcH4ZIOxWp3xyQbjtSQ8xmt1xmsNxibrTNQa08v1xtT6eK25nOwzUWtMbc8uvzheYzJdnqzH1LZafeb68dIMi1JBlIoFioWZITL9Pb2tWV7IbC8WRFFJWVGiWEy/C6Kg6f2LBWbsV0i3H668oOayKIjpbVP7MRV4BU3v31xOtmXKCzP3kbLbk2+ps32yP1NMr099I1SY3t6sBzN/TlKXnglth4SddCRNDTMNkE8QdSoiqDeCiTQ4mgEyWW+kn2S51pjeVms0qNVjuiz9rtWDyUaDeiOmjlVrJMev1RvUI5J96kEjkuMk24J6xPRyI9J6DeoB9fTnTdYbHJpMtjc/jcisR9BoMFW/ua3R3NbcnpYbcwbH1DKZ0Mpub6kDaYjNOp6mfkbzeFPrTB9LwGnLlvA31782lz7mGhKSrgT+J1AEPh8R/6Vlu9LtbwUOAh+MiJ92UtfsRCApGTLqwcuL5wqPZDloBFMh1AybmFHG1LZGI7Oc7gNBPQ2sYLpukOwbkZRl929k9on0eM19GtnjpOWR9iGieVwyx02O16wT2TqRKYOp/ZvL0+XTP3/Gceaow9T2lmOR/NBmJMeMbdM/o7+a31/luR1ZUhG4CXgzMAJslrQxIh7O7HYVcEH6uQz4LHBZh3XNrIsKBVGgN4Zcelme//y5FNgWEdsjYgK4DVjfss964EuRuAcYlLSqw7pmZpazPENiCHgqsz6SlnWyTyd1AZB0naRhScOjo6PH3GgzM5uWZ0jMdR7aOtvVbp9O6iaFETdHxLqIWLdy5cp5NtHMzA4nz4nrEeDszPoaYEeH+1Q6qGtmZjnL80xiM3CBpLWSKsA1wMaWfTYC71ficmBvROzssK6ZmeUstzOJiKhJugG4g+Qy1lsi4iFJ16fbNwCbSC5/3UZyCeyHDlc3r7aamdnc/NIhM7MedqSXDvXeHUBmZtaxRXUmIWkUeOIoq58O7F7A5pwMerHP0Jv97sU+Q2/2e759Pjci2l4auqhC4lhIGj7cKddi1It9ht7sdy/2GXqz3wvdZw83mZlZWw4JMzNryyEx7eZuN6ALerHP0Jv97sU+Q2/2e0H77DkJMzNry2cSZmbWlkPCzMza6vmQkHSlpK2Stkm6sdvtWSiSzpb0T5J+JukhSf8+LT9V0vckPZJ+n5Kp84n097BV0m90r/XHTlJR0j9L+na6vqj7LWlQ0jck/Tz9b/7axd5nAEn/If3/+0FJfy2pbzH2W9ItknZJejBTNu9+SvplSQ+k2z6jTl7UHVOvAuy9D8lzoR4Fzid58ux9wEXdbtcC9W0V8Jp0eQXwC+Ai4L8BN6blNwL/NV2+KO3/EmBt+nspdrsfx9D/3wNuBb6dri/qfgNfBK5NlyvAYA/0eQh4DKim638DfHAx9hv4NeA1wIOZsnn3E/gJ8FqS1zF8B7jqSD+7188kFu0b8CJiZ6TvC4+I/cDPSP5QrSf5C4X0++3p8nrgtogYj4jHSB66eOlxbfQCkbQG+E3g85niRdtvSf0kf4n8FUBETETEHhZxnzNKQFVSCVhK8kqBRdfviPgB8HxL8bz6mb71sz8ifhRJYnwpU6etXg+Jjt+AdzKTdB7wauDHwJmRPI6d9PuMdLfF9Lv4C+A/Ao1M2WLu9/nAKPCFdIjt85KWsbj7TEQ8DXwKeBLYSfKqgTtZ5P3OmG8/h9Ll1vLD6vWQ6PgNeCcrScuBbwIfi4h9h9t1jrKT7nch6W3ArojY0mmVOcpOtn6XSIYiPhsRrwYOkAw/tLMY+kw6Br+eZEhlNbBM0nsPV2WOspOu3x045jd+ZvV6SHTy9ryTlqQySUB8NSK+lRY/m552kn7vSssXy+/iCuBqSY+TDB++UdJXWNz9HgFGIuLH6fo3SEJjMfcZ4NeBxyJiNCImgW8B/5LF3++m+fZzJF1uLT+sXg+JRfsGvPSqhb8CfhYR/yOzaSPwgXT5A8D/yZRfI2mJpLXABSSTXCeViPhERKyJiPNI/nv+Y0S8l0Xc74h4BnhK0kvSojcBD7OI+5x6Erhc0tL0//c3kcy9LfZ+N82rn+mQ1H5Jl6e/r/dn6rTX7Vn7bn9I3oz3C5IrAP6g2+1ZwH79Csmp5P3AvennrcBpwPeBR9LvUzN1/iD9PWylg6seTvQP8Hqmr25a1P0GXgUMp/+9/xY4ZbH3Oe3HfwZ+DjwIfJnkip5F12/gr0nmXSZJzgg+fDT9BNalv6tHgf9F+tSNw338WA4zM2ur14ebzMzsMBwSZmbWlkPCzMzackiYmVlbDgkzM2vLIWF2ApD0+uYTa81OJA4JMzNryyFhNg+S3ivpJ5LulfS59L0VL0r6tKSfSvq+pJXpvq+SdI+k+yXd3nzev6R/IekfJN2X1vml9PDLM++E+GpHz/o3y5lDwqxDkl4G/Gvgioh4FVAH3gMsA34aEa8B7gL+OK3yJeDjEXEx8ECm/KvATRFxCcmzhnam5a8GPkbyPoDzSZ5DZdZVpW43wOwk8ibgl4HN6T/yqyQPVWsAX0v3+QrwLUkDwGBE3JWWfxH4uqQVwFBE3A4QEWMA6fF+EhEj6fq9wHnAD3PvldlhOCTMOifgixHxiRmF0n9q2e9wz7o53BDSeGa5jv982gnAw01mnfs+8E5JZ8DUO4bPJflz9M50n3cDP4yIvcALkn41LX8fcFck7/QYkfT29BhLJC09np0wmw//S8WsQxHxsKQ/BO6UVCB5IudHSF7y83JJW4C9JPMWkDy+eUMaAtuBD6Xl7wM+J+mT6TF+5zh2w2xe/BRYs2Mk6cWIWN7tdpjlwcNNZmbWls8kzMysLZ9JmJlZWw4JMzNryyFhZmZtOSTMzKwth4SZmbX1/wESpRPYkA1oYQAAAABJRU5ErkJggg==\n", + "image/png": 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", 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" ] @@ -535,7 +535,7 @@ " \n", " return w, b, cost, cost_list, epoch_list\n", "\n", - "w_sgd, b_sgd, cost_sgd, cost_list_sgd, epoch_list_sgd = SGD(scaled_X,scaled_y.reshape(scaled_y.shape[0],),10000)\n", + "w_sgd, b_sgd, cost_sgd, cost_list_sgd, epoch_list_sgd = stochastic_gradient_descent(scaled_X,scaled_y.reshape(scaled_y.shape[0],),10000)\n", "w_sgd, b_sgd, cost_sgd" ] }, @@ -583,7 +583,7 @@ }, { "data": { - "image/png": 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\n", 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", 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