Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
The bug in the code is that it uses the transpose of the weight matrices `w1` and `w2` in the `mlp_apply` function. This is incorrect because in a linear layer, the weights are multiplied by the input on the left, not on the right. The corrected `mlp_apply` function is:
1 2 3 4 5 6 7 8 9 | def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) if __name__ == "__main__": # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) if __name__ == "__main__": # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
1 2 3 4 5 6 7 8 9 10 11 12 13 | Traceback (most recent call last): File "/usr/src/app/main.py", line 30, in <module> y = mlp_apply(params, x) ^^^^^^^^^^^^^^^^^^^^ File "/usr/src/app/main.py", line 17, in mlp_apply x = jnp.dot(x, params['w1']) + params['b1'] ^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/lax_numpy.py", line 3326, in dot result = lax.dot_general(a, b, dimension_numbers=(contract_dims, batch_dims), ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ TypeError: dot_general requires contracting dimensions to have the same shape, got (10,) and (20,).</p> <hr /> <p>For simplicity, JAX has removed its internal frames from the traceback of the following exception. Set JAX_TRACEBACK_FILTERING=off to include these. |
Testing if the previous output contains the string 0.99999
: False
Testing if the previous output contains the string 1.0
: False
Testing if the previous output contains the string 1.00000
: False
Testing if the previous output contains the string 1.0,
: False
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
The bug in the code is that the `jax.nn.softmax` function takes the `axis` argument by default as 0, not 1. To fix this, we need to explicitly specify `axis=1` in the call to `jax.nn.softmax`. Here is the full correct version of the code:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | Traceback (most recent call last): File "/usr/src/app/main.py", line 30, in <module> print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] ^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 226, in sum return _reduce_sum(a, axis=_ensure_optional_axes(axis), dtype=dtype, out=out, ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 216, in _reduce_sum return _reduction(a, "sum", np.sum, lax.add, 0, preproc=_cast_to_numeric, ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 96, in _reduction pos_dims, dims = _reduction_dims(a, axis) ^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 154, in _reduction_dims canon_axis = tuple(_canonicalize_axis_allow_named(x, np.ndim(a)) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 154, in <genexpr> canon_axis = tuple(_canonicalize_axis_allow_named(x, np.ndim(a)) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 147, in _canonicalize_axis_allow_named return maybe_named_axis(x, lambda i: _canonicalize_axis(i, rank), lambda name: name) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 147, in <lambda> return maybe_named_axis(x, lambda i: _canonicalize_axis(i, rank), lambda name: name) ^^^^^^^^^^^^^^^^^^^^^^^^^^^ ValueError: axis 1 is out of bounds for array of dimension 1</p> <hr /> <p>For simplicity, JAX has removed its internal frames from the traceback of the following exception. Set JAX_TRACEBACK_FILTERING=off to include these. |
Testing if the previous output contains the string 0.99999
: False
Testing if the previous output contains the string 1.0
: False
Testing if the previous output contains the string 1.00000
: False
Testing if the previous output contains the string 1.0,
: False
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
The bug in the code is that the `jnp.dot` function is used incorrectly. The correct syntax is `jnp.dot(x, params['w1'])`, not `jnp.dot(x, params['w1'].T)`. The correct version of the code is:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1']) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2']) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
1 2 3 4 5 6 7 8 9 10 11 12 13 | Traceback (most recent call last): File "/usr/src/app/main.py", line 29, in <module> y = mlp_apply(params, x) ^^^^^^^^^^^^^^^^^^^^ File "/usr/src/app/main.py", line 17, in mlp_apply x = jnp.dot(x, params['w1']) + params['b1'] ^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/lax_numpy.py", line 3326, in dot result = lax.dot_general(a, b, dimension_numbers=(contract_dims, batch_dims), ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ TypeError: dot_general requires contracting dimensions to have the same shape, got (10,) and (20,).</p> <hr /> <p>For simplicity, JAX has removed its internal frames from the traceback of the following exception. Set JAX_TRACEBACK_FILTERING=off to include these. |
Testing if the previous output contains the string 0.99999
: False
Testing if the previous output contains the string 1.0
: False
Testing if the previous output contains the string 1.00000
: False
Testing if the previous output contains the string 1.0,
: False
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
The bug is that the first linear layer's weight should be initialized with `jnp.sqrt(2.0 / hidden_size)` instead of `jnp.sqrt(2.0 / input_size)`.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / hidden_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / output_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / hidden_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / output_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / hidden_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / output_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | Traceback (most recent call last): File "/usr/src/app/main.py", line 30, in <module> print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] ^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 226, in sum return _reduce_sum(a, axis=_ensure_optional_axes(axis), dtype=dtype, out=out, ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 216, in _reduce_sum return _reduction(a, "sum", np.sum, lax.add, 0, preproc=_cast_to_numeric, ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 96, in _reduction pos_dims, dims = _reduction_dims(a, axis) ^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 154, in _reduction_dims canon_axis = tuple(_canonicalize_axis_allow_named(x, np.ndim(a)) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 154, in <genexpr> canon_axis = tuple(_canonicalize_axis_allow_named(x, np.ndim(a)) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 147, in _canonicalize_axis_allow_named return maybe_named_axis(x, lambda i: _canonicalize_axis(i, rank), lambda name: name) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 147, in <lambda> return maybe_named_axis(x, lambda i: _canonicalize_axis(i, rank), lambda name: name) ^^^^^^^^^^^^^^^^^^^^^^^^^^^ ValueError: axis 1 is out of bounds for array of dimension 1</p> <hr /> <p>For simplicity, JAX has removed its internal frames from the traceback of the following exception. Set JAX_TRACEBACK_FILTERING=off to include these. |
Testing if the previous output contains the string 0.99999
: False
Testing if the previous output contains the string 1.0
: False
Testing if the previous output contains the string 1.00000
: False
Testing if the previous output contains the string 1.0,
: False
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
Fix the bug in this jnp function. Write out the full correct version of the code. import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1]
The bug is in the `mlp_apply` function. The `softmax` activation should be applied to the last dimension, not the first dimension. The corrected version of the code is:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=-1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=-1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | import jax import jax.numpy as jnp def init_mlp_params(input_size, hidden_size, output_size, key): k1, k2 = jax.random.split(key) # Initialize weights and biases for the first linear layer w1 = jax.random.normal(k1, (hidden_size, input_size)) * jnp.sqrt(2.0 / input_size) b1 = jnp.zeros(hidden_size) # Initialize weights and biases for the second linear layer w2 = jax.random.normal(k2, (output_size, hidden_size)) * jnp.sqrt(2.0 / hidden_size) b2 = jnp.zeros(output_size) return {'w1': w1, 'b1': b1, 'w2': w2, 'b2': b2} def mlp_apply(params, x): # First linear layer x = jnp.dot(x, params['w1'].T) + params['b1'] # Relu activation x = jax.nn.relu(x) # Second linear layer x = jnp.dot(x, params['w2'].T) + params['b2'] # Softmax activation return jax.nn.softmax(x, axis=-1) # Example usage: key = jax.random.PRNGKey(0) params = init_mlp_params(10, 20, 30, key) x = jax.random.normal(key, (5, 10)) # random input similar to torch.randn y = mlp_apply(params, x) print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | Traceback (most recent call last): File "/usr/src/app/main.py", line 30, in <module> print(list(y.flatten().sum(1))) # The output sum should be very close to [1, 1, 1, 1, 1] ^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 226, in sum return _reduce_sum(a, axis=_ensure_optional_axes(axis), dtype=dtype, out=out, ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 216, in _reduce_sum return _reduction(a, "sum", np.sum, lax.add, 0, preproc=_cast_to_numeric, ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 96, in _reduction pos_dims, dims = _reduction_dims(a, axis) ^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 154, in _reduction_dims canon_axis = tuple(_canonicalize_axis_allow_named(x, np.ndim(a)) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 154, in <genexpr> canon_axis = tuple(_canonicalize_axis_allow_named(x, np.ndim(a)) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 147, in _canonicalize_axis_allow_named return maybe_named_axis(x, lambda i: _canonicalize_axis(i, rank), lambda name: name) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ File "/usr/local/lib/python3.11/dist-packages/jax/_src/numpy/reductions.py", line 147, in <lambda> return maybe_named_axis(x, lambda i: _canonicalize_axis(i, rank), lambda name: name) ^^^^^^^^^^^^^^^^^^^^^^^^^^^ ValueError: axis 1 is out of bounds for array of dimension 1</p> <hr /> <p>For simplicity, JAX has removed its internal frames from the traceback of the following exception. Set JAX_TRACEBACK_FILTERING=off to include these. |
Testing if the previous output contains the string 0.99999
: False
Testing if the previous output contains the string 1.0
: False
Testing if the previous output contains the string 1.00000
: False
Testing if the previous output contains the string 1.0,
: False