From 17fc48e2f8f219f67710e7100355d3286aec7350 Mon Sep 17 00:00:00 2001 From: Sasha Date: Sun, 29 Sep 2024 21:37:26 -0400 Subject: [PATCH] . --- misc/expgraph3.webp | Bin 0 -> 18872 bytes module2/module2/index.html | 395 +- sitemap.xml | 80 +- sitemap.xml.gz | Bin 451 -> 461 bytes slides/module2/module2.0.slides.html | 10520 +++++++++++++++++++++++++ slides/module2/module2.0.slides.pdf | Bin 0 -> 566381 bytes slides/module2/module2.0/index.html | 1937 +++++ slides/module2/module2.1/index.html | 1840 +++++ 8 files changed, 14637 insertions(+), 135 deletions(-) create mode 100644 misc/expgraph3.webp create mode 100644 slides/module2/module2.0.slides.html create mode 100644 slides/module2/module2.0.slides.pdf create mode 100644 slides/module2/module2.0/index.html create mode 100644 slides/module2/module2.1/index.html diff --git a/misc/expgraph3.webp b/misc/expgraph3.webp new file mode 100644 index 0000000000000000000000000000000000000000..56566b0cf7a3f7ef52980048622e7e278d9aaa1e GIT binary 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Converts a multidimensional tensor index into a single-dimensional position in storage based on strides.

-
-
index : index tuple of ints
-strides : tensor strides
-
-
-
Position in storage
-
+ + +

Parameters:

+
    +
  • + index + – +
    +

    index tuple of ints

    +
    +
  • +
  • + strides + – +
    +

    tensor strides

    +
    +
  • +
+ + +

Returns:

+
    +
  • + int + – +
    +

    Position in storage

    +
    +
  • +
@@ -1433,11 +1457,33 @@

Should ensure that enumerating position 0 ... size of a tensor produces every index exactly once. It may not be the inverse of index_to_position.

-
-
ordinal: ordinal position to convert.
-shape : tensor shape.
-out_index : return index corresponding to position.
-
+ + +

Parameters:

+
    +
  • + ordinal + (int) + – +
    +

    ordinal position to convert.

    +
    +
  • +
  • + shape + – +
    +

    tensor shape.

    +
    +
  • +
  • + out_index + – +
    +

    return index corresponding to position.

    +
    +
  • +
@@ -1455,12 +1501,33 @@

Permute the dimensions of the tensor.

-
-
*order: a permutation of the dimensions
-
-
-
New `TensorData` with the same storage and a new dimension order.
-
+ + +

Parameters:

+
    +
  • + *order + (int, default: + () +) + – +
    +

    a permutation of the dimensions

    +
    +
  • +
+ + +

Returns:

+
    +
  • + TensorData + – +
    +

    New TensorData with the same storage and a new dimension order.

    +
    +
  • +
@@ -1484,16 +1551,49 @@

Broadcast two shapes to create a new union shape.

-
-
shape1 : first shape
-shape2 : second shape
-
-
-
broadcasted shape
-
-
-
IndexingError : if cannot broadcast
-
+ + +

Parameters:

+
    +
  • + shape1 + – +
    +

    first shape

    +
    +
  • +
  • + shape2 + – +
    +

    second shape

    +
    +
  • +
+ + +

Returns:

+
    +
  • + UserShape + – +
    +

    broadcasted shape

    +
    +
  • +
+ + +

Raises:

+
    +
  • + IndexingError + – +
    +

    if cannot broadcast

    +
    +
  • +
@@ -1515,15 +1615,51 @@

it may be larger or with more dimensions than the shape given. Additional dimensions may need to be mapped to 0 or removed.

-
-
big_index : multidimensional index of bigger tensor
-big_shape : tensor shape of bigger tensor
-shape : tensor shape of smaller tensor
-out_index : multidimensional index of smaller tensor
-
-
-
None
-
+ + +

Parameters:

+
    +
  • + big_index + – +
    +

    multidimensional index of bigger tensor

    +
    +
  • +
  • + big_shape + – +
    +

    tensor shape of bigger tensor

    +
    +
  • +
  • + shape + – +
    +

    tensor shape of smaller tensor

    +
    +
  • +
  • + out_index + – +
    +

    multidimensional index of smaller tensor

    +
    +
  • +
+ + +

Returns:

+
    +
  • + None + – +
    +

    None

    +
    +
  • +
@@ -1542,52 +1678,12 @@

the expression at in Streamlit to view the graph

y = x * z + 10.0
 
-
>>> python project/show_expression.py
+
>>> streamlit run project/app.py -- 2
 
-

+

Todo

-

Add functions in minitorch/tensor.py, minitorch/tensor_ops.py and -minitorch/tensor_functions.py for each of the following, and pass tests -marked as task2_3.

-

In the base tensor.py file you need to implement many of the same functions -from minitorch/scalar.py.

-

Information:

-
    -
  • shape
  • -
  • size
  • -
  • dims
  • -
-

Operators (you will likely find _ensure_tensor useful here):

-
    -
  • add
  • -
  • sub
  • -
  • mul
  • -
  • lt
  • -
  • eq
  • -
  • gt
  • -
  • neg
  • -
  • radd
  • -
  • rmul
  • -
  • all
  • -
  • is_close
  • -
  • sigmoid
  • -
  • relu
  • -
  • log
  • -
  • exp
  • -
-

Should take an optional dim argument: -- sum -- mean

-
    -
  • permute
  • -
  • view
  • -
-

Should set grad to None

-
    -
  • zero_grad_
  • -
-

Next in the tensor_ops.py file you need to implement these three +

First in the tensor_ops.py file you need to implement these three core functions. See the docs for detailed explanations.

@@ -1617,12 +1713,31 @@

value of in_storage assuming out_shape and in_shape broadcast. (in_shape must be smaller than out_shape). -
-
fn: function from float-to-float to apply
-
-
-
Tensor map function.
-
+ + +

Parameters:

+
    +
  • + fn + (Callable[[float], float]) + – +
    +

    function from float-to-float to apply

    +
    +
  • +
+ + +

Returns:

+
    +
  • + Callable[[Storage, Shape, Strides, Storage, Shape, Strides], None] + – +
    +

    Tensor map function.

    +
    +
  • +

@@ -1653,12 +1768,31 @@

value of a_storage and b_storage assuming a_shape and b_shape broadcast to out_shape. -
-
fn: function mapping two floats to float to apply
-
-
-
Tensor zip function.
-
+ + +

Parameters:

+
    +
  • + fn + (Callable[[float, float], float]) + – +
    +

    function mapping two floats to float to apply

    +
    +
  • +
+ + +

Returns:

+
    +
  • + Callable[[Storage, Shape, Strides, Storage, Shape, Strides, Storage, Shape, Strides], None] + – +
    +

    Tensor zip function.

    +
    +
  • +
@@ -1680,18 +1814,37 @@

  • out_shape will be the same as a_shape except with reduce_dim turned to size 1
  • -
    -
    fn: reduction function mapping two floats to float
    -
    -
    -
    Tensor reduce function.
    -
    + + +

    Parameters:

    +
      +
    • + fn + (Callable[[float, float], float]) + – +
      +

      reduction function mapping two floats to float

      +
      +
    • +
    + + +

    Returns:

    +
      +
    • + Callable[[Storage, Shape, Strides, Storage, Shape, Strides, int], None] + – +
      +

      Tensor reduce function.

      +
      +
    • +

    Todo

    -

    Finally implement the forward version of the +

    Next implement the forward version of the tensor_functions.py file.

    • Mul
    • @@ -1707,13 +1860,55 @@

    • Permute
    +
    +

    Todo

    +

    Finally add functions in minitorch/tensor.py for each of the following, and pass tests +marked as task2_3. You need to implement many of the same functions +from minitorch/scalar.py.

    +

    Properties: +- shape +- size +- dims

    +

    Operators (you will likely find _ensure_tensor useful here since the user +may pass in standard python values):

    +
      +
    • add
    • +
    • sub
    • +
    • mul
    • +
    • lt
    • +
    • eq
    • +
    • gt
    • +
    • neg
    • +
    • radd
    • +
    • rmul
    • +
    • all
    • +
    • is_close
    • +
    • sigmoid
    • +
    • relu
    • +
    • log
    • +
    • exp
    • +
    +

    Should take an optional dim argument:

    +
      +
    • sum
    • +
    • +

      mean

      +
    • +
    • +

      permute

      +
    • +
    • view
    • +
    +

    Should set .grad to None +- zero_grad_

    +

    Tasks 2.4: Gradients and Autograd

    Similar to minitorch.Scalar, minitorch.Tensor is a Variable that supports autodifferentiation. In this task, you will implement backward functions for tensor operations.

    Todo

    -

    Complete the background functions in minitorch/tensor_functions.py, and pass +

    Implement the background functions in minitorch/tensor_functions.py, and pass tests marked as task2_4.

    Task 2.5: Training

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