code
stringlengths
66
870k
docstring
stringlengths
19
26.7k
func_name
stringlengths
1
138
language
stringclasses
1 value
repo
stringlengths
7
68
path
stringlengths
5
324
url
stringlengths
46
389
license
stringclasses
7 values
def convert_unet(pipe, args, model_name=None): """ Converts the UNet component of Stable Diffusion """ if args.unet_support_controlnet: unet_name = "control-unet" else: unet_name = model_name or "unet" out_path = _get_out_path(args, unet_name) # Check if Unet was previously exp...
Converts the UNet component of Stable Diffusion
convert_unet
python
apple/ml-stable-diffusion
python_coreml_stable_diffusion/torch2coreml.py
https://github.com/apple/ml-stable-diffusion/blob/master/python_coreml_stable_diffusion/torch2coreml.py
MIT
def convert_mmdit(args): """ Converts the MMDiT component of Stable Diffusion 3 """ out_path = _get_out_path(args, "mmdit") if os.path.exists(out_path): logger.info( f"`mmdit` already exists at {out_path}, skipping conversion." ) return # Convert the MMDiT mo...
Converts the MMDiT component of Stable Diffusion 3
convert_mmdit
python
apple/ml-stable-diffusion
python_coreml_stable_diffusion/torch2coreml.py
https://github.com/apple/ml-stable-diffusion/blob/master/python_coreml_stable_diffusion/torch2coreml.py
MIT
def convert_safety_checker(pipe, args): """ Converts the Safety Checker component of Stable Diffusion """ if pipe.safety_checker is None: logger.warning( f"diffusers pipeline for {args.model_version} does not have a `safety_checker` module! " \ "`--convert-safety-checker` wil...
Converts the Safety Checker component of Stable Diffusion
convert_safety_checker
python
apple/ml-stable-diffusion
python_coreml_stable_diffusion/torch2coreml.py
https://github.com/apple/ml-stable-diffusion/blob/master/python_coreml_stable_diffusion/torch2coreml.py
MIT
def convert_controlnet(pipe, args): """ Converts each ControlNet for Stable Diffusion """ if not hasattr(pipe, "unet"): raise RuntimeError( "convert_unet() deletes pipe.unet to save RAM. " "Please use convert_vae_encoder() before convert_unet()") if not hasattr(pipe, "te...
Converts each ControlNet for Stable Diffusion
convert_controlnet
python
apple/ml-stable-diffusion
python_coreml_stable_diffusion/torch2coreml.py
https://github.com/apple/ml-stable-diffusion/blob/master/python_coreml_stable_diffusion/torch2coreml.py
MIT
def linear_to_conv2d_map(state_dict, prefix, local_metadata, strict, missing_keys, unexpected_keys, error_msgs): """ Unsqueeze twice to map nn.Linear weights to nn.Conv2d weights """ for k in state_dict: if 'weight' in k and len(state_dict[k].shape) == 2: state_d...
Unsqueeze twice to map nn.Linear weights to nn.Conv2d weights
linear_to_conv2d_map
python
apple/ml-stable-diffusion
python_coreml_stable_diffusion/unet.py
https://github.com/apple/ml-stable-diffusion/blob/master/python_coreml_stable_diffusion/unet.py
MIT
def test_torch_to_coreml_conversion(self): """ Tests: - PyTorch to CoreML conversion via coremltools """ with self.subTest(model="vae_decoder"): logger.info("Converting vae_decoder") torch2coreml.convert_vae_decoder(self.pytorch_pipe, self.cli_args) lo...
Tests: - PyTorch to CoreML conversion via coremltools
test_torch_to_coreml_conversion
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def test_end_to_end_image_generation_speed(self): """ Tests: - Speed of CoreML runtime across several compute units - Integration with `diffusers.pipelines.stable_diffusion.pipeline_stable_diffusion.py` """ latency = { compute_unit: self._coreml_text_to_im...
Tests: - Speed of CoreML runtime across several compute units - Integration with `diffusers.pipelines.stable_diffusion.pipeline_stable_diffusion.py`
test_end_to_end_image_generation_speed
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def test_image_to_prompt_clip_score(self): """ Tests: Affinity of the generated image with the original prompt via CLIP score """ logger.warning( "This test will download the CLIP ViT-B/16 model (approximately 600 MB) from Hugging Face" ) from transformers im...
Tests: Affinity of the generated image with the original prompt via CLIP score
test_image_to_prompt_clip_score
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def test_swift_cli_image_generation(self): """ Tests: - The bridge between Python and Swift CLI - The signal parity of Swift CLI generated image with that of Python CLI """ # coremltools to Core ML compute unit mapping compute_unit_map = { "ALL": "all", ...
Tests: - The bridge between Python and Swift CLI - The signal parity of Swift CLI generated image with that of Python CLI
test_swift_cli_image_generation
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def _init_coreml_pipe(self, compute_unit): """ Initializes CoreML pipe for the requested compute_unit """ assert compute_unit in ct.ComputeUnit._member_names_, f"Not a valid coremltools.ComputeUnit: {compute_unit}" if self.active_compute_unit == compute_unit: logger.info( ...
Initializes CoreML pipe for the requested compute_unit
_init_coreml_pipe
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def _coreml_text_to_image_with_compute_unit(self, compute_unit): """ Benchmark end-to-end text-to-image generation with the requested compute_unit """ self._init_coreml_pipe(compute_unit) # Warm up (not necessary in all settings but improves consistency for benchmarking) logger....
Benchmark end-to-end text-to-image generation with the requested compute_unit
_coreml_text_to_image_with_compute_unit
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def test_coreml_text_to_image_speed(): """ Execute Core ML based image generation """ _reset_seed() image = self.coreml_pipe(TEST_PROMPT)["images"][0] out_path = pipeline.get_image_path(self.cli_args, prompt=TEST_PROMPT,...
Execute Core ML based image generation
test_coreml_text_to_image_speed
python
apple/ml-stable-diffusion
tests/test_stable_diffusion.py
https://github.com/apple/ml-stable-diffusion/blob/master/tests/test_stable_diffusion.py
MIT
def classify(self, input): """return the index of the cluster closest to the input""" return min(range(self.k), key=lambda i: squared_distance(input, self.means[i]))
return the index of the cluster closest to the input
classify
python
joelgrus/data-science-from-scratch
first-edition/code/clustering.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/clustering.py
MIT
def squared_clustering_errors(inputs, k): """finds the total squared error from k-means clustering the inputs""" clusterer = KMeans(k) clusterer.train(inputs) means = clusterer.means assignments = map(clusterer.classify, inputs) return sum(squared_distance(input,means[cluster]) ...
finds the total squared error from k-means clustering the inputs
squared_clustering_errors
python
joelgrus/data-science-from-scratch
first-edition/code/clustering.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/clustering.py
MIT
def get_children(cluster): """returns the two children of this cluster if it's a merged cluster; raises an exception if this is a leaf cluster""" if is_leaf(cluster): raise TypeError("a leaf cluster has no children") else: return cluster[1]
returns the two children of this cluster if it's a merged cluster; raises an exception if this is a leaf cluster
get_children
python
joelgrus/data-science-from-scratch
first-edition/code/clustering.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/clustering.py
MIT
def get_values(cluster): """returns the value in this cluster (if it's a leaf cluster) or all the values in the leaf clusters below it (if it's not)""" if is_leaf(cluster): return cluster # is already a 1-tuple containing value else: return [value for child in get_childre...
returns the value in this cluster (if it's a leaf cluster) or all the values in the leaf clusters below it (if it's not)
get_values
python
joelgrus/data-science-from-scratch
first-edition/code/clustering.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/clustering.py
MIT
def cluster_distance(cluster1, cluster2, distance_agg=min): """finds the aggregate distance between elements of cluster1 and elements of cluster2""" return distance_agg([distance(input1, input2) for input1 in get_values(cluster1) for input2 in get_values(clust...
finds the aggregate distance between elements of cluster1 and elements of cluster2
cluster_distance
python
joelgrus/data-science-from-scratch
first-edition/code/clustering.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/clustering.py
MIT
def where(self, predicate=lambda row: True): """return only the rows that satisfy the supplied predicate""" where_table = Table(self.columns) where_table.rows = filter(predicate, self.rows) return where_table
return only the rows that satisfy the supplied predicate
where
python
joelgrus/data-science-from-scratch
first-edition/code/databases.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/databases.py
MIT
def partition_entropy(subsets): """find the entropy from this partition of data into subsets""" total_count = sum(len(subset) for subset in subsets) return sum( data_entropy(subset) * len(subset) / total_count for subset in subsets )
find the entropy from this partition of data into subsets
partition_entropy
python
joelgrus/data-science-from-scratch
first-edition/code/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/decision_trees.py
MIT
def group_by(items, key_fn): """returns a defaultdict(list), where each input item is in the list whose key is key_fn(item)""" groups = defaultdict(list) for item in items: key = key_fn(item) groups[key].append(item) return groups
returns a defaultdict(list), where each input item is in the list whose key is key_fn(item)
group_by
python
joelgrus/data-science-from-scratch
first-edition/code/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/decision_trees.py
MIT
def classify(tree, input): """classify the input using the given decision tree""" # if this is a leaf node, return its value if tree in [True, False]: return tree # otherwise find the correct subtree attribute, subtree_dict = tree subtree_key = input.get(attribute) # None ...
classify the input using the given decision tree
classify
python
joelgrus/data-science-from-scratch
first-edition/code/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/decision_trees.py
MIT
def is_video(td): """it's a video if it has exactly one pricelabel, and if the stripped text inside that pricelabel starts with 'Video'""" pricelabels = td('span', 'pricelabel') return (len(pricelabels) == 1 and pricelabels[0].text.strip().startswith("Video"))
it's a video if it has exactly one pricelabel, and if the stripped text inside that pricelabel starts with 'Video'
is_video
python
joelgrus/data-science-from-scratch
first-edition/code/getting_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/getting_data.py
MIT
def book_info(td): """given a BeautifulSoup <td> Tag representing a book, extract the book's details and return a dict""" title = td.find("div", "thumbheader").a.text by_author = td.find('div', 'AuthorName').text authors = [x.strip() for x in re.sub("^By ", "", by_author).split(",")] isbn_l...
given a BeautifulSoup <td> Tag representing a book, extract the book's details and return a dict
book_info
python
joelgrus/data-science-from-scratch
first-edition/code/getting_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/getting_data.py
MIT
def on_success(self, data): """what do we do when twitter sends us data? here data will be a Python object representing a tweet""" # only want to collect English-language tweets if data['lang'] == 'en': tweets.append(data) # stop when we've collected enough ...
what do we do when twitter sends us data? here data will be a Python object representing a tweet
on_success
python
joelgrus/data-science-from-scratch
first-edition/code/getting_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/getting_data.py
MIT
def safe(f): """define a new function that wraps f and return it""" def safe_f(*args, **kwargs): try: return f(*args, **kwargs) except: return float('inf') # this means "infinity" in Python return safe_f
define a new function that wraps f and return it
safe
python
joelgrus/data-science-from-scratch
first-edition/code/gradient_descent.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/gradient_descent.py
MIT
def minimize_batch(target_fn, gradient_fn, theta_0, tolerance=0.000001): """use gradient descent to find theta that minimizes target function""" step_sizes = [100, 10, 1, 0.1, 0.01, 0.001, 0.0001, 0.00001] theta = theta_0 # set theta to initial value target_fn = safe(...
use gradient descent to find theta that minimizes target function
minimize_batch
python
joelgrus/data-science-from-scratch
first-edition/code/gradient_descent.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/gradient_descent.py
MIT
def in_random_order(data): """generator that returns the elements of data in random order""" indexes = [i for i, _ in enumerate(data)] # create a list of indexes random.shuffle(indexes) # shuffle them for i in indexes: # return the data in that order ...
generator that returns the elements of data in random order
in_random_order
python
joelgrus/data-science-from-scratch
first-edition/code/gradient_descent.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/gradient_descent.py
MIT
def normal_approximation_to_binomial(n, p): """finds mu and sigma corresponding to a Binomial(n, p)""" mu = p * n sigma = math.sqrt(p * (1 - p) * n) return mu, sigma
finds mu and sigma corresponding to a Binomial(n, p)
normal_approximation_to_binomial
python
joelgrus/data-science-from-scratch
first-edition/code/hypothesis_and_inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/hypothesis_and_inference.py
MIT
def normal_two_sided_bounds(probability, mu=0, sigma=1): """returns the symmetric (about the mean) bounds that contain the specified probability""" tail_probability = (1 - probability) / 2 # upper bound should have tail_probability above it upper_bound = normal_lower_bound(tail_probability, mu, si...
returns the symmetric (about the mean) bounds that contain the specified probability
normal_two_sided_bounds
python
joelgrus/data-science-from-scratch
first-edition/code/hypothesis_and_inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/hypothesis_and_inference.py
MIT
def not_friends(user, other_user): """other_user is not a friend if he's not in user["friends"]; that is, if he's not_the_same as all the people in user["friends"]""" return all(not_the_same(friend, other_user) for friend in user["friends"])
other_user is not a friend if he's not in user["friends"]; that is, if he's not_the_same as all the people in user["friends"]
not_friends
python
joelgrus/data-science-from-scratch
first-edition/code/introduction.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/introduction.py
MIT
def vector_mean(vectors): """compute the vector whose i-th element is the mean of the i-th elements of the input vectors""" n = len(vectors) return scalar_multiply(1/n, vector_sum(vectors))
compute the vector whose i-th element is the mean of the i-th elements of the input vectors
vector_mean
python
joelgrus/data-science-from-scratch
first-edition/code/linear_algebra.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/linear_algebra.py
MIT
def make_matrix(num_rows, num_cols, entry_fn): """returns a num_rows x num_cols matrix whose (i,j)-th entry is entry_fn(i, j)""" return [[entry_fn(i, j) for j in range(num_cols)] for i in range(num_rows)]
returns a num_rows x num_cols matrix whose (i,j)-th entry is entry_fn(i, j)
make_matrix
python
joelgrus/data-science-from-scratch
first-edition/code/linear_algebra.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/linear_algebra.py
MIT
def logistic_log_gradient_i(x_i, y_i, beta): """the gradient of the log likelihood corresponding to the i-th data point""" return [logistic_log_partial_ij(x_i, y_i, beta, j) for j, _ in enumerate(beta)]
the gradient of the log likelihood corresponding to the i-th data point
logistic_log_gradient_i
python
joelgrus/data-science-from-scratch
first-edition/code/logistic_regression.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/logistic_regression.py
MIT
def split_data(data, prob): """split data into fractions [prob, 1 - prob]""" results = [], [] for row in data: results[0 if random.random() < prob else 1].append(row) return results
split data into fractions [prob, 1 - prob]
split_data
python
joelgrus/data-science-from-scratch
first-edition/code/machine_learning.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/machine_learning.py
MIT
def word_count(documents): """count the words in the input documents using MapReduce""" # place to store grouped values collector = defaultdict(list) for document in documents: for word, count in wc_mapper(document): collector[word].append(count) return [output fo...
count the words in the input documents using MapReduce
word_count
python
joelgrus/data-science-from-scratch
first-edition/code/mapreduce.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/mapreduce.py
MIT
def map_reduce(inputs, mapper, reducer): """runs MapReduce on the inputs using mapper and reducer""" collector = defaultdict(list) for input in inputs: for key, value in mapper(input): collector[key].append(value) return [output for key, values in collector.iteritems() ...
runs MapReduce on the inputs using mapper and reducer
map_reduce
python
joelgrus/data-science-from-scratch
first-edition/code/mapreduce.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/mapreduce.py
MIT
def most_popular_word_reducer(user, words_and_counts): """given a sequence of (word, count) pairs, return the word with the highest total count""" word_counts = Counter() for word, count in words_and_counts: word_counts[word] += count word, count = word_counts.most_common(1)[0] ...
given a sequence of (word, count) pairs, return the word with the highest total count
most_popular_word_reducer
python
joelgrus/data-science-from-scratch
first-edition/code/mapreduce.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/mapreduce.py
MIT
def matrix_multiply_mapper(m, element): """m is the common dimension (columns of A, rows of B) element is a tuple (matrix_name, i, j, value)""" matrix, i, j, value = element if matrix == "A": for column in range(m): # A_ij is the jth entry in the sum for each C_i_column ...
m is the common dimension (columns of A, rows of B) element is a tuple (matrix_name, i, j, value)
matrix_multiply_mapper
python
joelgrus/data-science-from-scratch
first-edition/code/mapreduce.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/mapreduce.py
MIT
def squared_error_gradient(x_i, y_i, beta): """the gradient corresponding to the ith squared error term""" return [-2 * x_ij * error(x_i, y_i, beta) for x_ij in x_i]
the gradient corresponding to the ith squared error term
squared_error_gradient
python
joelgrus/data-science-from-scratch
first-edition/code/multiple_regression.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/multiple_regression.py
MIT
def bootstrap_statistic(data, stats_fn, num_samples): """evaluates stats_fn on num_samples bootstrap samples from data""" return [stats_fn(bootstrap_sample(data)) for _ in range(num_samples)]
evaluates stats_fn on num_samples bootstrap samples from data
bootstrap_statistic
python
joelgrus/data-science-from-scratch
first-edition/code/multiple_regression.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/multiple_regression.py
MIT
def estimate_beta_ridge(x, y, alpha): """use gradient descent to fit a ridge regression with penalty alpha""" beta_initial = [random.random() for x_i in x[0]] return minimize_stochastic(partial(squared_error_ridge, alpha=alpha), partial(squared_error_ridge_gradient, ...
use gradient descent to fit a ridge regression with penalty alpha
estimate_beta_ridge
python
joelgrus/data-science-from-scratch
first-edition/code/multiple_regression.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/multiple_regression.py
MIT
def count_words(training_set): """training set consists of pairs (message, is_spam)""" counts = defaultdict(lambda: [0, 0]) for message, is_spam in training_set: for word in tokenize(message): counts[word][0 if is_spam else 1] += 1 return counts
training set consists of pairs (message, is_spam)
count_words
python
joelgrus/data-science-from-scratch
first-edition/code/naive_bayes.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/naive_bayes.py
MIT
def word_probabilities(counts, total_spams, total_non_spams, k=0.5): """turn the word_counts into a list of triplets w, p(w | spam) and p(w | ~spam)""" return [(w, (spam + k) / (total_spams + 2 * k), (non_spam + k) / (total_non_spams + 2 * k)) for w, (spam, non_spam) ...
turn the word_counts into a list of triplets w, p(w | spam) and p(w | ~spam)
word_probabilities
python
joelgrus/data-science-from-scratch
first-edition/code/naive_bayes.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/naive_bayes.py
MIT
def p_topic_given_document(topic, d, alpha=0.1): """the fraction of words in document _d_ that are assigned to _topic_ (plus some smoothing)""" return ((document_topic_counts[d][topic] + alpha) / (document_lengths[d] + K * alpha))
the fraction of words in document _d_ that are assigned to _topic_ (plus some smoothing)
p_topic_given_document
python
joelgrus/data-science-from-scratch
first-edition/code/natural_language_processing.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/natural_language_processing.py
MIT
def p_word_given_topic(word, topic, beta=0.1): """the fraction of words assigned to _topic_ that equal _word_ (plus some smoothing)""" return ((topic_word_counts[topic][word] + beta) / (topic_counts[topic] + W * beta))
the fraction of words assigned to _topic_ that equal _word_ (plus some smoothing)
p_word_given_topic
python
joelgrus/data-science-from-scratch
first-edition/code/natural_language_processing.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/natural_language_processing.py
MIT
def majority_vote(labels): """assumes that labels are ordered from nearest to farthest""" vote_counts = Counter(labels) winner, winner_count = vote_counts.most_common(1)[0] num_winners = len([count for count in vote_counts.values() if count == winner_count]...
assumes that labels are ordered from nearest to farthest
majority_vote
python
joelgrus/data-science-from-scratch
first-edition/code/nearest_neighbors.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/nearest_neighbors.py
MIT
def knn_classify(k, labeled_points, new_point): """each labeled point should be a pair (point, label)""" # order the labeled points from nearest to farthest by_distance = sorted(labeled_points, key=lambda (point, _): distance(point, new_point)) # find the labels for the k ...
each labeled point should be a pair (point, label)
knn_classify
python
joelgrus/data-science-from-scratch
first-edition/code/nearest_neighbors.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/nearest_neighbors.py
MIT
def farness(user): """the sum of the lengths of the shortest paths to each other user""" return sum(len(paths[0]) for paths in user["shortest_paths"].values())
the sum of the lengths of the shortest paths to each other user
farness
python
joelgrus/data-science-from-scratch
first-edition/code/network_analysis.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/network_analysis.py
MIT
def feed_forward(neural_network, input_vector): """takes in a neural network (represented as a list of lists of lists of weights) and returns the output from forward-propagating the input""" outputs = [] for layer in neural_network: input_with_bias = input_vector + [1] # add a bia...
takes in a neural network (represented as a list of lists of lists of weights) and returns the output from forward-propagating the input
feed_forward
python
joelgrus/data-science-from-scratch
first-edition/code/neural_networks.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/neural_networks.py
MIT
def patch(x, y, hatch, color): """return a matplotlib 'patch' object with the specified location, crosshatch pattern, and color""" return matplotlib.patches.Rectangle((x - 0.5, y - 0.5), 1, 1, hatch=hatch, fill=False, color=color)
return a matplotlib 'patch' object with the specified location, crosshatch pattern, and color
patch
python
joelgrus/data-science-from-scratch
first-edition/code/neural_networks.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/neural_networks.py
MIT
def uniform_cdf(x): "returns the probability that a uniform random variable is less than x" if x < 0: return 0 # uniform random is never less than 0 elif x < 1: return x # e.g. P(X < 0.4) = 0.4 else: return 1 # uniform random is always less than 1
returns the probability that a uniform random variable is less than x
uniform_cdf
python
joelgrus/data-science-from-scratch
first-edition/code/probability.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/probability.py
MIT
def inverse_normal_cdf(p, mu=0, sigma=1, tolerance=0.00001): """find approximate inverse using binary search""" # if not standard, compute standard and rescale if mu != 0 or sigma != 1: return mu + sigma * inverse_normal_cdf(p, tolerance=tolerance) low_z, low_p = -10.0, 0 # norm...
find approximate inverse using binary search
inverse_normal_cdf
python
joelgrus/data-science-from-scratch
first-edition/code/probability.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/probability.py
MIT
def make_user_interest_vector(user_interests): """given a list of interests, produce a vector whose i-th element is 1 if unique_interests[i] is in the list, 0 otherwise""" return [1 if interest in user_interests else 0 for interest in unique_interests]
given a list of interests, produce a vector whose i-th element is 1 if unique_interests[i] is in the list, 0 otherwise
make_user_interest_vector
python
joelgrus/data-science-from-scratch
first-edition/code/recommender_systems.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/recommender_systems.py
MIT
def least_squares_fit(x,y): """given training values for x and y, find the least-squares values of alpha and beta""" beta = correlation(x, y) * standard_deviation(y) / standard_deviation(x) alpha = mean(y) - beta * mean(x) return alpha, beta
given training values for x and y, find the least-squares values of alpha and beta
least_squares_fit
python
joelgrus/data-science-from-scratch
first-edition/code/simple_linear_regression.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/simple_linear_regression.py
MIT
def median(v): """finds the 'middle-most' value of v""" n = len(v) sorted_v = sorted(v) midpoint = n // 2 if n % 2 == 1: # if odd, return the middle value return sorted_v[midpoint] else: # if even, return the average of the middle values lo = midpoint - 1 ...
finds the 'middle-most' value of v
median
python
joelgrus/data-science-from-scratch
first-edition/code/statistics.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/statistics.py
MIT
def mode(x): """returns a list, might be more than one mode""" counts = Counter(x) max_count = max(counts.values()) return [x_i for x_i, count in counts.iteritems() if count == max_count]
returns a list, might be more than one mode
mode
python
joelgrus/data-science-from-scratch
first-edition/code/statistics.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/statistics.py
MIT
def de_mean(x): """translate x by subtracting its mean (so the result has mean 0)""" x_bar = mean(x) return [x_i - x_bar for x_i in x]
translate x by subtracting its mean (so the result has mean 0)
de_mean
python
joelgrus/data-science-from-scratch
first-edition/code/statistics.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/statistics.py
MIT
def variance(x): """assumes x has at least two elements""" n = len(x) deviations = de_mean(x) return sum_of_squares(deviations) / (n - 1)
assumes x has at least two elements
variance
python
joelgrus/data-science-from-scratch
first-edition/code/statistics.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/statistics.py
MIT
def correlation_matrix(data): """returns the num_columns x num_columns matrix whose (i, j)th entry is the correlation between columns i and j of data""" _, num_columns = shape(data) def matrix_entry(i, j): return correlation(get_column(data, i), get_column(data, j)) return make_matrix(num...
returns the num_columns x num_columns matrix whose (i, j)th entry is the correlation between columns i and j of data
correlation_matrix
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def parse_row(input_row, parsers): """given a list of parsers (some of which may be None) apply the appropriate one to each element of the input_row""" return [parser(value) if parser is not None else value for value, parser in zip(input_row, parsers)]
given a list of parsers (some of which may be None) apply the appropriate one to each element of the input_row
parse_row
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def parse_rows_with(reader, parsers): """wrap a reader to apply the parsers to each of its rows""" for row in reader: yield parse_row(row, parsers)
wrap a reader to apply the parsers to each of its rows
parse_rows_with
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def try_or_none(f): """wraps f to return None if f raises an exception assumes f takes only one input""" def f_or_none(x): try: return f(x) except: return None return f_or_none
wraps f to return None if f raises an exception assumes f takes only one input
try_or_none
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def try_parse_field(field_name, value, parser_dict): """try to parse value using the appropriate function from parser_dict""" parser = parser_dict.get(field_name) # None if no such entry if parser is not None: return try_or_none(parser)(value) else: return value
try to parse value using the appropriate function from parser_dict
try_parse_field
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def rescale(data_matrix): """rescales the input data so that each column has mean 0 and standard deviation 1 ignores columns with no deviation""" means, stdevs = scale(data_matrix) def rescaled(i, j): if stdevs[j] > 0: return (data_matrix[i][j] - means[j]) / stdevs[j] e...
rescales the input data so that each column has mean 0 and standard deviation 1 ignores columns with no deviation
rescale
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def de_mean_matrix(A): """returns the result of subtracting from every value in A the mean value of its column. the resulting matrix has mean 0 in every column""" nr, nc = shape(A) column_means, _ = scale(A) return make_matrix(nr, nc, lambda i, j: A[i][j] - column_means[j])
returns the result of subtracting from every value in A the mean value of its column. the resulting matrix has mean 0 in every column
de_mean_matrix
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def directional_variance_gradient_i(x_i, w): """the contribution of row x_i to the gradient of the direction-w variance""" projection_length = dot(x_i, direction(w)) return [2 * projection_length * x_ij for x_ij in x_i]
the contribution of row x_i to the gradient of the direction-w variance
directional_variance_gradient_i
python
joelgrus/data-science-from-scratch
first-edition/code/working_with_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code/working_with_data.py
MIT
def group_by(items, key_fn): """returns a defaultdict(list), where each input item is in the list whose key is key_fn(item)""" groups = defaultdict(list) for item in items: key = key_fn(item) groups[key].append(item) return groups
returns a defaultdict(list), where each input item is in the list whose key is key_fn(item)
group_by
python
joelgrus/data-science-from-scratch
first-edition/code-python3/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code-python3/decision_trees.py
MIT
def normal_two_sided_bounds(probability, mu=0, sigma=1): """returns the symmetric (about the mean) bounds that contain the specified probability""" tail_probability = (1 - probability) / 2 # upper bound should have tail_probability above it upper_bound = normal_lower_bound(tail_probability, mu, sig...
returns the symmetric (about the mean) bounds that contain the specified probability
normal_two_sided_bounds
python
joelgrus/data-science-from-scratch
first-edition/code-python3/hypothesis_and_inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code-python3/hypothesis_and_inference.py
MIT
def make_matrix(num_rows, num_cols, entry_fn): """returns a num_rows x num_cols matrix whose (i,j)-th entry is entry_fn(i, j)""" return [[entry_fn(i, j) for j in range(num_cols)] for i in range(num_rows)]
returns a num_rows x num_cols matrix whose (i,j)-th entry is entry_fn(i, j)
make_matrix
python
joelgrus/data-science-from-scratch
first-edition/code-python3/linear_algebra.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code-python3/linear_algebra.py
MIT
def logistic_log_gradient_i(x_i, y_i, beta): """the gradient of the log likelihood corresponding to the i-th data point""" return [logistic_log_partial_ij(x_i, y_i, beta, j) for j, _ in enumerate(beta)]
the gradient of the log likelihood corresponding to the i-th data point
logistic_log_gradient_i
python
joelgrus/data-science-from-scratch
first-edition/code-python3/logistic_regression.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code-python3/logistic_regression.py
MIT
def most_popular_word_reducer(user, words_and_counts): """given a sequence of (word, count) pairs, return the word with the highest total count""" word_counts = Counter() for word, count in words_and_counts: word_counts[word] += count word, count = word_counts.most_common(1)[0] yield ...
given a sequence of (word, count) pairs, return the word with the highest total count
most_popular_word_reducer
python
joelgrus/data-science-from-scratch
first-edition/code-python3/mapreduce.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code-python3/mapreduce.py
MIT
def word_probabilities(counts, total_spams, total_non_spams, k=0.5): """turn the word_counts into a list of triplets w, p(w | spam) and p(w | ~spam)""" return [(w, (spam + k) / (total_spams + 2 * k), (non_spam + k) / (total_non_spams + 2 * k)) for w, (spam, non_spam) i...
turn the word_counts into a list of triplets w, p(w | spam) and p(w | ~spam)
word_probabilities
python
joelgrus/data-science-from-scratch
first-edition/code-python3/naive_bayes.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/first-edition/code-python3/naive_bayes.py
MIT
def cluster_distance(cluster1: Cluster, cluster2: Cluster, distance_agg: Callable = min) -> float: """ compute all the pairwise distances between cluster1 and cluster2 and apply the aggregation function _distance_agg_ to the resulting list """ return distanc...
compute all the pairwise distances between cluster1 and cluster2 and apply the aggregation function _distance_agg_ to the resulting list
cluster_distance
python
joelgrus/data-science-from-scratch
scratch/clustering.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/clustering.py
MIT
def doubler_correct(f): """works no matter what kind of inputs f expects""" def g(*args, **kwargs): """whatever arguments g is supplied, pass them through to f""" return 2 * f(*args, **kwargs) return g
works no matter what kind of inputs f expects
doubler_correct
python
joelgrus/data-science-from-scratch
scratch/crash_course_in_python.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/crash_course_in_python.py
MIT
def where(self, predicate: WhereClause = lambda row: True) -> 'Table': """Return only the rows that satisfy the supplied predicate""" where_table = Table(self.columns, self.types) for row in self.rows: if predicate(row): values = [row[column] for column in self.column...
Return only the rows that satisfy the supplied predicate
where
python
joelgrus/data-science-from-scratch
scratch/databases.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/databases.py
MIT
def entropy(class_probabilities: List[float]) -> float: """Given a list of class probabilities, compute the entropy""" return sum(-p * math.log(p, 2) for p in class_probabilities if p > 0) # ignore zero probabilities
Given a list of class probabilities, compute the entropy
entropy
python
joelgrus/data-science-from-scratch
scratch/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/decision_trees.py
MIT
def partition_entropy(subsets: List[List[Any]]) -> float: """Returns the entropy from this partition of data into subsets""" total_count = sum(len(subset) for subset in subsets) return sum(data_entropy(subset) * len(subset) / total_count for subset in subsets)
Returns the entropy from this partition of data into subsets
partition_entropy
python
joelgrus/data-science-from-scratch
scratch/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/decision_trees.py
MIT
def partition_by(inputs: List[T], attribute: str) -> Dict[Any, List[T]]: """Partition the inputs into lists based on the specified attribute.""" partitions: Dict[Any, List[T]] = defaultdict(list) for input in inputs: key = getattr(input, attribute) # value of the specified attribute partiti...
Partition the inputs into lists based on the specified attribute.
partition_by
python
joelgrus/data-science-from-scratch
scratch/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/decision_trees.py
MIT
def partition_entropy_by(inputs: List[Any], attribute: str, label_attribute: str) -> float: """Compute the entropy corresponding to the given partition""" # partitions consist of our inputs partitions = partition_by(inputs, attribute) # but partition_en...
Compute the entropy corresponding to the given partition
partition_entropy_by
python
joelgrus/data-science-from-scratch
scratch/decision_trees.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/decision_trees.py
MIT
def tensor_sum(tensor: Tensor) -> float: """Sums up all the values in the tensor""" if is_1d(tensor): return sum(tensor) # just a list of floats, use Python sum else: return sum(tensor_sum(tensor_i) # Call tensor_sum on each row for tensor_i in tensor) # and sum up...
Sums up all the values in the tensor
tensor_sum
python
joelgrus/data-science-from-scratch
scratch/deep_learning.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/deep_learning.py
MIT
def tensor_combine(f: Callable[[float, float], float], t1: Tensor, t2: Tensor) -> Tensor: """Applies f to corresponding elements of t1 and t2""" if is_1d(t1): return [f(x, y) for x, y in zip(t1, t2)] else: return [tensor_combine(f, t1_i, t2_i) ...
Applies f to corresponding elements of t1 and t2
tensor_combine
python
joelgrus/data-science-from-scratch
scratch/deep_learning.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/deep_learning.py
MIT
def __init__(self, input_dim: int, output_dim: int, init: str = 'xavier') -> None: """ A layer of output_dim neurons, each with input_dim weights (and a bias). """ self.input_dim = input_dim self.output_dim = output_dim # self.w[o] is the weights for the o-th neu...
A layer of output_dim neurons, each with input_dim weights (and a bias).
__init__
python
joelgrus/data-science-from-scratch
scratch/deep_learning.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/deep_learning.py
MIT
def forward(self, input): """Just forward the input through the layers in order.""" for layer in self.layers: input = layer.forward(input) return input
Just forward the input through the layers in order.
forward
python
joelgrus/data-science-from-scratch
scratch/deep_learning.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/deep_learning.py
MIT
def backward(self, gradient): """Just backpropagate the gradient through the layers in reverse.""" for layer in reversed(self.layers): gradient = layer.backward(gradient) return gradient
Just backpropagate the gradient through the layers in reverse.
backward
python
joelgrus/data-science-from-scratch
scratch/deep_learning.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/deep_learning.py
MIT
def paragraph_mentions(text: str, keyword: str) -> bool: """ Returns True if a <p> inside the text mentions {keyword} """ soup = BeautifulSoup(text, 'html5lib') paragraphs = [p.get_text() for p in soup('p')] return any(keyword.lower() in paragraph.lower() for paragraph in paragra...
Returns True if a <p> inside the text mentions {keyword}
paragraph_mentions
python
joelgrus/data-science-from-scratch
scratch/getting_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/getting_data.py
MIT
def on_success(self, data): """ What do we do when twitter sends us data? Here data will be a Python dict representing a tweet """ # We only want to collect English-language tweets if data.get('lang') == 'en': tweets.append(data) ...
What do we do when twitter sends us data? Here data will be a Python dict representing a tweet
on_success
python
joelgrus/data-science-from-scratch
scratch/getting_data.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/getting_data.py
MIT
def gradient_step(v: Vector, gradient: Vector, step_size: float) -> Vector: """Moves `step_size` in the `gradient` direction from `v`""" assert len(v) == len(gradient) step = scalar_multiply(step_size, gradient) return add(v, step)
Moves `step_size` in the `gradient` direction from `v`
gradient_step
python
joelgrus/data-science-from-scratch
scratch/gradient_descent.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/gradient_descent.py
MIT
def minibatches(dataset: List[T], batch_size: int, shuffle: bool = True) -> Iterator[List[T]]: """Generates `batch_size`-sized minibatches from the dataset""" # Start indexes 0, batch_size, 2 * batch_size, ... batch_starts = [start for start in range(0, len(dataset), batch_si...
Generates `batch_size`-sized minibatches from the dataset
minibatches
python
joelgrus/data-science-from-scratch
scratch/gradient_descent.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/gradient_descent.py
MIT
def partial_difference_quotient(f: Callable[[Vector], float], v: Vector, i: int, h: float) -> float: """Returns the i-th partial difference quotient of f at v""" w = [v_j + (h if j == i else 0) ...
Returns the i-th partial difference quotient of f at v
partial_difference_quotient
python
joelgrus/data-science-from-scratch
scratch/gradient_descent.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/gradient_descent.py
MIT
def normal_approximation_to_binomial(n: int, p: float) -> Tuple[float, float]: """Returns mu and sigma corresponding to a Binomial(n, p)""" mu = p * n sigma = math.sqrt(p * (1 - p) * n) return mu, sigma
Returns mu and sigma corresponding to a Binomial(n, p)
normal_approximation_to_binomial
python
joelgrus/data-science-from-scratch
scratch/inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/inference.py
MIT
def normal_probability_above(lo: float, mu: float = 0, sigma: float = 1) -> float: """The probability that a N(mu, sigma) is greater than lo.""" return 1 - normal_cdf(lo, mu, sigma)
The probability that a N(mu, sigma) is greater than lo.
normal_probability_above
python
joelgrus/data-science-from-scratch
scratch/inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/inference.py
MIT
def normal_probability_between(lo: float, hi: float, mu: float = 0, sigma: float = 1) -> float: """The probability that a N(mu, sigma) is between lo and hi.""" return normal_cdf(hi, mu, sigma) - normal_cdf(lo, mu, sigma...
The probability that a N(mu, sigma) is between lo and hi.
normal_probability_between
python
joelgrus/data-science-from-scratch
scratch/inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/inference.py
MIT
def normal_probability_outside(lo: float, hi: float, mu: float = 0, sigma: float = 1) -> float: """The probability that a N(mu, sigma) is not between lo and hi.""" return 1 - normal_probability_between(lo, hi, mu, sigma...
The probability that a N(mu, sigma) is not between lo and hi.
normal_probability_outside
python
joelgrus/data-science-from-scratch
scratch/inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/inference.py
MIT
def normal_two_sided_bounds(probability: float, mu: float = 0, sigma: float = 1) -> Tuple[float, float]: """ Returns the symmetric (about the mean) bounds that contain the specified probability """ tail_probability = (1 - probability) / 2 ...
Returns the symmetric (about the mean) bounds that contain the specified probability
normal_two_sided_bounds
python
joelgrus/data-science-from-scratch
scratch/inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/inference.py
MIT
def two_sided_p_value(x: float, mu: float = 0, sigma: float = 1) -> float: """ How likely are we to see a value at least as extreme as x (in either direction) if our values are from a N(mu, sigma)? """ if x >= mu: # x is greater than the mean, so the tail is everything greater than x ...
How likely are we to see a value at least as extreme as x (in either direction) if our values are from a N(mu, sigma)?
two_sided_p_value
python
joelgrus/data-science-from-scratch
scratch/inference.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/inference.py
MIT
def foaf_ids_bad(user): """foaf is short for "friend of a friend" """ return [foaf_id for friend_id in friendships[user["id"]] for foaf_id in friendships[friend_id]]
foaf is short for "friend of a friend"
foaf_ids_bad
python
joelgrus/data-science-from-scratch
scratch/introduction.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/introduction.py
MIT
def data_scientists_who_like(target_interest): """Find the ids of all users who like the target interest.""" return [user_id for user_id, user_interest in interests if user_interest == target_interest]
Find the ids of all users who like the target interest.
data_scientists_who_like
python
joelgrus/data-science-from-scratch
scratch/introduction.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/introduction.py
MIT
def majority_vote(labels: List[str]) -> str: """Assumes that labels are ordered from nearest to farthest.""" vote_counts = Counter(labels) winner, winner_count = vote_counts.most_common(1)[0] num_winners = len([count for count in vote_counts.values() if coun...
Assumes that labels are ordered from nearest to farthest.
majority_vote
python
joelgrus/data-science-from-scratch
scratch/k_nearest_neighbors.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/k_nearest_neighbors.py
MIT
def shape(A: Matrix) -> Tuple[int, int]: """Returns (# of rows of A, # of columns of A)""" num_rows = len(A) num_cols = len(A[0]) if A else 0 # number of elements in first row return num_rows, num_cols
Returns (# of rows of A, # of columns of A)
shape
python
joelgrus/data-science-from-scratch
scratch/linear_algebra.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/linear_algebra.py
MIT
def get_column(A: Matrix, j: int) -> Vector: """Returns the j-th column of A (as a Vector)""" return [A_i[j] # jth element of row A_i for A_i in A] # for each row A_i
Returns the j-th column of A (as a Vector)
get_column
python
joelgrus/data-science-from-scratch
scratch/linear_algebra.py
https://github.com/joelgrus/data-science-from-scratch/blob/master/scratch/linear_algebra.py
MIT