From ecc5837a163e05cdb0eec795ccef2f5e46a00140 Mon Sep 17 00:00:00 2001 From: SamueleBolotta Date: Wed, 7 Aug 2024 22:19:46 +0200 Subject: [PATCH 1/2] explanation t2 --- .../W1D2_ComparingTasks/W1D2_Tutorial2.ipynb | 112 ++++++------------ 1 file changed, 34 insertions(+), 78 deletions(-) diff --git a/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb b/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb index bc3a822d1..7a8f651b3 100644 --- a/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb +++ b/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb @@ -57,7 +57,6 @@ "id": "aceddeef-ea13-4224-8ca8-70563edbcf00", "metadata": { "cellView": "form", - "execution": {}, "tags": [ "remove-input" ] @@ -107,7 +106,6 @@ "id": "f3eeb07c-5de3-428e-a422-3a58f1124b43", "metadata": { "cellView": "form", - "execution": {}, "tags": [ "hide-input" ] @@ -139,7 +137,6 @@ "id": "b56685b9-3f17-4a55-acca-73dad5623992", "metadata": { "cellView": "form", - "execution": {}, "tags": [ "hide-input" ] @@ -182,7 +179,6 @@ "id": "cebc5798-a8dd-4985-b0ec-d5facf4ee700", "metadata": { "cellView": "form", - "execution": {}, "tags": [ "hide-input" ] @@ -204,7 +200,6 @@ "id": "386b49a0-9409-496a-8656-579ca3e4af5f", "metadata": { "cellView": "form", - "execution": {}, "tags": [ "hide-input" ] @@ -275,8 +270,7 @@ "execution_count": null, "id": "a47d3240-0a70-4e3b-af13-2c02528867fa", "metadata": { - "cellView": "form", - "execution": {} + "cellView": "form" }, "outputs": [], "source": [ @@ -333,8 +327,7 @@ "execution_count": null, "id": "2cb688bf-38c8-40e1-b40b-c4014cdaffba", "metadata": { - "cellView": "form", - "execution": {} + "cellView": "form" }, "outputs": [], "source": [ @@ -385,9 +378,7 @@ "cell_type": "code", "execution_count": null, "id": "d7c432bf-1de5-43f6-b887-087d17e9ec0f", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "class ResidualBlock(nn.Module):\n", @@ -437,9 +428,7 @@ "cell_type": "code", "execution_count": null, "id": "8cdc7833-aafd-4ee0-83fd-af9922dd5857", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "class Model(nn.Module):\n", @@ -476,9 +465,7 @@ "cell_type": "code", "execution_count": null, "id": "d72d9231-35a5-405e-b2f6-135e134e0ae9", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Define the transformations for the MNIST dataset\n", @@ -522,9 +509,7 @@ "cell_type": "code", "execution_count": null, "id": "ffd3ab89-ffd9-408c-8396-25b88e0930fb", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Initialize the model with specified input, output, and hidden dimensions\n", @@ -556,9 +541,7 @@ "cell_type": "code", "execution_count": null, "id": "b2f9122b-ce83-464f-b6c9-5af2feceac62", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# First try with untrained network, find the cosine similarities within a class and across classes\n", @@ -617,9 +600,7 @@ "cell_type": "code", "execution_count": null, "id": "0JcR1VwliL1f", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Dictionary to store normalized embeddings for each class\n", @@ -662,9 +643,7 @@ "cell_type": "code", "execution_count": null, "id": "9594e7b0-e401-4792-8798-7f23109bcf94", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# to_remove solution\n", @@ -705,8 +684,7 @@ "execution_count": null, "id": "26dd2a45-38ed-45ea-ad27-dfddfeb1613f", "metadata": { - "cellView": "form", - "execution": {} + "cellView": "form" }, "outputs": [], "source": [ @@ -730,9 +708,7 @@ "cell_type": "code", "execution_count": null, "id": "728682ab", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# to_remove explanation\n", @@ -753,8 +729,7 @@ "execution_count": null, "id": "d13d5761-e2ec-4ae1-adb4-edbe57b77ba9", "metadata": { - "cellView": "form", - "execution": {} + "cellView": "form" }, "outputs": [], "source": [ @@ -830,9 +805,7 @@ "cell_type": "code", "execution_count": null, "id": "1bfe95da-cd87-4fea-bb22-c1419450f9cb", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "def dcl_loss(pos_pairs, neg_pairs, indices_tuple, temperature=0.07):\n", @@ -997,9 +970,7 @@ "cell_type": "code", "execution_count": null, "id": "67db2b80", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# to_remove solution\n", @@ -1169,9 +1140,7 @@ "cell_type": "code", "execution_count": null, "id": "4d4f11e3-07e8-4104-9ae4-6a9fd6f037eb", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "def get_embeddings_labels(loader, model):\n", @@ -1226,8 +1195,7 @@ "execution_count": null, "id": "de3b7b2b-4351-4df8-8877-8f81b1d3878b", "metadata": { - "cellView": "form", - "execution": {} + "cellView": "form" }, "outputs": [], "source": [ @@ -1251,9 +1219,7 @@ "cell_type": "code", "execution_count": null, "id": "e88a8b40-faa7-4071-b070-0ca192e06d55", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Create DataLoader for the test dataset with a batch size of 50\n", @@ -1366,9 +1332,7 @@ "cell_type": "code", "execution_count": null, "id": "767e0f93-3f68-4db0-9edf-4891a3858f63", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Convert list of embeddings to a numpy array\n", @@ -1401,9 +1365,7 @@ "cell_type": "code", "execution_count": null, "id": "d4cdd26a-15c9-4c5f-82f7-4a65ca0bd5f7", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Convert list of embeddings to a numpy array\n", @@ -1436,9 +1398,7 @@ "cell_type": "code", "execution_count": null, "id": "2afe3c0d-7eed-4b2b-bdaa-bb258fc92d10", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Use t-SNE embeddings for visualization\n", @@ -1494,9 +1454,7 @@ "cell_type": "code", "execution_count": null, "id": "013D0NbXowjj", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# Calculate the cosine similarity matrix between all the test images and the train images\n", @@ -1534,9 +1492,7 @@ "cell_type": "code", "execution_count": null, "id": "1ae6f966", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "best_idxs = np.argmax(sims_all, axis=1)\n", @@ -1595,20 +1551,21 @@ "cell_type": "code", "execution_count": null, "id": "fa73993e-bbaa-4d32-a7c1-3903c784883f", - "metadata": { - "execution": {} - }, + "metadata": {}, "outputs": [], "source": [ "# to_remove explanation\n", "\"\"\"\n", - "Konkle and Alvarez (2022) speculate that perceptual judgements of visual similarity might be\n", - "driven by a process of contrastive learning not unlike that in AI. Different views of the same\n", - "scene, like the augmentations used in contrastive learning, can be generated by eye movements,\n", - "body movements and the passage of time. The hippocampus could hold these views in working memory\n", - "to implement a form of contrastive learning in neocortex. These ideas are closely related to\n", - "long-standing ideas about predictive coding in the brain. This remains an active and fascinating\n", - "area of research.\n", + "Our brain's ability to perform contrastive learning is linked to the function of the ventral visual stream. \n", + "This area of the brain processes visual information and has been shown to develop hierarchical features that \n", + "capture the structure of visual input through self-supervised learning mechanisms. Evidence suggests that anterior \n", + "regions of the ventral visual stream, particularly the anterior occipito-temporal cortex (aOTC), encode substantial \n", + "information about object categories without requiring explicit category-level supervision (Konkle and Alvarez, 2022). \n", + "Instead, these representations emerge through domain-general learning from natural image structures, where the brain \n", + "differentiates between individual views and categories based on the inherent statistical properties of visual input \n", + "(Livingstone et al., 2019; Arcaro and Livingstone, 2021). This capability supports the notion that the brain's visual \n", + "system can form complex object representations and categorization using self-supervised learning frameworks similar to \n", + "those in artificial neural networks.\n", "\"\"\"" ] }, @@ -1617,8 +1574,7 @@ "execution_count": null, "id": "af3f6a4f-2185-41db-a451-09ade489790a", "metadata": { - "cellView": "form", - "execution": {} + "cellView": "form" }, "outputs": [], "source": [ From bfa1e48b7bcbd3191666fb81fbc7be68da2eb2d0 Mon Sep 17 00:00:00 2001 From: GitHub Action Date: Wed, 7 Aug 2024 20:31:39 +0000 Subject: [PATCH 2/2] Process tutorial notebooks --- .../W1D2_ComparingTasks/W1D2_Tutorial2.ipynb | 113 +++++++++++++----- .../instructor/W1D2_Tutorial2.ipynb | 17 +-- .../W1D2_Tutorial2_Solution_0cd5a0dc.py | 12 ++ .../W1D2_Tutorial2_Solution_81063c05.py | 9 -- .../W1D2_Tutorial2_Solution_39154423_0.png | Bin 237150 -> 235368 bytes .../student/W1D2_Tutorial2.ipynb | 2 +- 6 files changed, 103 insertions(+), 50 deletions(-) create mode 100644 tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_0cd5a0dc.py delete mode 100644 tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_81063c05.py diff --git a/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb b/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb index 7a8f651b3..fc2922051 100644 --- a/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb +++ b/tutorials/W1D2_ComparingTasks/W1D2_Tutorial2.ipynb @@ -57,6 +57,7 @@ "id": "aceddeef-ea13-4224-8ca8-70563edbcf00", "metadata": { "cellView": "form", + "execution": {}, "tags": [ "remove-input" ] @@ -106,6 +107,7 @@ "id": "f3eeb07c-5de3-428e-a422-3a58f1124b43", "metadata": { "cellView": "form", + "execution": {}, "tags": [ "hide-input" ] @@ -137,6 +139,7 @@ "id": "b56685b9-3f17-4a55-acca-73dad5623992", "metadata": { "cellView": "form", + "execution": {}, "tags": [ "hide-input" ] @@ -179,6 +182,7 @@ "id": "cebc5798-a8dd-4985-b0ec-d5facf4ee700", "metadata": { "cellView": "form", + "execution": {}, "tags": [ "hide-input" ] @@ -200,6 +204,7 @@ "id": "386b49a0-9409-496a-8656-579ca3e4af5f", "metadata": { "cellView": "form", + "execution": {}, "tags": [ "hide-input" ] @@ -270,7 +275,8 @@ "execution_count": null, "id": "a47d3240-0a70-4e3b-af13-2c02528867fa", "metadata": { - "cellView": "form" + "cellView": "form", + "execution": {} }, "outputs": [], "source": [ @@ -327,7 +333,8 @@ "execution_count": null, "id": "2cb688bf-38c8-40e1-b40b-c4014cdaffba", "metadata": { - "cellView": "form" + "cellView": "form", + "execution": {} }, "outputs": [], "source": [ @@ -378,7 +385,9 @@ "cell_type": "code", "execution_count": null, "id": "d7c432bf-1de5-43f6-b887-087d17e9ec0f", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "class ResidualBlock(nn.Module):\n", @@ -428,7 +437,9 @@ "cell_type": "code", "execution_count": null, "id": "8cdc7833-aafd-4ee0-83fd-af9922dd5857", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "class Model(nn.Module):\n", @@ -465,7 +476,9 @@ "cell_type": "code", "execution_count": null, "id": "d72d9231-35a5-405e-b2f6-135e134e0ae9", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Define the transformations for the MNIST dataset\n", @@ -509,7 +522,9 @@ "cell_type": "code", "execution_count": null, "id": "ffd3ab89-ffd9-408c-8396-25b88e0930fb", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Initialize the model with specified input, output, and hidden dimensions\n", @@ -541,7 +556,9 @@ "cell_type": "code", "execution_count": null, "id": "b2f9122b-ce83-464f-b6c9-5af2feceac62", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# First try with untrained network, find the cosine similarities within a class and across classes\n", @@ -600,7 +617,9 @@ "cell_type": "code", "execution_count": null, "id": "0JcR1VwliL1f", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Dictionary to store normalized embeddings for each class\n", @@ -643,7 +662,9 @@ "cell_type": "code", "execution_count": null, "id": "9594e7b0-e401-4792-8798-7f23109bcf94", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# to_remove solution\n", @@ -684,7 +705,8 @@ "execution_count": null, "id": "26dd2a45-38ed-45ea-ad27-dfddfeb1613f", "metadata": { - "cellView": "form" + "cellView": "form", + "execution": {} }, "outputs": [], "source": [ @@ -708,7 +730,9 @@ "cell_type": "code", "execution_count": null, "id": "728682ab", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# to_remove explanation\n", @@ -729,7 +753,8 @@ "execution_count": null, "id": "d13d5761-e2ec-4ae1-adb4-edbe57b77ba9", "metadata": { - "cellView": "form" + "cellView": "form", + "execution": {} }, "outputs": [], "source": [ @@ -805,7 +830,9 @@ "cell_type": "code", "execution_count": null, "id": "1bfe95da-cd87-4fea-bb22-c1419450f9cb", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "def dcl_loss(pos_pairs, neg_pairs, indices_tuple, temperature=0.07):\n", @@ -970,7 +997,9 @@ "cell_type": "code", "execution_count": null, "id": "67db2b80", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# to_remove solution\n", @@ -1140,7 +1169,9 @@ "cell_type": "code", "execution_count": null, "id": "4d4f11e3-07e8-4104-9ae4-6a9fd6f037eb", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "def get_embeddings_labels(loader, model):\n", @@ -1195,7 +1226,8 @@ "execution_count": null, "id": "de3b7b2b-4351-4df8-8877-8f81b1d3878b", "metadata": { - "cellView": "form" + "cellView": "form", + "execution": {} }, "outputs": [], "source": [ @@ -1219,7 +1251,9 @@ "cell_type": "code", "execution_count": null, "id": "e88a8b40-faa7-4071-b070-0ca192e06d55", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Create DataLoader for the test dataset with a batch size of 50\n", @@ -1332,7 +1366,9 @@ "cell_type": "code", "execution_count": null, "id": "767e0f93-3f68-4db0-9edf-4891a3858f63", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Convert list of embeddings to a numpy array\n", @@ -1365,7 +1401,9 @@ "cell_type": "code", "execution_count": null, "id": "d4cdd26a-15c9-4c5f-82f7-4a65ca0bd5f7", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Convert list of embeddings to a numpy array\n", @@ -1398,7 +1436,9 @@ "cell_type": "code", "execution_count": null, "id": "2afe3c0d-7eed-4b2b-bdaa-bb258fc92d10", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Use t-SNE embeddings for visualization\n", @@ -1454,7 +1494,9 @@ "cell_type": "code", "execution_count": null, "id": "013D0NbXowjj", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# Calculate the cosine similarity matrix between all the test images and the train images\n", @@ -1492,7 +1534,9 @@ "cell_type": "code", "execution_count": null, "id": "1ae6f966", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "best_idxs = np.argmax(sims_all, axis=1)\n", @@ -1551,20 +1595,22 @@ "cell_type": "code", "execution_count": null, "id": "fa73993e-bbaa-4d32-a7c1-3903c784883f", - "metadata": {}, + "metadata": { + "execution": {} + }, "outputs": [], "source": [ "# to_remove explanation\n", "\"\"\"\n", - "Our brain's ability to perform contrastive learning is linked to the function of the ventral visual stream. \n", - "This area of the brain processes visual information and has been shown to develop hierarchical features that \n", - "capture the structure of visual input through self-supervised learning mechanisms. Evidence suggests that anterior \n", - "regions of the ventral visual stream, particularly the anterior occipito-temporal cortex (aOTC), encode substantial \n", - "information about object categories without requiring explicit category-level supervision (Konkle and Alvarez, 2022). \n", - "Instead, these representations emerge through domain-general learning from natural image structures, where the brain \n", - "differentiates between individual views and categories based on the inherent statistical properties of visual input \n", - "(Livingstone et al., 2019; Arcaro and Livingstone, 2021). This capability supports the notion that the brain's visual \n", - "system can form complex object representations and categorization using self-supervised learning frameworks similar to \n", + "Our brain's ability to perform contrastive learning is linked to the function of the ventral visual stream.\n", + "This area of the brain processes visual information and has been shown to develop hierarchical features that\n", + "capture the structure of visual input through self-supervised learning mechanisms. Evidence suggests that anterior\n", + "regions of the ventral visual stream, particularly the anterior occipito-temporal cortex (aOTC), encode substantial\n", + "information about object categories without requiring explicit category-level supervision (Konkle and Alvarez, 2022).\n", + "Instead, these representations emerge through domain-general learning from natural image structures, where the brain\n", + "differentiates between individual views and categories based on the inherent statistical properties of visual input\n", + "(Livingstone et al., 2019; Arcaro and Livingstone, 2021). This capability supports the notion that the brain's visual\n", + "system can form complex object representations and categorization using self-supervised learning frameworks similar to\n", "those in artificial neural networks.\n", "\"\"\"" ] @@ -1574,7 +1620,8 @@ "execution_count": null, "id": "af3f6a4f-2185-41db-a451-09ade489790a", "metadata": { - "cellView": "form" + "cellView": "form", + "execution": {} }, "outputs": [], "source": [ diff --git a/tutorials/W1D2_ComparingTasks/instructor/W1D2_Tutorial2.ipynb b/tutorials/W1D2_ComparingTasks/instructor/W1D2_Tutorial2.ipynb index 7e33d3e08..971f52ec2 100644 --- a/tutorials/W1D2_ComparingTasks/instructor/W1D2_Tutorial2.ipynb +++ b/tutorials/W1D2_ComparingTasks/instructor/W1D2_Tutorial2.ipynb @@ -1606,13 +1606,16 @@ "source": [ "# to_remove explanation\n", "\"\"\"\n", - "Konkle and Alvarez (2022) speculate that perceptual judgements of visual similarity might be\n", - "driven by a process of contrastive learning not unlike that in AI. Different views of the same\n", - "scene, like the augmentations used in contrastive learning, can be generated by eye movements,\n", - "body movements and the passage of time. The hippocampus could hold these views in working memory\n", - "to implement a form of contrastive learning in neocortex. These ideas are closely related to\n", - "long-standing ideas about predictive coding in the brain. This remains an active and fascinating\n", - "area of research.\n", + "Our brain's ability to perform contrastive learning is linked to the function of the ventral visual stream.\n", + "This area of the brain processes visual information and has been shown to develop hierarchical features that\n", + "capture the structure of visual input through self-supervised learning mechanisms. Evidence suggests that anterior\n", + "regions of the ventral visual stream, particularly the anterior occipito-temporal cortex (aOTC), encode substantial\n", + "information about object categories without requiring explicit category-level supervision (Konkle and Alvarez, 2022).\n", + "Instead, these representations emerge through domain-general learning from natural image structures, where the brain\n", + "differentiates between individual views and categories based on the inherent statistical properties of visual input\n", + "(Livingstone et al., 2019; Arcaro and Livingstone, 2021). This capability supports the notion that the brain's visual\n", + "system can form complex object representations and categorization using self-supervised learning frameworks similar to\n", + "those in artificial neural networks.\n", "\"\"\"" ] }, diff --git a/tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_0cd5a0dc.py b/tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_0cd5a0dc.py new file mode 100644 index 000000000..4ac4c10df --- /dev/null +++ b/tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_0cd5a0dc.py @@ -0,0 +1,12 @@ +""" +Our brain's ability to perform contrastive learning is linked to the function of the ventral visual stream. +This area of the brain processes visual information and has been shown to develop hierarchical features that +capture the structure of visual input through self-supervised learning mechanisms. Evidence suggests that anterior +regions of the ventral visual stream, particularly the anterior occipito-temporal cortex (aOTC), encode substantial +information about object categories without requiring explicit category-level supervision (Konkle and Alvarez, 2022). +Instead, these representations emerge through domain-general learning from natural image structures, where the brain +differentiates between individual views and categories based on the inherent statistical properties of visual input +(Livingstone et al., 2019; Arcaro and Livingstone, 2021). This capability supports the notion that the brain's visual +system can form complex object representations and categorization using self-supervised learning frameworks similar to +those in artificial neural networks. +""" \ No newline at end of file diff --git a/tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_81063c05.py b/tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_81063c05.py deleted file mode 100644 index ca9b56299..000000000 --- a/tutorials/W1D2_ComparingTasks/solutions/W1D2_Tutorial2_Solution_81063c05.py +++ /dev/null @@ -1,9 +0,0 @@ -""" -Konkle and Alvarez (2022) speculate that perceptual judgements of visual similarity might be -driven by a process of contrastive learning not unlike that in AI. Different views of the same -scene, like the augmentations used in contrastive learning, can be generated by eye movements, -body movements and the passage of time. The hippocampus could hold these views in working memory -to implement a form of contrastive learning in neocortex. These ideas are closely related to -long-standing ideas about predictive coding in the brain. 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