<div class="product-page-section table-of-contents meap-contents" style="box-sizing: border-box; margin-bottom: 36px; color: rgb(51, 51, 51); font-family: Lato, -apple-system, BlinkMacSystemFont, "avenir next", avenir, "helvetica neue", helvetica, Ubuntu, roboto, noto, "segoe ui", arial, sans-serif; font-size: 17.25px; background-color: rgb(255, 255, 255);"> <h2 class="header" style="box-sizing: border-box; line-height: 1.1; color: inherit; margin: 0px 0px 10px; font-size: 27px; text-transform: lowercase;"><span style="box-sizing: border-box;">table of contents</span></h2> <div class="toc" style="box-sizing: border-box; padding-top: 0px; user-select: none; margin-bottom: 0px; padding-bottom: 0px;"> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-1?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_1" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-1?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">1</span>AN OVERVIEW OF MACHINE LEARNING AND DEEP LEARNING</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-2?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_2" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-2?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">2</span>INTRODUCTION TO VECTORS, MATRICES AND TENSORS FROM MACHINE LEARNING AND DATA SCIENCE POINT OF VIEW</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-3?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_3" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-3?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">3</span>INTRODUCTION TO VECTOR CALCULUS FROM MACHINE LEARNING POINT OF VIEW</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-4?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_4" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-4?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">4</span>LINEAR ALGEBRAIC TOOLS IN MACHINE LEARNING AND DATA SCIENCE</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-5?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_5" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-5?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">5</span>PROBABILITY DISTRIBUTIONS FOR MACHINE LEARNING AND DATA SCIENCE</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-6?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_6" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-6?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">6</span>BAYESIAN TOOLS FOR MACHINE LEARNING AND DATA SCIENCE</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-7?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_7" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-7?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">7</span>FUNCTION APPROXIMATION: HOW NEURAL NETWORKS MODEL THE WORLD</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-8?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_8" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-8?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">8</span>TRAINING NEURAL NETWORKS: FORWARD AND BACKPROPAGATION</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-9?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_9" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-9?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">9</span>LOSS, OPTIMIZATION AND REGULARIZATION</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-10?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_10" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/chapter-10?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">10</span>ONE, TWO AND THREE DIMENSIONAL CONVOLUTION AND TRANSPOSED CONVOLUTION IN NEURAL NETWORKS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; 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background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;">APPENDIX A: APPENDIX</a><a class="toc-controllo toc-retracto" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-down retracto" title="Collapse" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> <div class="sectionbody shown-toc" style="box-sizing: border-box; margin-top: 10px; margin-bottom: 10px;"> <div class="sect2" style="box-sizing: border-box; margin-left: 19px;"> <a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/appendix/section-a-1?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><h3 id="_a_1_dot_product_and_cosine_of_the_angle_between_two_vectors" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; font-weight: normal; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; text-transform: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">A.1</span>Dot Product and cosine of the angle between two vectors</h3></a> </div> <div class="sect2" style="box-sizing: border-box; margin-left: 19px;"> <a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/appendix/section-a-2?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><h3 id="_a_2_computing_variance_of_gaussian_distribution" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; font-weight: normal; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; text-transform: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">A.2</span>Computing variance of Gaussian Distribution</h3></a> </div> <div class="sect2" style="box-sizing: border-box; margin-left: 19px;"> <h3 id="_a_3_two_theorems_in_statistics" data-toggle="tooltip" data-placement="left" title="" data-original-title="Available" style="box-sizing: border-box; background-color: transparent; color: inherit; text-decoration-line: none; font-weight: normal; line-height: 22px; margin: 0px; font-size: 15px; text-transform: none;"><a href="https://livebook.manning.com/book/math-and-architectures-of-deep-learning/appendix/section-a-3?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">A.3</span>Two Theorems in Statistic</a></h3> </div> </div> </div> </div> </div>