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aria-haspopup="true" aria-expanded="false" aria-owns="Popover3-content" type="button" class="Button Editable-control Button--plain" aria-label="更多" data-tooltip="更多"><svg class="Zi Zi--Dots" fill="currentColor" viewBox="0 0 24 24" width="24" height="24"><path d="M5 14a2 2 0 1 1 0-4 2 2 0 0 1 0 4zm7 0a2 2 0 1 1 0-4 2 2 0 0 1 0 4zm7 0a2 2 0 1 1 0-4 2 2 0 0 1 0 4z" fill-rule="evenodd"></path></svg></button></div></div></div></div><div class="Dropzone RichText RichText--editable RichText--clearBoth ztext" style="min-height: 38px;"><div class="DraftEditor-root"><div class="DraftEditor-editorContainer"><div aria-describedby="placeholder-8qlha" class="notranslate public-DraftEditor-content" contenteditable="true" role="textbox" spellcheck="true" tabindex="0" style="outline: none; user-select: text; white-space: pre-wrap; overflow-wrap: break-word;"><div data-contents="true"><h2 class="Editable-styled" data-block="true" data-editor="8qlha" data-offset-key="b2kb9-0-0"><div data-offset-key="b2kb9-0-0" class="public-DraftStyleDefault-block public-DraftStyleDefault-ltr"><span data-offset-key="b2kb9-0-0" style="font-weight: bold;"><span data-text="true">1. What is Multi-view data?</span></span></div></h2><div class="Editable-unstyled" data-block="true" data-editor="8qlha" data-offset-key="eqsdu-0-0"><div data-offset-key="eqsdu-0-0" class="public-DraftStyleDefault-block public-DraftStyleDefault-ltr"><span data-offset-key="eqsdu-0-0"><span data-text="true">The data collected from multiple sources or obtained from different feature extractors which called the Multi-view data.</span></span></div></div><div class="Editable-unstyled" data-block="true" data-editor="8qlha" data-offset-key="2d0vq-0-0"><div data-offset-key="2d0vq-0-0" class="public-DraftStyleDefault-block public-DraftStyleDefault-ltr"><span data-offset-key="2d0vq-0-0"><span data-text="true">For examples, 1. an object can be described from different views; 2. the fruit can be depicted from color, shape, smell and so on; 3. the identity of person can be represented by faces, iris and fingerprint; 4. a word can be expressed in different languages.</span></span></div></div><figure class="Editable-styled" data-block="true" data-editor="8qlha" data-offset-key="4n9gb-0-0" contenteditable="false"><div class="Image-resizerContainer" data-size="normal"><div><div class="Image-captionContainer" data-size="normal"><div><img class="Image FocusPlugin--unfocused Image--isBlock" src="./写文章 - 知乎_files/v2-ac120c09a3922702a141300245c9950e_hd.jpeg" data-size="normal" data-rawwidth="1097" data-rawheight="632" data-watermark="watermark" data-original-src="https://pic1.zhimg.com/v2-ac120c09a3922702a141300245c9950e.jpeg" data-watermark-src="https://pic2.zhimg.com/v2-1540bcecc3dc9d7398d8fe5c8377ff52.jpeg"></div></div></div></div></figure><h2 class="Editable-styled" data-block="true" data-editor="8qlha" data-offset-key="ddr39-0-0"><div data-offset-key="ddr39-0-0" class="public-DraftStyleDefault-block public-DraftStyleDefault-ltr"><span data-offset-key="ddr39-0-0" style="font-weight: bold;"><span data-text="true">2. Non-negative Matrix Factorazation</span></span></div></h2><div class="Editable-unstyled" data-block="true" data-editor="8qlha" data-offset-key="dttvr-0-0"><div data-offset-key="dttvr-0-0" class="public-DraftStyleDefault-block public-DraftStyleDefault-ltr"><span data-offset-key="dttvr-0-0"><span data-text="true"> In this section, we briefly introduce non-negative matrix factorization (NMF). Given an input non-negative data matrix </span></span><span class="Formula isEditable" style="background-image: url("//www.zhihu.com/equation?tex=X%3D%5Bx_1%2C%20x_2%2C%20...%2Cx_N%5D%5Cin%20%5Cmathbb%7BR%7D%5E%7BM%5Ctimes%20N%7D");"><img class="Formula-image" data-eeimg="true" src="./写文章 - 知乎_files/equation" alt="X=[x_1, x_2, ...,x_N]\in \mathbb{R}^{M\times N}" width="266" height="29"><span class="Formula-placeholder" data-paste-ignore="true"><span data-offset-key="dttvr-1-0"><span data-text="true"> </span></span></span></span><span data-offset-key="dttvr-2-0"><span data-text="true"> , each column of </span></span><span class="Formula isEditable" style="background-image: url("//www.zhihu.com/equation?tex=%5Cmathbf%20X");"><img class="Formula-image" data-eeimg="true" src="./写文章 - 知乎_files/equation(1)" alt="\mathbf X" width="18" height="20"><span class="Formula-placeholder" data-paste-ignore="true"><span data-offset-key="dttvr-3-0"><span data-text="true"> </span></span></span></span><span data-offset-key="dttvr-4-0"><span data-text="true"> is an instance vector. NMF aims to find two non-negative matrices </span></span><span class="Formula isEditable" style="background-image: url("//www.zhihu.com/equation?tex=%5Cmathbf%20W%5Cin%20%5Cmathbb%7BR%7D%5E%7BM%5Ctimes%20K%7D");"><img class="Formula-image" data-eeimg="true" src="./写文章 - 知乎_files/equation(2)" alt="\mathbf W\in \mathbb{R}^{M\times K}" width="108" height="24"><span class="Formula-placeholder" data-paste-ignore="true"><span data-offset-key="dttvr-5-0"><span data-text="true"> </span></span></span></span><span data-offset-key="dttvr-6-0"><span data-text="true"> and </span></span><span class="Formula isEditable" style="background-image: url("//www.zhihu.com/equation?tex=%5Cmathbf%20H%5Cin%20%5Cmathbb%7BR%7D%5E%7BN%5Ctimes%20K%7D%20");"><img class="Formula-image" data-eeimg="true" src="./写文章 - 知乎_files/equation(3)" alt="\mathbf H\in \mathbb{R}^{N\times K} " width="99" height="24"><span class="Formula-placeholder" data-paste-ignore="true"><span data-offset-key="dttvr-7-0"><span data-text="true"> </span></span></span></span><span data-offset-key="dttvr-8-0"><span data-text="true"> whose product can well approximate the original matrix $\X$. In particular, $\H$ can be considered as the new representation of data in terms of the basis $\W$. The cost function of standard NMF is defined as</span></span></div></div></div></div></div></div></div><input multiple="" type="file" accept="image/jpg,image/jpeg,image/png,image/gif" style="display: none;"><div></div></div></div></div></div></div></main><div class="CornerButtons"><div class="CornerAnimayedFlex"><button data-tooltip="建议反馈" data-tooltip-position="left" data-tooltip-will-hide-on-click="true" aria-label="建议反馈" type="button" class="Button CornerButton Button--plain"><svg class="Zi Zi--Feedback" title="建议反馈" fill="currentColor" viewBox="0 0 24 24" width="24" height="24"><path d="M19.99 6.99L18 5s-1-1-2-1H8C7 4 6 5 6 5L4 7S3 8 3 9v9s0 2 2.002 2H19c2 0 2-2 2-2V9c0-1-1.01-2.01-1.01-2.01zM16.5 5.5L19 8H5l2.5-2.5h9zm-2 5.5s.5 0 .5.5-.5.5-.5.5h-5s-.5 0-.5-.5.5-.5.5-.5h5z"></path></svg></button></div><div class="CornerAnimayedFlex CornerAnimayedFlex--hidden"><button data-tooltip="回到顶部" data-tooltip-position="left" data-tooltip-will-hide-on-click="true" aria-label="回到顶部" 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