{"id":300014,"date":"2016-11-01T15:39:50","date_gmt":"2016-11-01T22:39:50","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=300014"},"modified":"2018-10-16T22:04:20","modified_gmt":"2018-10-17T05:04:20","slug":"parallelizing-sgd-symbolically","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/parallelizing-sgd-symbolically\/","title":{"rendered":"Parallelizing SGD Symbolically"},"content":{"rendered":"<p>In here, for the sake of simplicity, we use w instead of  w and instead of k for<br \/>\nthe size of the projected space, we use r since k is used for summation indices<br \/>\nin here, heavily. We want to estimate v = M   w with 1<br \/>\nrM   A   AT   w, where A<br \/>\nis a f   r matrix, where aij is a random variable with the following properties.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In here, for the sake of simplicity, we use w instead of w and instead of k for the size of the projected space, we use r since k is used for summation indices in here, heavily. We want to estimate v = M w with 1 rM A AT w, where A is a 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