Excluding cateory not working on my site. how to solve this? [closed]

You need to wrap your ids in an array.

$args = array('author'=> $author_id, 'posts_per_page' => 10, 'paged' => $paged, 'category__not_in' => array( 16, 19, 1, 20 ) );

http://codex.wordpress.org/Class_Reference/WP_Query#Category_Parameters

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