This filter will remove it completely from all images, you can add a conditional to only effect certain images.
function remove_img_title($atts) {
unset($atts['title']);
return $atts;
}
add_filter('wp_get_attachment_image_attributes','remove_img_title');
Instead if you want to use <?php the_post_thumbnail( 'category-thumb' ); ?>
You can pass it an empty title using the second $attr
so your title tag will look like title=" "
.
It would be:
$default_attr = array('title' => ' ');
the_post_thumbnail('post-thumbnails', $default_attr);