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I came across an online tutorial which has the following category:

enter image description here

As you see SMPS is categorized as a non-isolated power supply. Or am I interpreting the tree wrong?

But isnt an SMPS isolated through a transformer and opto-coupling(for the feedback)?

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    \$\begingroup\$ It can be either. \$\endgroup\$ – Tony Stewart Sunnyskyguy EE75 Feb 19 '18 at 1:57
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    \$\begingroup\$ "As you see SMPS is categorized as a non-isolated power supply." No, what I see is that non-isolated DC power supplies can be divided into linear and switch-mode. \$\endgroup\$ – Ignacio Vazquez-Abrams Feb 19 '18 at 1:59
  • \$\begingroup\$ @IgnacioVazquez-Abrams You are right I definitely got it wrong. \$\endgroup\$ – atmnt Feb 19 '18 at 2:06
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That's only a part of the power supply taxonomy tree. The other parts of the taxonomy are probably in a further section of your tutorials. A bigger picture might look like this:

enter image description here

The blue dotted line shows the sub-section of the tree posted in the question.

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In addition to Nick's chart, it is worth noting that the isolated converters perform similar functions as the non-isolated ones. For example: the flyback works like a buck-boost, the forward / push-pull / full-bridge work like buck converters.

The mechanics are a little different though.

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