-Could be your game. Could be your PSU. What's your PSU? Go into Origin to 'game library'>find the BF4 icon & right click it> you should see a list with 'update game' and 'repair game'. Do both.
-R9 290 requirement is a 750 watt psu. Though it can run on less (550w minimum), it's always good to have the extra headroom.
-R9 290 is known for a high heat signature. Blow the dust out of the case and off the card.
-While you're at it, shut down your gear and drain the power then remove and reseat all your hardware and plugs.
-Test the PSU. Do you have spare or a known good PSU lying around? You can find a PSU tester online for about $15 to $22. Amazon...