If you are arriving by car/taxi, then (going west) on Mysore road, after crossing Bangalore University gate,(about 300 meters onward), you will see a break in the median of the road. Turn right and pass the railway crossing. As soon as you pass the crossing you can follow the signs to the institute main gate. Please note that if you have gone past R V College of Engineering on Mysore Road, then you have gone too far.
From Airport:
As you come out of the baggage claim area, just outside the terminal you will find taxis run by Meru Cabs and Easy Cabs. You can specify your destination as near R.V. College/Bangalore University on Mysore Road. Then follow the above paragraph with regard to reaching the Institute. The cabs are metered and the driver will give you a receipt for the fare paid.
There are air conditioned buses as well. You should take the one to Vijayanagar Bus stand and then take an autorickshaw from there to the institute.
Driving Directions Reaching ISI Bangalore from Bangalore International Airport
From Bangalore City station:
As you come out of the station to your left are the Prepaid Auto and Taxi Stand. Across the station is the Majestic Bus stand and you can take bus no. 222A and it will drop you at Jayaram Das Bus stand.