2 things to check -
has the car got auto lights? if so leave them set to manual for a while and see if things improve (don't know about Jazz, but in civics made around the same time as yours the auto lights can drain the battery in about 3 days - it's not that the lights come on, it is just the auto light circuitry that allows the battery to drain).
I know you say the alternator has been checked, but if you lose one diode in the alternator the output voltage is still around 13.5volts, which a lot of people think is OK, but it is not - the charging voltage should be around 13.8 to 14.2 to keep battery in good condition - at 13.5 volts the battery will not be kept charged enough for winter motoring with all it's extra demands of headlights, wipers, heated screens and mirrors etc..