If you really have clay soil, you need to look into whether the soil itself needs to be compacted. We use a jumping jack to compact the heck out of clay soils.
If it were my house in my yard (central NJ), and I was redoing the pavers, I'd compact my soil with the jumping jack, then lay down some geotech fabric, then do the stone base, sand, etc. Moist, uncompacted clay soils like to move around like playdough when compressed. With the compaction and geotech fabric, I'd feel confident that such movement would be minimized.
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