5 ms·

Could this be used for batch filtering?

• measurablefunc 5mo ago
  Lie brackets are bi-linear so whatever you do per example automatically carries over to sums, the bracket for the batch is just the pairwise brackets for elements in the batch, i.e. {a + b + c, d} = {a, d} + {b, d} + {c, d}. Similarly for the second component.
  • thaumasiotes 5mo ago
    > Similarly for the second component. Hmm. {a + b, c + d} = {a, c + d} + {b, c + d} = {a, c} + {a, d} + {b, c} + {b, d}. {a + b + c, x + y + z} = {a, x + y + z} + {b, x + y + z} + {c, x + y + z} = (a sum of nine direct brackets). This doesn't look like it will scale well.
    • measurablefunc 5mo ago
      Then don't use the Lie bracket. All bilinear forms scale the same way.