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Quantized Decentralized Stochastic Learning over Directed Graphs
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Quantize the difference x_i - x̂_i (with stochastic low-precision quantizer) in push-sum gossip over directed graphs | Quantized push-sum gossip · Gossip over directed graphs G1, G2 | total communicated bits to reach target error: up to 10x (G1) and 6x (G2) fewer bits | Helped |
| Quantized push-sum gossip versus exact communication, measured per iteration | Quantized push-sum gossip · Gossip over directed graphs G1, G2 | error per iteration | Hurt |
| Quantized decentralized SGD with fewer bits per entry versus exact communication | Quantized decentralized SGD (Algorithm 2) · Least-squares objective, d=256, G1/G2 | loss per iteration and bits to reach loss: 5x fewer bits | Mixed |
| 8-bit quantization in decentralized SGD on MNIST neural network | Quantized decentralized SGD (Algorithm 2) · MNIST training loss | training loss per iteration and total bits: 5x fewer total bits; per-iteration gap is close | Mixed |
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