|
| 1 | +Grouping |
| 2 | +======== |
| 3 | + |
| 4 | +The aggregation can be made independently on groups of parameters, at different granularities. The |
| 5 | +`Gradient Vaccine paper <https://arxiv.org/pdf/2010.05874>`_ introduces four strategies to partition |
| 6 | +the parameters: |
| 7 | + |
| 8 | +1. **Together** (baseline): one group covering all parameters. Corresponds to the `whole_model` |
| 9 | + stategy in the paper. |
| 10 | + |
| 11 | +2. **Per network**: one group per top-level sub-network (e.g. encoder and decoder separately). |
| 12 | + Corresponds to the `enc_dec` stategy in the paper. |
| 13 | + |
| 14 | +3. **Per layer**: one group per leaf module of the network. Corresponds to the `all_layer` stategy |
| 15 | + in the paper. |
| 16 | + |
| 17 | +4. **Per tensor**: one group per individual parameter tensor. Corresponds to the `all_matrix` |
| 18 | + stategy in the paper. |
| 19 | + |
| 20 | +In TorchJD, grouping is achieved by calling :func:`~torchjd.autojac.jac_to_grad` once per group |
| 21 | +after :func:`~torchjd.autojac.backward` or :func:`~torchjd.autojac.mtl_backward`, with a dedicated |
| 22 | +aggregator instance per group. For :class:`~torchjd.aggregation.Stateful` aggregators, each instance |
| 23 | +should independently maintains its own state (e.g. the EMA :math:`\hat{\phi}` state in |
| 24 | +:class:`~torchjd.aggregation.GradVac`, matching the per-block targets from the original paper). |
| 25 | + |
| 26 | +.. note:: |
| 27 | + The grouping is orthogonal to the choice between |
| 28 | + :func:`~torchjd.autojac.backward` vs :func:`~torchjd.autojac.mtl_backward`. Those functions |
| 29 | + determine *which* parameters receive Jacobians; grouping then determines *how* those Jacobians |
| 30 | + are partitioned for aggregation. |
| 31 | + |
| 32 | +.. note:: |
| 33 | + The examples below use :class:`~torchjd.aggregation.GradVac`, but the same pattern applies to |
| 34 | + any :class:`~torchjd.aggregation.Aggregator`. |
| 35 | + |
| 36 | +1. Together |
| 37 | +----------- |
| 38 | + |
| 39 | +A single :class:`~torchjd.aggregation.Aggregator` instance aggregates all shared parameters |
| 40 | +together. Cosine similarities are computed between the full task gradient vectors. |
| 41 | + |
| 42 | +.. testcode:: |
| 43 | + :emphasize-lines: 14, 21 |
| 44 | + |
| 45 | + import torch |
| 46 | + from torch.nn import Linear, MSELoss, ReLU, Sequential |
| 47 | + from torch.optim import SGD |
| 48 | + |
| 49 | + from torchjd.aggregation import GradVac |
| 50 | + from torchjd.autojac import jac_to_grad, mtl_backward |
| 51 | + |
| 52 | + encoder = Sequential(Linear(10, 5), ReLU(), Linear(5, 3), ReLU()) |
| 53 | + task1_head, task2_head = Linear(3, 1), Linear(3, 1) |
| 54 | + optimizer = SGD([*encoder.parameters(), *task1_head.parameters(), *task2_head.parameters()], lr=0.1) |
| 55 | + loss_fn = MSELoss() |
| 56 | + inputs, t1, t2 = torch.randn(8, 16, 10), torch.randn(8, 16, 1), torch.randn(8, 16, 1) |
| 57 | +
|
| 58 | + aggregator = GradVac() |
| 59 | + |
| 60 | + for x, y1, y2 in zip(inputs, t1, t2): |
| 61 | + features = encoder(x) |
| 62 | + loss1 = loss_fn(task1_head(features), y1) |
| 63 | + loss2 = loss_fn(task2_head(features), y2) |
| 64 | + mtl_backward([loss1, loss2], features=features) |
| 65 | + jac_to_grad(encoder.parameters(), aggregator) |
| 66 | + optimizer.step() |
| 67 | + optimizer.zero_grad() |
| 68 | + |
| 69 | +2. Per network |
| 70 | +-------------- |
| 71 | + |
| 72 | +One :class:`~torchjd.aggregation.Aggregator` instance per top-level sub-network. Here the model |
| 73 | +is split into an encoder and a decoder; cosine similarities are computed separately within each. |
| 74 | +Passing ``features=dec_out`` to :func:`~torchjd.autojac.mtl_backward` causes both sub-networks |
| 75 | +to receive Jacobians, which are then aggregated independently. |
| 76 | + |
| 77 | +.. testcode:: |
| 78 | + :emphasize-lines: 8-9, 15-16, 24-25 |
| 79 | + |
| 80 | + import torch |
| 81 | + from torch.nn import Linear, MSELoss, ReLU, Sequential |
| 82 | + from torch.optim import SGD |
| 83 | + |
| 84 | + from torchjd.aggregation import GradVac |
| 85 | + from torchjd.autojac import jac_to_grad, mtl_backward |
| 86 | + |
| 87 | + encoder = Sequential(Linear(10, 5), ReLU()) |
| 88 | + decoder = Sequential(Linear(5, 3), ReLU()) |
| 89 | + task1_head, task2_head = Linear(3, 1), Linear(3, 1) |
| 90 | + optimizer = SGD([*encoder.parameters(), *decoder.parameters(), *task1_head.parameters(), *task2_head.parameters()], lr=0.1) |
| 91 | + loss_fn = MSELoss() |
| 92 | + inputs, t1, t2 = torch.randn(8, 16, 10), torch.randn(8, 16, 1), torch.randn(8, 16, 1) |
| 93 | +
|
| 94 | + encoder_aggregator = GradVac() |
| 95 | + decoder_aggregator = GradVac() |
| 96 | + |
| 97 | + for x, y1, y2 in zip(inputs, t1, t2): |
| 98 | + enc_out = encoder(x) |
| 99 | + dec_out = decoder(enc_out) |
| 100 | + loss1 = loss_fn(task1_head(dec_out), y1) |
| 101 | + loss2 = loss_fn(task2_head(dec_out), y2) |
| 102 | + mtl_backward([loss1, loss2], features=dec_out) |
| 103 | + jac_to_grad(encoder.parameters(), encoder_aggregator) |
| 104 | + jac_to_grad(decoder.parameters(), decoder_aggregator) |
| 105 | + optimizer.step() |
| 106 | + optimizer.zero_grad() |
| 107 | + |
| 108 | +3. Per layer |
| 109 | +------------ |
| 110 | + |
| 111 | +One :class:`~torchjd.aggregation.Aggregator` instance per leaf module. Cosine similarities are |
| 112 | +computed per-layer between the task gradients. |
| 113 | + |
| 114 | +.. testcode:: |
| 115 | + :emphasize-lines: 14-15, 22-23 |
| 116 | + |
| 117 | + import torch |
| 118 | + from torch.nn import Linear, MSELoss, ReLU, Sequential |
| 119 | + from torch.optim import SGD |
| 120 | + |
| 121 | + from torchjd.aggregation import GradVac |
| 122 | + from torchjd.autojac import jac_to_grad, mtl_backward |
| 123 | + |
| 124 | + encoder = Sequential(Linear(10, 5), ReLU(), Linear(5, 3), ReLU()) |
| 125 | + task1_head, task2_head = Linear(3, 1), Linear(3, 1) |
| 126 | + optimizer = SGD([*encoder.parameters(), *task1_head.parameters(), *task2_head.parameters()], lr=0.1) |
| 127 | + loss_fn = MSELoss() |
| 128 | + inputs, t1, t2 = torch.randn(8, 16, 10), torch.randn(8, 16, 1), torch.randn(8, 16, 1) |
| 129 | +
|
| 130 | + leaf_layers = [m for m in encoder.modules() if list(m.parameters()) and not list(m.children())] |
| 131 | + aggregators = [GradVac() for _ in leaf_layers] |
| 132 | + |
| 133 | + for x, y1, y2 in zip(inputs, t1, t2): |
| 134 | + features = encoder(x) |
| 135 | + loss1 = loss_fn(task1_head(features), y1) |
| 136 | + loss2 = loss_fn(task2_head(features), y2) |
| 137 | + mtl_backward([loss1, loss2], features=features) |
| 138 | + for layer, aggregator in zip(leaf_layers, aggregators): |
| 139 | + jac_to_grad(layer.parameters(), aggregator) |
| 140 | + optimizer.step() |
| 141 | + optimizer.zero_grad() |
| 142 | + |
| 143 | +4. Per parameter |
| 144 | +---------------- |
| 145 | + |
| 146 | +One :class:`~torchjd.aggregation.Aggregator` instance per individual parameter tensor. Cosine |
| 147 | +similarities are computed per-tensor between the task gradients (e.g. weights and biases of each |
| 148 | +layer are treated as separate groups). |
| 149 | + |
| 150 | +.. testcode:: |
| 151 | + :emphasize-lines: 14-15, 22-23 |
| 152 | + |
| 153 | + import torch |
| 154 | + from torch.nn import Linear, MSELoss, ReLU, Sequential |
| 155 | + from torch.optim import SGD |
| 156 | + |
| 157 | + from torchjd.aggregation import GradVac |
| 158 | + from torchjd.autojac import jac_to_grad, mtl_backward |
| 159 | + |
| 160 | + encoder = Sequential(Linear(10, 5), ReLU(), Linear(5, 3), ReLU()) |
| 161 | + task1_head, task2_head = Linear(3, 1), Linear(3, 1) |
| 162 | + optimizer = SGD([*encoder.parameters(), *task1_head.parameters(), *task2_head.parameters()], lr=0.1) |
| 163 | + loss_fn = MSELoss() |
| 164 | + inputs, t1, t2 = torch.randn(8, 16, 10), torch.randn(8, 16, 1), torch.randn(8, 16, 1) |
| 165 | +
|
| 166 | + shared_params = list(encoder.parameters()) |
| 167 | + aggregators = [GradVac() for _ in shared_params] |
| 168 | + |
| 169 | + for x, y1, y2 in zip(inputs, t1, t2): |
| 170 | + features = encoder(x) |
| 171 | + loss1 = loss_fn(task1_head(features), y1) |
| 172 | + loss2 = loss_fn(task2_head(features), y2) |
| 173 | + mtl_backward([loss1, loss2], features=features) |
| 174 | + for param, aggregator in zip(shared_params, aggregators): |
| 175 | + jac_to_grad([param], aggregator) |
| 176 | + optimizer.step() |
| 177 | + optimizer.zero_grad() |
0 commit comments