def _margin_softmax(input, label, out_dim, param_attr, margin1, margin2, margin3, scale, sample_ratio): input_norm = paddle.sqrt( paddle.sum(paddle.square(input), axis=1, keepdim=True)) input = paddle.divide(input, input_norm) if param_attr is None: param_attr = paddle.ParamAttr( initializer=paddle.nn.initializer.XavierNormal(fan_in=0.0)) weight = paddle.static.create_parameter( shape=[input.shape[1], out_dim], dtype='float32', name=unique_name.generate('final_fc_w'), attr=param_attr) if sample_ratio < 1.0: # partial fc sample process label, sampled_class_index = class_center_sample( label, out_dim, ratio=sample_ratio, ignore_label=-1) sampled_class_index.stop_gradient = True weight = paddle.gather(weight, sampled_class_index, axis=1) out_dim = paddle.shape(sampled_class_index) weight_norm = paddle.sqrt( paddle.sum(paddle.square(weight), axis=0, keepdim=True)) weight = paddle.divide(weight, weight_norm) cos = paddle.matmul(input, weight) theta = paddle.acos(cos) if margin1 != 1.0: theta = margin1 * theta if margin2 != 0.0: theta = theta + margin2 margin_cos = paddle.cos(theta) if margin3 != 0.0: margin_cos = margin_cos - margin3 one_hot = paddle.nn.functional.one_hot(label, num_classes=out_dim) diff = paddle.multiply(paddle.subtract(margin_cos, cos), one_hot) target_cos = paddle.add(cos, diff) logit = paddle.scale(target_cos, scale=scale) loss, prob = paddle.nn.functional.softmax_with_cross_entropy( logits=logit, label=paddle.reshape(label, (-1, 1)), return_softmax=True) avg_loss = paddle.mean(x=loss) one_hot.stop_gradient = True return avg_loss, prob
def test_tensor_patch_method(self): paddle.disable_static() x_np = np.random.uniform(-1, 1, [2, 3]).astype(self.dtype) y_np = np.random.uniform(-1, 1, [2, 3]).astype(self.dtype) z_np = np.random.uniform(-1, 1, [6, 9]).astype(self.dtype) x = paddle.to_tensor(x_np) y = paddle.to_tensor(y_np) z = paddle.to_tensor(z_np) a = paddle.to_tensor([[1, 1], [2, 2], [3, 3]]) b = paddle.to_tensor([[1, 1], [2, 2], [3, 3]]) # 1. Unary operation for Tensor self.assertEqual(x.dim(), 2) self.assertEqual(x.ndimension(), 2) self.assertEqual(x.ndim, 2) self.assertEqual(x.size, 6) self.assertEqual(x.numel(), 6) self.assertTrue(np.array_equal(x.exp().numpy(), paddle.exp(x).numpy())) self.assertTrue( np.array_equal(x.tanh().numpy(), paddle.tanh(x).numpy())) self.assertTrue( np.array_equal(x.atan().numpy(), paddle.atan(x).numpy())) self.assertTrue(np.array_equal(x.abs().numpy(), paddle.abs(x).numpy())) m = x.abs() self.assertTrue( np.array_equal(m.sqrt().numpy(), paddle.sqrt(m).numpy())) self.assertTrue( np.array_equal(m.rsqrt().numpy(), paddle.rsqrt(m).numpy())) self.assertTrue( np.array_equal(x.ceil().numpy(), paddle.ceil(x).numpy())) self.assertTrue( np.array_equal(x.floor().numpy(), paddle.floor(x).numpy())) self.assertTrue(np.array_equal(x.cos().numpy(), paddle.cos(x).numpy())) self.assertTrue( np.array_equal(x.acos().numpy(), paddle.acos(x).numpy())) self.assertTrue( np.array_equal(x.asin().numpy(), paddle.asin(x).numpy())) self.assertTrue(np.array_equal(x.sin().numpy(), paddle.sin(x).numpy())) self.assertTrue( np.array_equal(x.sinh().numpy(), paddle.sinh(x).numpy())) self.assertTrue( np.array_equal(x.cosh().numpy(), paddle.cosh(x).numpy())) self.assertTrue( np.array_equal(x.round().numpy(), paddle.round(x).numpy())) self.assertTrue( np.array_equal(x.reciprocal().numpy(), paddle.reciprocal(x).numpy())) self.assertTrue( np.array_equal(x.square().numpy(), paddle.square(x).numpy())) self.assertTrue( np.array_equal(x.rank().numpy(), paddle.rank(x).numpy())) self.assertTrue( np.array_equal(x[0].t().numpy(), paddle.t(x[0]).numpy())) self.assertTrue( np.array_equal(x.asinh().numpy(), paddle.asinh(x).numpy())) ### acosh(x) = nan, need to change input t_np = np.random.uniform(1, 2, [2, 3]).astype(self.dtype) t = paddle.to_tensor(t_np) self.assertTrue( np.array_equal(t.acosh().numpy(), paddle.acosh(t).numpy())) self.assertTrue( np.array_equal(x.atanh().numpy(), paddle.atanh(x).numpy())) d = paddle.to_tensor([[1.2285208, 1.3491015, 1.4899898], [1.30058, 1.0688717, 1.4928783], [1.0958099, 1.3724753, 1.8926544]]) d = d.matmul(d.t()) # ROCM not support cholesky if not fluid.core.is_compiled_with_rocm(): self.assertTrue( np.array_equal(d.cholesky().numpy(), paddle.cholesky(d).numpy())) self.assertTrue( np.array_equal(x.is_empty().numpy(), paddle.is_empty(x).numpy())) self.assertTrue( np.array_equal(x.isfinite().numpy(), paddle.isfinite(x).numpy())) self.assertTrue( np.array_equal( x.cast('int32').numpy(), paddle.cast(x, 'int32').numpy())) self.assertTrue( np.array_equal( x.expand([3, 2, 3]).numpy(), paddle.expand(x, [3, 2, 3]).numpy())) self.assertTrue( np.array_equal( x.tile([2, 2]).numpy(), paddle.tile(x, [2, 2]).numpy())) self.assertTrue( np.array_equal(x.flatten().numpy(), paddle.flatten(x).numpy())) index = paddle.to_tensor([0, 1]) self.assertTrue( np.array_equal( x.gather(index).numpy(), paddle.gather(x, index).numpy())) index = paddle.to_tensor([[0, 1], [1, 2]]) self.assertTrue( np.array_equal( x.gather_nd(index).numpy(), paddle.gather_nd(x, index).numpy())) self.assertTrue( np.array_equal( x.reverse([0, 1]).numpy(), paddle.reverse(x, [0, 1]).numpy())) self.assertTrue( np.array_equal( a.reshape([3, 2]).numpy(), paddle.reshape(a, [3, 2]).numpy())) self.assertTrue( np.array_equal( x.slice([0, 1], [0, 0], [1, 2]).numpy(), paddle.slice(x, [0, 1], [0, 0], [1, 2]).numpy())) self.assertTrue( np.array_equal( x.split(2)[0].numpy(), paddle.split(x, 2)[0].numpy())) m = paddle.to_tensor( np.random.uniform(-1, 1, [1, 6, 1, 1]).astype(self.dtype)) self.assertTrue( np.array_equal( m.squeeze([]).numpy(), paddle.squeeze(m, []).numpy())) self.assertTrue( np.array_equal( m.squeeze([1, 2]).numpy(), paddle.squeeze(m, [1, 2]).numpy())) m = paddle.to_tensor([2, 3, 3, 1, 5, 3], 'float32') self.assertTrue( np.array_equal(m.unique()[0].numpy(), paddle.unique(m)[0].numpy())) self.assertTrue( np.array_equal( m.unique(return_counts=True)[1], paddle.unique(m, return_counts=True)[1])) self.assertTrue(np.array_equal(x.flip([0]), paddle.flip(x, [0]))) self.assertTrue(np.array_equal(x.unbind(0), paddle.unbind(x, 0))) self.assertTrue(np.array_equal(x.roll(1), paddle.roll(x, 1))) self.assertTrue(np.array_equal(x.cumsum(1), paddle.cumsum(x, 1))) m = paddle.to_tensor(1) self.assertTrue(np.array_equal(m.increment(), paddle.increment(m))) m = x.abs() self.assertTrue(np.array_equal(m.log(), paddle.log(m))) self.assertTrue(np.array_equal(x.pow(2), paddle.pow(x, 2))) self.assertTrue(np.array_equal(x.reciprocal(), paddle.reciprocal(x))) # 2. Binary operation self.assertTrue( np.array_equal(x.divide(y).numpy(), paddle.divide(x, y).numpy())) self.assertTrue( np.array_equal( x.matmul(y, True, False).numpy(), paddle.matmul(x, y, True, False).numpy())) self.assertTrue( np.array_equal( x.norm(p='fro', axis=[0, 1]).numpy(), paddle.norm(x, p='fro', axis=[0, 1]).numpy())) self.assertTrue( np.array_equal(x.dist(y).numpy(), paddle.dist(x, y).numpy())) self.assertTrue( np.array_equal(x.cross(y).numpy(), paddle.cross(x, y).numpy())) m = x.expand([2, 2, 3]) n = y.expand([2, 2, 3]).transpose([0, 2, 1]) self.assertTrue( np.array_equal(m.bmm(n).numpy(), paddle.bmm(m, n).numpy())) self.assertTrue( np.array_equal( x.histogram(5, -1, 1).numpy(), paddle.histogram(x, 5, -1, 1).numpy())) self.assertTrue( np.array_equal(x.equal(y).numpy(), paddle.equal(x, y).numpy())) self.assertTrue( np.array_equal( x.greater_equal(y).numpy(), paddle.greater_equal(x, y).numpy())) self.assertTrue( np.array_equal( x.greater_than(y).numpy(), paddle.greater_than(x, y).numpy())) self.assertTrue( np.array_equal( x.less_equal(y).numpy(), paddle.less_equal(x, y).numpy())) self.assertTrue( np.array_equal( x.less_than(y).numpy(), paddle.less_than(x, y).numpy())) self.assertTrue( np.array_equal( x.not_equal(y).numpy(), paddle.not_equal(x, y).numpy())) self.assertTrue( np.array_equal( x.equal_all(y).numpy(), paddle.equal_all(x, y).numpy())) self.assertTrue( np.array_equal( x.allclose(y).numpy(), paddle.allclose(x, y).numpy())) m = x.expand([2, 2, 3]) self.assertTrue( np.array_equal( x.expand_as(m).numpy(), paddle.expand_as(x, m).numpy())) index = paddle.to_tensor([2, 1, 0]) self.assertTrue( np.array_equal( a.scatter(index, b).numpy(), paddle.scatter(a, index, b).numpy())) # 3. Bool tensor operation x = paddle.to_tensor([[True, False], [True, False]]) y = paddle.to_tensor([[False, False], [False, True]]) self.assertTrue( np.array_equal( x.logical_and(y).numpy(), paddle.logical_and(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_not(y).numpy(), paddle.logical_not(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_or(y).numpy(), paddle.logical_or(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_xor(y).numpy(), paddle.logical_xor(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_and(y).numpy(), paddle.logical_and(x, y).numpy())) a = paddle.to_tensor([[1, 2], [3, 4]]) b = paddle.to_tensor([[4, 3], [2, 1]]) self.assertTrue( np.array_equal( x.where(a, b).numpy(), paddle.where(x, a, b).numpy())) x_np = np.random.randn(3, 6, 9, 7) x = paddle.to_tensor(x_np) x_T = x.T self.assertTrue(x_T.shape, [7, 9, 6, 3]) self.assertTrue(np.array_equal(x_T.numpy(), x_np.T)) self.assertTrue(inspect.ismethod(a.dot)) self.assertTrue(inspect.ismethod(a.logsumexp)) self.assertTrue(inspect.ismethod(a.multiplex)) self.assertTrue(inspect.ismethod(a.prod)) self.assertTrue(inspect.ismethod(a.scale)) self.assertTrue(inspect.ismethod(a.stanh)) self.assertTrue(inspect.ismethod(a.add_n)) self.assertTrue(inspect.ismethod(a.max)) self.assertTrue(inspect.ismethod(a.maximum)) self.assertTrue(inspect.ismethod(a.min)) self.assertTrue(inspect.ismethod(a.minimum)) self.assertTrue(inspect.ismethod(a.floor_divide)) self.assertTrue(inspect.ismethod(a.remainder)) self.assertTrue(inspect.ismethod(a.floor_mod)) self.assertTrue(inspect.ismethod(a.multiply)) self.assertTrue(inspect.ismethod(a.logsumexp)) self.assertTrue(inspect.ismethod(a.inverse)) self.assertTrue(inspect.ismethod(a.log1p)) self.assertTrue(inspect.ismethod(a.erf)) self.assertTrue(inspect.ismethod(a.addmm)) self.assertTrue(inspect.ismethod(a.clip)) self.assertTrue(inspect.ismethod(a.trace)) self.assertTrue(inspect.ismethod(a.kron)) self.assertTrue(inspect.ismethod(a.isinf)) self.assertTrue(inspect.ismethod(a.isnan)) self.assertTrue(inspect.ismethod(a.concat)) self.assertTrue(inspect.ismethod(a.broadcast_to)) self.assertTrue(inspect.ismethod(a.scatter_nd_add)) self.assertTrue(inspect.ismethod(a.scatter_nd)) self.assertTrue(inspect.ismethod(a.shard_index)) self.assertTrue(inspect.ismethod(a.chunk)) self.assertTrue(inspect.ismethod(a.stack)) self.assertTrue(inspect.ismethod(a.strided_slice)) self.assertTrue(inspect.ismethod(a.unsqueeze)) self.assertTrue(inspect.ismethod(a.unstack)) self.assertTrue(inspect.ismethod(a.argmax)) self.assertTrue(inspect.ismethod(a.argmin)) self.assertTrue(inspect.ismethod(a.argsort)) self.assertTrue(inspect.ismethod(a.masked_select)) self.assertTrue(inspect.ismethod(a.topk)) self.assertTrue(inspect.ismethod(a.index_select)) self.assertTrue(inspect.ismethod(a.nonzero)) self.assertTrue(inspect.ismethod(a.sort)) self.assertTrue(inspect.ismethod(a.index_sample)) self.assertTrue(inspect.ismethod(a.mean)) self.assertTrue(inspect.ismethod(a.std)) self.assertTrue(inspect.ismethod(a.numel))
def forward(self, inputs): """ forward """ x = paddle.acos(inputs) return x
def slerp(z1, z2, alpha): theta = paddle.acos( paddle.sum(z1 * z2) / (paddle.norm(z1) * paddle.norm(z2))) return (paddle.sin((1 - alpha) * theta) / paddle.sin(theta) * z1 + paddle.sin(alpha * theta) / paddle.sin(theta) * z2)
def test_tensor_patch_method(self): paddle.disable_static() x_np = np.random.uniform(-1, 1, [2, 3]).astype(self.dtype) y_np = np.random.uniform(-1, 1, [2, 3]).astype(self.dtype) z_np = np.random.uniform(-1, 1, [6, 9]).astype(self.dtype) x = paddle.to_tensor(x_np) y = paddle.to_tensor(y_np) z = paddle.to_tensor(z_np) a = paddle.to_tensor([[1, 1], [2, 2], [3, 3]]) b = paddle.to_tensor([[1, 1], [2, 2], [3, 3]]) # 1. Unary operation for Tensor self.assertEqual(x.dim(), 2) self.assertEqual(x.ndimension(), 2) self.assertEqual(x.ndim, 2) self.assertEqual(x.size(), [2, 3]) self.assertTrue( np.array_equal(x.sigmoid().numpy(), fluid.layers.sigmoid(x).numpy())) self.assertTrue( np.array_equal(x.logsigmoid().numpy(), fluid.layers.logsigmoid(x).numpy())) self.assertTrue(np.array_equal(x.exp().numpy(), paddle.exp(x).numpy())) self.assertTrue( np.array_equal(x.tanh().numpy(), paddle.tanh(x).numpy())) self.assertTrue( np.array_equal(x.atan().numpy(), paddle.atan(x).numpy())) self.assertTrue( np.array_equal(x.tanh_shrink().numpy(), fluid.layers.tanh_shrink(x).numpy())) self.assertTrue(np.array_equal(x.abs().numpy(), paddle.abs(x).numpy())) m = x.abs() self.assertTrue( np.array_equal(m.sqrt().numpy(), paddle.sqrt(m).numpy())) self.assertTrue( np.array_equal(m.rsqrt().numpy(), paddle.rsqrt(m).numpy())) self.assertTrue( np.array_equal(x.ceil().numpy(), paddle.ceil(x).numpy())) self.assertTrue( np.array_equal(x.floor().numpy(), paddle.floor(x).numpy())) self.assertTrue(np.array_equal(x.cos().numpy(), paddle.cos(x).numpy())) self.assertTrue( np.array_equal(x.acos().numpy(), paddle.acos(x).numpy())) self.assertTrue( np.array_equal(x.asin().numpy(), paddle.asin(x).numpy())) self.assertTrue(np.array_equal(x.sin().numpy(), paddle.sin(x).numpy())) self.assertTrue( np.array_equal(x.sinh().numpy(), paddle.sinh(x).numpy())) self.assertTrue( np.array_equal(x.cosh().numpy(), paddle.cosh(x).numpy())) self.assertTrue( np.array_equal(x.round().numpy(), paddle.round(x).numpy())) self.assertTrue( np.array_equal(x.reciprocal().numpy(), paddle.reciprocal(x).numpy())) self.assertTrue( np.array_equal(x.square().numpy(), paddle.square(x).numpy())) self.assertTrue( np.array_equal(x.softplus().numpy(), fluid.layers.softplus(x).numpy())) self.assertTrue( np.array_equal(x.softsign().numpy(), fluid.layers.softsign(x).numpy())) self.assertTrue( np.array_equal(x.rank().numpy(), paddle.rank(x).numpy())) self.assertTrue( np.array_equal(x[0].t().numpy(), paddle.t(x[0]).numpy())) m = paddle.to_tensor(np.random.uniform(1, 2, [3, 3]), 'float32') m = m.matmul(m.t()) self.assertTrue( np.array_equal(m.cholesky().numpy(), paddle.cholesky(m).numpy())) self.assertTrue( np.array_equal(x.is_empty().numpy(), paddle.is_empty(x).numpy())) self.assertTrue( np.array_equal(x.isfinite().numpy(), paddle.isfinite(x).numpy())) self.assertTrue( np.array_equal( x.cast('int32').numpy(), paddle.cast(x, 'int32').numpy())) self.assertTrue( np.array_equal( x.expand([3, 2, 3]).numpy(), paddle.expand(x, [3, 2, 3]).numpy())) self.assertTrue( np.array_equal( x.tile([2, 2]).numpy(), paddle.tile(x, [2, 2]).numpy())) self.assertTrue( np.array_equal(x.flatten().numpy(), paddle.flatten(x).numpy())) index = paddle.to_tensor([0, 1]) self.assertTrue( np.array_equal( x.gather(index).numpy(), paddle.gather(x, index).numpy())) index = paddle.to_tensor([[0, 1], [1, 2]]) self.assertTrue( np.array_equal( x.gather_nd(index).numpy(), paddle.gather_nd(x, index).numpy())) self.assertTrue( np.array_equal( x.reverse([0, 1]).numpy(), paddle.reverse(x, [0, 1]).numpy())) self.assertTrue( np.array_equal( a.reshape([3, 2]).numpy(), paddle.reshape(a, [3, 2]).numpy())) self.assertTrue( np.array_equal( x.slice([0, 1], [0, 0], [1, 2]).numpy(), paddle.slice(x, [0, 1], [0, 0], [1, 2]).numpy())) self.assertTrue( np.array_equal( x.split(2)[0].numpy(), paddle.split(x, 2)[0].numpy())) m = paddle.to_tensor( np.random.uniform(-1, 1, [1, 6, 1, 1]).astype(self.dtype)) self.assertTrue( np.array_equal( m.squeeze([]).numpy(), paddle.squeeze(m, []).numpy())) self.assertTrue( np.array_equal( m.squeeze([1, 2]).numpy(), paddle.squeeze(m, [1, 2]).numpy())) m = paddle.to_tensor([2, 3, 3, 1, 5, 3], 'float32') self.assertTrue( np.array_equal(m.unique()[0].numpy(), paddle.unique(m)[0].numpy())) self.assertTrue( np.array_equal(m.unique_with_counts()[2], paddle.unique_with_counts(m)[2])) self.assertTrue(np.array_equal(x.flip([0]), paddle.flip(x, [0]))) self.assertTrue(np.array_equal(x.unbind(0), paddle.unbind(x, 0))) self.assertTrue(np.array_equal(x.roll(1), paddle.roll(x, 1))) self.assertTrue(np.array_equal(x.cumsum(1), paddle.cumsum(x, 1))) m = paddle.to_tensor(1) self.assertTrue(np.array_equal(m.increment(), paddle.increment(m))) m = x.abs() self.assertTrue(np.array_equal(m.log(), paddle.log(m))) self.assertTrue(np.array_equal(x.pow(2), paddle.pow(x, 2))) self.assertTrue(np.array_equal(x.reciprocal(), paddle.reciprocal(x))) # 2. Binary operation self.assertTrue( np.array_equal( x.matmul(y, True, False).numpy(), paddle.matmul(x, y, True, False).numpy())) self.assertTrue( np.array_equal( x.norm(p='fro', axis=[0, 1]).numpy(), paddle.norm(x, p='fro', axis=[0, 1]).numpy())) self.assertTrue( np.array_equal(x.dist(y).numpy(), paddle.dist(x, y).numpy())) self.assertTrue( np.array_equal(x.cross(y).numpy(), paddle.cross(x, y).numpy())) m = x.expand([2, 2, 3]) n = y.expand([2, 2, 3]).transpose([0, 2, 1]) self.assertTrue( np.array_equal(m.bmm(n).numpy(), paddle.bmm(m, n).numpy())) self.assertTrue( np.array_equal( x.histogram(5, -1, 1).numpy(), paddle.histogram(x, 5, -1, 1).numpy())) self.assertTrue( np.array_equal(x.equal(y).numpy(), paddle.equal(x, y).numpy())) self.assertTrue( np.array_equal( x.greater_equal(y).numpy(), paddle.greater_equal(x, y).numpy())) self.assertTrue( np.array_equal( x.greater_than(y).numpy(), paddle.greater_than(x, y).numpy())) self.assertTrue( np.array_equal( x.less_equal(y).numpy(), paddle.less_equal(x, y).numpy())) self.assertTrue( np.array_equal( x.less_than(y).numpy(), paddle.less_than(x, y).numpy())) self.assertTrue( np.array_equal( x.not_equal(y).numpy(), paddle.not_equal(x, y).numpy())) self.assertTrue( np.array_equal( x.equal_all(y).numpy(), paddle.equal_all(x, y).numpy())) self.assertTrue( np.array_equal( x.allclose(y).numpy(), paddle.allclose(x, y).numpy())) m = x.expand([2, 2, 3]) self.assertTrue( np.array_equal( x.expand_as(m).numpy(), paddle.expand_as(x, m).numpy())) index = paddle.to_tensor([2, 1, 0]) self.assertTrue( np.array_equal( a.scatter(index, b).numpy(), paddle.scatter(a, index, b).numpy())) # 3. Bool tensor operation x = paddle.to_tensor([[True, False], [True, False]]) y = paddle.to_tensor([[False, False], [False, True]]) self.assertTrue( np.array_equal(x.reduce_all().numpy(), paddle.reduce_all(x).numpy())) self.assertTrue( np.array_equal(x.reduce_any().numpy(), paddle.reduce_any(x).numpy())) self.assertTrue( np.array_equal( x.logical_and(y).numpy(), paddle.logical_and(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_not(y).numpy(), paddle.logical_not(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_or(y).numpy(), paddle.logical_or(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_xor(y).numpy(), paddle.logical_xor(x, y).numpy())) self.assertTrue( np.array_equal( x.logical_and(y).numpy(), paddle.logical_and(x, y).numpy()))
def margin_softmax_classify(self, x, label, margin1=1.0, margin2=0.5, margin3=0.0, logit_scale=64, param_attr=None): ''' reference: ArcFace. https://arxiv.org/abs/1801.07698 ''' flatten_dim = reduce(lambda a, b: a * b, x.shape[1:], 1) weight, bias = self.create_parameter(dtype=x.dtype, in_dim=flatten_dim, param_attr=param_attr, use_bias=False) # normalize x x_l2 = paddle.sqrt(paddle.sum(paddle.square(x), axis=1, keepdim=True)) norm_x = paddle.divide(x, x_l2) norm_x_list = [] paddle.distributed.all_gather(norm_x_list, norm_x) norm_x_all = paddle.concat(norm_x_list, axis=0) label_list = [] paddle.distributed.all_gather(label_list, label) label_all = paddle.concat(label_list, axis=0) label_all.stop_gradient = True label_all = paddle.reshape(label_all, (-1, 1)) shard_label = paddle.shard_index(label_all, index_num=self.nclasses, nshards=self.nranks, shard_id=self.rank_id, ignore_value=-1) shard_label = paddle.reshape(shard_label, (-1, )) # TODO check necessary shard_label.stop_gradient = True if self.sample_ratio < 1.0: # partial fc sample process shard_label, sampled_class_index = class_center_sample( shard_label, self.shard_dim, ratio=self.sample_ratio, ignore_label=-1) sampled_class_index.stop_gradient = True weight = paddle.gather(weight, sampled_class_index, axis=1) shard_dim = paddle.shape(sampled_class_index) else: shard_dim = self.shard_dim # normalize weight weight_l2 = paddle.sqrt( paddle.sum(paddle.square(weight), axis=0, keepdim=True)) norm_weight = paddle.divide(weight, weight_l2) shard_cos = paddle.matmul(norm_x_all, norm_weight) theta = paddle.acos(shard_cos) if margin1 != 1.0: theta = margin1 * theta if margin2 != 0.0: theta = theta + margin2 margin_cos = paddle.cos(theta) if margin3 != 0.0: margin_cos = margin_cos - margin3 shard_one_hot = paddle.nn.functional.one_hot(shard_label, num_classes=shard_dim) # TODO check necessary shard_one_hot.stop_gradient = True diff = paddle.multiply(paddle.subtract(margin_cos, shard_cos), shard_one_hot) shard_target_cos = paddle.add(shard_cos, diff) shard_logit = paddle.scale(shard_target_cos, scale=logit_scale) global_loss, shard_prob = self.softmax_with_cross_entropy( shard_logit, shard_one_hot) avg_loss = paddle.mean(global_loss) avg_loss._set_info('shard_logit', shard_logit) avg_loss._set_info('shard_prob', shard_prob) avg_loss._set_info('shard_label', shard_label) avg_loss._set_info('shard_dim', shard_dim) return avg_loss