def test_benchmark_forward_backward(self): N = 12 H = 8 L = 1024 S = 1024 E = 32 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device).requires_grad_(True) K = torch.randn(N, H, S, E).to(self.device).requires_grad_(True) lengths = torch.full((N,), L).int().to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) Q_grouped = aggregate(Q, groups, 1/counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() self._zero_grad(Q, K) for i in range(2000): QK = torch.einsum("nhle,nhse->nhls", Q, K) QK.sum().backward() self._zero_grad(Q, K) s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() QK = torch.einsum("nhle,nhse->nhls", Q, K) QK.sum().backward() e.record() torch.cuda.synchronize() t_full = s.elapsed_time(e) self._zero_grad(Q, K) for i in range(2000): QK = clustered_sparse_dot_product( Q, K, topk, groups, counts, lengths ) QK.sum().backward() self._zero_grad(Q, K) s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() QK = clustered_sparse_dot_product( Q, K, topk, groups, counts, lengths ) QK.sum().backward() e.record() torch.cuda.synchronize() t_sparse = s.elapsed_time(e) print("Benchmark Forward-Backward: T_Full: {}, T_Sparse: {}".format(t_full, t_sparse))
def test_small_benchmark(self): N = 12 H = 8 L = 1024 E = 64 S = 1024 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device) K = torch.randn(N, H, S, E).to(self.device) lengths = torch.full((N, ), L, dtype=torch.int32).to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) sorted_g, sorted_gi = torch.sort(groups.view(N * H, -1), dim=-1) sorted_rev_gi = torch.argsort(sorted_gi, dim=-1) q_offset = torch.arange(N * H, device=Q.device).unsqueeze(-1) * L q_flat = (sorted_gi + q_offset).reshape(-1) # sorted queries, keys, values s_queries = Q.reshape(-1, E).index_select(0, q_flat).view(N, H, L, E) Q_grouped = aggregate(s_queries, sorted_g.view(N, H, L), 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() products_sorted = clustered_sparse_dot_product(s_queries, K, topk, groups, counts, lengths) q_rev_flat = (sorted_rev_gi + q_offset).reshape(-1) products = products_sorted.reshape(-1, k).index_select(0, q_rev_flat) products = products.view(N, H, L, k) for i in range(1000): products_sorted = clustered_sparse_dot_product( s_queries, K, topk, groups, counts, lengths) torch.cuda.synchronize() s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() products_sorted = clustered_sparse_dot_product(s_queries, K, topk, groups, counts, lengths) e.record() torch.cuda.synchronize() t_sc = s.elapsed_time(e) products_sorted = products_sorted.reshape(-1, k).index_select( 0, q_rev_flat).view(N, H, L, k) topk = topk.contiguous() print("Sparse_Clustered: {}".format(t_sc))
def test_small_benchmark(self): N = 12 H = 8 L = 1000 E = 32 S = 1000 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device) K = torch.randn(N, H, S, E).to(self.device) lengths = torch.full((N, ), L).int().to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) Q_grouped = aggregate(Q, groups, 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() products = torch.zeros((N, H, L, k), dtype=torch.float32).to(self.device) products = clustered_sparse_dot_product(Q, K, topk, groups, counts, lengths) n_runs = 10 s = time.time() for i in range(n_runs): products = clustered_sparse_dot_product(Q, K, topk, groups, counts, lengths) e = time.time() t_sc = (e - s) / n_runs topk_broadcast = broadcast( topk.float(), groups, torch.ones_like(counts, dtype=torch.float32), torch.zeros((N, H, L, k), device=Q.device)) s = time.time() for i in range(n_runs): products = sparse_dot_product(Q, K, topk_broadcast.long()) e = time.time() t_s = (e - s) / n_runs s = time.time() for i in range(n_runs): torch.einsum("nhle,nhse->nhls", Q, K) e = time.time() t_f = (e - s) / n_runs print("Sparse_Clustered: {}, Sparse: {}, Full: {}".format( t_sc, t_s, t_f))
def test_simple_product(self): N = 2 H = 2 L = 1000 E = 32 S = 1000 k = 32 C = 50 I = 5 B = 16 Q = torch.randn(N, H, L, E).to(self.device) K = torch.randn(N, H, S, E).to(self.device) lengths = torch.full((N, ), L).int().to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) Q_grouped = aggregate(Q, groups, 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() products = clustered_sparse_dot_product(Q, K, topk, groups, counts, lengths) topk_broadcast = broadcast( topk.float(), groups, torch.ones_like(counts, dtype=torch.float32), torch.zeros((N, H, L, k), device=Q.device)) all_products = torch.einsum("nhle,nhse->nhls", Q, K) products_2 = all_products[torch.arange(N).view(N, 1, 1, 1), torch.arange(H).view(1, H, 1, 1), torch.arange(L).view(1, 1, L, 1), topk_broadcast.long()] self.assertLess(torch.max(torch.abs(products_2 - products)), 1e-4)
def test_simple_grad(self): N = 2 H = 2 L = 1000 E = 32 S = 1000 k = 32 C = 50 I = 5 B = 16 Q = torch.randn(N, H, L, E).to(self.device).requires_grad_(True) K = torch.randn(N, H, S, E).to(self.device).requires_grad_(True) lengths = torch.full((N,), L).int().to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) Q_grouped = aggregate(Q, groups, 1/counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() topk_broadcast = broadcast( topk.float(), groups, torch.ones_like(counts, dtype=torch.float32), torch.zeros((N, H, L, k), device=Q.device) ) self._zero_grad(Q, K) QK_full = torch.einsum("nhle,nhse->nhls", Q, K) QK_selected = QK_full[ torch.arange(N).view(N, 1, 1, 1).to(self.device), torch.arange(H).view(1, H, 1, 1).to(self.device), torch.arange(L).view(1, 1, L, 1).to(self.device), topk_broadcast.long() ] QK_selected.sum().backward() grad = [torch.clone(Q.grad), torch.clone(K.grad)] self._zero_grad(Q, K) QK_selected_hat = clustered_sparse_dot_product( Q, K, topk, groups, counts, lengths ) QK_selected_hat.sum().backward() grad_hat = [torch.clone(Q.grad), torch.clone(K.grad)] self.assertLess( torch.abs(QK_selected - QK_selected_hat).max(), 1e-4 ) for g1, g2 in zip(grad, grad_hat): self.assertLess( torch.abs(g1 - g2).max(), 1e-4 )
def test_small_forward(self): N = 12 H = 8 L = 2000 S = 2000 E = 32 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device) K = torch.randn(N, H, S, E).to(self.device) lengths = torch.full((N, ), L, dtype=torch.int32).to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) sorted_g, sorted_gi = torch.sort(groups.view(N * H, -1), dim=-1) sorted_rev_gi = torch.argsort(sorted_gi, dim=-1) q_offset = torch.arange(N * H, device=Q.device).unsqueeze(-1) * L q_flat = (sorted_gi + q_offset).reshape(-1) s_queries = Q.reshape(-1, E).index_select(0, q_flat).view(N, H, L, E) Q_grouped = aggregate(s_queries, sorted_g.view(N, H, L), 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() topk_broadcast = broadcast( topk.float(), groups, torch.ones_like(counts, dtype=torch.float32), torch.zeros((N, H, L, k), device=Q.device)) weights_sorted = clustered_sparse_dot_product(s_queries, K, topk, groups, counts, lengths) q_rev_flat = (sorted_rev_gi + q_offset).reshape(-1) weights = weights_sorted.reshape(-1, k).index_select(0, q_rev_flat).view( N, H, L, k) values = torch.randn(N, H, S, E).to(self.device) for i in range(2000): output_hat = clustered_sparse_weighted_average( weights_sorted, values, topk, groups, counts) s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() output_hat = clustered_sparse_weighted_average(weights, values, topk, groups, counts) e.record() torch.cuda.synchronize() t_sparse = s.elapsed_time(e) print('T_sparse Forward:{}'.format(t_sparse))
def test_benchmark_forward_backward(self): N = 12 H = 8 L = 1024 S = 1024 E = 32 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device).requires_grad_(True) K = torch.randn(N, H, S, E).to(self.device).requires_grad_(True) lengths = torch.full((N,), L, dtype=torch.int32).to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) Q_grouped = aggregate(Q, groups, 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() self._zero_grad(Q, K) n_runs = 10 s = time.time() for i in range(n_runs): QK = torch.einsum("nhle,nhse->nhls", Q, K) QK.sum().backward() e = time.time() t_full = (e - s) / n_runs self._zero_grad(Q, K) s = time.time() for i in range(n_runs): QK = clustered_sparse_dot_product( Q, K, topk, groups, counts, lengths ) QK.sum().backward() e = time.time() t_sparse = (e - s) / n_runs print("Benchmark Forward-Backward: T_Full: {}, T_Sparse: {}".format(t_full, t_sparse))
def sparse_product(Q, K, groups, topk, counts, lengths, k, Q_grouped_orig): N, H, L, E = Q.shape sorted_g, sorted_gi = torch.sort(groups.view(N * H, -1), dim=-1) sorted_rev_gi = torch.argsort(sorted_gi, dim=-1) q_offset = torch.arange(N * H, device=Q.device).unsqueeze(-1) * L q_flat = (sorted_gi + q_offset).reshape(-1) # rearrage queries s_queries = Q.reshape(-1, E).index_select(0, q_flat).view(N, H, L, E) Q_grouped = clustered_aggregate(s_queries, sorted_g.view(N, H, L), 1 / counts.float(), lengths) topk = topk.contiguous() products_sorted = clustered_sparse_dot_product(s_queries, K, topk, groups, counts, lengths) q_rev_flat = (sorted_rev_gi + q_offset).reshape(-1) products = products_sorted.reshape(-1, k).index_select(0, q_rev_flat) products = products.view(N, H, L, k) return products, Q_grouped
def test_small_benchmark(self): N = 12 H = 8 L = 1000 E = 32 S = 1000 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device) K = torch.randn(N, H, S, E).to(self.device) lengths = torch.full((N,), L, dtype=torch.int32).to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) Q_grouped = aggregate(Q, groups, 1/counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() products = torch.zeros((N, H, L, k), dtype=torch.float32).to(self.device) products = clustered_sparse_dot_product(Q, K, topk, groups, counts, lengths) for i in range(1000): products = clustered_sparse_dot_product( Q, K, topk, groups, counts, lengths ) torch.cuda.synchronize() s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() products = clustered_sparse_dot_product( Q, K, topk, groups, counts, lengths ) e.record() torch.cuda.synchronize() t_sc = s.elapsed_time(e) topk_broadcast = broadcast( topk.float(), groups, torch.ones_like(counts, dtype=torch.float32), torch.zeros((N, H, L, k), device=Q.device) ) for i in range(1000): products = sparse_dot_product( Q, K, topk_broadcast.long() ) torch.cuda.synchronize() s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() products_s = sparse_dot_product( Q, K, topk_broadcast.long(), ) e.record() torch.cuda.synchronize() t_s = s.elapsed_time(e) for i in range(1000): torch.einsum("nhle,nhse->nhls", Q, K) s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) s.record() torch.einsum("nhle,nhse->nhls", Q, K) e.record() torch.cuda.synchronize() t_f = s.elapsed_time(e) print("Sparse_Clustered: {}, Sparse: {}, Full: {}".format(t_sc, t_s, t_f))
def test_benchmark_backward(self): N = 12 H = 8 L = 1024 S = 1024 E = 64 k = 32 C = 100 I = 10 B = 32 Q = torch.randn(N, H, L, E).to(self.device).requires_grad_(True) K = torch.randn(N, H, S, E).to(self.device).requires_grad_(True) lengths = torch.full((N, ), L, dtype=torch.int32).to(self.device) self._zero_grad(Q, K) for i in range(100): QK = torch.einsum("nhle,nhse->nhls", Q, K) self._zero_grad(Q, K) s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) QK = torch.einsum("nhle,nhse->nhls", Q, K) s.record() QK.sum().backward() e.record() torch.cuda.synchronize() t_full = s.elapsed_time(e) self._zero_grad(Q, K) groups, counts = cluster_queries(Q, lengths, C, I, B) sorted_g, sorted_gi = torch.sort(groups.view(N * H, -1), dim=-1) sorted_rev_gi = torch.argsort(sorted_gi, dim=-1) q_offset = torch.arange(N * H, device=Q.device).unsqueeze(-1) * L q_flat = (sorted_gi + q_offset).reshape(-1) s_queries = Q.reshape(-1, E).index_select(0, q_flat).view(N, H, L, E) Q_grouped = aggregate(Q, groups, 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() products_sorted = clustered_sparse_dot_product(s_queries, K, topk, groups, counts, lengths) q_rev_flat = (sorted_rev_gi + q_offset).reshape(-1) products = products_sorted.reshape(-1, k).index_select(0, q_rev_flat).view( N, H, L, k) for i in range(100): QK = clustered_sparse_dot_product(s_queries, K, topk, groups, counts, lengths) QK = QK.reshape(-1, k).index_select(0, q_rev_flat).view(N, H, L, k) self._zero_grad(Q, K) s = torch.cuda.Event(enable_timing=True) e = torch.cuda.Event(enable_timing=True) QK = clustered_sparse_dot_product(Q, K, topk, groups, counts, lengths) QK = QK.reshape(-1, k).index_select(0, q_rev_flat).view(N, H, L, k) s.record() QK.sum().backward() e.record() torch.cuda.synchronize() t_sparse = s.elapsed_time(e) print("Benchmark Backward: T_Full: {}, T_Sparse: {}".format( t_full, t_sparse))
def test_forward(self): N = 6 H = 5 L = 100 S = 100 E = 32 C = 10 I = 10 B = 32 k = 5 for exp in range(30): C = np.random.randint(10, 500) L = np.random.randint(C, 2000) E = np.random.randint(10, 128) S = np.random.randint(100, 1000) k = np.random.randint(10, 64) if os.getenv("VERBOSE_TESTS", ""): print(("Testing: N H L S E C k: " "{} {} {} {} {} {} {}").format(N, H, L, S, E, C, k)) Q = torch.randn(N, H, L, E).to(self.device) K = torch.randn(N, H, S, E).to(self.device) lengths = torch.full((N, ), L, dtype=torch.int32).to(self.device) groups, counts = cluster_queries(Q, lengths, C, I, B) sorted_g, sorted_gi = torch.sort(groups.view(N * H, -1), dim=-1) sorted_rev_gi = torch.argsort(sorted_gi, dim=-1) q_offset = torch.arange(N * H, device=Q.device).unsqueeze(-1) * L q_flat = (sorted_gi + q_offset).reshape(-1) s_queries = Q.reshape(-1, E).index_select(0, q_flat).view(N, H, L, E) Q_grouped = aggregate(s_queries, sorted_g.view(N, H, L), 1 / counts.float()) QK = torch.einsum("nhle,nhse->nhls", Q_grouped, K) _, topk = torch.topk(QK, k, dim=-1) topk = topk.contiguous() topk_broadcast = broadcast( topk.float(), groups, torch.ones_like(counts, dtype=torch.float32), torch.zeros((N, H, L, k), device=Q.device)) weights_sorted = clustered_sparse_dot_product( s_queries, K, topk, groups, counts, lengths) weights = torch.softmax(weights_sorted, dim=-1) q_rev_flat = (sorted_rev_gi + q_offset).reshape(-1) weights = weights_sorted.reshape(-1, k).index_select( 0, q_rev_flat).view(N, H, L, k) values = torch.randn(N, H, S, E).to(self.device).requires_grad_(True) values_selected = values[ torch.arange(N).view(N, 1, 1, 1).to(self.device), torch.arange(H).view(1, H, 1, 1).to(self.device), topk_broadcast.long()] output = (weights.unsqueeze(-1) * values_selected).sum(-2) output_hat_sorted = clustered_sparse_weighted_average( weights_sorted, values, topk, groups, counts) output_hat = output_hat_sorted.reshape(-1, E).index_select( 0, q_rev_flat).view(N, H, L, E) self.assertLess(torch.abs(output_hat - output).max(), 1e-3)