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from abc import abstractmethod
from typing import Union
from torch import Tensor, tensor, randint, stack, cat, sparse, mm, where, empty, int
from torch.nn.functional import one_hot
class RecallData:
def __init__(self, **tensor_dict):
"""
data成员负责存储每一次召回的视频数据。结构:{feat_name: feat_vector(video_num,emb_dim)}
"""
self.data = tensor_dict
self.device = tensor_dict.values().__iter__().__next__().device
self.keys = list(tensor_dict.keys())
self.n_keys = len(self.keys)
self.n_data = len(self.data[self.keys.__iter__().__next__()])
self.kernel_matrix = self.build_kernel_matrix()
def __len__(self) -> int:
"""
返回recall数量。
"""
return self.n_data
def __getitem__(self, i) -> dict:
"""
对于recall后的第i个视频,返回其特征域的dict。
:param i: 下标。
:return: Tensor
"""
return {k: v[i] for k, v in self.data.items()}
@abstractmethod
def window_collide(self, index: list) -> dict:
pass
def slide_collide(self, index: list, window_size: int = 8, rule=None) -> Tensor:
"""
该函数滑动窗口,计算碰撞规则成功率。
:param index: list. 排好序的视频下标。
:param window_size: int. 滑动窗口大小
:param rule: list. 打散规则。
:return: Tensor. 每个特征的规则碰撞(打散失败)率
"""
video_num = len(index)
rule = tensor(rule) if rule else tensor([2, 3, 1])
slide_num = video_num - window_size + 1
feat_num = len(self.data)
collide_num = empty((feat_num, slide_num), dtype=int, device=self.device)
for j in range(slide_num):
running_collide = self.window_collide(index[j:j + window_size])
for i, feat in enumerate(self.keys):
collide_num[i][j] = (running_collide[feat] > rule[i] - 1)
return collide_num.sum(dim=1) / slide_num
@abstractmethod
def build_kernel_matrix(self):
pass
class RecallDataSparse(RecallData):
"""
该类负责实现数据结构,以one hot sparse形式存储。
"""
def __init__(self, **tensor_dict):
"""
data成员负责存储每一次召回的视频数据。结构:{feat_name: feat_vector(video_num,emb_dim)}
"""
super(RecallDataSparse, self).__init__(**tensor_dict)
def feat_stack(self, feat, index) -> Tensor:
"""
仅限存储格式为稀疏矩阵使用,解决稀疏矩阵切片访问问题。\n
给定具体特征域和下标index,返回在0轴堆叠好的稀疏矩阵。
:param feat: str. 特征。
:param index: index,指定访问下标。
:return: sparse Tensor. 稀疏张量。
"""
return stack([self.data[feat][i] for i in index])
def feats_stack(self, index) -> dict:
"""
仅限存储格式为稀疏矩阵使用,解决稀疏矩阵切片访问问题。 \n
给定下标index,返回所有特征域在0轴堆叠好的稀疏矩阵词典。
:param index: 可迭代对象,指定访问下标。
:return: sparse Tensor dict. 稀疏张量词典。
"""
return {feat: self.feat_stack(feat, index) for feat in self.keys}
def i(self, *index) -> dict:
"""
简化feats_stack方法名,提供一个友善的语法糖。
Example
---------
d.i(0) d.i([0]) \n
d.i(0,1,3) d.i([0,1,3])
:param index: list或多个int参数,指定访问下标。
:return: sparse Tensor dict. 稀疏张量词典。
"""
return self.feats_stack(index[0]) if type(index[0]) is list else self.feats_stack(index)
@staticmethod
def sparse_feat_mm(query: Tensor, window: Tensor) -> Tensor:
"""
Example
----------
query = d.feat_stack('music', [0, 1]) \n
window = d.feat_stack('music', [2, 3, 4]) \n
sparse_feat_mm(query, window) \n
output: tensor([0., 0.], device='cuda:0')
:param query: Tensor. 查询向量。
:param window: Tensor. 窗口内向量
:return: Tensor. 每个查询向量碰撞的次数。
"""
return sparse.mm(query, window.transpose(0, 1)).to_dense().sum(dim=1)
def sparse_feats_mm(self, query_dict: dict, window_dict: dict) -> dict:
"""
Example
-------
sparse_feats_mm(d.i([0,2]),d.i([1,2,3])) \n
output: \n
{'author': tensor([0., 1.], device='cuda:0'), \n
'category': tensor([0., 1.], device='cuda:0'), \n
'music': tensor([0., 1.], device='cuda:0')}
:param query_dict: dict. 查询向量词典。
:param window_dict: dict. 窗口向量词典。
:return: dict. 所有特征下每个查询向量碰撞的次数。
"""
return {k: self.sparse_feat_mm(query_dict[k], window_dict[k]) for k in self.keys}
def query_collide(self, query_list: list, window_list: list) -> dict:
"""
简化sparse_feats_mm方法名,提供一个友善的语法糖。
Example
-----------
print(d.query_collide([2, 2, 3], [1, 2, 2, 3])) \n
output: \n
{'author': tensor([2., 2., 1.], device='cuda:0'), \n
'category': tensor([2., 2., 1.], device='cuda:0'), \n
'music': tensor([4., 4., 4.], device='cuda:0')} \n
:param query_list: list. 查询向量的id list。
:param window_list: dict. 窗口向量的的id list。
:return: dict. 所有特征下每个查询向量碰撞的次数。
"""
return self.sparse_feats_mm(self.i(query_list), self.i(window_list))
def window_collide(self, index: list) -> dict:
"""
不同于(query,key)型的collide,该函数计算self-collide,用来计算窗口内的collide数量。
Example
--------
print(d.window_collide([1,1,2,1])) \n
output: \n
{'author': tensor(2., device='cuda:0'), \n
'category': tensor(2., device='cuda:0'), \n
'music': tensor(2., device='cuda:0')}
:param index: list. 指定窗口内视频id。
:return: dict. 所有特征的collide数量词典。
"""
res = {k: 0 for k in self.keys}
for k in self.data.keys():
t = self.i(index)[k].to_dense().sum(dim=0)
res[k] = where(t > 1, t - 1, tensor(0., device=t.device)).sum()
return res
def build_kernel_matrix(self):
"""
创建DPP核矩阵。
"""
feat_matrix = cat([self.data[k] for k in self.keys], dim=1) / len(self.keys)
kernel_matrix = sparse.mm(feat_matrix, feat_matrix.transpose(0, 1))
return kernel_matrix
class RecallDataDense(RecallData):
"""
该类负责实现数据结构,以one hot dense形式存储。
"""
def __init__(self, **tensor_dict):
"""
data成员负责存储每一次召回的视频数据。结构:{feat_name: feat_vector(video_num,emb_dim)}
"""
super(RecallDataDense, self).__init__(**tensor_dict)
def window_collide(self, index: list) -> dict:
"""
不同于(query,key)型的collide,该函数计算self-collide,用来计算窗口内的collide数量。
Example
--------
print(d.window_collide([1,1,2,1])) \n
output: \n
{'author': tensor(2., device='cuda:0'), \n
'category': tensor(2., device='cuda:0'), \n
'music': tensor(2., device='cuda:0')}
:param index: list. 指定窗口内视频id。
:return: dict. 所有特征的collide数量词典。
"""
res = {k: 0 for k in self.keys}
for k in self.keys:
t = self.__getitem__(index)[k].sum(dim=0)
res[k] = where(t > 1, t - 1, tensor(0., device=t.device)).sum()
return res
def build_kernel_matrix(self) -> Tensor:
"""
创建DPP核矩阵。
"""
feat_matrix = cat([self.data[k] for k in self.keys], dim=1) / len(self.keys)
kernel_matrix = mm(feat_matrix, feat_matrix.transpose(0, 1))
return kernel_matrix
class Recall:
"""
该类模拟召回行为。每调用一次recall方法,生成一次recall视频数据。
"""
def __init__(self, feat_names: list = None, feat_nums: list = None, device: str = 'cpu'):
"""
:param feat_names: list. 特征名。默认: ['author', 'category', 'music']
:param feat_nums: list. 对应的特征数量。默认: [1000, 30, 100]
:param device: str. 计算设备。默认:'cuda'
"""
self.feat_names = feat_names if feat_names else ['author', 'category', 'music']
self.feat_nums = feat_nums if feat_nums else [1000, 30, 100]
self.device = device
def recall(self, recall_num: int = 20, use_sparse=True) -> Union[RecallDataSparse, RecallDataDense]:
"""
调用recall方法,返回一个RecallData类。
:param recall_num: int. 每批次召回视频数量。默认:20
:param use_sparse: bool. 是否存储为稀疏矩阵。默认:True
:return: RecallData类。
"""
tensor_dict = {name: one_hot(randint(0, nums, (recall_num,), device=self.device), nums).float()
for name, nums in zip(self.feat_names, self.feat_nums)}
if use_sparse:
tensor_dict = {k: v.to_sparse() for k, v in tensor_dict.items()}
return RecallDataSparse(**tensor_dict)
else:
return RecallDataDense(**tensor_dict)
if __name__ == '__main__':
pass