本章主要針對pytorch0.4.0英文文檔的前兩節,順序可能有些不同:html
- torch
- torch.Tensor
張量 Tensors
Data type | CPU tensor | GPU tensor | type |
---|---|---|---|
32-bit floating point | torch.FloatTensor | torch.cuda.FloatTensor | torch.float32 |
64-bit floating point | torch.DoubleTensor | torch.cuda.DoubleTensor | torch.float64 |
16-bit floating point | N/A | torch.cuda.HalfTensor | torch.cuda.float16 |
8-bit integer (unsigned) | torch.ByteTensor | torch.cuda.ByteTensor | torch.uint8 |
8-bit integer (signed) | torch.CharTensor | torch.cuda.CharTensor | torch.int8 |
16-bit integer (signed) | torch.ShortTensor | torch.cuda.ShortTensor | torch.int16 |
32-bit integer (signed) | torch.IntTensor | torch.cuda.IntTensor | torch.int32 |
64-bit integer (signed) | torch.LongTensor | torch.cuda.LongTensor | torch.int64 |
- torch.is_stensor/torch.is_storage
- torch.set_default_tensor_type() 這個有用,若是大部分操做是GPU上構建的,可你把默認類型定爲cuda tensor
if torch.cuda.is_available(): if args.cuda: torch.set_default_tensor_type('torch.cuda.FloatTensor') if not args.cuda: print("WARNING: It looks like you have a CUDA device, but aren't " + "using CUDA.\nRun with --cuda for optimal training speed.") torch.set_default_tensor_type('torch.FloatTensor') else: torch.set_default_tensor_type('torch.FloatTensor')
- torch.numel(input)->int/numel() /nelement()
- torch.set_printoptions(precision=None, threshold=None, edgeitems=None, linewidth=None, profile=None) 打印選項
- torch.set_flush_denormal(mode) → bool 禁用cpu很是規浮點
>>> torch.set_flush_denormal(True) True >>> torch.tensor([1e-323], dtype=torch.float64) tensor([ 0.], dtype=torch.float64) >>> torch.set_flush_denormal(False) True >>> torch.tensor([1e-323], dtype=torch.float64) tensor(9.88131e-324 * [ 1.0000], dtype=torch.float64)
## 建立操做 Creation Ops
torch方法後綴_like :建立除了值之外的任何設置相同的tensor 包括:zeros,ones,empty, full,rand,randint,randnpython
- torch.tensor(data, dtype=None, device=None, requires_grad=False) → Tensor
- torch.from_numpy(ndarray) → Tensor
- torch.eye(n, m=None, out=None)
- torch.linspace(start, end, steps=100, out=None) → Tensor
- torch.logspace(start, end, steps=100, out=None) → Tensor
- torch.ones(*sizes, out=None) → Tensor
- torch.empty(*sizes, out=None, dtype=None, layout=torch.strided, device=None, requires_grad=False) → Tensor
- torch.reshape(input, shape) → Tensor 注意這是個坑,
- torch.rand(*sizes, out=None) → Tensor(均勻分佈)
- torch.randn(*sizes, out=None) → Tensor(正態分佈)
- torch.randperm(n, out=None) → LongTensor(隨機整數0,,,n-1)
- torch.randint(low=0, high, size, out=None, dtype=None, layout=torch.strided, device=None, requires_grad=False) → Tensor
- torch.arange(start, end, step=1, out=None) → Tensor/torch.range(start, end, step=1, out=None) → Tensor 一個包含末尾,一個不包含
- torch.zeros(*sizes, out=None) → Tensor
## 索引,切片,鏈接,編譯操做
這些操做絕大多數tensor自己也包含 tensor方法的通用後綴 _ inplace操做,多線程
- torch.cat(seq, dim=0, out=None) → Tensor/torch.stack(sequence, dim=0) 經常使用操做,一個是存在的維度上,一個是新的維度上(新建一個維度,已經存在的維度天然向後擠了)
- torch.split(tensor, split_size, dim=0)/torch.chunk(tensor, chunks, dim=0)/split()/chunk(),這兩個功能相近,一個是沿軸均分指定大小(若是沒法整除,最後一塊返回較小的塊),另外一個chunk是返回固定塊數(也是和split同樣,最後一塊返回較小塊)
a = torch.Tensor([1,2,3,4,5]) b = a.split(2) c = a.chunk(3)
- torch.gather(input, dim, index, out=None) → Tensor/gather(dim, index) 這個函數就很迷了,當時學習tensorflow時就研究了很久╮(╯﹏╰)╭,注意全部的index都是
torch.LongTensor
torch.gather(t, 1, torch.LongTensor([[0,0],[1,0]]))
- torch.index_select(input, dim, index, out=None) → Tensor/index_select(dim, index) f很是重要的函數
- torch.masked_select(input, mask, out=None) → Tensor/masked_select(mask) 注意全部mask都爲
torch.ByteTensor
,同時須要注意mask的shape不必定要和tensor相同數量也不必定要相同,shape中必須有一個軸要和tensor的軸對應,此時按此軸索引
a = torch.Tensor([[1,2,3],[4,5,6]]) mask = torch.Tensor([[1,0],[0,0],[1,0]]).type(torch.ByteTensor) mask_1 = torch.Tensor([[1],[0]]).type(torch.ByteTensor) mask_2 = torch.Tensor([0,1,1]).type(torch.ByteTensor) b = a.masked_select(mask)#error c = a.masked_select(mask_1) d = a.masked_select(mask_2)
- torch.nonzero(input, out=None) → LongTensor 注意是返回的高維索引
>>> torch.nonzero(torch.Tensor([[0.6, 0.0, 0.0, 0.0], ... [0.0, 0.4, 0.0, 0.0], ... [0.0, 0.0, 1.2, 0.0], ... [0.0, 0.0, 0.0,-0.4]])) 0 0 1 1 2 2 3 3 [torch.LongTensor of size 4x2]
- torch.squeeze(input, dim=None, out=None)/squeeze(dim=None) 超超超重要的函數
- torch.stack(sequence, dim=0)
- torch.t/t()
- torch.transpose(input, dim0, dim1, out=None) → Tensor/transpose() 交換任意兩個維度
- torch.take(input, indices) → Tensor 展開以後的tensor取索引
- tensor.permute(dims) 很是重要
x.permute(2, 0, 1)
- torch.unbind(tensor, dim=0) 移除指定維度,返回一個truple,包含了沿着指定維切片後的各個切片
- torch.unsqueeze(input, dim, out=None) 插入維度
- torch.where(condition, x, y) → Tensor 注意condition (ByteTensor)
隨機抽樣 Random sampling
- torch.manual_seed(seed)
- torch.initial_seed() 注意作對比實驗的時爲了控制變量,多線程載入數據時每一個線程的seed都須要嚴格設定
- torch.get_rng_state() ->(ByteTensor)
- torch.set_rng_state
- torch.default_generator
- torch.bernoulli(input, out=None) → Tensor伯努利投硬幣,經常使用於樣本的挖掘(hard example)
- torch.multinomial(input, num_samples,replacement=False, out=None) → Longtensor 多項分佈抽取樣本
- torch.normal(means, std, out=None) 離散正態分佈中抽取隨機數
torch.normal(means=torch.arange(1, 11), std=torch.arange(1, 0, -0.1)) 1.5104 1.6955 2.4895 4.9185 4.9895 6.9155 7.3683 8.1836 8.7164 9.8916 [torch.FloatTensor of size 10] >>> torch.normal(mean=0.5, std=torch.arange(1, 6)) 0.5723 0.0871 -0.3783 -2.5689 10.7893 [torch.FloatTensor of size 5] >>> torch.normal(means=torch.arange(1, 6)) 1.1681 2.8884 3.7718 2.5616 4.2500 [torch.FloatTensor of size 5]
序列化 Serialization
- torch.saves
- torch.load
並行化 Parallelism
- torch.get_num_threads
- torch.set_num_threads(int)
數學操做Math operations
tensor有所有的對應數學函數 挑幾個經常使用的:app
- ceil/floor/frac
- round
- torch.clamp(input, min, max, out=None) → Tensor 等價於tensorflow的tf.clip
- torch.argmax(input, dim=None, keepdim=False)/torch.argmin(input, dim=None, keepdim=False)
- torch.cumprod(input, dim, out=None) → Tensor $$y_i = x_1 \times x_2\times x_3\times \dots \times x_i$$/torch.prod(input, dim, keepdim=False, out=None) → Tensor
- torch.cumsum(input, dim, out=None) → Tensor 同上
- torch.dist(input, other, p=2) → Tensor p範數/torch.norm(input, p, dim, keepdim=False, out=None) → Tensor
-
- torch.mean(input, dim, keepdim=False, out=None) → Tensor 注意keep_dim是是否保持維度不變
>>> a = torch.randn(4, 4) >>> a tensor([[-0.3841, 0.6320, 0.4254, -0.7384], [-0.9644, 1.0131, -0.6549, -1.4279], [-0.2951, -1.3350, -0.7694, 0.5600], [ 1.0842, -0.9580, 0.3623, 0.2343]]) >>> torch.mean(a, 1) tensor([-0.0163, -0.5085, -0.4599, 0.1807]) >>> torch.mean(a, 1, True) tensor([[-0.0163], [-0.5085], [-0.4599], [ 0.1807]])
- torch.median() 返回中間值
>>> a = torch.randn(1, 3) >>> a tensor([[ 1.5219, -1.5212, 0.2202]]) >>> torch.median(a) tensor(0.2202)
- torch.median(input, dim=-1, keepdim=False, values=None, indices=None) -> (Tensor, LongTensor)
>>> a = torch.randn(4, 5) >>> a tensor([[ 0.2505, -0.3982, -0.9948, 0.3518, -1.3131], [ 0.3180, -0.6993, 1.0436, 0.0438, 0.2270], [-0.2751, 0.7303, 0.2192, 0.3321, 0.2488], [ 1.0778, -1.9510, 0.7048, 0.4742, -0.7125]]) >>> torch.median(a, 1) (tensor([-0.3982, 0.2270, 0.2488, 0.4742]), tensor([ 1, 4, 4, 3]))
- torch.std(input, dim, keepdim=False, unbiased=True, out=None) → Tensor/torch.var(input, dim, keepdim=False, unbiased=True, out=None) → Tensor 標準差和方差
- torch.sum(input, dim, keepdim=False, out=None) → Tensor
- torch.unique(input, sorted=False, return_inverse=False) 元素去重(只能是1D tensor)
Comparison Ops
- torch.eq(input, other, out=None) → Tensor other必須能廣播,返回mask
- torch.equal(tensor1, tensor2) → bool
- torch.ge/gt/le/lt/ne/ ≥/>/≤/<
- torch.topk(input, k, dim=None, largest=True, sorted=True, out=None) -> (Tensor, LongTensor)/torch.kthvalue(input, k, dim=None, keepdim=False, out=None) -> (Tensor, LongTensor)
- torch.max(input) → Tensor
- torch.max(input, dim, keepdim=False, out=None) -> (Tensor, LongTensor)
- torch.max(input, other, out=None) → Tensor
>>> a = torch.randn(4) >>> a tensor([ 0.2942, -0.7416, 0.2653, -0.1584]) >>> b = torch.randn(4) >>> b tensor([ 0.8722, -1.7421, -0.4141, -0.5055]) >>> torch.max(a, b) tensor([ 0.8722, -0.7416, 0.2653, -0.1584])
- torch.min()也有三種方法,使用同max
- torch.sort(input, dim=None, descending=False, out=None) -> (Tensor, LongTensor)
BLAS and LAPACK Operations
各類矩陣的基礎運算 ##Spectral Ops 終於算是加上了。。dom
Tensor獨有的Ops
tensor的前綴new_方法,是固定變量賦值,適用於ones,zeros,full,tensor(坑)ide
>>> tensor = torch.ones((2,), dtype=torch.int8) >>> data = [[0, 1], [2, 3]] >>> tensor.new_tensor(data) tensor([[ 0, 1],[ 2, 3]], dtype=torch.int8)
- torch.Tensor.item() 坑,注意只能是一個值,適合返回loss,acc等
- apply_(callable) → Tensor(相似於map,python層面的cpu funtion,效率低)
- cauchy_(median=0, sigma=1, *, generator=None) → Tensor
- char(),byte(),double() ,int()
- clone() /copy() 第一個是徹底克隆,第二個是可廣播的數值
- contiguous() → Tensor 一些op爲了高效運算,默認實現連續內存運算需求的,這時候要保證tensor的連續存儲
- is_contiguous() → bool/is_pinned()/is_cuda/is_pinned()/is_signed()
- cpu()/cuda()
- dim()
- device
- element_size() → int 返回變量類型的內存佔用字節
- expand(*sizes) → Tensor 重要:擴展dim維1的軸
>>> x = torch.tensor([[1], [2], [3]]) >>> x.size() torch.Size([3, 1]) >>> x.expand(3, 4) tensor([[ 1, 1, 1, 1], [ 2, 2, 2, 2], [ 3, 3, 3, 3]]) >>> x.expand(-1, 4) # -1 means not changing the size of that dimension tensor([[ 1, 1, 1, 1], [ 2, 2, 2, 2], [ 3, 3, 3, 3]])
- index_copy_(dim, index, tensor) → Tensor 按索引複製元素
>>> x = torch.zeros(5, 3) >>> t = torch.tensor([[1, 2, 3], [4, 5, 6], [7, 8, 9]], dtype=torch.float) >>> index = torch.tensor([0, 4, 2]) >>> x.index_copy_(0, index, t) tensor([[ 1., 2., 3.], [ 0., 0., 0.], [ 7., 8., 9.], [ 0., 0., 0.], [ 4., 5., 6.]])
- index_fill_(dim, index, val) → Tensor
- map_(tensor, callable) Applies callable for each element in self tensor and the given tensor and stores the results in self tensor. self tensor and the given tensor must be broadcastable. (待續)
一些坑
- new_tensor 會新建變量,use torch.Tensor.requires_grad_() or torch.Tensor.detach()
- mask_select index_select也會新建變量
- reshape,resize,review (待續)