def forward(self, input: Tensor, target: Tensor) -> Tensor: dist_euc = LA.norm(input - target, dim=1) norm_input = LA.norm(input, dim=1) norm_target = LA.norm(target, dim=1) dist_hype = torch.acosh(1 + 2 * dist_euc**2 / ((1 - norm_input**2) * (1 - norm_target**2))) loss = torch.mean(dist_hype) return loss
def hyperboloid_distance(x, y, include_arcosh=False): """ The distance is with the arccosh, but if we have to compute cosh on top of it, it is better to default without it """ q_func = lambda x: -x[:-1].pow(2).sum() + x[-1].pow(2).sum() d = (q_func(x + y) - q_func(x) - q_func(y)) / 2 if include_arcosh: d = torch.acosh(d) return d
def poincare_distance(pred, gt): ''' Calculate pair-wise poincare distance between each row in two input tensors See equation (1) in this paper for mathematical expression: https://arxiv.org/abs/1705.08039 ''' (N_pred, D) = pred.shape (N_gt, D) = gt.shape a = (1 - square_norm(pred)).view(N_pred, 1) b = (1 - square_norm(gt)).view(1, N_gt) return torch.acosh(1 + 2 * pairwise_distances(pred, gt) / torch.matmul(a, b))
def forward(self, output, target): """ Computes the phylogenetic distance loss Parameters ---------- output the output of a network target the square root of the patristic distances """ # compute hyperbolic distance output = output.double() s = torch.sqrt(1 + torch.sum(output**2, dim=1)) B = torch.outer(s, s) B -= output.matmul(output.T) B[(B - 1.0).abs() < self.tol] = 1.0 dist = torch.acosh(B) # compute mean absolute error n = output.shape[0] loss = (dist - target).abs().tril(diagonal=-1).sum() / (n * (n - 1)) return loss
def pointwise_ops(self): a = torch.randn(4) b = torch.randn(4) t = torch.tensor([-1, -2, 3], dtype=torch.int8) r = torch.tensor([0, 1, 10, 0], dtype=torch.int8) t = torch.tensor([-1, -2, 3], dtype=torch.int8) s = torch.tensor([4, 0, 1, 0], dtype=torch.int8) f = torch.zeros(3) g = torch.tensor([-1, 0, 1]) w = torch.tensor([0.3810, 1.2774, -0.2972, -0.3719, 0.4637]) return ( torch.abs(torch.tensor([-1, -2, 3])), torch.absolute(torch.tensor([-1, -2, 3])), torch.acos(a), torch.arccos(a), torch.acosh(a.uniform_(1.0, 2.0)), torch.add(a, 20), torch.add(a, torch.randn(4, 1), alpha=10), torch.addcdiv(torch.randn(1, 3), torch.randn(3, 1), torch.randn(1, 3), value=0.1), torch.addcmul(torch.randn(1, 3), torch.randn(3, 1), torch.randn(1, 3), value=0.1), torch.angle(a), torch.asin(a), torch.arcsin(a), torch.asinh(a), torch.arcsinh(a), torch.atan(a), torch.arctan(a), torch.atanh(a.uniform_(-1.0, 1.0)), torch.arctanh(a.uniform_(-1.0, 1.0)), torch.atan2(a, a), torch.bitwise_not(t), torch.bitwise_and(t, torch.tensor([1, 0, 3], dtype=torch.int8)), torch.bitwise_or(t, torch.tensor([1, 0, 3], dtype=torch.int8)), torch.bitwise_xor(t, torch.tensor([1, 0, 3], dtype=torch.int8)), torch.ceil(a), torch.clamp(a, min=-0.5, max=0.5), torch.clamp(a, min=0.5), torch.clamp(a, max=0.5), torch.clip(a, min=-0.5, max=0.5), torch.conj(a), torch.copysign(a, 1), torch.copysign(a, b), torch.cos(a), torch.cosh(a), torch.deg2rad( torch.tensor([[180.0, -180.0], [360.0, -360.0], [90.0, -90.0]])), torch.div(a, b), torch.divide(a, b, rounding_mode="trunc"), torch.divide(a, b, rounding_mode="floor"), torch.digamma(torch.tensor([1.0, 0.5])), torch.erf(torch.tensor([0.0, -1.0, 10.0])), torch.erfc(torch.tensor([0.0, -1.0, 10.0])), torch.erfinv(torch.tensor([0.0, 0.5, -1.0])), torch.exp(torch.tensor([0.0, math.log(2.0)])), torch.exp2(torch.tensor([0.0, math.log(2.0), 3.0, 4.0])), torch.expm1(torch.tensor([0.0, math.log(2.0)])), torch.fake_quantize_per_channel_affine( torch.randn(2, 2, 2), (torch.randn(2) + 1) * 0.05, torch.zeros(2), 1, 0, 255, ), torch.fake_quantize_per_tensor_affine(a, 0.1, 0, 0, 255), torch.float_power(torch.randint(10, (4, )), 2), torch.float_power(torch.arange(1, 5), torch.tensor([2, -3, 4, -5])), torch.floor(a), # torch.floor_divide(torch.tensor([4.0, 3.0]), torch.tensor([2.0, 2.0])), # torch.floor_divide(torch.tensor([4.0, 3.0]), 1.4), torch.fmod(torch.tensor([-3, -2, -1, 1, 2, 3]), 2), torch.fmod(torch.tensor([1, 2, 3, 4, 5]), 1.5), torch.frac(torch.tensor([1.0, 2.5, -3.2])), torch.randn(4, dtype=torch.cfloat).imag, torch.ldexp(torch.tensor([1.0]), torch.tensor([1])), torch.ldexp(torch.tensor([1.0]), torch.tensor([1, 2, 3, 4])), torch.lerp(torch.arange(1.0, 5.0), torch.empty(4).fill_(10), 0.5), torch.lerp( torch.arange(1.0, 5.0), torch.empty(4).fill_(10), torch.full_like(torch.arange(1.0, 5.0), 0.5), ), torch.lgamma(torch.arange(0.5, 2, 0.5)), torch.log(torch.arange(5) + 10), torch.log10(torch.rand(5)), torch.log1p(torch.randn(5)), torch.log2(torch.rand(5)), torch.logaddexp(torch.tensor([-1.0]), torch.tensor([-1, -2, -3])), torch.logaddexp(torch.tensor([-100.0, -200.0, -300.0]), torch.tensor([-1, -2, -3])), torch.logaddexp(torch.tensor([1.0, 2000.0, 30000.0]), torch.tensor([-1, -2, -3])), torch.logaddexp2(torch.tensor([-1.0]), torch.tensor([-1, -2, -3])), torch.logaddexp2(torch.tensor([-100.0, -200.0, -300.0]), torch.tensor([-1, -2, -3])), torch.logaddexp2(torch.tensor([1.0, 2000.0, 30000.0]), torch.tensor([-1, -2, -3])), torch.logical_and(r, s), torch.logical_and(r.double(), s.double()), torch.logical_and(r.double(), s), torch.logical_and(r, s, out=torch.empty(4, dtype=torch.bool)), torch.logical_not(torch.tensor([0, 1, -10], dtype=torch.int8)), torch.logical_not( torch.tensor([0.0, 1.5, -10.0], dtype=torch.double)), torch.logical_not( torch.tensor([0.0, 1.0, -10.0], dtype=torch.double), out=torch.empty(3, dtype=torch.int16), ), torch.logical_or(r, s), torch.logical_or(r.double(), s.double()), torch.logical_or(r.double(), s), torch.logical_or(r, s, out=torch.empty(4, dtype=torch.bool)), torch.logical_xor(r, s), torch.logical_xor(r.double(), s.double()), torch.logical_xor(r.double(), s), torch.logical_xor(r, s, out=torch.empty(4, dtype=torch.bool)), torch.logit(torch.rand(5), eps=1e-6), torch.hypot(torch.tensor([4.0]), torch.tensor([3.0, 4.0, 5.0])), torch.i0(torch.arange(5, dtype=torch.float32)), torch.igamma(a, b), torch.igammac(a, b), torch.mul(torch.randn(3), 100), torch.multiply(torch.randn(4, 1), torch.randn(1, 4)), torch.mvlgamma(torch.empty(2, 3).uniform_(1.0, 2.0), 2), torch.tensor([float("nan"), float("inf"), -float("inf"), 3.14]), torch.nan_to_num(w), torch.nan_to_num(w, nan=2.0), torch.nan_to_num(w, nan=2.0, posinf=1.0), torch.neg(torch.randn(5)), # torch.nextafter(torch.tensor([1, 2]), torch.tensor([2, 1])) == torch.tensor([eps + 1, 2 - eps]), torch.polygamma(1, torch.tensor([1.0, 0.5])), torch.polygamma(2, torch.tensor([1.0, 0.5])), torch.polygamma(3, torch.tensor([1.0, 0.5])), torch.polygamma(4, torch.tensor([1.0, 0.5])), torch.pow(a, 2), torch.pow(torch.arange(1.0, 5.0), torch.arange(1.0, 5.0)), torch.rad2deg( torch.tensor([[3.142, -3.142], [6.283, -6.283], [1.570, -1.570]])), torch.randn(4, dtype=torch.cfloat).real, torch.reciprocal(a), torch.remainder(torch.tensor([-3.0, -2.0]), 2), torch.remainder(torch.tensor([1, 2, 3, 4, 5]), 1.5), torch.round(a), torch.rsqrt(a), torch.sigmoid(a), torch.sign(torch.tensor([0.7, -1.2, 0.0, 2.3])), torch.sgn(a), torch.signbit(torch.tensor([0.7, -1.2, 0.0, 2.3])), torch.sin(a), torch.sinc(a), torch.sinh(a), torch.sqrt(a), torch.square(a), torch.sub(torch.tensor((1, 2)), torch.tensor((0, 1)), alpha=2), torch.tan(a), torch.tanh(a), torch.trunc(a), torch.xlogy(f, g), torch.xlogy(f, g), torch.xlogy(f, 4), torch.xlogy(2, g), )
def acosh(x): return _torch.acosh(x)
'asin': lambda x: torch.asin(x), 'acos': lambda x: torch.acos(x), 'atan': lambda x: torch.atan(x), 'sinh': lambda x: torch.sinh(x), 'cosh': lambda x: torch.cosh(x), 'tanh': lambda x: torch.tanh(x), 'asinh': lambda x: torch.asinh(x), 'acosh': lambda x: torch.acosh(x), 'atanh': lambda x: torch.atanh(x), 'tile': lambda input, repeats: input.repeat(*repeats), 'pad': nnef_pad, 'cast': nnef_cast, 'gather': nnef_gather, 'any_reduce': lambda input, axes: _nnef_generic_reduce(input, axes=axes, f=torch.any), 'all_reduce': lambda input, axes: _nnef_generic_reduce(input, axes=axes, f=torch.all), }
import math a = torch.randn(4) b = torch.randn(4) t = torch.tensor([-1, -2, 3], dtype=torch.int8) # abs/absolute torch.abs(torch.tensor([-1, -2, 3])) torch.absolute(torch.tensor([-1, -2, 3])) # acos/arccos torch.acos(a) torch.arccos(a) # acosh/arccosh torch.acosh(a.uniform_(1, 2)) # add torch.add(a, 20) torch.add(a, torch.randn(4, 1), alpha=10) # addcdiv torch.addcdiv(torch.randn(1, 3), torch.randn(3, 1), torch.randn(1, 3), value=0.1) # addcmul torch.addcmul(torch.randn(1, 3), torch.randn(3, 1), torch.randn(1, 3),