This approach is based on the estimates of the Laplace-Beltrami operator proposed in the diffusion-map theory. Analytical convergence results of the Riemannian gradient expansion are proved. The methodology provides a new algorithm to compute the gradient in cases where classical methods for numerical ...
In particular, the celebrated PageRank algorithm [5,6] essentially uses the stationary distribution of a random walk on the link structure of the web in order to rank web documents in terms of relative importance. Several variations around this theme appear in the literature [7,8], where, ...
img = resize_image(input_image, image_resolution) H, W, C = img.shape detected_map = cv2.resize(detected_map, (W, H), interpolation=cv2.INTER_NEAREST) control = torch.from_numpy(detected_map.copy()).float().cuda() / 255.0 control = torch.stack([control for _ in range(num_samples...
For this purpose we use the Kuhn–Munkres algorithm, commonly referred to as the Hungarian algorithm28,29. The Hungarian algorithm is used to find a minimum weight matching in the bipartite graph where nodes and positions are vertices and \(E_{ij}\) is the weight of the edge that can be...
# Algorithm 2 line 4: return model_mean + torch.sqrt(posterior_variance_t) * noise # Algorithm 2 (including returning all images) @torch.no_grad() def p_sample_loop(model, shape): device = next(model.parameters()).device b = shape[0] ...
一个学习得到的去噪声过程pθ(a learned reverse denoising diffusion process): 训练一个神经网络去逐渐地从一张纯噪声中消除噪声,直到得到一张真正的图片。 前向与后向的步数由下标t定义,并且有预先定义好的总步数T(DDPM原文中为1000)。 t=0时为从数据集中采样得到的一张真实图片,t=T时近似为一张纯粹的噪声...
Because no prompt is available, the ControlNet encoder will "guess" what is in the control map. Sometimes the guess result is really interesting. Because diffusion algorithm can essentially give multiple results, the ControlNet seems able to give multiple guesses, like this: ...
For every pixel (i, j) of an image I k (x, y) the algorithm computes the local ACF Gij m (ξ, η) of a sub-image of size m × m around that pixel. The 2D-ACF is calculated by a 2D-FFT (fast fourier transform) on the sub-image and then averaged over N frames in or...
This method was applied and a chaotic map generator obtained. Then an encryption algorithm into which the above chaotic map was combined to the image characteristics, to generate both the encryption keys and the random numbers needed for the encryption process. The encryption procedure consisted in ...
The official PyTorch implementation of Universal Guidance for Diffusion Models. This repository has python implementation of universal guidance algorithm that enables controlling diffusion models by arbitrary guidance modalities without the need to retrain any use-specific components. Different guidance ...