然而,该任务也是一个存在多个可行解(假设)的逆问题(inverse problem),具有巨大的歧义性。该问题的产生主要是由于相机成像过程中深度信息的丢失,造成多个三维姿态投影到二维空间可能存在相同的二维姿态。从而形成一对多的病态问题,并且在遮挡的情况下该问题会被进一步放大。这些工作大多忽略了该问题本质上是个逆问题,并且只假设存在一个解,这通常会
TWO-DIMENSIONAL INVERSE TRANSFORMERPROBLEM TO BE SOLVED: To provide an efficient storage means for buffering and accessing n×n block data when executing a two-dimensional inverse transformation operation through two-time one-dimensional inverse transformation operations.CHUA TIEN PING...
[1] Raissi M, Perdikaris P, Karniadakis G E. Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations[J]. Journal of Computational Physics, 2019, 378: 686-707. [2] Li Z, Kovachki N, Azizzadenesheli...
先前的工作尝试使用时空图卷积或时空Transformer来利用时空约束来解决该问题。然而,该任务也是一个存在多个可行解(假设)的逆问题(inverse problem),具有巨大的歧义性。该问题的产生主要是由于相机成像过程中深度信息的丢失,造成多个三维姿态投影到二维空间可能存在相同的二维姿态。从而形成一对多的病态问题,并且在遮挡的情况...
该研究使用 Adam 优化器优化交叉熵损失,在前 10000 步中将学习率从 10^(-7) 提升到 2.10^(-4),然后按照论文《 Attention is all you need 》中的方法将其衰减为步数的平方根倒数(inverse square root)。该研究提供了包含来自同一生成器的 10^4 个样本的验证集,并训练模型,直到验证集的准确率达到饱和(大约...
Please bear in mind that a matrix is singular when it does not have an inverse, which typically occurs when its determinant is zero. In practical terms, this means that the equations represented by the matrix are linearly dependent,some equations do not provide new information. So, in my opi...
Then attention (A) matrix is computed by Q with the corresponding K, scaled by the inverse of the square of dimension of K (dk) and activated by softmax function. $${{{\bf{A}}}={{{\rm{softmax}}}\left(\frac{{{\boldsymbol{Q}}}\cdot {{{\bf{K}}}^{{{\rm{T}}}{\sqrt{{...
现有的研究工作大多试图通过利用空间和时间关系来解决这两个问题,然而,这些研究忽略了一个事实,即存在多个可行的解决方案的逆问题(inverse problem)。为了缓解这一限制,作者提出了一个Multi-Hypothesis Transformer(MHFormer)学习多个看似合理的姿势假设的时空表征。为了有效地对多假设依赖关系进行建模,并在假设特征间建立...
Without considering the difference in time evolution, the source detection problem would be an ill-posed problem. Indeed, the inverse problem is frequently ill-posed and multiple solutions can be equally allowed (Chow et al. 2008). Unfortunately, our model cannot give multiple solutions from a ...
Transformers have achieved the state-of-the-art performance on solving the inverse problem of Snapshot Compressive Imaging (SCI) for video, whose ill-posedness is rooted in the mixed degradation of spatial masking and temporal aliasing. However, previous Transformers lack an insight into the ...