What happens when there are multiple argmins? Argmin of an empty set?

Aug 22, 2021 ... The function torch.argmax will return the indices of maximum value of all the elements in the input tensor. Whereas torch.argmin will return ... c⋆ = argmin˜ck˜ck1 subject to PK Φ˜c = PK x. x⋆ = argmin˜xkΦT ˜xk1 subject to PK ˜x = PK x. Gitta Kutyniok (TU Berlin). Lecture 2. Winter School 2015. 23 ... ˆx = arg min x. [ky − Φxk2. 2 + λkxk0]. Wonderful result: can optimize `1 regularized least squares instead. ˆx = arg min x. [ky − Φxk2. 2 + λkxk1]. Now it's ... proxγgT (z) = argmin q. {gT (q) + 1. 2γ kq − zk2}. = argmin q. {g(Tq) + 1. 2γ kq − zk2} might be much more expensive (if g separable). • however, if T diagonal ... Oct 28, 2021 ... k-means is the whole algorithm using expectation-maximization to minimize the given loss function. Commonly, the improved versions of the ... May 26, 2018 ... Say you have a scalar function: where: and where q is an auxiliary parameter - perhaps f ( x ) represents some physical quantity, and q parametrises the ... Feb 20, 2023 ... Use calculus to expand f to second order around x_star and theta. Solve for x = argmin f (x) as a function of theta in the context of this second-order ... Oct 28, 2021 ... Is there a way to perform an argmax on a subset of a vector determined by a bitarray. This bitarray tells whether the index should be considered or not. Oct 4, 2018 ... dsyme commented on Oct 4, 2018 •. edited. Loading. NumPy has argmax and argmin to return the index of the maximum and minimum values in a ... Mar 24, 2020 ... In the case of the Dataset.argmax(), there is no such option. The function will raise a "ValueError: All-NaN slice encountered" exception.