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What Does Make an Error Surface Convex? Is It Determined by the Covarinace Matrix or the Hessian?

"So putting it back in the context of the original question, how does one determine whether or not an error surfance (based on some cost function you select) is convex or not? Is this ...
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Deterministic process, what is it ? how can i get a better intuition for it?

A random process is a collection of random variables $\{X_t\colon t \in \mathbb T\}$, one variable for each time instant $t$ in the index set $\mathbb T$. Typically, $\mathbb T$ is the real line $\...
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