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1 vote
1 answer
56 views

Fast rates in ERM: Extreme case of low-noise assumption implies non-differentiability

Some context: I am going through some literature on empirical risk minimization for bipartite ranking [1] that shows how certain "low-noise" conditions lead to fast rates of convergence of ...
dmh's user avatar
  • 111
8 votes
4 answers
2k views

How to learn a continuous function?

Let $\Omega \subset \mathbb{R}^m$ be an open subset bounded with a smooth boundary. Problem : Given any bounded continuous function $f:\Omega\to\mathbb{R}$, can we learn it to a given accuracy $\...
Rajesh D's user avatar
  • 724
2 votes
0 answers
194 views

Shattering with sinusoids

Let $d \geq 2$ and $K$ some positive integer. Consider distinct points $\theta_1, \ldots, \theta_K\in \mathbb{T}^d$ and (not necessarily distinct) $z_1, \ldots, z_K \in \{-1,1\}$ such that $\sum\...
Rajesh D's user avatar
  • 724
0 votes
1 answer
320 views

Request for references about computing or estimating Rademacher complexity

Is Rademacher complexity defined for any space of functions? Or are there restrictions on the function space over which this can be defined? For example is the Rademacher complexity defined or has ...
Student's user avatar
  • 555