Search Results for author: Nikita Puchkin

Found 8 papers, 4 papers with code

Exploring Local Norms in Exp-concave Statistical Learning

no code implementations21 Feb 2023 Nikita Puchkin, Nikita Zhivotovskiy

We consider the problem of stochastic convex optimization with exp-concave losses using Empirical Risk Minimization in a convex class.

valid

Exponential Savings in Agnostic Active Learning through Abstention

no code implementations31 Jan 2021 Nikita Puchkin, Nikita Zhivotovskiy

We show that in pool-based active classification without assumptions on the underlying distribution, if the learner is given the power to abstain from some predictions by paying the price marginally smaller than the average loss $1/2$ of a random guess, exponential savings in the number of label requests are possible whenever they are possible in the corresponding realizable problem.

Active Learning Classification +1

Rates of convergence for density estimation with generative adversarial networks

no code implementations30 Jan 2021 Nikita Puchkin, Sergey Samsonov, Denis Belomestny, Eric Moulines, Alexey Naumov

In this work we undertake a thorough study of the non-asymptotic properties of the vanilla generative adversarial networks (GANs).

Density Estimation

Manifold-based time series forecasting

1 code implementation15 Dec 2020 Nikita Puchkin, Aleksandr Timofeev, Vladimir Spokoiny

Prediction for high dimensional time series is a challenging task due to the curse of dimensionality problem.

Denoising Time Series Forecasting Statistics Theory Statistics Theory

Structure-adaptive manifold estimation

1 code implementation12 Jun 2019 Nikita Puchkin, Vladimir Spokoiny

We consider a problem of manifold estimation from noisy observations.

An adaptive multiclass nearest neighbor classifier

no code implementations8 Apr 2018 Nikita Puchkin, Vladimir Spokoiny

We consider a problem of multiclass classification, where the training sample $S_n = \{(X_i, Y_i)\}_{i=1}^n$ is generated from the model $\mathbb P(Y = m | X = x) = \eta_m(x)$, $1 \leq m \leq M$, and $\eta_1(x), \dots, \eta_M(x)$ are unknown $\alpha$-Holder continuous functions. Given a test point $X$, our goal is to predict its label.

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