A survey on the complexity of learning quantum states

A Anshu, S Arunachalam - Nature Reviews Physics, 2024 - nature.com
Quantum learning theory is a new and very active area of research at the intersection of
quantum computing and machine learning. Important breakthroughs in the past two years …

[LIVRE][B] Analysis of boolean functions

R O'Donnell - 2014 - books.google.com
Boolean functions are perhaps the most basic objects of study in theoretical computer
science. They also arise in other areas of mathematics, including combinatorics, statistical …

Fairness through computationally-bounded awareness

M Kim, O Reingold, G Rothblum - Advances in neural …, 2018 - proceedings.neurips.cc
We study the problem of fair classification within the versatile framework of Dwork et
al.[ITCS'12], which assumes the existence of a metric that measures similarity between pairs …

Classical verification of quantum learning

MC Caro, M Hinsche, M Ioannou, A Nietner… - arxiv preprint arxiv …, 2023 - arxiv.org
Quantum data access and quantum processing can make certain classically intractable
learning tasks feasible. However, quantum capabilities will only be available to a select few …

Learning neural networks with two nonlinear layers in polynomial time

S Goel, AR Klivans - Conference on Learning Theory, 2019 - proceedings.mlr.press
We give a polynomial-time algorithm for learning neural networks with one layer of sigmoids
feeding into any Lipschitz, monotone activation function (eg, sigmoid or ReLU). The …

Loss minimization yields multicalibration for large neural networks

J Błasiok, P Gopalan, L Hu, AT Kalai… - arxiv preprint arxiv …, 2023 - arxiv.org
Multicalibration is a notion of fairness for predictors that requires them to provide calibrated
predictions across a large set of protected groups. Multicalibration is known to be a distinct …

Properly learning decision trees in almost polynomial time

G Blanc, J Lange, M Qiao, LY Tan - Journal of the ACM, 2022 - dl.acm.org
We give an n O (log log n)-time membership query algorithm for properly and agnostically
learning decision trees under the uniform distribution over {±1} n. Even in the realizable …

Efficient contextual bandits with continuous actions

M Majzoubi, C Zhang, R Chari… - Advances in …, 2020 - proceedings.neurips.cc
We create a computationally tractable learning algorithm for contextual bandits with
continuous actions having unknown structure. The new reduction-style algorithm composes …

Agnostically learning multi-index models with queries

I Diakonikolas, DM Kane, V Kontonis… - 2024 IEEE 65th …, 2024 - ieeexplore.ieee.org
We study the power of query access for the fundamental task of agnostic learning under the
Gaussian distribution. In the agnostic model, no assumptions are made on the labels of the …

Top-down induction of decision trees: rigorous guarantees and inherent limitations

G Blanc, J Lange, LY Tan - arxiv preprint arxiv:1911.07375, 2019 - arxiv.org
Consider the following heuristic for building a decision tree for a function $ f:\{0, 1\}^ n\to\{\pm
1\} $. Place the most influential variable $ x_i $ of $ f $ at the root, and recurse on the …