Labo : https://www.ipht.fr
Context: Today, as a result of an outstanding experimental program, particle physics and cosmology are
flooded with data. This offers us the unique opportunity to answer questions that have been the object of
speculation for more than fifty years. In particular, particle colliders and Cosmic Microwave Background
(CMB) surveys have collected a wealth of high-quality data in the past decades and may continue to do so for
decades to come. Analyzing these datasets effectively is key to make progress in fundamental physics.
In particle physics, as more and more data are collected, the problems that confront us become sharper
and harder to solve. We know that the theories that well describe current data are incomplete and should be
extended, but our prior beliefs on how the extension should look like and on where to discover it experimentally
become less concordant every day. This calls for a model-independent approach to data analysis.
In cosmology, well established measurements, such as the rate of expansion of the Universe from the CMB
radiation, are being challenged by new observations. Reconciling these different observations or understanding
if they signal the presence of new physical phenomena, can only be done by interrogating the data in novel
ways. Mining these large, multivariate datasets for signs of new phenomena, presents many of the challenges
that machine learning and deep learning are overcoming in a variety of other domains. In this project we
leverage the unprecedented growth of these fields to shed light on the open questions of fundamental physics.
Thesis Project: We consider the problem of having large multivariate datasets that are seemingly well de-
scribed by a reference model. Departures from the reference model can be statistically significant, but are
caused only by a very small fraction of events. The significance might stem from the extreme rarity of the
discrepant events in the reference model and in this case anomaly detection techniques might be employed.
Or the discrepancy is due to a small excess (or even a deficit) of events in a region of the space of physical
observables that is also populated in the reference model. Our goal is to determine if the experimental dataset
does follow the reference model exactly or if it instead contains “smal” departures as described above. In the
latter case, we also want to know in which region of the space of observables the discrepancy is localized. This
problem is relevant to Large Hadron Collider (LHC) datasets that are well described by the Standard Model of
particle physics (SM) and CMB datasets that are well described by the standard cosmological model ’CDM.
I have already developed a new machine learning technique  that allows to analyze large datasets in
a model-independent way, detecting data departures from a given reference model with no prior bias on the
nature of the new physics responsible for the discrepancy. There are a number of potential applications in
particle physics, astrophysics and cosmology. We are already taking the relevant steps in collaboration with
CMS experimentalists to use this technique on LHC data. The next step is to apply this technique to CMB
datasets in order to detect deviations from ’CDM (which can contribute to shed light on the current tension
between different measurements of the Hubble parameter). The application of this technique to CMB data will
be the main focus of the project.
In parallel we will refine  and look for the optimal model-independent new physics detection strategy.
This problem can be reduced to finding the minimum of a suitable loss function. Furthermore, the loss function
first developed in  can be used to obtain better performances in traditional classification problems, with a
variety of possible applications to fundamental physics (such as for example the separation between quark and
gluon jets). There are many other directions that are worth exploring such as embedding  in a Generative
Adversarial Network and using Autoencoders to compute a p-value rather than just signaling the presence of
anomalous events. Depending on the progress of the student during his thesis project we will explore all these
directions or only a subset, with the priorities outlined above: 1) CMB data mining 2) Optimal search strategy
3) Applications in classification 4) Variations on Autoencoders.
 R. T. D’Agnolo and A. Wulzer, Learning New Physics from a Machine, Phys. Rev. D 99, no. 1, 015014
(2019) doi:10.1103/PhysRevD.99.015014 [arXiv:1806.02350 [hep-ph]].