Transatlantic Brokers. A global history of Jean Monnet’s network 1914-1943

Jean Monnet, possibly the most important actor during the first post-war decades of European integration, is constantly described in the literature as part of a network that included several influential individuals in Europe and in the United States who, at different moments, held key positions. An important aspect in this regard is that some of Monnet’s transatlantic friends promoted European integration and contributed to a cross-fertilization process across the Atlantic. Considering that most of the authors either list a number of people as being part of this network, or focus on particular individuals’ relationship with Monnet, it is fair to ask to what extent his network helped him in pursuing his goals, if Monnet was simply accepted, and why, in already existing networks, if we can consider his as a transatlantic working group and if we can retrace in this story elements of continuity and long durée that can contribute to the historiography of early European Integration. Considering new trends and interpretations that highlight the role played by networks, examination of Monnet’s techniques and his reliance on his transatlantic connections reveal important findings about his relationship with policymakers, shading also a light on important features of XX century diplomatic and transatlantic history. This dissertation’s attempt, therefore, is to define these as elements of continuity throughout the formative years of one of founding fathers of the Integration process.

New perspectives in statistical mechanics and high-dimensional inference

The main purpose of this thesis is to go beyond two usual assumptions that accompany theoretical analysis in spin-glasses and inference: the i.i.d. (independently and identically distributed) hypothesis on the noise elements and the finite rank regime. The first one appears since the early birth of spin-glasses. The second one instead concerns the inference viewpoint. Disordered systems and Bayesian inference have a well-established relation, evidenced by their continuous cross-fertilization. The thesis makes use of techniques coming both from the rigorous mathematical machinery of spin-glasses, such as the interpolation scheme, and from Statistical Physics, such as the replica method. The first chapter contains an introduction to the Sherrington-Kirkpatrick and spiked Wigner models. The first is a mean field spin-glass where the couplings are i.i.d. Gaussian random variables. The second instead amounts to establish the information theoretical limits in the reconstruction of a fixed low rank matrix, the “spike”, blurred by additive Gaussian noise. In chapters 2 and 3 the i.i.d. hypothesis on the noise is broken by assuming a noise with inhomogeneous variance profile. In spin-glasses this leads to multi-species models. The inferential counterpart is called spatial coupling. All the previous models are usually studied in the Bayes-optimal setting, where everything is known about the generating process of the data. In chapter 4 instead we study the spiked Wigner model where the prior on the signal to reconstruct is ignored. In chapter 5 we analyze the statistical limits of a spiked Wigner model where the noise is no longer Gaussian, but drawn from a random matrix ensemble, which makes its elements dependent. The thesis ends with chapter 6, where the challenging problem of high-rank probabilistic matrix factorization is tackled. Here we introduce a new procedure called "decimation" and we show that it is theoretically to perform matrix factorization through it.