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Nhat-Thang Le, and Laurent Miclo
vol. 191, n. 104780, January 2026
Consider the global optimisation of a function defined on a finite set endowed with an irreducible and reversible Markov generator. By integration, we extend to the set of probability distributions on and we penalize it with a time-dependent generalized entropy functional. Endowing with a Maas’...
Aurore Archimbaud
vol. 211, n. 105520, January 2026
Invariant coordinate selection is an unsupervised multivariate data transformation useful in many contexts such as outlier detection or clustering. It is based on the simultaneous diagonalization of two affine equivariant and positive definite scatter matrices. Its classical implementation relies...
Marie-Françoise Calmette
n. 449, January 2026
Camille Mondon, Thi-Huong Trinh, Anne M. Ruiz, and Christine Thomas-Agnan
vol. 211, n. 105522, January 2026
Invariant coordinate selection (ICS) is a dimension reduction method, used as a preliminary step for clustering and outlier detection. It has been primarily applied to multivariate data. This work introduces a coordinate-free definition of ICS in an abstract Euclidean space and extends the method...
Colombe Becquart, Aurore Archimbaud, Anne M. Ruiz, Luka Prilc, and Klaus Nordhausen
vol. 211, n. 105521, January 2026
Invariant Coordinate Selection (ICS) is a multivariate technique that relies on the simultaneous diagonalization of two scatter matrices. It serves various purposes, including its use as a dimension reduction tool prior to clustering or outlier detection. ICS’s theoretical foundation establishes...
Doh-Shin Jeon, Jay Pil Choi, and Michael Whinston
vol. 116, n. 1, January 2026, p. 332–374
We develop a leverage theory of tying in markets with network effects. When a monopolist in one market cannot perfectly extract surplus from consumers, tying can be a mechanism through which unexploited consumer surplus is used as a demand-side leverage to create a “quasi-installed base” advantage...
Jorge Ale-Chilet, Cuicui Chen, Jing Li, and Mathias Reynaert
vol. 93 (1), January 2026, pp. 35–71
We study collusion among firms against imperfectly monitored environmental regulation. Firms increase variable profits by violating regulation and reduce expected noncompliance penalties by violating jointly. We consider a case of three German automakers colluding to reduce the effectiveness of...
Shema Mitali, Julien Daubanes, and Jean-Charles Rochet
2025, pp. 1–22
Corporate green bond announcements generate positive abnormal stock returns. We suggest this might be because managers use green bonds to signal the profitability of the climate-friendly projects they finance. First, we build a signaling model of green bond issuance. It predicts that firms’...
Léo Portales, Elsa Cazelles, and Edouard Pauwels
2025, forthcoming
Lloyd’s algorithm is an iterative method that solves the quantization problem, that is, the approximation of a target probability measure by a discrete one, and is particularly used in digital applications. This algorithm can be interpreted as a gradient method on a certain quantization functional...
René Aïd, Luciano Campi, and Jérôme Renault
vol. 19, December 2025, p. 661–664
