Pablo Groisman 🎲
@pgroisma
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Matemático Abrazar el azar https://t.co/DUbUcizCdg Te Regalo Un Teorema https://t.co/07qzMEYmfo
Joined June 2010
Ley del ex: ¿mito o realidad? . Escribimos sobre el asunto junto a P. Mislej. Gracias @sebacampanario como siempre!. @JPVarsky @VarskySportLIVE @marcelogantman @ertenembaum @Iron_Hic_Man.
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Thanks @AIP_Publishing 😀.
A machine learning method allows reconstructing attractors from data, ensuring that the topology of the underlying phase space is preserved. @Exactas_UBA @Fisica_UBA @fainsteinfacu @GaboMindlin @pgroisma
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Gracias @sebacampanario por la invitación a escribir.
Matemática e inteligencia artificial: de la ex-URSS a la ola disruptiva del momento por @pgroisma vía @LANACION.@sebacampanario @rebecahwang @wsosaescudero @leoysubrayo @julitoalonso @parselis.
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RT @RealSocMatEsp: ✨ #TalDiaComoHoy de 1816 Sophie Germain se convertía en la primera mujer en ganar un Premio Extraordinario en #matematic….
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😃.
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RT @MathMatize: BREAKING: Donald Trump announces he intends to change the name of The Chinese Remainder Theorem to The USA Remainder Theore….
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Attenti.
Ya está aquí la tercera edición del concurso CEBE Ciencia con Ñ! 🤩. Ayúdanos a elegir el mejor libro de divulgación en español del año proponiendo tu candidato en el siguiente formulario:.
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Y por si fuera poco, hoy se publicó también este que hicimos con @fainsteinfacu y @GaboMindlin (ya está contado por Gabo, así que mis palabras huelgan). [se impone una revisita al problema de los cumpleaños].
Una de las grandes preguntas de la Inteligencia Artificial es la interpretabilidad. Por que dice lo que dice? Que tiene en cuenta a la hora de decidir algo? Que aprendio a la hora de predecir? Nuestro paper de hoy, Featured en Chaos de la AIP, con
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In dimension one (a circle), with @Churi_F and @cecidevita we proved the existence of a whole family of twisted states (we can describe them) with high probability as the number of nodes goes to infinity. I hope you enjoy the paper!.
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This problem is not exclusively associated to sync problems. It appear also when we train an artificial neural network (we want to understand what is going to be the outcome of the training) and in many physical phenomena.
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The problem of global sync vs alternative patterns is equivalent to the uniqueness (or not) of local minima of the energy function associated to the system. That is, what are the possible limits when we do gradient descent. Every local minimum is a possible limit state.
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Random geometric graphs are constructed by choosing points at random in some space and then declaring two nodes to be neighbors if they are close to each other (in some predetermined sense). They are a very natural model to represent spatial interactions.
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Inspired by the Thai fireflies and many other real situations, we were looking for a proof of their ubiquity in random geometric graphs.
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This "twisted" stable states have been shown to exist for some graphs with lots of symmetries that allow to compute them explicitly.
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. as it is the case with the fireflies in Thailand, in which the phases of neighboring nodes are slightly shifted.
But in nature we can observe other patterns, for example with the fireflies in Thailand, in which the phases of neighboring nodes are slightly shifted.
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