Tag: inequality

How Brunn-Minkowski inequality is used in Machine Learning part4

Abstract : In the setting of essentially non-branching metric measure spaces, we prove the equivalence between the curvature dimension condition CD(K,N), in the sense of Lott — Sturm — Villani, and a newly introduced notion that we call strong Brunn — Minkowski inequality SBM(K,N)....

How Brunn-Minkowski inequality is used in Machine Learning part1

Abstract : In this paper, we put forward an argument which leads from the Brunn-Minkowski inequality to a class of Poincaré-type inequality for torsional rigidity on the boundary of a convex body of class C2+ in $\rnnn$ 2.The Reverse-log-Brunn-Minkowski inequality (arXiv) Abstract : Fir...

Power, Money, and the Inequality of Death

“Hypocrisy can afford to be magnificent in its promises, for never intending to go beyond promise, it costs nothing.” — Edmund Burke We would like to believe that the loss of any life would garner the same societal response. But we treat death differently depending on context. ...

The geography of inequality

Inequality is one of the hottest topics these days and one particularly dear to my heart. As a French who lived in the UK for a year and in California for 5, I always find fascinating to try to understand how societies evolve and what values and social contracts they establish. Income (and w...

The Choppy Waters of Workplace Inequality

I remember the day vividly — a Thursday in late spring, the kind where the sun promises warmer days ahead. I was in a small, neatly organised office, sitting across from my manager, feeling a mix of anticipation and anxiety. We were about to discuss my annual performance and, hopefully, my sal...

The Supreme Court’s Decision on Race-Conscious Admissions Cements Racial Inequality in America

Confronting our nation’s long history of subjugation, repression, and cruelty is imperative if we are to ensure that the United States lives up to its promise of providing equal opportunity to all. Instead, the Supreme Court has erected new barriers to practices that were initially intended to...

Supreme Inequality by Adam Cohen

An incredibly compelling and thoughtful read, Cohen makes the case in Supreme Inequality that the progressive, forward-thinking, civil-rights crusading Supreme Court of the 1960’s Earl Warren years are no more, and that, since the election of Richard Nixon in 1968 and his subsequent ...

Long commutes show structural inequality in cities

Research from Raj Chetty at Harvard on 5 different social factors found that shorter commute times were found to be the strongest predictor of upward mobility. In fact, investments in public transportation have been shown to reduce local inequality and drive down local crime...

Unmasking Inequality: The Case of White Privilege and the Pursuit of Justice

In the bustling city of Rivertown, Detective Sarah Rodriguez was known for her relentless pursuit of the truth. Her latest case, however, was unlike any she had ever taken on. It was a case of recognizing white privilege and promoting anti-racist action. She had been given a list of books, each one ...

Unmasking Inequality: The Case of White Privilege and the Pursuit of Justice

In the bustling city of Rivertown, Detective Sarah Rodriguez was known for her relentless pursuit of the truth. Her latest case, however, was unlike any she had ever taken on. It was a case of recognizing white privilege and promoting anti-racist action. She had been given a list of books, each one ...

Statistical Learning Theory Part 1: Hoeffding’s Inequality Derivation & Simulation

Hoeffding’s Inequality is an important concentration inequality in Mathematical Statistics and Machine Learning (ML), leveraged extensively in theoretically areas such as Statistical Learning Theory as well as applied areas such as Reinforcement Learning. I have noticed in pockets of the ML...

Power, Money, and the Inequality of Death

“Hypocrisy can afford to be magnificent in its promises, for never intending to go beyond promise, it costs nothing.” — Edmund Burke We would like to believe that the loss of any life would garner the same societal response. But we treat death differently depending on context. ...