Toggle light / dark theme

Get the latest international news and world events from around the world.

Log in for authorized contributors

Markov chain Monte Carlo

In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution. Given a probability distribution, one can construct a Markov chain whose elements’ distribution approximates it – that is, the Markov chain’s equilibrium distribution matches the target distribution. The more steps that are included, the more closely the distribution of the sample matches the actual desired distribution.

Markov chain Monte Carlo methods are used to study probability distributions that are too complex or too high dimensional to study with analytic techniques alone. Various algorithms exist for constructing such Markov chains, including the Metropolis–Hastings algorithm.

3 Questions: On the future of AI and the mathematical and physical sciences

Curiosity-driven research has long sparked technological transformations. A century ago, curiosity about atoms led to quantum mechanics, and eventually the transistor at the heart of modern computing. Conversely, the steam engine was a practical breakthrough, but it took fundamental research in thermodynamics to fully harness its power.

Today, artificial intelligence and science find themselves at a similar inflection point. The current AI revolution has been fueled by decades of research in the mathematical and physical sciences (MPS), which provided the challenging problems, datasets, and insights that made modern AI possible. The 2024 Nobel Prizes in physics and chemistry, recognizing foundational AI methods rooted in physics and AI applications for protein design, made this connection impossible to miss.

In 2025, MIT hosted a Workshop on the Future of AI+MPS, funded by the National Science Foundation with support from the MIT School of Science and the MIT departments of Physics, Chemistry, and Mathematics. The workshop brought together leading AI and science researchers to chart how the MPS domains can best capitalize on — and contribute to — the future of AI. Now a white paper, with recommendations for funding agencies, institutions, and researchers, has been published in Machine Learning: Science and Technology. In this interview, Jesse Thaler, MIT professor of physics and chair of the workshop, describes key themes and how MIT is positioning itself to lead in AI and science.

A 3D-printed swallowable robot could perform gastrointestinal procedures

Recent technological advances have opened new possibilities for the development of advanced medical devices, including tiny robots that can safely move inside the human body. Some of these systems could help to simplify complex medical procedures, including delicate surgeries and the targeted delivery of drugs to specific sites.

THE MINIMAX lab at University of Texas (UT) Austin specializes in the development of tiny robots for medical, environmental, and other applications. In a recent preprint paper on arXiv, researchers from this lab introduced a new 3Dprintable and magnetically steerable capsule robot that could potentially help to diagnose and treat some gastrointestinal (GI) conditions.

“My motivation for GI health monitoring is deeply personal,” Fangzhou Xia, director of the MINIMAX lab at UT Austin and senior author of the paper, told Medical Xpress. “In 2022, when I was a postdoc at MIT, I experienced a severe GI medical episode involving repeated gallstone-induced bile duct blockage that ultimately required gallbladder removal surgery.

Something strange is happening in the Milky Way’s magnetic field

A stunning new map of the Milky Way reveals a dramatic magnetic flip hiding in plain sight. Deep inside the Milky Way, an invisible force is quietly holding everything together — its magnetic field. Now, researchers have created one of the most detailed maps ever of this hidden structure, revealing surprising twists in how it flows through our galaxy.

For generations, scientists have studied the stars and planets to better understand how our galaxy works. Now, Dr. Jo-Anne Brown, PhD, is focused on charting something we cannot see at all: the Milky Way’s magnetic field.

“Without a magnetic field, the galaxy would collapse in on itself due to gravity,” says Brown, a professor in the Department of Physics and Astronomy at the University of Calgary.

Researcher behind major Alzheimer’s breakthrough: this is my most important advice if you would like to avoid the incurable brain disease

In a lab at Aarhus University in Denmark, researchers have made a discovery that could rewrite textbooks on the severe and fatal Alzheimer’s brain disease. And the discovery once again emphasises that you can do a lot to lower your personal risk significantly.

Lp(a) Explained: Genetics, Risk, and What You Can Actually Do

Join us on Patreon! / michaellustgartenphd.

Discount Links/Affiliates:
Blood testing (where I get the majority of my labs): https://www.ultalabtests.com/partners… testing with LifeExtension.com: https://www.anrdoezrs.net/click-10161… At-Home Metabolomics: https://www.iollo.com?ref=michael-lus… Use Code: CONQUERAGING At Checkout Clearly Filtered Water Filter: https://get.aspr.app/SHoPY Epigenetic, Telomere Testing: https://trudiagnostic.com/?irclickid=… Use Code: CONQUERAGING NAD+ Quantification: https://www.jinfiniti.com/dose-findin… Oral Microbiome: https://www.bristlehealth.com/?ref=mi… Enter Code: ConquerAging SiphoxHealth Blood Testing (ApoB, GrimAge): https://siphoxhealth.com/mlustgarten Green Tea: https://www.ochaandco.com/?ref=fqbtflod Use Code: ML10OFF Diet Tracking: https://shareasale.com/r.cfm?b=139013… If you’d like to support the channel, you can do that with the website, Buy Me A Coffee: https://www.buymeacoffee.com/mlhnrca Conquer Aging Or Die Trying Merch! https://my-store-d4e7df.creator-sprin… Paper: Risk-weighted apoB: a novel summary metric outperforming traditional lipid biomarkers in predicting coronary heart disease https://pubmed.ncbi.nlm.nih.gov/41568

Blood Testing Essentials (Biological Age, CVD-Risk, Kidney Health and Function):
PhenoAge (Biological Age): https://www.ultalabtests.com/partners

Risk-weighted ApoB (a better CVD predictor than LDL, non-HDL cholesterol, and ApoB): https://www.ultalabtests.com/partners

Kidney health and function: https://www.ultalabtests.com/partners

Read more

/* */