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Towards a data-scale independent regulariser for robust sparse identification of non-linear dynamics

arXiv.org Machine Learning

Data normalisation, a common and often necessary preprocessing step in engineering and scientific applications, can severely distort the discovery of governing equations by magnitudebased sparse regression methods. This issue is particularly acute for the Sparse Identification of Nonlinear Dynamics (SINDy) framework, where the core assumption of sparsity is undermined by the interaction between data scaling and measurement noise. The resulting discovered models can be dense, uninterpretable, and physically incorrect. To address this critical vulnerability, we introduce the Sequential Thresholding of Coefficient of Variation (STCV), a novel, computationally efficient sparse regression algorithm that is inherently robust to data scaling. STCV replaces conventional magnitude-based thresholding with a dimensionless statistical metric, the Coefficient Presence (CP), which assesses the statistical validity and consistency of candidate terms in the model library. This shift from magnitude to statistical significance makes the discovery process invariant to arbitrary data scaling. Through comprehensive benchmarking on canonical dynamical systems and practical engineering problems, including a physical mass-spring-damper experiment, we demonstrate that STCV consistently and significantly outperforms standard Sequential Thresholding Least Squares (STLSQ) and Ensemble-SINDy (E-SINDy) on normalised, noisy datasets. The results show that STCV-based methods can successfully identify the correct, sparse physical laws even when other methods fail. By mitigating the distorting effects of normalisation, STCV makes sparse system identification a more reliable and automated tool for real-world applications, thereby enhancing model interpretability and trustworthiness.


Scientists uncover the origin of three mysterious signals coming from the heart of the Milky Way - and say dark matter is responsible

Daily Mail - Science & tech

Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Scientists have uncovered the origin of three mysterious signals coming from the centre of the Milky Way. For years, astronomers have struggled to understand the strange spikes of energy that blare out from the heart of our galaxy. But researchers now say a very specific type of dark matter, known as'excited dark matter', is responsible.


Trump's secret nuclear escape plan revealed: Inside the secret sites the president could flee to as WW3 fears mount

Daily Mail - Science & tech

ROTC students at Old Dominion subdued and killed ISIS-linked gunman who left one dead, two wounded after shouting'Allahu Akbar' and opened fire Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Trump's secret nuclear escape plan revealed: Inside the secret sites the president could flee to as WW3 fears mount President Donald Trump could be forced to flee to one of the government's top secret bases across the United States if a global nuclear war broke out, doomsday plans have revealed. As the war with Iran threatens to spiral into a global nuclear conflict, the government already has a playbook in place to keep itself running called the Continuity of Operations Plan (COOP). This plan ensures that critical government functions, such as national defense, economic stability and public safety, keep going even if several major cities were destroyed by a weapon of mass destruction.


US nuclear weapons testing facilities rattled by more than 100 mysterious earthquakes

Daily Mail - Science & tech

Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' At least 127 earthquakes have been recorded in a highly restricted region of central Nevada that contains several major US military and nuclear-related facilities. The seismic activity began on Saturday, with the latest tremor detected on Wednesday. The quakes ranged from magnitude 4.2 down to about 1.4, striking in the vicinity of the Tonopah Test Range, sometimes referred to as'Area 52.'


Iran targets critical US infrastructure as Middle East war spirals

Daily Mail - Science & tech

ROTC students at Old Dominion subdued and killed ISIS-linked gunman who left one dead, two wounded after shouting'Allahu Akbar' and opened fire Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Iran-linked hackers have launched a cyber campaign targeting US companies, raising fears that critical infrastructure could soon come under attack. Cybersecurity experts revealed Thursday that the Advanced Persistent Threat (APT) group Seedworm had infiltrated multiple organizations, including a bank, an airport and a software supplier to the defense and aerospace industries. Researchers at Symantec and Carbon Black discovered attackers installed a hidden malicious program, known as a backdoor, allowing them to secretly regain access to compromised systems.


Japan eyes distant island for nuclear waste dump

Popular Science

Minamitorishima is nearly 1,250 miles east of Tokyo. The island is surrounded by a coral atoll and is only 0.6 miles wide. Breakthroughs, discoveries, and DIY tips sent six days a week. Nuclear power is on the rise around the world, but with it comes an extremely pressing question: where will all of the radioactive waste be stored? For Japan, one answer may lie in literally the most remote location at their disposal.


Key Bible detail about Jesus' crucifixion confirmed after 2,000 years

Daily Mail - Science & tech

ROTC students at Old Dominion subdued and killed ISIS-linked gunman who left one dead, two wounded after shouting'Allahu Akbar' and opened fire Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Kylie Jenner's total humiliation in Hollywood: Derogatory rumor leaves her boyfriend's peers'laughing at her' behind her back Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting Ben Affleck'scores $600m deal' with Netflix to sell his AI film start-up Long hair over 45 is ageing and try-hard. I've finally cut mine off. Alexander brothers' alleged HIGH SCHOOL rape video: Classmates speak out on sickening footage... as creepy unseen photos are exposed Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Key Bible detail about Jesus' crucifixion confirmed after 2,000 years READ MORE: Scientists confirm biblical earthquake that shook the earth at the moment of Jesus' crucifixion The Bible's account of the crucifixion of Jesus contains a puzzling detail: he died on the cross before the two criminals crucified beside him. Now, a medical study examining historical records and decades of scientific research has suggested that detail may be explained by the physiological effects of crucifixion. According to the Gospel of John, Roman soldiers broke the legs of the two men executed alongside Jesus to hasten their deaths.


Scientists confirm biblical earthquake that shook the earth at the moment of Jesus' crucifixion

Daily Mail - Science & tech

Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Alexander brothers' alleged HIGH SCHOOL gang rape video: Classmates speak out on sick'taking turns' footage... as creepy unseen photos are exposed Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting NFL superstar Xavier Worthy spills all on Travis Kelce, the Chiefs' struggles... and having Taylor Swift as his No 1 fan Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Nancy Mace throws herself into Iran warzone as she goes rogue on Middle East rescue mission: 'I AM that person' Hidden toxins in kids' treats EXPOSED: Health guru Jillian Michaels' sit-down with Casey DeSantis reveals dangers lurking in popular foods Scientists confirm biblical earthquake that shook the earth at the moment of Jesus' crucifixion A decade-old study claiming to find evidence of the earthquake described in the Bible at the time of Jesus's crucifixion is reigniting debate after resurfacing online. The Gospel of Matthew says'the earth shook' moments after Jesus cried out before dying on the cross, and researchers in 2012 reported evidence that could support the verse. A team of geologists examined sediment layers near the Dead Sea, about 25 miles from where many scholars believe the crucifixion took place. Their analysis revealed signs of at least two significant earthquakes affecting the region. Disturbances in the sediment pointed to a major quake around 31 BC and a smaller seismic event sometime between 26 and 36 AD.


You're cleaning your saucepans wrong! Experts reveal the surprisingly simple way to shift stubborn remnants - and it requires minimal elbow grease

Daily Mail - Science & tech

Horrifying next twist in the Alexander brothers case: MAUREEN CALLAHAN exposes an unthinkable perversion that's been hiding in plain sight Hollywood icon who starred in Psycho after Hitchcock dubbed her'my new Grace Kelly' looks incredible at 95 Alexander brothers' alleged HIGH SCHOOL gang rape video: Classmates speak out on sick'taking turns' footage... as creepy unseen photos are exposed Model Cindy Crawford, 60, mocked for her'out of touch' morning routine: 'Nothing about this is normal' Kentucky mother and daughter turn down $26.5MILLION to sell their farms to secretive tech giant that wants to build data center there Tucker Carlson erupts at Trump adviser as she hurls'SLANDER' claim linking him to synagogue shooting NFL superstar Xavier Worthy spills all on Travis Kelce, the Chiefs' struggles... and having Taylor Swift as his No 1 fan Heartbreaking video shows very elderly DoorDash driver shuffle down customer's driveway with coffee order because he is too poor to retire Amber Valletta, 52, was a '90s Vogue model who made movies with Sandra Bullock and Kate Hudson, see her now Nancy Mace throws herself into Iran warzone as she goes rogue on Middle East rescue mission: 'I AM that person' Cleaning dirty saucepans is a chore that most people dread. But the days of practically breaking your arm trying to scrub the remnants of food out of the bottom are finally a thing of the past. Experts at Which? have revealed the surprisingly simple way to clean a burnt saucepan. And best of all, it requires minimal elbow grease. To find the ultimate method, the team scorched baked beans onto the bottom of a pan, before testing popular cleaning hacks to shift the remains.


Best superbloom since 2016 fills Death Valley with wildflowers

Popular Science

The colorful explosion of flowers could last through June. Breakthroughs, discoveries, and DIY tips sent six days a week. The driest place on Earth could soon be awash in wildflowers. Death Valley National Park in California is expected to have the best bloom year since 2016. According to the National Park Service, many of their sprouts have not even flowered yet, so the fleeting beauty is just beginning.