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Loss function in machine learning
In machine learning, hinge loss is a loss function used for training classifiers. Hinge loss is used for "maximum-margin" classification, most notably
Hinge_loss
Concept in machine learning
the hinge loss quite attractive, as bounds can be placed on the difference between expected risk and the sign of hinge loss function. The Hinge loss cannot
Loss functions for classification
Loss_functions_for_classification
Set of methods for supervised statistical learning
minimization with Tikhonov regularization, where in this case the loss function is the hinge loss ℓ ( y , z ) = max ( 0 , 1 − y z ) . {\displaystyle \ell (y
Support_vector_machine
Tikhonov regularization, specifically Tikhonov regularization with the hinge loss for a loss function. This provides a theoretical framework with which to analyze
Regularization perspectives on support vector machines
Regularization_perspectives_on_support_vector_machines
Loss function used in robust regression
the hinge loss used by support vector machines; the quadratically smoothed hinge loss is a generalization of L {\displaystyle L} . The Huber loss function
Huber_loss
Mathematical relation assigning a probability event to a cost
symmetric, differentials cases. Bayesian regret Loss functions for classification Discounted maximum loss Hinge loss Scoring rule Statistical risk Hastie, Trevor;
Loss_function
Topics referred to by the same term
hinge in Wiktionary, the free dictionary. A hinge is a mechanical bearing that connects two solid objects. Hinge or hinges can also refer to: Hinge,
Hinge_(disambiguation)
Regression analysis for modeling ordinal data
ordinal regression models by adapting common loss functions from classification (such as the hinge loss and log loss) to the ordinal case. ORCA (Ordinal Regression
Ordinal_regression
defines belongs to a special class of Markov random field known as a Hinge-Loss Markov Field (HL-MRF). An HL-MRF determines a density function over a
Probabilistic_soft_logic
Principle in statistical learning theory
issue either by employing a convex approximation to the 0–1 loss function (like hinge loss for SVM), which is easier to optimize, or by imposing assumptions
Empirical_risk_minimization
Statistical classification in machine learning
the regularization and the loss function. Popular loss functions include the hinge loss (for linear SVMs) and the log loss (for linear logistic regression)
Linear_classifier
Technique to make a model more generalizable and transferable
f(x)} when the label is y {\displaystyle y} , such as the square loss or hinge loss; and λ {\displaystyle \lambda } is a parameter which controls the importance
Regularization_(mathematics)
Problem in network theory
Probabilistic soft logic (PSL) is a probabilistic graphical model over hinge-loss Markov random field (HL-MRF). HL-MRFs are created by a set of templated
Link_prediction
Series of personal digital assistants
clamshell design had some problems, including breakages of any of the four hinges; loss of function in the button bar between the two halves of the clam; and
Psion_Series_3
Paradigm in machine learning
data. In addition to the standard hinge loss ( 1 − y f ( x ) ) + {\displaystyle (1-yf(x))_{+}} for labeled data, a loss function ( 1 − | f ( x ) | ) + {\displaystyle
Weak_supervision
Method of machine learning
bounds for the online version of SVM's for classification, which use the hinge loss v t ( w ) = max { 0 , 1 − y t ( w ⋅ x t ) } {\displaystyle v_{t}(w)=\max\{0
Online_machine_learning
Species of tortoise
Home's hinge-back tortoise (Kinixys homeana) is a species of tortoise in the family Testudinidae. The species is endemic to Africa. The specific name
Home's_hinge-back_tortoise
Deep learning method
even though GAN cannot perform maximum likelihood estimation itself. Hinge loss GAN: L D = − E x ∼ p ref [ min ( 0 , − 1 + D ( x ) ) ] − E x ∼ μ G
Generative adversarial network
Generative_adversarial_network
Use of machine learning to rank items
the goal is to minimize a loss function L ( h ; x u , x v , y u , v ) {\displaystyle L(h;x_{u},x_{v},y_{u,v})} . The loss function typically reflects
Learning_to_rank
Statistical machine learning algorithm for metric learning
{x}}_{i},{\vec {x}}_{j})+1-d({\vec {x}}_{i},{\vec {x}}_{l})]_{+}} With a hinge loss function [ ⋅ ] + = max ( ⋅ , 0 ) {\textstyle [\cdot ]_{+}=\max(\cdot
Large_margin_nearest_neighbor
Aircraft component
flapping hinge may be located at varying distances from the rotor hub, and there may be more than one hinge. The vertical hinge, called the lead-lag hinge or
Helicopter_rotor
Overview of and topical guide to machine learning
factor analysis Highway network Hinge loss Holland's schema theorem Hopkins statistic Hoshen–Kopelman algorithm Huber loss IRCF360 Ian Goodfellow Ilastik
Outline_of_machine_learning
Concept in regression analysis mathematics
loss function V {\displaystyle V} , this approach defines a general class of algorithms named Tikhonov regularization. For instance, using the hinge loss
Regularized_least_squares
Set of machine learning methods
{\displaystyle \mathrm {E} } is typically the square loss function (Tikhonov regularization) or the hinge loss function (for SVM algorithms), and R {\displaystyle
Multiple_kernel_learning
Technique for shaping training datasets
program, but it is also equivalent to Tikhonov regularization with the hinge loss function, V ( f ( x ) , y ) = max ( 0 , 1 − y f ( x ) ) {\displaystyle
Manifold_regularization
Mathematical model used for classification or regression
reducing dimension. Empirical risk minimization Common loss functions (log loss, hinge loss, squared loss) Regularization (L1/L2) Optimization methods (gradient
Discriminative_model
Evolutionary algorithm
based on the probabilities include maximum likelihood estimation and hinge loss. In logic there is no model structure (as defined above for classification
Gene_expression_programming
1916 film
Hell's Hinges is a 1916 American silent Western film starring William S. Hart and Clara Williams. Directed by Charles Swickard, William S. Hart and Clifford
Hell's_Hinges
Restraint devices
proximity to each other. They comprise two parts, linked together by a chain, a hinge, or rigid bar. Each cuff has a rotating arm which engages with a ratchet
Handcuffs
Saddle Joint / Gilding Joints / Ball and Socket Joints / Pivot Joints / Hinge Joints The Human Brain John T. Bobbitt (producer); Nathaniel Kleitman B&W
List of Encyclopædia Britannica Films titles
List_of_Encyclopædia_Britannica_Films_titles
Non-parametric regression technique
y to take into account non-linearity. The kink is produced by hinge functions. The hinge functions are the expressions starting with max {\displaystyle
Multivariate adaptive regression spline
Multivariate_adaptive_regression_spline
Bach, Stephen; Broecheler, Matthias; Huang, Bert; Getoor, Lise (2017). "Hinge-Loss Markov Random Fields and Probabilistic Soft Logic". Journal of Machine
Collective_classification
Ongoing protests in Pakistan-administered Kashmir
Abid Hussain (27 July 2026). "Pakistan's Kashmir votes: Why the election hinges on 12 disputed seats". Al Jazeera. In mid-July, JAAC leader Umar Nazir Kashmiri
2026_Azad_Kashmir_protests
Brazilian jiu-jitsu practitioner from the USA
Josh Hinger (born May 28, 1982) is an American submission grappler and Brazilian jiu-jitsu (BJJ) black belt competitor as well as former mixed martial
Josh_Hinger
Video-focused social media platform
Kristina; Volz, Dustin; Andrews, Natalie (15 March 2024). "TikTok's Fate Now Hinges on the Senate". The Wall Street Journal. Archived from the original on 16
TikTok
to reforming or bypassing it, as Trump indicated his endorsement could hinge on the bill's passage. Both candidates continued to court Trump's endorsement
2026 United States Senate election in Texas
2026_United_States_Senate_election_in_Texas
2020 film by Christopher Nolan
Pamela (July 8, 2020). "Can the Summer Box Office Be Saved? Hollywood Hinges Its Hopes on "Tenet" and "Mulan"". The Hollywood Reporter. Retrieved July
Tenet
Simple machine consisting of a beam pivoted at a fixed hinge
is a simple machine consisting of a beam or rigid rod pivoted at a fixed hinge, or fulcrum. A lever is a rigid body capable of rotating on a point on itself
Lever
Large door on a garage that accommodates vehicles entering and exiting
overhead garage doors are now generally built as several panels that are hinged together and are guided by rollers along tracks on each side. The weight
Garage_door
Holocene climate period during which northern Africa was wetter than today
precipitation between southeast Africa and tropical East Africa, separated by a "hinge zone". Particular changes occurred in central southern Africa, where a dry
African_humid_period
battle gear and secure entry by banging on doors or blowing them off their hinges. Surging blips in frequency may relate to rotation of new units into an
Human rights violations against Palestinians by Israel
Human_rights_violations_against_Palestinians_by_Israel
wheel conveyors, extensible-roller or telescopic-roller conveyors, and hinged-roller conveyors (gates) — Safety code [Withdrawn: replaced with ISO 7149]
List of ISO standards 3000–4999
List_of_ISO_standards_3000–4999
2023 film by Christopher Nolan
of This Century', Raves Paul Schrader: 'This One Blows the Door Off the Hinges'". Variety. Archived from the original on January 18, 2024. Retrieved January
Oppenheimer_(film)
Character in the Toy Story franchise
in a museum, which requires a Woody doll: "her whole love of children is hinged around the fact that Woody got there". He said that several attempts were
Jessie_(Toy_Story)
Semiconductor light source
walls in the form of LED wallpaper. LEDs require optimized efficiency to hinge on ongoing improvements such as phosphor materials and quantum dots. The
Light-emitting_diode
Selection of the Republican Party nominee
Aaron (May 6, 2026). "'The Kamala Harris problem': Vance's 2028 hopes hinge on Trump, Iowa Republicans say". Politico. Retrieved May 10, 2026. Florio
2028 Republican Party presidential primaries
2028_Republican_Party_presidential_primaries
American multinational technology company
lightweight VR viewer which lets the user place their smartphone in the front hinge to view VR media. Other hardware products include: Nest, a series of voice
American writer (1934–2021)
of The New York Review of Books under the title "Fixed Opinions, or The Hinge of History") The Year of Magical Thinking (2005) Blue Nights (2011) South
Joan_Didion
Universal Pictures media franchise
Furious Live often feels like an elaborate if lethargic playground game, one hinging almost entirely on imagination." The tour was a financial failure; the
Fast_&_Furious
Earth's most severe extinction event
marine invertebrate groups included articulate brachiopods (those with a hinge), which had undergone a slow decline in numbers since the P–Tr extinction;
Permian–Triassic extinction event
Permian–Triassic_extinction_event
Ongoing hip-hop feud since 2013
Doreen St. Félix wrote for The New Yorker in 2018 that Drake's success "hinged on outfoxing artists who are stubbornly attached to rap's dated notions
Drake–Kendrick_Lamar_feud
Twenty20 cricket tournament
toss and elected to field. Praful Hinge and Sakib Hussain (Sunrisers Hyderabad) both made their IPL debuts. Praful Hinge also became the first bowler to
2026_Indian_Premier_League
Inflammation of the entire cross-section of the spinal cord
1002/ana.410040110. PMID 697326. S2CID 38183956. Christensen PB, Wermuth L, Hinge HH, Bømers K (May 1990). "Clinical course and long-term prognosis of acute
Transverse_myelitis
1979 nuclear accident in Pennsylvania
Gundersen also claimed that the control room shook and doors were blown off hinges. However, official NRC reports refer merely to a "hydrogen burn".[verification
Three_Mile_Island_accident
Class of molluscs
compressed soft bodies enclosed by a calcified exoskeleton consisting of a hinged pair of half-shells known as valves. As a group, bivalves have no head and
Bivalvia
5, 2024. Leary, Alex (November 4, 2020). "Trump's Florida Election Win Hinged on Big Gains in Miami-Dade". The Wall Street Journal. ISSN 0099-9660. Archived
2020 United States presidential election
2020_United_States_presidential_election
Indian combat aircraft
2026). "IAF, HAL to hold Tejas Mk1A review this month; delivery timeline hinges on mandatory requirements". The New Indian Express. Retrieved 3 April 2026
HAL_Tejas
American subsidiary of automaker Stellantis
transmissions. The Facel Vega Excellence was a four-door hardtop with rear-hinged coach doors that listed for US$12,800 ($142,837 in 2025 dollars ). In 1960
Chrysler
Roman god
power the tutelage of the vast universe,/ and the right of turning its hinge is all mine". G Capdeville above p. 405–406, following in part L. Havet
Janus
1849–1850 novel by Charles Dickens
response, which give this novel the privileged position of representing the hinge of the century. The memories of Dickens are, according to Paul Schlicke
David_Copperfield
Light ground attack and training aircraft
zero-zero ejection seats. The structure is corrosion-protected. The side-hinged canopy has a windshield able to withstand bird strike impacts up to 270 kn
Embraer_EMB_314_Super_Tucano
American comedian and actor (born 1979)
filmed in a style similar to Bravo's The Real Housewives. Episodes often hinge on the "real" Hart's desperately unsuccessful attempts to climb Hollywood's
Kevin_Hart
British television documentary series with Jeremy Clarkson
permission, Jeremy decides to set up shop there. However, the plan's success is hinging on the council not objecting to anything about the site, meaning that nearly
Clarkson's_Farm
American basketball player (born 1988)
Branch, John (April 18, 2014). "Thunder's Lofty Hopes Rest on a Fragile Hinge". The New York Times. Retrieved June 23, 2024. "Russel Westbrook Playoff
Russell_Westbrook
1991 American kidnapping case
Cathy Cockrell (August 28, 2009). "Arrest of kidnap suspect Phillip Garrido hinged on instincts and diligence of two members of UC Berkeley police force".
Kidnapping_of_Jaycee_Dugard
Indian defense projects under DRDO
cools. The surface shifts without the gaps, discontinuities, or exposed hinges of conventional control surfaces. The radar-reflective edges of flaps and
Projects_of_DRDO
American actor (1976–2020)
Boseman's performance, saying that "many of the important turns in the film hinge on Boseman's presence at the center. [...] In the first of his lachrymose
Chadwick_Boseman
for good, they must connect him to Rodney Summers' murder, a goal that hinges on finding the murder weapon. Antagonist: Sons of the Reich: A Neo-Nazi/white
List of Walker, Texas Ranger episodes
List_of_Walker,_Texas_Ranger_episodes
Re-engined version of the A320 family
wingtips to 45m with an aspect-ratio of 14. Additional semi-aeroelastic hinges could lead to 52m wingspan with an aspect-ratio of 18, still fitting in
Airbus_A320neo_family
1966 drug arrest
JSTOR 28035828. Stallard, Jeffrey (November 10, 1967). "Two marijuana cases hinge on Constitution". Los Angeles Free Press. p. 2. JSTOR 28039688. Ward, Charles
The Lovin' Spoonful's drug bust
The_Lovin'_Spoonful's_drug_bust
1963 film by Stanley Kramer
fire-engine tower. The only new idea, occurring well into the third hour, hinges on a surprise development in the character of a proud, plodding chief of
It's a Mad, Mad, Mad, Mad World
It's_a_Mad,_Mad,_Mad,_Mad_World
Genus of Auk
carry one fish at a time. This behavior is made possible by the unique hinging mechanism of their beak, which allows the upper and lower biting edges
Puffin
Slave trade between Africa and the West
slave trader: "What a glorious and advantageous trade this is ... It is the hinge on which all the trade of this globe moves." Slave trading became a business
Atlantic_slave_trade
Heavy-duty line of trucks manufactured by Ford
configuration of the Super Duty marked the introduction of two standard rear-hinged doors on the extended cab, a feature also adopted by the F-150 and Ranger/Mazda
Ford_Super_Duty
1973 war between Israel and Arab states
Security Advisor Henry Kissinger believed that the regional balance of power hinged on maintaining Israel's military dominance over Arab countries and that
Yom_Kippur_War
Sloop of the Royal Navy
6-pounder guns and 12 swivel guns. At his own expense Cook had brass door-hinges installed in the great cabin. It was originally planned that the naturalist
HMS_Resolution_(1771)
soon begins to suspect a link between the two murders, and that everything hinges on the events surrounding the Haley Sisters after 1965. Guest stars: Michael
List of Murder, She Wrote episodes
List_of_Murder,_She_Wrote_episodes
British breed of toy dog spaniel
mitral valve disease is generally (as in humans) a disease of old age. The "hinge" on the heart's mitral valve loosens and can gradually deteriorate, along
Cavalier_King_Charles_Spaniel
Major World War II battle from 1942 to 1943
Glantz & House 2009a, p. 204. Kaplan, Robert (2023). "Stalingrad: The Hinge of History – How Hitler's hubris led to the defeat of the Sixth Army". Journal
Battle_of_Stalingrad
Brazilian footballer (1954–2011)
elections were not accepted by the regime, he'd go play in Italy." By hinging his transfer abroad on the outcome of a constitutional amendment, Sócrates'
Sócrates
Ammonium nitrate explosion in Lebanon
118-year-old door which opened onto the main exhibition space was blown off its hinges. Bustros Palace, which hosts the Ministry of Foreign Affairs and Emigrants
2020_Beirut_explosion
Major League Baseball franchise in Detroit, Michigan
Stark, Jayson (March 13, 2009). "Jayson Stark: Detroit Tigers' success hinges on pitching". ESPN. Archived from the original on October 16, 2018. Retrieved
Detroit_Tigers
Large twin-aisle airliner family
trailing-edge high-lift device has been adopted with an advanced dropped-hinge flap similar to that of the A380, which permits the gap between the trailing
Airbus_A350
2007 tornado in southwest Kansas, United States
steel vertical columns along the school's window sills, accompanied by weak hinge lines, was concluded to have led to the collapse. Like the high school,
Greensburg_tornado
1st episode of the 6th series of Black Mirror
22 August 2023. Patten, Dominic (11 July 2023). "SAG-AFTRA Strike Could Hinge On AI; Deep Divisions Remain Between Actors & Studios In Final Hours Of
Joan_Is_Awful
Series of American full-size automobiles by General Motors
row, two in the middle row, and three in the rear row. Either the side-hinged rear panel doors or a rear tailgate/lift window could be selected for cargo
Chevrolet_Suburban
Extinct species of deer
palaeontologist Dale Guthrie suggested that, like bison, the hump allowed a higher hinging action of the front legs to increase stride length while running. Valerius
Irish_elk
Armed conflict in the Middle East
Western commentators have argued that the Iranian policy in Yemen has been hinged on developing bases for ballistic missiles targeting GCC countries, establishing
Yemeni civil war (2014–present)
Yemeni_civil_war_(2014–present)
2025 Indian film by Rishab Shetty
"Kantara Chapter 1 Review: Rishab Shetty Delivers A Killer Climax, Film Hinges On Music And Visuals". News 18. Retrieved 3 October 2025. Adivi, Sashidhar
Kantara:_Chapter_1
American stealth multirole fighter aircraft
a helmet-mounted display system (HMDS). The one-piece tinted canopy is hinged at the front and has an internal frame for structural strength. The Martin-Baker
Lockheed Martin F-35 Lightning II
Lockheed_Martin_F-35_Lightning_II
Species of carnivorous plant
heart-shaped photosynthesis-capable petiole, and a pair of terminal lobes hinged at the midrib, forming the trap which is the true leaf. The upper surface
Venus_flytrap
United States automatic rifle family
with a leg height adjustment feature attached to the gas cylinder and a hinged steel butt plate, was formally approved on 24 June 1937. The M1918A1 was
M1918 Browning automatic rifle
M1918_Browning_automatic_rifle
American brain injury survivor (1823–1860)
and running down the front of the skull, they concluded that the skull "hinged" open as the iron entered from below, then was pulled closed by the resilience
Phineas_Gage
Atmospheric electrical phenomenon
unconscious. The door-frame of the room was split and the door was torn from its hinges. An English journal reported that during an 1809 storm, three "balls of
Ball_lightning
Motor vehicle
Defender 110 has roof lights), the two-piece rear door, the exposed door hinges and the multi-purpose ‘utility rails’ that run along the exterior of the
Ineos_Grenadier
Abrasives Axe Adze Burnisher Chisel Drawknife Drill Fence Float Gimlet Gauge Hinge bender Impact driver Janka hardness test Jointer Mallet Milling machine
List_of_tools_and_equipment
2026 United States Supreme Court case
Romm, Tony; Swanson, Ana (September 10, 2025). "Trump's Economic Agenda Hinges on the Supreme Court's Tariff Ruling". The New York Times. Retrieved October
Learning Resources, Inc. v. Trump
Learning_Resources,_Inc._v._Trump
Team field sport
Retrieved August 3, 2019. Kubena, Brooks (September 3, 2024). "NFL's Brazil bet hinges on cultivating uncharted football landscape, capitalizing on niche passion"
American_football
Huey family of American military utility helicopters
forward-hinged panels. The doors and hinged panels may be removed for flight or the doors may be pinned open. Pilot access is via individual hinged doors
Bell_UH-1_Iroquois
End of the human species
Oxford University Press. p. 616. ISBN 9780199681044. We live during the hinge of history ... If we act wisely in the next few centuries, humanity will
Human_extinction
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