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["Mix chiles, garlic, onion, and vinegar in a small bowl; season with salt.", "Thinly slice sweet potatoes and carrots into 3x1/4"" planks (use a mandoline if you have one), then slice lengthwise into matchsticks. Place in a medium bowl and toss with a few pinches of salt. Let sit until slightly softened, about 30 minutes. Rinse off salt and pat dry.", "Pour oil into a large heavy pot to a depth of at least 2"" but with at least a 4"" headspace, as oil will bubble aggressively when you add fritters. Fit pot with thermometer; heat oil over medium-high until thermometer registers 330u00b0F-340u00b0F.", "Meanwhile, combine club soda and fish sauce in a large measuring glass. Add cornstarch and whisk until smooth. Place half of sweet potato and carrot mixture, shrimp, and cilantro in a medium bowl and toss to combine. Pour in half of cornstarch slurry and toss to coat (slurry should cling to shrimp and vegetables in a light, even layer).", "Using a slotted spoon, carefully lower half of slurry-coated vegetable and shrimp mixture into oil. Once bubbling subsides, mixture will disperse across the surface of oil. Using a spider or a clean slotted spoon, corral vegetables and shrimp by gathering them against the side of the pot until they form a large mound that clings together and can be turned as a single unit. Fry, turning occasionally and increasing heat as needed to keep oil temperature between 330u00b0F and 340u00b0F, until fritter is golden brown and crisp around edges, about 4 minutes. Transfer to a wire rack set inside a rimmed baking sheet. Repeat process with remaining slurry-coated vegetable and shrimp mixture, adding a splash or so of club soda if needed to loosen batter (it should look like a glossy coating), to make another fritter.", "Repeat entire process with remaining sweet potato and carrot mixture, cilantro, shrimp, and cornstarch slurry to make 2 more fritters.", "Season fritters lightly with salt. Serve with chile vinegar alongside for dipping.", "Chile vinegar can be made 3 days ahead. Cover and chill.", "Vegetables can be salted, drained, and patted dry 1 day ahead. Cover and chill."]